diff --git "a/data/dm_maths/full_data_1/11198_11255.jsonl" "b/data/dm_maths/full_data_1/11198_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11198_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 9221*n**2 - 4607*n**2 - 4616*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7. Let m(q) = -5*q - q - q**3 + 2*q**3 - 4*q**2 + v. Determine m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367845374 to the power of 1\/2, to the nearest integer?\nAnswer: 19179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 303 = 601 - 414 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20164 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h. Let j(l) = -5*l**3 - 8*l**2 - 8*l. Let m(d) = d**3 + d**2 + d - 1. Let v(i) = -j(i) - 4*m(i). Let r be v(-3). Let b = -2 + r. Give g(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 1))) + -1 + 4)**2.\nAnswer: -184165 + 3080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/(sqrt(12)*-1))\/(sqrt(300)*2).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 7\/6851312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:47 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 2}. Give prob of sequence rro.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3690734 and 22338.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 11. Let t be m(8). Suppose t - 1 = k. Factor g**4 + 5*g**2 + g - 4*g**2 + 7*g**3 + 2*g**4 + k*g**2.\nAnswer: g*(g + 1)**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 2*y + 3*y)*(-3*y**3 + 2*y**3 - 3*y**3) + (-3*y**3 - 3*y**3 + 3*y**3)*(-y + 0*y + 4*y) as r*y**2 + a + v*y + m*y**4 + g*y**3 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:12 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0624150805*1\nAnswer: 0.0624150805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220000 + 100?\nAnswer: 1220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w**(1\/3)))\/w)*(w*w**7)\/w)**(-5\/4))**(-22) assuming w is positive.\nAnswer: w**(770\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 3755198 and -85229.\nAnswer: 3669969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 15. Let i = x + 4. What is the biggest value in i, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 7:22 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111101001010101 (base 2) to base 15.\nAnswer: 28616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26208495 is divided by 2998.\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2221 and -24589898?\nAnswer: 24587677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/19)\/(v*(v*v**26)\/v*v)*(v\/(v**(-1\/17)*v))\/(v*v\/(v\/v**17)) assuming v is positive.\nAnswer: v**(-14856\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 4*l - 3*l + 5*l**2)*(-36 + 21 + 21) to p*l + c*l**2 + d and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5388*n**2 + 2221 - 36037*n**2 - 2221 as r*n**2 + f + h*n and give r.\nAnswer: -30649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3322246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5180.220914425 from -0.4.\nAnswer: 5179.820914425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2240 and -45\/4.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 33. Calculate the common denominator of 59\/42 and (-131)\/w - (-33)\/44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*z - 6, 6*z - 12 = 3*z + 3*o. Let d(q) = 10*q**2 - 50*q + 3. Let x be d(5). Solve x*m + 4 = z*f, -m = 3*m + 4*f - 28 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**7\/780 + x**6\/195 - 5*x**5\/156 + x**4\/26 + 2*x**3\/3 + 13. Let k(s) be the third derivative of r(s). Factor k(y).\nAnswer: 2*(y - 1)*(y + 3)*(7*y - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80099 or -80167?\nAnswer: -80099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -1.72\nAnswer: -0.1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(143) - sqrt(143)*-1)\/sqrt(11).\nAnswer: 2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -12720150.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51027.44 days in microseconds?\nAnswer: 4408770816000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 + 345. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 5 + 4*n - 4*n. Let m be i(4). Suppose m*z = z. Solve 2*l - 8 = -z*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216 + 444*y + 71 + 75 + 72 to n + z*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + 0.2. Let f = 34 + -59. Let r = f - -30. Is r less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0804117 + -0.0805. Round c to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 + 22535?\nAnswer: 22323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/22 and 41\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*s = -95, -148 = -97714*v + 97829*v - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-24)*(-27792)\/(-78165)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.86 - 0.06. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 5*s - 3*f + 4*f, f = 3*s - 133. Calculate the smallest common multiple of s and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(4536) - sqrt(4536))\/(sqrt(32) + sqrt(224)\/sqrt(7))*-1)**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4183 and 383413780.\nAnswer: 4183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 259392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171))**2*6 + (sqrt(1900) + -1 + sqrt(1900))**2 + 1)*5.\nAnswer: -200*sqrt(19) + 43140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose -3*y + x*y - 9 = 0. Let q = 1.5082 + -1.1082. What is the nearest to q in 0.3, 5, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215391411?\nAnswer: 13, 19, 4920613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 0*w**2 - 178 + 23\/3*w**3 + 0*w. Let z(t) be the first derivative of -2*t**3\/3 + 1. Calculate r(z(m)).\nAnswer: 92*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.096054 decades?\nAnswer: 0.5096054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 + 5*k**2 + 4*k - 2. Let l(c) = -c**3 + c**2 + c. Let f(x) = -b(x) + 4*l(x). Calculate the remainder when f(0) is divided by 2*(-2)\/(-1) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**2 + p**3 + 2*p**2 + 12*p**2 - 7. Let o be r(-5). Suppose -2*z - o = -6*z - 5*n, 5*z + 3*n = 126. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 2. Let a(w) = 3*w - 3. Let u(f) = -7*f**2 + 6*f + 8. Let g be u(-5). Let r = 193 + g. What is r*o(i) - 3*a(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 177840 divided by 16?\nAnswer: 11115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31466900*m**5 + 4*m**2 + 78*m - 4903.\nAnswer: 1888014000*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1 + 1 - 1 + 1 + (4 - 5 + 2)*(-4 - 3 + 6) - 5 + 4 + 0 - 4 + 0 + 5 + 2 + 0 - 1)*(-47*o**5 + 100*o**5 - o - 50*o**5).\nAnswer: -3*o**5 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5463 (base 7) to base 5\nAnswer: 30311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 4. Let l(j) = -j + 1. Let s be 1*1\/(-3) + 48\/(-72). Let a be l(s). Suppose 0 = p - 1 + 2. Let f(d) = -1. What is a*f(q) + p*r(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 = 3*f, -4*f - 3*j - 4 = -15. Let v be (2\/2)\/(1\/f + 0). Suppose v*g + 3*r = 370 + 148, 2*g = 5*r + 534. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9339 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 312\/(-22) + 10\/55. Let z = 48 + p. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -93*-3*4\/36. Let a = 52 - b. Let s = a + -4. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5.17. Let u = -0.1 + o. What is u rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -38.02.\nAnswer: -190.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c**3 + 409*c**2 + 1588*c + 7. Give k(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (50\/(-40) + 13\/4). Let k(b) be the third derivative of 0*b**6 - 1\/270*b**5 + 0*b + 0*b**4 + 1\/945*b**7 + c*b**2 + 0 + 0*b**3. Factor k(a).\nAnswer: 2*a**2*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -83*n + 15. Let o(s) = 248*s - 38. Give -3*o(w) - 8*x(w).\nAnswer: -80*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792 a factor of 8456968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857 - 5731 = -14*t - 50*t - 44*t for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(5\/(-2)) + (-236)\/(-10). Let l(q) = 32*q + q**2 + a*q - 49*q. Let h(v) = 4*v. Determine 5*h(r) - 3*l(r).\nAnswer: -3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*r - 2973 = -3*r, 3*d + 3*r = 1779. What are the prime factors of d?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6004 (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 + 6*n - 5. Let r(i) = i**3 + 8*i**2 + 2*i + 19. Let k be r(-8). What is the units digit of a(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/(y*y\/y**(-2\/7))*(y*y*y**(-3))**35)**(-1\/19) assuming y is positive.\nAnswer: y**(317\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -11*h**2 + 1 + 17*h**2 - 6*h - 5*h**2. Determine p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 21*j**3 + j**2 - 3*j + 1. Let o be g(2). Suppose -3*n + 539 = o. Suppose -2*l + 6*l = n. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1676*g - 1681*g - 1 = -t, -2*t = 3*g - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5.9601 times -3\nAnswer: 17.8803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146973967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.0863m in nanometers?\nAnswer: 95086300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154860307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 8*i - 6*i + 5*m, i - 5*m - 21 = 0. Let u be ((i - -3) + -7)\/(2\/(-72)). Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 315\/(-25)*4\/(-6) - -4. Let n = g + -199\/10. Suppose -2 - 34 = 2*v + 4*f, -5*v - 35 = -f. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 123, 1162, 3989, 9498, 18583, 32138?\n\"Answer: 149*o**3 - 4*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 207 = -117. What is the greatest common factor of 142 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 2*u = -28*d + 19, -3*d + 4*u = 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 100073.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*l**3 - 182*l**3 + 1 - 344*l**3 + 0 - 164*l**3.\nAnswer: -946*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/16)\/((-300)\/3). Let j = 391\/1800 - l. Which is the third smallest value? (a) 1 (b) j (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -141?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024028 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42385 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 sixth biggest value? (a) 3 (b) -5 (c) -0.1 (d) 125 (e) -8 (f) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from guw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1215 and 10845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**9\/d)**(-5\/2)\/(d**(-2\/13)\/d**(2\/37)) assuming d is positive.\nAnswer: d**(-21445\/962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 50*q - 1412. Let z be l(-70). What is the second biggest value in -0.3, z, 12, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7*i + 72. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcfccccccffccffccc. Give prob of picking 3 c.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7379 - 7637. Is -265 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:18 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r**2 + 2*r - 6. Determine u(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*c**2 - 2*c + 0*c - 5*c - 7*c.\nAnswer: 49*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-540)\/(-8))\/45)\/((-3)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 + 113 = 4*q, 0 = -q - u + 24. What is the remainder when q is divided by ((-2)\/(-4))\/(2\/52)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12*6*2063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15237836 divided by 4\nAnswer: -3809459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 + 49*r**2 + 83 + 78*r - 187 as m*r + v + h*r**2 and give m.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.66168 and 2226.\nAnswer: 1472.89968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (8 + -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + -0.8. Let m = 17\/123 - 1\/205. Which is the third smallest value? (a) m (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(3*t**3 + 0*t**3 - t**3) - 687*t**3 + 303*t**2 - 303*t**2.\nAnswer: -683*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4224\/48)\/44*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/389, 1\/2, -28?\nAnswer: 3\/389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 46*a**3 + 6*a**2. Let b(u) = -553*u**3 - 70*u**2. Determine -6*b(y) - 70*f(y).\nAnswer: 98*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 16*v - 2. Let x be y(10). Suppose 0*r - 2*r = 4*s - x, -3*s = -4*r - 120. Suppose 2*k - s = -2. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 4*g. Let a(x) = x**2 + x + 13. Determine a(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 8. Let m(j) = -j**2 + 16*j - 53. Let a be m(11). Let i = -3 - -1. Sort i, a, w in descending order.\nAnswer: a, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 215800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 31*j**4\/24 + 19*j**3\/3 - 8302*j**2 + j. Give q(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021111100100 + -10?\nAnswer: -1021111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 80 - 42 - 6322*u**3.\nAnswer: -6322*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k = 61*k + t + 8, 0 = 4*k - 3*t + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*d*z + 1547*d + z wrt z?\nAnswer: -67*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 3*t - 6, -5*s + 4*t = -2 + 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 89 = 3*s, 6*s - 184 = 59*p - 108*p + 51*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 + 2*y + 2. Let p(x) = -4*x**2 + 2*x + 2. Calculate 3*p(i) - 2*z(i).\nAnswer: -4*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**33\/l)\/(l\/l**(-21)) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.08 - 0.28. Let b = 2.36 + k. Put -4, 6\/5, b, -2 in decreasing order.\nAnswer: 6\/5, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-6 + -6 + 6 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a - 7*a - 8*a - 10*a + 39*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -126. Let j = c - 114. Let i = j - -63. What is the closest to 2 in 0.06, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1574475, 3148860, 4723245?\nAnswer: 6297630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -9*v - 65 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.2, 1161018?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 6745?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-10*69\/(-12))\/((-180)\/(-72)))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*p - y, -2*p - 11*y + 14*y = -16. Suppose 4*j = 5*j - 120. Suppose -3*g = -0*g - j. Calculate the highest common factor of p and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -637 - -559. Sort 5, 2, m in descending order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 - -0.69. Which is the closest to 6? (a) g (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 473015? (a) -2\/13 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/(-12)*3\/12*30\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-714) + 1\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w - 13. Let m(j) = -7*j - 35. Let k(q) = 4*q + 16. Let x(c) = 7*k(c) + 3*m(c). Determine -6*b(f) - 11*x(f).\nAnswer: 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -222*f**3 + f**2 - 2*f + 1. Suppose 0 = 2*x - 2 - 2. Let l be q(x). Let n = l - -3240. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25778.\nAnswer: 2, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 + 311 + c - 630.\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*b + 229*b + 21105 = -2780*b - 1684*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 69. Let u(z) = 4*z - 3. Suppose 12 = 4*x, 3*x - 6*x = 4*c - 17. Let v be u(c). Solve 5*w = -5*o - v, w - 2 = h*o + 5*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377968?\nAnswer: 2, 71, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/80 + -1\/16. Solve 0*s + v*s**2 - 2\/5 = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6201 and -17006175863.\nAnswer: -17006169662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j - 8 - 2*j**3 - 22*j.\nAnswer: -2*j**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t. Let h(r) = -3*r - 3. Let z(n) = -1. Let k(x) = 4*h(x) - 12*z(x). What is k(v(o))?\nAnswer: -84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 + 2*k**3)*(-2*k**2 - 2*k**2 + 2*k**2 + (0 + 0 - 5)*(-k**2 + k**2 + k**2)).\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 964.28703 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r + 80. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 534 + -532. Let j(z) = 9*z**2 - 11*z + 21. What is the remainder when j(n) is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 117. Is 5 a factor of f\/(-3) + (-1737)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) -4 (c) -0.11 (d) -0.4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 6980*d = 0.\nAnswer: 0, 1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1, 3\/7, 9\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157947c - 5?\nAnswer: 1579477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 - 3*n - 5. Let y be f(-3). Suppose 88 = y*c - 5*x, -2*c = 9*x - 5*x - 44. Suppose -97 + c = -3*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + d + 80, 5*d - 6 = 14. Let n = -213 - -178. Let x be (55 - 54)\/((-1)\/n). What is the greatest common factor of x and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)*l**(3\/7)*((l\/(l*l*l**(-2\/35)*l*l*l))\/l)\/(l*l\/(l\/l**(8\/5))) assuming l is positive.\nAnswer: l**(-244\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*o + 5 = -z, -6 = 2*z - 5*o. Let r = -4.7877 + -0.2123. What is the third biggest value in r, z, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-77920)\/16. Let d = -868 + s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3978?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292108153130*r**2 + 292108153130*r**2 + 368*r**3.\nAnswer: 368*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w + 11. Let t(s) = -18*s + 5*s**2 - 19*s - 11 + 29*s - 4*s**2. Let d(p) = 6*o(p) + 7*t(p). Determine d(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4190642*j**4 - 54*j**3*u - 7*j**2*u + 26882278*j wrt j.\nAnswer: -100575408*j - 324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -343.03, 3\/10, -2, 0.2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:46 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*r - 5*x + 36 = 86*r, 5*r + 5*x + 45 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -145, -64, -19, -10, -37?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 4*p**2 + 6*p - 19. Calculate r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358189 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(12 - 1288\/105). What is the nearest to 2\/7 in n, -2\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/10 + 2*k**3\/15 - 77. Determine v so that r(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/167018 and 39\/10.\nAnswer: 835090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*v = 14 + 8, -t + 2*v = 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w**3 + 4*w**2 - 17*w. Let u(v) be the second derivative of -v**5\/5 - v**4\/12 + 2*v**3\/3 - 3684*v. Calculate -26*u(r) - 6*x(r).\nAnswer: 2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3.9. Let o = -41 - -40.9. What is the nearest to v in 5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 2.01. Let g = x - 5. Let f = -14 + 17. Which is the nearest to -1\/3? (a) 2 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1102023?\nAnswer: -1102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1)*(-5)\/(-2). Suppose -5*l + 2*l = -x. Let o(a) = 2*a + 2. Let y be o(-3). Put l, y, 1 in ascending order.\nAnswer: y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 863670229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10289783?\nAnswer: 7, 1469969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**4\/8 - 3*z**2. Let d(o) = 1. Let m(v) = 2*v - 2. Let s(c) = 4*d(c) + 2*m(c). What is s(n(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -868502, -1737013, -2605508, -3473981, -4342426, -5210837, -6079208, -6947533?\n\"Answer: v**3 + 2*v**2 - 868524*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100808370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102212002201 - 1210201?\nAnswer: 1102210022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198*q**2*s**3 - 57110*q**2*s - 1704*s**4 + s**2 wrt s?\nAnswer: 1188*q**2 - 40896*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1197*w**3 - 82*w**2 - 104*w**2 + 1200*w**3 + 378 - 195*w = 0. What is w?\nAnswer: -2, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*r - 85887 + 86706 = -20*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31151, 30759, 30353, 29927, 29475, 28991?\n\"Answer: -n**3 - n**2 - 382*n + 31535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -6, 0, 0.5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/9)*o)\/(o\/o**8))\/(o*(o\/o**(-2\/5))\/o)**36 assuming o is positive.\nAnswer: o**(-1888\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103 in 3, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 2*x. Solve x = 3*l - 8*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k**2 - 97*k + 151. Let w(j) = -14*j**2 - 98*j + 150. Let g(o) = -6*p(o) + 5*w(o). Differentiate g(b) with respect to b.\nAnswer: 4*b + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) + 16\/42. Suppose 0*t + t - 10 = -3*b, 2*b - 3*t = 14. Suppose -4*p - 35 = -2*c - 13, -p = 5*c - 11. What is the nearest to -0.1 in z, b, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -3 (c) 2 (d) -0.4 (e) 20 (f) 12032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*a - 2 + 2)*(-3 - 1 + 2) + (2*a + 0*a - a)*(-4 - 2 + 5))*(731 - 472 - 506 + (4 - 4 + 1)*(0 - 2 + 3) + 2 - 2 + 2).\nAnswer: 4636*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let v = -0.1 + 0. Let i = v - -1.1. What is the second smallest value in i, 2\/7, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 115, 90, 55, 10, -45?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 19 - 0 - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1425, -3886, -7375, -11892, -17437, -24010?\nAnswer: -31611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 716990490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -980 divided by 245?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/7 (b) 0.062 (c) -14 (d) 0.0503\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uee when three letters picked without replacement from {s: 1, u: 1, e: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = 25*p - 75348. What is the highest common factor of p and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -894230 to the nearest one thousand.\nAnswer: -894000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -0.724329?\nAnswer: 5.275671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 9*y**2 - y - 5. Let r be f(-9). Suppose r = -5*n + 14. Let j be (-44)\/60 - n\/(-6). Which is the third smallest value? (a) j (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 64594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**2\/2 - 2. Let o be s(-1). Let f = 1 - o. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*f + 2*f - 102*f + 196*f + 96*f.\nAnswer: 435*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1993838, 4 in increasing order.\nAnswer: -1993838, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 3*w = 5*k + 17, 5*w = 4*k - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/297 and 31\/2079.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11350964.43 to the nearest one hundred.\nAnswer: 11351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -734765, -1469450, -2204149, -2938868, -3673613, -4408390?\nAnswer: -5143205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35340 is divided by 146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66994*n - 200 = 67019*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -5*c + 386, z + 82 = 3*z + 4*c. Let n(g) be the third derivative of -1\/30*g**5 + 0 - z*g**2 - 1\/3*g**3 + 0*g - 1\/6*g**4. Factor n(f).\nAnswer: -2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*10\/25*-10. Find d, given that 6*d**2 - i*d - 5*d**2 + 11*d = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -42 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -333888369270 and -305.\nAnswer: -333888369575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -138*t + 5. Let x be b(-1). Let j = 335 - x. Let p = -132 + j. What is the greatest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = 3*a - 6. Suppose n = a + 68. Suppose 89 = -5*y + l + n, 2*l = 8. What is the remainder when 137 is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 201*z + 6*z - 4074 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + h + 78 = 0, -3*f + 6*h = -345 + 650 - 338 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -40. Let j be (-2)\/8 + m\/(-8). Solve 0 = -2*c - 8, p + 8 = -j*p - 2*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)*(21 + 1). Let f = 25 - t. Let i(u) = -5*u**3 + 3 + 0*u**3 + 3*u**f + 0*u**3. Let j(r) = r**3 - 1. Determine i(n) + 3*j(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1.3. Let x = 0 + -0.3. Let c = x - y. Sort 1\/5, c, -1 in descending order.\nAnswer: 1\/5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.40763165 to one decimal place.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*w**3 - 3*b**3 - b*w**3 - 46*b - 116*w**3 - w wrt w.\nAnswer: -6*b**3*w - 6*b*w - 696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4, 0 = 5*w - 4*l + 240 - 269 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from yvyyyyyayvvzavvzvyy?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.1. Let l = 4 - 4.4. Let w be 12\/2 + -5 - (-9)\/(-7). Which is the smallest value? (a) l (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/120 - 7*z**5\/60 + z**3\/3 + 3*z**2. Let y be f(-7). Put y, -1, 3 in ascending order.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 + 77360*q + 299228480 = 0.\nAnswer: -7736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3) + 4 + 2)*-1 + (sqrt(72)\/sqrt(2))\/sqrt(12) + (sqrt(33) - sqrt(132)\/sqrt(4))\/sqrt(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -17*u**3 - 6*u**2 + 6. Let i(s) = -33*s**3 - 11*s**2 + 11. Calculate 6*i(w) - 11*r(w).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2455.\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325739446.\nAnswer: 2, 162869723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 0)\/2 - (-145 + 97). Let q be h\/6 - (-65)\/78. Solve 9*z - 6*z = -q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -11. Suppose 5*a = 5*u - 5, 4*u + 4*a = -20 - 8. Let b be (-3)\/(1\/(y\/u)). Solve -4*w = -l + 8, 0 = 3*w - b*w + 5*l + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v - 45. Let h = 6442 + -6451. What is m(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 21. Suppose u = 4*u - a. What is the derivative of 5 + 4*j**2 - j - 2*j + u*j wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 11 + 28 - 79 + 40.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1919477557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssjsss. Give prob of picking 2 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130478 and 6?\nAnswer: 391434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a - 29*a - 19*a + 24 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-24)*4)\/(3\/(-4314))?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 - 117 + 118 - 20*w**2 + 69*w**3 + 16*w**2 to the form p*w + c*w**4 + z*w**2 + l*w**3 + t and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m)**(-22))**(-43)*(m**(-1)\/m*m**(-1\/4))\/(m*m\/((m\/m**(-2\/9))\/m)*m**(-5)*m) assuming m is positive.\nAnswer: m**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let j(k) = -537 - 5*k + 537. Give j(s(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -210, -511, -932, -1473, -2134, -2915?\nAnswer: -3816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 + -102. Let l(w) be the first derivative of -1\/2*w**2 + o + 0*w. Let s(j) = j. What is s(l(y))?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, 3, 10230 in decreasing order.\nAnswer: 10230, 3, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 1\/2*t**2 + 0*t + 12 - 2\/3*t**3. What is the second derivative of b(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 41. Calculate the highest common divisor of o and 556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 54484108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 10. Let n be y(-9). Let p = 11 - n. Let r = 75 + -73. Solve -r*m - 11 = -2*d - p*m, 5*m + 20 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10 and (-20)\/730575*-17*25.\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006736 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176 - -10. Let n = -166.12 - m. Suppose 2*l - 6*l + 4 = 0. Is l bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slslssslssslsllsss. What is prob of picking 3 l?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1540 and 18480.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**3\/3 - f - 1. Let s(n) be the first derivative of t(n). Let q(v) = -4*v. What is s(q(p))?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12654 and 17406?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -522266\/55 - -9497. What is the common denominator of 17\/363 and c?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + j + 2*j)*(8 - 4 + 4) as c*j + u and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - -2.7. Let i = -0.27 - 0.03. Let d = 0.2 + -3.2. What is the closest to v in d, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 - 739 = 33*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -4, 3, -1, -0.2, 1\/289?\nAnswer: 1\/289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-301)\/3010)\/(8\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3352 + 2200. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 21 + 109 = 0. Let a(c) = -2*c - 3*c + 7 + 14*c. Let m be a(5). Calculate the highest common divisor of m and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13224 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sts when three letters picked without replacement from {s: 11, t: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1673560.\nAnswer: -1\/334712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 37 = -82 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 = 2*t - 3*h, -203 - 88 = t - 5*h. Let y = t + 796. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 6395895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 14*z + 3 - 31 - 46*z.\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 55.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 38472780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103.5 + -103. Which is the closest to 2? (a) -0.3 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3650651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Suppose 2*t = -5*k + 11, -3*k + k = -5*t + 13. Let o = 5.5 + -0.5. Which is the third biggest value? (a) n (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/(-4 + -15) + (2 - -5). Calculate the highest common factor of d and 990.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -38*l + 364. Sort -2\/3, 1\/3, -0.1, -1, l in ascending order.\nAnswer: -1, -2\/3, -0.1, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(112) - sqrt(112))*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 104541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53759 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 m(n) = n + 1. Let q(x) = x**2 - 10*x + 3. Let f = 14 + -13. Let y(p) = f*q(p) - 3*m(p). Let w be y(13). Solve w = 3*r - r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 9 (c) -0.4 (d) -0.5 (e) -7 (f) -4 (g) -163\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**2 + 4*c - 14. Suppose -4*m = -0*m - 44. Let g(l) = -l**2 + l - 3. Let o(i) = m*g(i) - 2*h(i). Determine o(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 6*n - 3*n)*(33*n**2 - 82*n**2 + n**2 + 1090*n**3 + 24*n**2 - 46*n**2) to the form g + q*n + y*n**2 + f*n**4 + u*n**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0593518544611 and -9?\nAnswer: 9.0593518544611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/5 - 36*g\/5 + 76\/5 = 0.\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/3 - 54*d**4 - 3371*d**3\/3 - 2306*d**2 + 56724*d + 57960 = 0.\nAnswer: -138, -15, -14, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148 + 148 + 24*u - 2*u + 3 - 3 + (0 - 4 + 3)*(u - 3*u + 4*u) + 2*u - u - 2*u - 6*u + 3*u + 2*u - 2*u - 2 + 2)*(-2*u + 0*u + 4*u).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 - 137*x. Let w(y) = -3*y**2 - y - 1. Give j(s) + 2*w(s).\nAnswer: -2*s**2 - 139*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*f**3 + 5*f - 8 - 3*f**3 - 2*f**4 + 10 - 14 as z*f**3 + a*f**4 + h*f**2 + r*f + q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1035)\/(-40))\/69*-32.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*i - 327*i + 1600 = 0. What is the remainder when 491 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.09824 + 0.09824. What is the fourth biggest value in -6, -0.4, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913 + 913 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 414b - 79b5?\nAnswer: -3866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24895 + 35364. Suppose 15*s - r = 556. List the prime factors of s.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127315571 and 831?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = k + 2*k - 1, 0 = -5*k + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 10. Let z(k) be the second derivative of 5*k**3\/3 - 1065*k. What is s(z(d))?\nAnswer: 100*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 5, p: 6, e: 5}. Give prob of picking 3 e.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27425153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3949796 is divided by 2068.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34244 + 23401?\nAnswer: 113200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 1055982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -42812*-0.02\nAnswer: 856.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 4, h: 2, r: 1, k: 5}. What is prob of sequence hrhw?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 900830709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -13\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = 3*c - 63360. Suppose 4*f - 4*m = c, -5*f + 7230 = -4*m + 5*m. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l - 16000. What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*u - 594310, -23*h + 3*u - 2971485 = -28*h. Round h to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -34, -4, -2, -3, -22, 1 in increasing order.\nAnswer: -34, -22, -9, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 6 + 47 + 28*o to the form m*o + j and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 10*y**3 - 9*y**3)*(-6 - 38 - 27) + (-y**2 + 2*y**2 + 0*y**2)*(-2*y + 4 - 4).\nAnswer: 1347*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/213 less than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a = 6. Suppose 5*b = 50 + 10. Let v be (-1)\/(1 - b\/9). Solve -v*n + 2*d = -5*n, 0 = -n + a*d - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/29, -1.5, 7\/16, 1 in decreasing order.\nAnswer: 1, 7\/16, -6\/29, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*d + 19024752 = -262*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5904 divided by -36\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -343055 (base 6) to base 7\nAnswer: -151055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 0.904 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111030120112 (base 4) to base 7\nAnswer: 65136322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 4*q + 14 = -2*y, 5*y + 29 = 4*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1616, -8210, -14804, -21398, -27992, -34586?\nAnswer: -41180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -66356*d - 33702*d - 5 - 67941*d. Let f be (0\/(-6) - -4) + 1. Let p be c(f). Round p to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/7)\/(4\/14). Let w be (-20)\/130 + (-46)\/(-130). Let m be (27\/(-12))\/(-9)*0\/3. Which is the nearest to m? (a) -3 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1474 + 1478. Let w = 0.1 + -1.1. What is the nearest to w in q, -0.01, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101122 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83295, 83298, 83301?\nAnswer: 83304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -777, -1744, -2711?\nAnswer: -3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.049 + -0.049. Let m = -8 - -6. Let s be 31\/(-42) - (-2)\/(9 - -3). Which is the closest to -0.1? (a) s (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 5. Let d(g) be the second derivative of -3*g**3 - 3*g - 743. Determine d(c(r)).\nAnswer: 36*r + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (33 - ((11 - 0) + -5 + 8)) - -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.2, -0.05, -3\/2 in ascending order.\nAnswer: -3\/2, -1, -0.05, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 - 21*x + 1. Is t(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*o - 6*y + y, 0 = 2*o + 4*y. Suppose 6*v = o*v - 44. Suppose 3*q + 13 = v. Solve q + 17 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - p**3 - 3*p - 8*p**3 - 2*p**4 + 11*p**3 as x*p**4 + j*p**2 + z + r*p**3 + s*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 - 8*y**2 + 179*y**3 + 13*y + 1 - 14*y. Let u be v(7). What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u - 4*u)*(4 - u - 4 + (1 - 3 + 1)*(u + 1 - 1) - 5*u - 3*u + 2*u + 0 - u + 0 + 0 + 0 + 2*u) to s*u + m + c*u**2 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-70)\/21)\/((-2)\/3). Suppose 5*x + 370 = n*p, 5*p - 5*x + 141 = 7*p. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2234921.\nAnswer: 223492.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Let j(o) = -9*o**w - 7*o**2 - 1 + 0*o + 6*o**2 - 2*o. Give j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171133, -684521, -1540167, -2738071?\nAnswer: -4278233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001405 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - 0 - 1) + (-2432 - -2426) + -3 + 1\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-6)*(-1449)\/(-126). Sort -7, z, -5, -4.\nAnswer: -7, -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139850 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + f - 27 = 0, -3*c - 4*f - 19 + 7 = 0. Let o = -8 - -12. Let n be 2\/o + 2\/c. What is the third smallest value in 0, 1\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 3*d = -0*u - 42, 18*d - 33*d - 82 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 8*d**6 + 124*d**5\/5 + 19*d**4\/2 - 34*d**3\/3 + 2*d**2 + 13. What is m in q(m) = 0?\nAnswer: -2, -1, 0, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 1143095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17246996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Suppose -145 = -u*v - 0*v. Solve 3*f - 5*t + t + v = 0, 0 = -f - 5*t + 22 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-3 - (0 + 2))) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (17 + 0 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(198)\/(sqrt(9)*-3))\/(sqrt(11) - -1*sqrt(1100)))**2.\nAnswer: 32\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 53, 52, 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770.03 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.4 to 0 dps.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377099739.\nAnswer: 3, 59, 236723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -88?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2 + r - 1. Let s(o) = -194*o**2 - 5*o - 8. Let w(j) = 6*a(j) - 2*s(j). Find the second derivative of w(c) wrt c.\nAnswer: 716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2594*-2.2706.\nAnswer: -5889.9364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101011101 - 1011111000?\nAnswer: -110001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238920630?\nAnswer: 2, 3, 5, 13, 19, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6759.0085794 + -17.1\nAnswer: 6741.9085794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47\/62 + 1\/124. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 - (-1 - 2) - (-24 + 28 + 15).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.22149, -0.4, -5\/547?\nAnswer: 0.22149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29748382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -b - 1, 6*v - 598 = 4*b + 2*v - 1215 + 681 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7088*r**3 - 13*r**2 - 29*r - 56. Let a be c(-8). What is a rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/2))**(-29))**(-2\/147) assuming g is positive.\nAnswer: g**(29\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5539*k + 5516*k + 276 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/12)\/(d\/((((d\/d**(2\/17)*d)\/d)\/d)\/d)))\/((d*d**(1\/7)*d)\/(d**(3\/14)*d)) assuming d is positive.\nAnswer: d**(-4231\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, 3, -0.62, 5?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -m, d + 2*m = -m + 2. Are 5\/168 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c = -51*c + 57 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 20. Let j = -31 - y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/10)*l*l**(-2\/9)*l)**(-11\/5)\/(l\/l**5*l**4*(l*l*l\/(l\/l**6))\/(l**(1\/2)*l*l)) assuming l is positive.\nAnswer: l**(-2266\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3 + (sqrt(539) + 1 + -4 - 1*sqrt(539)*-2)*1)*-6*-5)**2.\nAnswer: 37800*sqrt(11) + 4366800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2813 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**3 + 111*x**3 - 18*x**3 + 14*x**3.\nAnswer: 127*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 107*v + 788. Let g be l(10). Is 219 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092.944 millennia in decades?\nAnswer: 209294.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -13*t - 1. Let y be b(2). Let c be 3*(-1)\/y*277. Let m = -31 + c. Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {e: 1, y: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 8 - 144 = -60*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 5. Let m(o) = -5*o + 6. What is 4*k(i) - 3*m(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(120\/(-5))*18*(-476)\/34.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 - -108.3. Let h = 0.7 + r. What is the nearest to 17 in 0.5, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l*l**(-1\/2))))**(-2\/75)*(l*l**(2\/3))\/(l**(12\/11)\/l) assuming l is positive.\nAnswer: l**(1267\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from dddddddddkdddkkkdddd.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (0 + 2)*-1. Suppose 6 = -3*a - d*b, -3*b = a + 2*b + 10. List the prime factors of 14 + (-1 - a\/5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/40)\/((-2)\/26)*3460\/(-519)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239038 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1529ad + -8?\nAnswer: -1529b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.7, 0.033, 1.28?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17792883.\nAnswer: 3, 1976987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrhhhrvhhurrhurrrhr. What is prob of picking 1 u, 1 v, and 2 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40303370.\nAnswer: 2, 5, 19, 212123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*z - 24*z + 55*z + 125*z in the form j*z + l and give j.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-7 + -9 - -18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52197*o*x**3 + 2982*o*x**2 wrt x.\nAnswer: -313182*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - g - 15 = -24, -3*g + 5 = 4*d. Solve -3*l - 3*h - 9 = 0, -11*h + 15*h + 6 = d*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3 - w + 32 + 5 - 2*w - 9. Let o be (-21)\/(-6)*4\/2. Let t be y(o). Which is smaller: -17 or t?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - 0. Let m = -14 - -9. Which is the biggest value? (a) -4 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -13 - 22) + 13. Let d(y) be the first derivative of -16 + 2\/9*y**3 + 4\/3*y + y**n. Factor d(g).\nAnswer: 2*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/(4\/22)*312\/(-286) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - 9*i + 52. Let r(d) = 3*d**2 - 4*d + 26. Let x(z) = -9*r(z) + 4*v(z). Find the first derivative of x(y) wrt y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 5*j + 3. Let l(r) = -r - 1. Let m(v) = -3*l(v) - s(v). Find the second derivative of m(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2232.\nAnswer: 1\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21088818 is divided by 411?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6888*f - 34437. What is x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 5:11 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1. Let i(v) = 2*v + 84. What is i(c) - 3*z(c)?\nAnswer: 2*c + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.079 - -0.109. What is the third biggest value in k, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 16*z + 8 = 0. Let 4*m - 8*m**2 - 14*m + 15 + 3*m**z = 0. Calculate m.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*d = -g - 104, g + 5*d - 26 = 0. Let i(k) = k + 1. Let y be i(3). Suppose -55 = -u - y*u. Solve -u = -5*o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*o**4 - 144*m**3*o**2 + 2*m**2*o**2 + 319*o**5 wrt o?\nAnswer: 48*m**3*o + 19140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3 - (3 + -2)). Is c smaller than -4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-3*99 + 2). Suppose t - d - 601 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777000 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*i*m**3 - 3636*i*m**2 - 5*i*m + 8598062*m**5 + 9*m**2 + 2*m + 36 wrt m?\nAnswer: 72*i + 515883720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*r = 723 + 6609 + 1425 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.304 + -132.696. Which is the third smallest value? (a) x (b) -3\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2049.8 (b) 1\/5 (c) -56 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(56)*-2 + sqrt(56)) - sqrt(504)\/(sqrt(36)\/sqrt(4)))\/(-4*(-2*sqrt(72) + sqrt(72))\/sqrt(9)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -1141*c**4\/6 + 2981*c**3\/6 - 3450*c. What is the second derivative of x(y) wrt y?\nAnswer: -4564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + -660. Let b = 1151 + o. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -41*n - 10. Let o(k) = -126*k - 31. Determine 8*b(r) - 3*o(r).\nAnswer: 50*r + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/9 + 13\/18. Let v = 1349 + -1347. Factor -p + j + 1\/2*p**v.\nAnswer: (p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22894, 45054, 67214?\nAnswer: 89374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -10 - 14. What are the prime factors of (-80)\/f*(-231)\/28?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -29. What are the prime factors of (p - 1) + (-7 - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 14, 0.105, -4, 4\/7, 1\/10?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -1*sqrt(88)*-6)\/(sqrt(55)\/(sqrt(15)\/sqrt(3)) + sqrt(11)))\/(2*sqrt(4)*1 + (sqrt(144)\/sqrt(3))\/sqrt(12)).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 139*o**3\/3 - 43*o + 63. What is the first derivative of w(l) wrt l?\nAnswer: 278*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7260 divided by -7\nAnswer: 7260\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q**3 - 12*q**2 + 18*q - 2 = 0.\nAnswer: -1, 1\/8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1331541?\nAnswer: -1331536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1422401430310 - -4?\nAnswer: -1422401430301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -97. Solve 0 = 3*j + k - 2*k - 8, -2*k = -2*j + m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246413540.\nAnswer: 2, 5, 12320677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/((-2)\/15). Let o(m) = m**2 - 2. Let y be o(2). Suppose 0*w + y*w - 70 = 0. What is the greatest common divisor of w and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/18 + 113*j**3\/9 + 38*j**2 + 956*j. Suppose o(v) = 0. What is v?\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:11 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 506163825 to the power of 1\/2, to the nearest integer?\nAnswer: 22498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15009, -30335, -45663, -60993, -76325, -91659, -106995?\n\"Answer: -u**2 - 15323*u + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -329\/5 - -66. Let m = -5 + 5.12. Let x = m - 0.12. What is the third biggest value in x, 1, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 22. Suppose -n*d - 1 = -5*c, -c - d - 2 = -4. Is c at most as big as 3\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13871*u**3 - 6*u - 32585.\nAnswer: -41613*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 - 11*k**3 - 4148*k + 4148*k.\nAnswer: -11*k**3 - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8329 or 49\/4?\nAnswer: -8329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1977 by -1334.\nAnswer: 1977\/1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7198 and 212158.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**3 + 9*d**2 - 9*d - 9. Let c(t) = -t**3 - t**2 + t + 1. What is 18*c(o) + 2*r(o)?\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-30) + (-27)\/(-45) - (-141)\/(-72). Let b(w) be the second derivative of 17*w - 1\/12*w**3 + 1\/2*w**2 - s*w**4 + 0. Factor b(y).\nAnswer: -(y - 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, r: 3, m: 4, f: 2}. What is prob of picking 2 m and 1 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -4*z - 96. Let g be (-4)\/z + (-4)\/18. What is the smallest value in g, 4, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/8 + d**4\/2 - 3*d**3\/4 + d**2\/2 - 8*d. Factor m(p).\nAnswer: -(p - 1)**2*(5*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98030675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21114401 (base 5) to base 10.\nAnswer: 176226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 25. What is the third derivative of -4*s**h + 4*s**5 + 2*s**2 - 2*s**6 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -52, -64, -62, -40, 8, 88, 206?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/((m*m**(-1\/3))\/m)))\/m**(-10\/7)*(m*m*m\/(m**2\/m))**(-24\/7) assuming m is positive.\nAnswer: m**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*u + 3*o = -626*u - 14, 6 = 2*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 138669774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14025 divided by 112.\nAnswer: 14025\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53454564 (base 7) to base 5\nAnswer: -2131122213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + c**4 - c**4)*(9 + 0*c - 7 - c).\nAnswer: 2*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 12*u = -2*p + 6, 3*p + 4 = 5*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 320, 343, 366?\n\"Answer: 23*s + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z = -3*l + 2, 0 = 2*l - 5*z - 6. Calculate the common denominator of (-33)\/6 + l\/3 and -26\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6247 + -3347. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.33 * -12\nAnswer: -15.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 783652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(18)\/sqrt(6)))\/(sqrt(9) - (sqrt(225)*-4 + sqrt(225) - sqrt(225))).\nAnswer: sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2\/3*9. Suppose 0 = 3*d - y*d + 104. Let z = -3 + d. Calculate the remainder when 62 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253 - -271. Suppose 52*b = x*b + 570826. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 96, -4 in descending order.\nAnswer: 96, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 5*c**2\/2 - 50*c - 17. Is k(16) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 28 = 4*q, 2*c + 0*c = 4*q + 4. Let w be -2 - (-114)\/22 - c\/(-22). Is (-3*(-215)\/(-45))\/((-1)\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 2*h - 1. Let k(q) = 5*q**4 - 26*q**3 + 18*q**2 + 48*q + 9. Let j(m) = k(m) + 6*s(m). Find the second derivative of j(o) wrt o.\nAnswer: 60*o**2 - 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4889 + -260?\nAnswer: 4629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -13) + 73 + -89.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -281 + 465 + -190 - (0 - (-7 + 0))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23503*q + 26055 = -44454 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883174 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y - 4. Let g(q) = -3*q - 2. Let j(w) = 4*c(w) - 9*g(w). Let f(b) = 60*b + 4. Let x(a) = f(a) - 2*j(a). Let i(p) = 2*p**2. Calculate x(i(h)).\nAnswer: 124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3073\/8 - 384. Let b = -18.7 - -19. Let n = 87\/56 - 3\/56. Sort b, m, n, -2.\nAnswer: -2, m, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -155, -364, -709, -1220, -1927?\n\"Answer: -5*c**3 - 23*c**2 + c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*a + 104*a = 3*y - 4, -8*a - 4*y - 33 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -64197664\nAnswer: 1\/64197664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4200 divided by 1\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 20 = -3. Let w(k) = -k + 2. Let l be w(-2). Suppose 7*r - 132 = 3*r + u, 132 = l*r + 4*u. Calculate the remainder when r is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.725 times 3\nAnswer: -56.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132 - -101 - 132) + 92.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab9 (base 12) to base 15.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1988550 divided by -6.\nAnswer: -331425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 u when four letters picked without replacement from duovducuccudcch?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l**3*p**2 - 2*l**3*p + 28276*l**2*p**2 + 32*l**2*p + 2*l*p + 26*p - 10 wrt p.\nAnswer: -18*l**3 + 56552*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 6. Let y(f) = 1. Suppose a - 2*s = 8 + 2, 25 = 4*a - 3*s. Suppose c = -2*l - 9, 21 = -13*c + 8*c - a*l. What is c*i(g) - 6*y(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1796 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3011052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 20.2. Let r = 1.9 + w. Let i = 99 - 293\/3. Sort i, -5, r in ascending order.\nAnswer: -5, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -11, 4, 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4826 + 516?\nAnswer: 5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58053137 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -48, -46, -42, -36, -28, -18?\n\"Answer: j**2 - 3*j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.944 - -0.944. What is the second smallest value in b, 3, -4\/7, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2087 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 11:55 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1737 divided by -26611?\nAnswer: 1737\/26611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 161.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611107.\nAnswer: 7, 67, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2640)\/4600)\/(-33) - 31288\/460.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 147505, -1651, -0.5.\nAnswer: -1651, -0.5, 1, 147505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + m - 2181, g - 2*g + 529 = -3*m. Let d be 0\/(-1) + g\/96. Which is smaller: 7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -21*x**3\/2 + 3*x**2\/2 - 6*x. Let j be n(1). Let y = -28 - j. Calculate the highest common factor of 160 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*v + 4521 = -82*v - 2679. Calculate the lowest common multiple of 252 and v.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30258214 a multiple of 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10817 (base 10) to base 6.\nAnswer: -122025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318763 (base 9) in base 12?\nAnswer: 2a9719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -387, -2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:00 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c. What is the remainder when 31 is divided by 5 - (9\/(-3) + c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-9))\/(170\/(-255))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26.488 in 0.2, 0.4, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 2*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**3 + 5*u**2 + 23. Let q(p) = 11*p**3 - 10*p**2 - 41. Let c(t) = 5*o(t) + 3*q(t). Let k(z) = 7*z**3 - 11*z**2 - 17. What is -13*c(b) + 6*k(b)?\nAnswer: 3*b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 16. Let c be (-483)\/(-9) + 10\/(-15). Let i = 53 - c. Solve i*k - v = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*x**3 + 493.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-7)*(-2 - -9). Suppose -2*j - 40 = 5*r, 1 = -3*r + 2*j - 7. Let o = -4 - r. What is the greatest common divisor of i and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Suppose 0 = 8*g - 67 - 77. What is the smallest common multiple of g and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 694881*r**3 - 285*r**2 - 3*r + 31 wrt r?\nAnswer: 4169286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -284*z + 1997. Let s be p(7). Solve 3*j - 13 = 4*i + i, 5*i + s = -j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/236, -0.5, 5 in descending order.\nAnswer: 5, -5\/236, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-60)*3*((-6 - -14) + -9).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-215 + 34 - 203)*(1 - x - 1).\nAnswer: 384*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 13*b - 8. Calculate the least common multiple of g(11) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9694, 20193, 30702, 41227, 51774, 62349, 72958?\n\"Answer: x**3 - x**2 + 10495*x - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.27 + -1.87. Let f = -1.3 - o. Round f to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**6\/10 - 9*m**5\/5 + 9*m**4\/2 + 38*m**3 + 135*m**2\/2 + 2834*m. Factor g(u).\nAnswer: 3*(u - 9)*(u - 5)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 21*y - 11. What is the units digit of a(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 276. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {a: 1, b: 1, r: 1, i: 2, g: 2, e: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/(f\/((f\/f**(2\/19))\/f*f)))\/f)*f\/(f\/(f*f**(2\/11)))*f*f*((f*f\/(f*(f**(-1\/4)\/f)\/f*f))\/f)**28 assuming f is positive.\nAnswer: f**(8211\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*k + 0)*(-3*k - 2 + 2) + (4*k**2 + 4*k**2 - 2*k**2)*(1 + 0 + 139) - k**2 + k - k to the form t*k + v*k**2 + w and give v.\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j + 3*c + 6 = 0, 3*c + 12 = j. Suppose 0 = -h + j*h - 8. Factor -5*m**2 - 2*m**5 - m + 3*m**5 + 2*m**h + 3*m**2.\nAnswer: m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540468 (base 12) to base 13.\nAnswer: -376475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/10 + 9*g**4\/4 - 17*g**3\/6 - 9*g**2 - 18*g + 3. Let d be k(-14). Solve -3*o = 5*p - 7*o + 27, 4*o - d = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*d. Suppose d = -2*w + j - 10, -2*w = 2*w - j + 22. Let u be (-2)\/w*6\/(-4). Which is the closest to u? (a) 5 (b) 1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**7\/2520 + p**4\/4 + p. Let j(h) be the third derivative of g(h). Let v(r) = -r + 3*r + r. What is v(j(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*d + 104, 3 - 71 = d + 2*w. Let k = 63 + d. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358136 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:17 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(76) + (sqrt(76) - 2*sqrt(76)))*5 - -1*sqrt(76)*-3)\/(sqrt(2156)\/sqrt(11) - (sqrt(4) + sqrt(32)\/sqrt(128) - sqrt(4))).\nAnswer: -4*sqrt(19)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 9. Let a(j) = 2*j + 9. Let v(o) = -2*a(o) - 3*i(o). Let s = 10 - 2. Let b be 34\/s + (-2)\/8. Determine v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3670\/861 + -124\/41. Let j = -46\/105 + p. Let z = 4.89 - -0.11. Which is the nearest to -4? (a) z (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719077 divided by 1\nAnswer: -719077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 2*l**2)*(6*l**3 + 2*l - 6*l**3 + l**3).\nAnswer: -2*l**5 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 1220224*o\/9 - 186118326272\/9.\nAnswer: -2*(o + 305056)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + i + 0*i = -2, -4*x + 12 = -3*i. Suppose 12*t + x = 15*t. Let d be (9\/21)\/(t\/(-7)). Which is the third biggest value? (a) d (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-333)\/(-54) - 1\/1 and -61\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 15*t = -168. Suppose 6*q - t = -64. Let j(g) = -g**3 - 7*g**2 - 5*g + 4. Give j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(5\/7)*b*b*b**(-5\/3)*(b\/b**4)**(-21) assuming b is positive.\nAnswer: b**(1336\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - 3*k**2 + 4*k**2 + (-3*k - 2*k + 4*k)*(2*k - 2*k - 2*k) + 4*k**2 - 3*k**2 + 0*k**2 + (19 + 29 + 0*k - k)*(1 - 2*k - 1).\nAnswer: 6*k**2 - 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15\/7)\/p)\/(p*p**(-37)) assuming p is positive.\nAnswer: p**(230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 - -84. What is the tens digit of ((-6)\/4)\/(6\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*n + 3*n. Which is the second biggest value? (a) n (b) 4 (c) -2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 5*u + 3. Let t be m(3). Let n = t + 11. What is the smallest common multiple of 20 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -0.4 (b) 0.2 (c) 2\/5 (d) 3\/4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 20*l**2 - 2*l + 1. Let k be d(1). Suppose 0 = -16*v + k*v - 6. Solve y + 1 = -v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 646880 by 2488.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*z + 9, -5*g + 2*z + 11 = -2*z. Let j be g\/2*(-92)\/(-6). What is the greatest common divisor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2 - 5\/2*k**2 - 4\/3*k**3 - k. Factor o(q).\nAnswer: -(q + 1)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1857 + 1957. Calculate the highest common factor of y and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*r**2*s**2 - 36*r**2 + 9542*s**2 - s - 2 wrt r?\nAnswer: 22*r*s**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o*o**0*o*o**(3\/4)*o**(2\/9))\/(o**3*o\/((o\/(o\/o**1))\/o)*(o\/o**(-1\/9))\/(o**4*o)) assuming o is positive.\nAnswer: o**(793\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 3974.59?\nAnswer: 3974.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmc. Give prob of sequence mmc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -661 - -536.41. Let o = q - -124. Do o and -2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 529, 945, 1475, 2125?\nAnswer: 2901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(190)*5)\/(sqrt(250) + -2*sqrt(250) - sqrt(250)) + 2.\nAnswer: -3*sqrt(19)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-3)\/(-6)*-2. Suppose -3*l = c*v - 30 + 10, -3*v = -4*l - 64. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170794 is divided by 56928.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 50*f**3 - 8 + 10.\nAnswer: 55*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -19. Let n be (0 - v - -207) + -1. Calculate the highest common divisor of n and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 2 n when four letters picked without replacement from {n: 5, e: 6, j: 1, o: 2, k: 2, w: 1}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g*g*g*(g*(g**4*g)\/g)\/g*g)**(-27\/4) assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, q: 2, b: 1}. Give prob of sequence ibqa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5 + 6 - 10. Let y(g) = -2*g**3 + 2*g - 3. Give -5*k(w) - y(w).\nAnswer: 2*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/3 - 7*j**2\/2 - 18*j + 1246. Let x = -3 + 9. Give o(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 27*q + 3434. Calculate the remainder when c(44) is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s = -3*x + 35*s + 2, 6*s = -24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294 - -83367350.\nAnswer: 83367644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 9*m**2 - 12*m - 9. What are the prime factors of q(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/12727 + 114988381\/101816. Let k = -1140 + o. Let x = -72 + 112. Calculate the common denominator of x and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/7)\/(290\/203) + (-204)\/(-120). Factor 6\/5*y**g + 0 + 0*y - 2\/5*y**3.\nAnswer: -2*y**2*(y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/15 and (1 - -6) + 12839\/(-1480).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 + 1.2. Let h = b - 4. Let t = -0.24 - 0.16. Sort h, t, -0.1 in decreasing order.\nAnswer: -0.1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15945*q + 1 - 1 + 101947*q.\nAnswer: 86002*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -796 - -799. Solve -i*n - 10 = r, 2*n + 2*r = 7*r + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3\/30)\/(15\/690)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 49*n + 223242*n**2 + 223234*n**2 + 49*n - 446455*n**2.\nAnswer: -5*n**3 + 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -2\/5, 0.59, -139?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1950058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/168 and 47\/2.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntffntttntnn. What is prob of picking 2 n and 1 t?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 45, -4*b + 118*x = 119*x + 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17190748 is divided by 5653?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 671\/99 - (-4 - (-35)\/45). Solve -11 = i*v + 4*j + j, j = -v - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -539316 - 19?\nAnswer: -539334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10832149.9370327 - -10831579.937. Let i = g + 570. Round i to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 40480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -45*b + 221. Let h = 893 + -917. What is the thousands digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 618.\nAnswer: -5\/618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 14*x - 455 = 0. What is the tens digit of x\/35*-193*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 10 + 0 = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:42 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*r - 108 = 0, -116 = -5*y + 4*r + 37. Let z = -53 + y. Let g be 2\/6 + 8\/z. Solve g*v = -v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209526 - 451*q + 1381*q - 209526 - 466*q - 452*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**6\/240 - b**5\/80 + b**4\/96 + b**3\/24 + 34*b. Factor x(f).\nAnswer: -f*(f - 1)*(f + 1)*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 14054, 10 in descending order.\nAnswer: 14054, 10, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 - 36\/5*a**2 + 0 - 12\/5*a = 0. Calculate a.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193700.\nAnswer: 2, 5, 109, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1426, -1, 59, 6 in ascending order.\nAnswer: -1, 6, 59, 1426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Suppose -n*v = -6*v - 8. What is the common denominator of -17\/16 and 0 + 67*v\/(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -7*l**5\/5 - 44*l**4\/3 - 50*l**3 - 36*l**2 + 12*l. Solve n(z) = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 432*x**2. Let l(s) = -50*s + 2. Determine l(h(q)).\nAnswer: -21600*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13769583097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/160)\/((-4)\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 7. Let t = -0.091 + 0.191. What is the third smallest value in s, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 118*r + 294*r + 324*r + 2*r**2 + 202*r.\nAnswer: r**2 + 702*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + 4. Let p be s(3). Suppose -8 = -4*i + 2*i - r, 0 = 4*i + 5*r - p. Is i at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*l = -247, 4*z + 4*l + 4442 = 4230 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Let f be (9\/(-15))\/(1\/(-5)). Suppose -5*k = 3*w - 18, 3*k - 7 = 5*w - f. Are h and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.7. Let x = 0.1 + -0.6. What is the third smallest value in g, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + -1 - 35\/5)\/(-2). Solve 4*n + f = -1, p*n - 4*f - 23 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 29*w - 156 = 0. Suppose 5*c - 46 = -2*b, -3*c + 9 = 4*b - 55. Calculate the highest common divisor of b and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 177*c**2 + 982*c + 13110. Calculate k(-182).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 55, 95, 135, 175?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*z**4 - 5*z**3 + 29*z**2 + 207917 wrt z.\nAnswer: 432*z**3 - 15*z**2 + 58*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Let f(y) be the third derivative of 7*y**4\/12 - 25*y**2. What is f(c(z))?\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22643861641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 170*d**2 + 5*d - 40. Let v be q(12). What is v rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 3d150?\nAnswer: 3d159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - z + 2)*(-z**2 - 2*z**2 + 5*z**2).\nAnswer: -2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/642893 and 2\/74755.\nAnswer: 3214465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*r - 50 = 5*c, 4*c - 2*r + 60 = 0. Let a = 102 + c. Let q = -60 - -90. Calculate the remainder when a is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 332, 733, 1294, 2015, 2896?\nAnswer: 3937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -30 (b) -0.5 (c) -0.3 (d) -2\/3 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*g - 3, -q + g - 3 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370230336.\nAnswer: 2, 3, 7, 91823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 678663833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17563 is divided by 112?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -57 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*2*30\/(-4). Suppose 0 = 2*g - 7*g + l. Let m be (-2)\/5 + g\/20. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*m*u**2 + 1155*m*u + 13*m + 2*u**5 + 20*u**4 wrt u?\nAnswer: -192*m + 40*u**3 + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1131*y**2 - 1127*y**2 - 1112*y**2 - 1134*y**2 + 4506*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.90941 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13984164 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 91, 1, -5, -1, 6, -2 in increasing order.\nAnswer: -5, -2, -1, 0, 1, 6, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4 + 7 - 3*b + 12 - 1. Let k be c(-12). Calculate the highest common divisor of k and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1726 - -1728. Solve u*n - 2 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 4 + 15\/(2 - 7). Solve c + 3*l - 7 = 0, -2*l = -h*c - 5 + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.223 + 0.203. Is h less than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**3 + 7*y**2 + 147. Let i(b) = 7*b**3 - 6*b**2 - 145. Give -6*g(h) - 7*i(h).\nAnswer: -h**3 + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(96)\/(sqrt(2) + sqrt(8)\/sqrt(4) + sqrt(2)) + sqrt(240)\/(sqrt(5)*-1) + 2*(0 + -1*sqrt(3) + 0 + sqrt(3) + sqrt(3) + 4 + -2))**2.\nAnswer: -20*sqrt(3)\/3 + 79\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 + 6. Let b(r) be the first derivative of -2 + 4*r**3 - 2 - 3*r**3 + 7. Calculate b(f(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 47. Let b = -23.99999942 + s. What is b rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t**(2\/3)\/t)\/t)\/t)**(-1\/4))**(5\/4))**7 assuming t is positive.\nAnswer: t**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 297, -32, 1278 in descending order.\nAnswer: 1278, 297, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m. Let c be (2\/10)\/((-1)\/(-10)). Let f = 83 + -39. Let s(r) = 44*r - c*r**2 - f*r. What is s(k(q))?\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -748948, -1497888, -2246828?\nAnswer: -2995768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439 is divided by 391.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -102, -210, -342, -498?\n\"Answer: -12*y**2 - 72*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*v + 4 = 5*v, 4*w = 4*v - 32 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2822 and 68.\nAnswer: 5644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -340 + 346. Let h be (-16)\/(-6) + (-16)\/24. Solve -h - p = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.2. Let u = 0.49023 - 0.09023. Which is the smallest value? (a) u (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let x = -0.76 + 0.7. Let n = x + 2.06. Sort l, n, 3 in descending order.\nAnswer: l, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24 + 0*w**2 + 2*w**2 + w**2 + 0 with respect to w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8948 - 12097?\nAnswer: -424a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:35 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, b: 3, p: 1, m: 2, k: 3}. What is prob of picking 1 z, 1 q, and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.1 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -4, -3, 5, -2, -221, 144 in decreasing order.\nAnswer: 144, 23, 5, -2, -3, -4, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 6*p**2 - 13*p + 34. Is s(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14828590 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*o + 16. Suppose -4*f + 7*f = -5*m + 45, 0 = o*f - 15. Suppose -5 = -c + m. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9094 + 0)\/((-2)\/(-7)*812\/3364) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = -18*q + 41*q. Calculate the greatest common divisor of 860 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 3271?\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 292827227 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -293568388*u**5 - 7*u - 2291524?\nAnswer: -5871367760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 59. Suppose -q - 3 = -0*q + 4*z, k*q + 3*z = 19. Solve -q*u + 12 = -13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5900*j**2 - 11653*j - 291. Give w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 5*r**2 + 1. Let i be g(-5). Suppose -44 = -q - 5*b, 3*b = 2*b - i. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/5 - 4*o**3\/3 - 14*o**2\/3 + 12*o + 48\/5 = 0 for o.\nAnswer: -3, -2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 11:22 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 13*o + 2. Calculate the remainder when 26 is divided by r(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 718 and 10411.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42206*m**2 + 139*m - 120 wrt m?\nAnswer: -84412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.00000085 + -21. What is c rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 - 8*r**2 + 2*r**2)*(7*r**3 + 5*r**3 + 17*r**3).\nAnswer: -232*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271*m**3 + 82*m**2 wrt m?\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -31741*p**3 - 22*p - 22. Let v(k) = 768132*k**3 + 532*k + 532. Give -266*m(h) - 11*v(h).\nAnswer: -6346*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -173, -175?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100168 by 19.\nAnswer: -5272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 4721050515956.\nAnswer: -4721050515955.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(56) + sqrt(56))*-6)\/sqrt(8) + -4 + ((-2 + sqrt(343) - sqrt(343))**2 + sqrt(343) - sqrt(343)) + -5)*-5.\nAnswer: 25 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478930.2cm to meters.\nAnswer: 4789.302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-868)\/217*(-5)\/(-2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(17 + -16 + (-24)\/28).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1081149 by -3.\nAnswer: 360383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 568 - 255. Suppose 4*n - 1665 = -l. Suppose 3*z - 148 = n. What is the greatest common factor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (23\/(-4))\/((-17)\/4 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 148*s - 6. Let o be m(-27). Let l be (2 - (-20)\/(-11)) + o\/(-253). Put 0, 2, l, -5 in decreasing order.\nAnswer: l, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 108*w = 111*w - 1206, 612 = q - 3*w. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028582651 a multiple of 7077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 19. Calculate the remainder when 65 is divided by (-132)\/z*9\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 5, p: 8, w: 4}. Give prob of sequence pw.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 52 = -4*n, 0 = -8*n + 3*n + 5*c + 95. Suppose 2*t + n = 24. Calculate the highest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-8)\/(-60)*5*(-30)\/(-125).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + 2 + -1 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 12*j - 1. Let u be k(-10). Suppose 0 = -8*f + 1 + 63. Let d = f + u. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 - 107 - (-19 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80128139, 80128143, 80128149, 80128157, 80128167, 80128179, 80128193?\nAnswer: 80128209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (43 + -14 + -14 + -12) - -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 24. Is 20 a factor of o(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + (sqrt(425) - sqrt(17)))**2 + sqrt(17) - (5 + 1*sqrt(1700) + sqrt(1700) + sqrt(1700)).\nAnswer: -37*sqrt(17) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1234316*f**4*l**3 - 4*l**3 + 359*l**2 - 2*l + 8 wrt f.\nAnswer: -4937264*f**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -310821?\nAnswer: 3108210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 17 + 9 + 3 in the form m + d*b and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 392565?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0716 - 0.071600142. Round i to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 8*a**3 + 2 - 24*a - 5*a**3 as l*a**3 + o + r*a**2 + b*a and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 27. Let p = 0.5 + -0.2. What is the closest to -2 in g, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*i - 0*i - 8, -i = 0. Suppose x*c = -0*c + 124. Suppose l = s + 15, 0 = -l + 5*l - 2*s - c. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*q**3 - 14*q**2 + 14*q**2 + 592*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 + -113. Let x(l) = l**3 + 6*l - 2*l**2 + 2*l - 2*l**2 - 3*l - 6. Let d be x(5). Calculate the highest common factor of d and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(6 - 2 - 2)*(l - 3*l - 3*l) + l + 2*l - l - 4*l + 3*l + 3*l + (-l + l - l)*(-3 + 1 + 0) + (4*l + 0*l - 2*l)*(6 + 3 - 1).\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1692093, 1692256, 1692419, 1692582?\nAnswer: 1692745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*i = -59*i - 352. Let y = i + -16. Solve -y*p + 8 = -10*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.3446 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27556*n**5 - 11133952*n**4 - 10678764*n**3 + 22854392*n**2 - 1082192*n + 12960 = 0 for n.\nAnswer: -2, 2\/83, 1, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003021814 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 5)\/((-1)\/(-7)). Suppose m - o = f, -m - 21 = 4*o - 3. Suppose -z + 2*l + 2*l = 11, 4*z - 46 = -m*l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-216)*3)\/(6*(-27)\/243)\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-3)*6\/(-4). Suppose 2*d + 12 = -2*d, -m*u + 5*d + 75 = 0. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:50 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6424 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 1. Let v(y) be the first derivative of y - 5. Give l(j) - v(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j + 1. Let d be k(1). Let x(l) = 21*l - 1. Let m be x(d). Let h = -10 - m. What is the remainder when 45 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/60 + 5*s**4\/24 + s**3 + 3*s**2. Let w be g(-5). Suppose w*c = c + 55. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = v - 11, -4*v - 10 = b - 24. What is the lowest common multiple of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(192) - (-1 + sqrt(192)))**2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 8, f: 3, c: 4, d: 1}. Give prob of sequence bcn.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83111\/453660 - 1\/7561. Calculate the common denominator of 11\/2056 and f.\nAnswer: 30840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 4*j. Let c be m(-4). Let g(o) = o**2 + 16. Determine g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 6206*b + 4200*b as s*b + o and give s.\nAnswer: -2006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -20*m**5 - 17*m**2 - 51*m + 17. Let a(q) = 7*q**5 + 6*q**2 + 17*q - 6. Let r(g) = 17*a(g) + 6*n(g). Find the second derivative of r(v) wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75 - -3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24554342 divided by 562\nAnswer: -43691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 2549, 8529, 20161, 39329, 67917, 107809, 160889?\nAnswer: 229041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56204, -56205, -56206, -56207, -56208?\n\"Answer: -z - 56203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 5}. Give prob of sequence vv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91914279.\nAnswer: 3, 23, 57917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26912 divided by 16?\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -7596?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341604*y - 2592742*y - 3*y**2 - 5060357*y.\nAnswer: -3*y**2 - 8994703*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000123776 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5711 - 10?\nAnswer: 5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822 = -11*c + 366. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -179, -269, -361, -455, -551, -649?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkrkkkkkkrkkkkkkkk. Give prob of picking 2 r and 1 k.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 317 by 294.\nAnswer: 317\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 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: Let m(x) = -8*x**2 + 2*x - 921. Let w(q) = 27*q**2 - 7*q + 2761. Give 7*m(i) + 2*w(i).\nAnswer: -2*i**2 - 925","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, 73, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24322210 (base 5) to base 15\nAnswer: -480c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 1\/30*b**5 + 3*b**2 - 1\/6*b**4 - 1\/2*b**3 + 0*b + 0. Calculate i(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 68*g**2. Let l(w) = -6*w + 963078. Give l(n(i)).\nAnswer: -408*i**2 + 963078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 232*h**2 + 1409*h - 54. Calculate j(-4).\nAnswer: -1978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 939936508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8064.654 decades?\nAnswer: 80646.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 - 2*m**2 + 7. Let x(w) = -w**3 - 1. Let y(k) = s(k) + 4*x(k). Let h be y(2). Suppose 5*p + h*t = 1945, p + 5*t - 1167 = -2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-174)\/(-435) - (-12)\/(-5). Which is smaller: v or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 1588925*x - 15888750.\nAnswer: -5*(x - 317775)*(x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzzjzzjtijtz. What is prob of picking 1 j and 1 t?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4395 - 1.48. Let h = 0.015 + t. Round h to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -25681179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130147.\nAnswer: 130147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111333 + 123241?\nAnswer: 11403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i - 15. Let x be i\/(-3) + (-16)\/(-48). Solve -x*p - 5 = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/144500 and 21\/8.\nAnswer: 289000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 3560*d**2 - d + 1781*d**2 + 1782*d**2 - 4*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (1*sqrt(36))\/sqrt(2) - (2*sqrt(90))\/sqrt(5))\/(-4*sqrt(9)*2*1*-2).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 4*a**2 - a**2)*(-a - 3*a - a)*(4*a**2 - 5*a**2 + 3*a**2).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*a = -5*a - 16, -2*a = -2*d + 38. Suppose -z - 3 + d = -2*j, z - 7 = -2*j. Solve z = -4*v - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.351181438 rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 643839.5?\nAnswer: 643846.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - 13\/(-2). Let v be 378\/84*((-7)\/9 - -1)\/((-83)\/(-3984)). What is the greatest common factor of v and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 65 - 11 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1583 times 0.13?\nAnswer: 0.020579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -55.5 (b) -3\/2 (c) -2\/9 (d) 1\/451 (e) 7 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 561488*h*k**2*v + 3*h*k**2 - 2*h*v + h - 2*k**2 + 4295*k + 14*v - 5 wrt k?\nAnswer: 1122976*h*v + 6*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207208.\nAnswer: 2, 3, 91967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Solve -2*t - 4 + 0 = w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -398, -500, -586, -656?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2\/3 - 394220*i\/3 + 38852352100\/3 = 0.\nAnswer: 197110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3206, -3214, -3228, -3248, -3274, -3306, -3344?\nAnswer: -3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:53 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:34 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 6*h**2 - 7*h + 7. Let s be t(5). Let n = 1486\/3 - 484. Let x = n + -11. Put -0.2, s, x in decreasing order.\nAnswer: x, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/4 + 4026*v + 16103\/4 = 0.\nAnswer: -16103, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 2*z)*(11 + 2 - 5)*(-3 - z + 3).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 21*f**2 + 35*f + 11. What is the hundreds digit of i(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/12 + (-8 - -2)\/1. Suppose -4*b - b - 4029 = -2*s, -v*s + 8067 = -b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(104\/178) + 2\/(-13). Let o = 159 + a. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8736*h**3 + 2535*h**2 + 155947*h - 42.\nAnswer: -52416*h + 5070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 676. Calculate the lowest common multiple of z(11) and 15.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8)*-3 + sqrt(8)) - -5*(sqrt(80) - sqrt(5)))*-4.\nAnswer: -58*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -129, 0.13, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -20 - -1) + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1873082 and 6944.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 6, y: 3, f: 4, e: 2}. Give prob of sequence zyez.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3275674 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 180801.9l?\nAnswer: 180801900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 234983181 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86311 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-8)*f)\/f)\/(f\/f**(-2\/9)))\/(f**(-2)*f**(-6))*((f\/(f**5\/f))\/f*f)\/f**(-6)*(f**(-1))**(-24\/5) assuming f is positive.\nAnswer: f**(1061\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - h**2 + 8*h - 268. Let n be b(0). Let q = -263 - n. Suppose -3*o + 15 = 3. Solve -q*z + z = -o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1315 + -1269. Calculate the least common multiple of 4 and i.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 9*u**2 + u - 19. Suppose 13*g = 9*g + 360. Suppose 37*z = 47*z - g. Calculate y(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905394 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 4, a: 2}. What is prob of picking 1 z and 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-21) + 277\/7. Let d = c + 0. Let x be (-59)\/(-8) + (-15)\/d. Solve -x*l + 3*l = -4*h + 8, l + 5*h + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112b1949c - 0?\nAnswer: 112b1949c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -198 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*k + 29, 5*k - 87912 + 88008 = 88*p + 6*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4 - 2 - (-6 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 104\/56 - (-1)\/7. Suppose 2512 = l*i + 4*r, -3*r = 3*i - 0*r - 3783. Is (i\/18)\/((-2)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let w = -91\/2 + 45. Is n >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + 6b22?\nAnswer: 6ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 + 2*p**3 - 4*p**3 + (-2 + 2 + p)*(61*p - 61*p + 11*p**2) to d*p + g*p**2 + a*p**3 + j and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 + (-59 + 31 - -46) - (41 - 0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -40, -3\/4, 2\/1105, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -288097 divided by 1\nAnswer: -288097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(80\/(-8)) - -7. Let c be (l + -5 + -4)*(-35)\/56. Solve 0 = 6*n - c + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 638.2776t?\nAnswer: 638277600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16349 - -8436181\/516. Find the common denominator of n and -16\/15.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**1)*i\/(i**(6\/11)\/i)*(i**2)**(2\/49)*((i\/((i**2*i)\/i))\/i*i**(-2))\/(((i*i**(-2\/19)*i*i*i)\/i)\/((i**(-9)*i)\/i)) assuming i is positive.\nAnswer: i**(-136805\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 68*r**2 + 28*r - 23. What is the units digit of p(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.4 (c) 1.7 (d) -2 (e) 1\/7 (f) -592\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 2560000 = 12*m. Round m to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**2 - 37*q + 137. Let w be g(12). What is w rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 46*p. Let x(z) = -91604*z**2. Determine x(d(l)).\nAnswer: -193834064*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 7 - 7)*(3*z + 1 - 1 + (4 - 2*z - 4)*(0 + 4 - 2) + 2 - 4 + 3*z - 5*z).\nAnswer: 36*z + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 26274?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1231 - -9871\/8. Find the common denominator of g and -14\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 941.\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4166590 minus -0.30383?\nAnswer: -4166589.69617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 11:27 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 20*n**2 - 37*n + 2*n**2 + n**2 - 24*n**2 + 83. Calculate w(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.6 (b) -9 (c) 5 (d) 0.03 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -897.0086 - -895. Let n = -1 - -3. Let s = d + n. What is s rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 256\/(-8)*2\/(-4). Suppose 13*w - l*w = -213. What are the prime factors of w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**13)\/((w*w*w**(-26))\/w))\/(w**(-4\/7)*w**(-4\/9)) assuming w is positive.\nAnswer: w**(2521\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -633, 1.44?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:40 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2940)\/(-25)*15\/6. What is the highest common factor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 5. Let i(d) = 5*d + 9. What is -4*i(r) + 7*m(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 138*a + 18364. Determine m(-134).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoz. Give prob of sequence oz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.9 + 71.1. Let s = n - 89.18. Let j = s - 0.32. Round j to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1121?\nAnswer: 1\/1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -5*x. Let p = 91466 - 8049355\/88. Let k = p - -33\/8. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j + 6*j - 52. Suppose -2*t + 4*f - 2 = 0, -j*t + t = -f - 12. Solve 0 = v - 2*v - t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/4*24\/(-84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + 3 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*f**3 - 811*f - 57840?\nAnswer: -21*f**2 - 811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1 - (7 + -17 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 1. Let f be b(-1). Suppose -2*n - 2 = -f. Let h be 12\/n - 0 - 3. Which is bigger: h or 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)*3\/2. Let z be r\/(-2 + (2 - 1)). Let x(t) be the second derivative of t**5\/20 + t**4\/6 - 2*t**3\/3 - 3*t**2\/2 + 278*t. Determine x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 0*u**3 - u**3)*(-5*u + 23 - 23).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 1478*y**6\/3 + y**2 - 166*y - 3753. What is the second derivative of a(m) wrt m?\nAnswer: 59120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*x + 612*x + 4550 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -557?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10502?\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**4\/4 + 6*a**3 + 9*a**2 + 9*a - 78. Determine n(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 0, i - 27 = -5*c. Suppose w - i - 37 = 0. Suppose 5*v - h - 39 = 0, h = 4*v - 3*h - 28. Calculate the greatest common factor of w and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662 bigger than 3662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, and 1 y when three letters picked without replacement from ytvyh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 158.71\nAnswer: -952.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 35\/14. Suppose 3*h - 15 + d = 0. Suppose 0 = 3*l - 2*l - h. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -2*l - 3*x, -3*l = -x + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*d + 3342 = 0, 588 - 6190 = -5*l - 3*d. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let t(q) = -28*q**2 - q - 1. Let n(o) = 4*r(o) - t(o). Let z be n(4). Let c = -242 + z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 - -141. Suppose 4*q = -2 - t, 0 = 4*g - 4*q - 108. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 + 292 = -26*m + 517 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -5815 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/13))\/v)**(-31)*v\/v**12*v**(-2\/7) assuming v is positive.\nAnswer: v**(-1461\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11626575 is divided by 2538?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 744384691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -68894 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4812 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33038 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -19*r**4\/6 + 2*r**2 + 317*r + 7. Let s(z) = 72*z + 2. Determine g(s(q)).\nAnswer: -5472*q - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 9*q - 9. Let k be y(-7). Let i = k - -25. Let d = 27 + i. Solve 0*t + 4*t = d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5752*u + 28767. Calculate q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 - 5*c + 5. Let r(v) = -v**2 - v + 1. Let y(h) = -i(h) + 5*r(h). Let s(f) = -11*f**2. Give y(s(z)).\nAnswer: 242*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 4. Let d = l - 8. Let j(n) be the first derivative of -n**3\/3 - n**2 + 3*n + 1. Give j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - a + 44 + 10 = 0, 0 = 2*g + 4*a - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-42) + (-46)\/(-14). Suppose 0 = 2*j - 4*b + 12, j = -r*j - 4*b + 12. Solve -3*d - 2 = -p - 10, -4*p + 16 = j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 1}. Give prob of sequence yyl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011201002 (base 3) to base 12.\nAnswer: 3b66b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 3. Let h(r) = 2. Let q(u) = 4*g(u) - 6*h(u). Let t(l) = l**2. Give t(q(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4101 (base 6) in base 2?\nAnswer: -1110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + ((-20)\/(-6))\/(-10 - (-890)\/90)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 10*f = 0. Suppose -j - 2*l = -5 - 7, 0 = 2*j - 3*l + 4. Solve f = -4*u + h - 16, j*h = -5*u + 6*h - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.6263 rounded to 1 decimal place?\nAnswer: -88.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54921*a**2 - 4*a + 136024*a**2 + 4*a.\nAnswer: 190945*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009224097 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6400915117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 504*h**2 - 30*h - 174. Let u be x(19). What is u rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*p - 221*p + 120 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -6. Solve -40 = -2*f + t*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19994300\/21 or -952111?\nAnswer: -19994300\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 175. Let u(x) = -x - 5. Calculate s(d) - 5*u(d).\nAnswer: 2*d - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0*f + 3*f - f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let p be f\/(-3) + 117\/(-27). Which is the smallest value? (a) 5 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s + 12. Let k(w) = -8*w**2 + 6*w + 1. Let c(r) = -15*r**2 + 11*r + 2. Let i = -13 + 24. What is i*k(z) + s*c(z)?\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12074784\/13 != -928829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 11441\/8153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + l + 3. Let s = 5022 - 5019. Determine u(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2847 + -2846.999633. What is z rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07918548 - 0.13081376. Let x = 0.21 + z. What is x rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89474 and 705583.\nAnswer: 760618474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 152*m - 288.\nAnswer: -4*(m + 2)*(m + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:23 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*g - 4*g. Let n(s) = -11*s + 5*s - g*s. Let d(c) be the first derivative of -c**2 + 74. What is n(d(a))?\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g*g)\/g)\/(g*g*(g\/g**(-1\/9))\/g*g)*(g\/g**(-3))\/(g*g**5)*((g**(-4)\/g)\/g**(-2\/5))**(13\/2) assuming g is positive.\nAnswer: g**(-3511\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3328, -7415, -12274, -17911, -24332, -31543?\n\"Answer: -o**3 - 380*o**2 - 2940*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/84840 and 113\/630.\nAnswer: 254520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**2 - 31*d + 1. What is c(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*o**3 + 13025*o - 13141*o - 2 + 2 wrt o.\nAnswer: 1278*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80.955 - 0.045. Let b = 166.5 + p. Let n = -86 + b. What is the third smallest value in -7, 4, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let i be a(-4). Let w = -1 + i. Sort 0, w, 3 in decreasing order.\nAnswer: 3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/480 - g**4\/96 - 3*g**2. Determine r so that s(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(-9\/7))**(24\/5)\/(z**(-2\/9)\/z*z**(-1\/15)\/z)**3 assuming z is positive.\nAnswer: z**(2017\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 + 445. Let u = 259 - -1519. Suppose -u - s = 13*w. 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: Is 7420 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4519, 5, -5, 89.\nAnswer: -5, 5, 89, 4519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g - 13*g + 27*g)*(-4*g + 4*g + 2*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2541987 to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27923, 55948, 83973, 111998, 140023?\nAnswer: 168048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202111 - -211?\nAnswer: 210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from arorxarotao?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*m - 6*m, -5*t + 3*m = -2134. Which is bigger: t or 424?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + c**2 - 3*c + 5. Let q(v) = -2*v**3 + v**2 - 3*v + 6. Determine 5*q(z) - 6*s(z).\nAnswer: 2*z**3 - z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273753 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/60 + 7*j**4\/24 + j**3\/2 - 24*j**2. What is d(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m**3 - 2*m)*(1 + 2*m - 1) + 5339*m**3 - 842*m**4 + 3637*m**4 - 5339*m**3 + 2004*m**4.\nAnswer: 4797*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 374*c + 9925. Let v be h(-155). Factor 0*s - 2\/3*s**v - 6*s**3 - 4*s**4 + 0*s**2 + 0.\nAnswer: -2*s**3*(s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o - 47. Let x(i) = -3*i - 24. Give 9*x(m) - 4*y(m).\nAnswer: m - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 411121 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -333.\nAnswer: 36.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-11 - (3 - (15 - (-14 - -6 - -15))))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*u - 511 = 1413 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18293515 is divided by 185.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (0 - (-5 - (-3 - -2))). What are the prime factors of (k\/(-6))\/((-2)\/444)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1115 and 460049?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2\/(-2))*(-925)\/1110.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20452059 is divided by 146086?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1837735*a**2 - 2059273.\nAnswer: -3675470*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -0.5. Suppose -53*n + 5*j - 18 = -56*n, 3*n - 5*j + 12 = 0. Which is the nearest to 2? (a) n (b) p (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 + 71753.\nAnswer: 71753.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916452 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.08 (b) -4 (c) 1.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1)\/(227 - 231)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdv when three letters picked without replacement from vdnkkikkiikk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 5*b**2 + 4*b. Suppose -5*w - 15 = -3*p - 59, 4*p = -w + 18. Let z be (w\/3)\/((-18)\/(-27)). Does 10 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -48. Let v(u) = -u**2 + 30. Calculate the remainder when v(0) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240718.\nAnswer: 2, 23, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*k + 5*k = -10, 5*k + 10 = 0. Suppose v = -11*z - 57 + 464. Calculate the remainder when (1 - 2)\/((-2)\/144) is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5, -2, 3\/8 in descending order.\nAnswer: 2\/3, 3\/8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -241*f**4\/4 + 121*f - 73. What is the first derivative of k(n) wrt n?\nAnswer: -723*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508 a factor of 508725228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24297955681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.64 + 20.16. Let j = o - 12. What is j rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*k)*((k + 0*k + k)*(-17*k**2 + 2*k**2 + 2*k**2) + 2*k**2 + 3*k**3 - 2*k**2).\nAnswer: -69*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*l + 163*l + 579 = 3*d, 0 = -l + 3. Suppose -q + 66 = -0. What is the remainder when d is divided by q?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raggarrargrraag. Give prob of sequence arg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70491 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29.506183983+10\nAnswer: 39.506183983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-9)*6\/(-5). Suppose -3*h + f*i = 14, h - 2 = 5*h - 2*i. Suppose -6 = -a - h*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/80 - (-936)\/10. Let s = -93 + g. Solve 6 = k + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 72 = 3*k. Suppose 3*h - v = -29, -5*h = 4*v + 16 + 4. Let n = -2 - h. Calculate the smallest common multiple of n and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -82, -84, -86, -88, -90?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/35 and -91\/7010?\nAnswer: 49070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2. Let n(w) = -4*w**3 + w**2 + 7*w - 1. What is -n(j) - 3*q(j)?\nAnswer: j**3 + 2*j**2 - 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 + 1) + 29. Let a = s - 22. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 70, 56, 24, -32?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 170268 = 31*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277681.\nAnswer: 359, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-51)\/(-15))\/(1 - 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 w when four letters picked without replacement from {h: 9, w: 10}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjfjjvvfjvvjffjjfj. Give prob of sequence qffj.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1516*y**3 - y + 1519*y**3 + y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - f + 14. Let v be l(0). What is the units digit of 4\/14 + 178\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 981415605 to the power of 1\/2, to the nearest integer?\nAnswer: 31328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/((v\/(v**(-3\/4)*v))\/v))**(-2\/3)\/((v*v\/(v**5\/v))\/(v*v\/(((v**(-1\/5)*v)\/v)\/v)))**7 assuming v is positive.\nAnswer: v**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -582 - -29. Let d = 558 + x. Put -8, -2, -10, d in ascending order.\nAnswer: -10, -8, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635761 divided by -6?\nAnswer: -635761\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r + 0*r**2 + 5 - 1\/27*r**6 - 2\/27*r**3 + 2\/45*r**5 + 1\/18*r**4. Factor v(c).\nAnswer: -2*c**2*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k - 8. Let b be p(-7). Let v be 1 + 3 + (-2 - b). Suppose -v*z + 71 = -100. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**5*p)\/(p\/p**(-2\/5)*p))\/(p\/(p*p\/p**5)*p\/p**(-2\/11)))\/((p**(-1\/3)*p*p)**(18\/7)*(p**(2\/5))**(32\/3)) assuming p is positive.\nAnswer: p**(-2341\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12657 divided by 7?\nAnswer: 12657\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-39)\/104)*(-2)\/(-152).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 945607.8 to the nearest one thousand.\nAnswer: 946000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*d - 30 - 5 = 0, -5*t + 5*d = 0. Suppose t*g + 9 + 1 = 0. Let s(o) = o**2 + 2*o - 1. Give s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5009750 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -635*o**3*x - 49*o**2*x - o**2 + 2*o*x - 3*x wrt o?\nAnswer: -3810*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*k + 27*k + 62*k + 148 - 147 + 13*k - 16*k.\nAnswer: 189*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 1949794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15666 = 4*t, -3*t - 5423 = 3*s - 17186. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-6)*(-171)\/114. Suppose -t = 3*k - 132, o*t = -k + 384 + 100. Is t a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15080*v - 441 + 441.\nAnswer: 15080*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110185?\nAnswer: 5, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 744a + -193a7?\nAnswer: -11b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 35*j + 3063 = 9015. What is the highest common divisor of j and 7254?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 19 + 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 17. Let k be n(-6). What is the common denominator of 121\/6 and (12\/40 - k)*-18?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*z - 1 = -5*z, -4*z + 35 = 5*g. Suppose 16 = 2*d - 3*n, d = 3*n - 5*n + 1. Sort d, 1, g in increasing order.\nAnswer: 1, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 1. Let q be r(3). Suppose 16 = 2*s + q. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-3)\/(9\/(-471)). Let m = 1218 + k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 72?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2137 times -1982\nAnswer: -4235534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 361361655283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m + 5*m - m**2 + 7*m. Let o(y) = -4*y**2 + 4*y - 4. Let c(h) = -3*h**2 + 5*h - 5. Let q(v) = -4*c(v) + 5*o(v). Calculate g(q(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 775 + -74. Suppose 9*g - 8461 = w. What are the prime factors of g?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2786.\nAnswer: 1\/2786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-4))**(1\/36)\/(h*h\/(((h*h\/(h**(1\/3)*h)*h*h)\/h*h)\/h))**(-22\/3) assuming h is positive.\nAnswer: h**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1644*l - 90413. Determine b(55).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16234555471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 894, 1070, 1376, 1818, 2402, 3134, 4020?\n\"Answer: f**3 + 59*f**2 - 8*f + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, -86 in increasing order.\nAnswer: -86, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37222 is divided by 163.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 6*r**2 - 9*r - 2. Let t(n) = -n**3 + n**2 + n. Let a(d) = -2*t(d) - v(d). Let k be a(8). Calculate the greatest common divisor of k and 435.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != 76795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/161980*65)\/((-135)\/36*1\/3)?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -139 - 12*f + 47 + 58 + 48 + 9*f. Calculate a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -l. Let o(m) = 3 + 8 + 4*m**2 - 9*m**2 - l*m**2 + m**3. What is the tens digit of o(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ttltttllltt.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 221168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(0 + 2\/6). Let t = 2136 + -2129. Suppose -l = -8*d + t*d. Solve 0 = -3*c - b + 4*b + d, 4*c + 23 = -5*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiicfcaff. Give prob of picking 2 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 588938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -617*r**2 - 431*r - 524. Give d(-1).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-138)\/575*1\/9. Is -1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1890\/14)\/(1\/(-2)). Let f be (-1524)\/a*5 + (-2)\/9. Suppose 16 = 4*l - 2*y - f, l = -3*y - 3. Calculate the remainder when 26 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2*t - 582, -11*t = -3*y - 12*t + 861. Suppose -304*o + 112 = -y*o. Calculate the highest common divisor of o and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h - 4*l, 3*l - 7 = 2*h - 2*l. Which is the third biggest value? (a) -0.23 (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 30888?\nAnswer: 30888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -53. What is the nearest to j in 2, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 42 - h**2 + 500*h - 37 - 502*h. Let a(q) = 3*q**2 + 6*q - 14. What is 2*a(s) + 7*b(s)?\nAnswer: -s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 + 3. Suppose -12 = 4*q - 8. Which is the second biggest value? (a) 0 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -13*w**3\/3 - 2*w**2 - 5*w + 3. Let f(v) be the first derivative of j(v). List the prime factors of f(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 - 188 - (2 + -22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/11)*m*m**(-9))**(-18\/13)*(m\/m**(1\/8))\/m**(-1)*m**(-1)\/m*m*m**(-1\/4) assuming m is positive.\nAnswer: m**(13963\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97984276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284 rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*y - 128*y + 1997 = -1963 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3179549 is divided by 3940?\nAnswer: 3909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13351671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-30))\/((-4)\/8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 2, k: 2, b: 2, s: 2, q: 1}. Give prob of sequence btk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-60))\/((-50)\/12). Let l = 363537117\/500 - 727074. Let r = l - o. Which is the closest to r? (a) 1 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (44\/(-15) - -3)\/((-3)\/(-6)). Let n(j) be the first derivative of 0*j**3 - 1\/9*j**4 + 0*j + 2 - a*j**5 + 0*j**2. Determine o, given that n(o) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2104, -4, 2, 4, 12 in ascending order.\nAnswer: -4, 1, 2, 4, 12, 2104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-182358)\/(-1458) + (-6)\/81. Let f be (0\/1 - 1) + -126. Let q = f + w. Sort -4, 2, q.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -284*z**2 - 71*z. Let k(p) = 2*p**2 + p. What is 71*k(d) + l(d)?\nAnswer: -142*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a**3 - 26*a**3 + 2*a**3.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 46818.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-16)\/20))\/((-1)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2412*j - 2543*j = -4454 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4334.1 - -4333.64934. What is v rounded to 2 decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3997 + -1225?\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 4:27 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**3\/6 + 3*m**2\/2 + 6*m. Let k be c(9). Let s be k\/(-5)*45\/18. Solve -4*j - 2*f - 22 = 0, -4*j - 3 = -j - s*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106034 (base 8) to base 3.\nAnswer: 1211012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -15. Let t = -0.001 - 0.999. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*m - 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 17*i + 55. Suppose 3*t = -r - 56, 15*t + 5*r - 40 = 16*t. Let p be u(t). Let z(x) = 2*x + x + x + x + 6. What is z(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*o + 31*o**3 + 91*o - 3*o**3 + 5*o**3 - 12*o**3 + (-2*o + 1 - 1)*(0*o**2 - o**2 + 2*o**2) as h + z*o**2 + w*o**3 + l*o and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.9 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-5) - 26\/24 - -3.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + (-5 + 1 + sqrt(1584) - 6*(sqrt(1584) - (sqrt(1584) - (-1 + sqrt(1584))))))**2 + -5).\nAnswer: -237624 + 2160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*i - 23 = 25*r - 325, 7*r - 48 = 2*r + r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 4*x**2 - 56 - 7*x**2 + 59)*(-15 - 42 + 4).\nAnswer: -159*x**3 + 159*x**2 - 159","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296, -305, -328, -371, -440, -541?\n\"Answer: -f**3 - f**2 + f - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1806 = 3*j - 3*q, -16*q = 4*j - 18*q - 2402. Let x = j - 586. Solve -19*i - x = -6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*d + 25, 18 = -3*z - 5*d - 7. Let g = 16 - 12. Solve -f + z = g*c - 7, 2*c - 16 = 2*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -558943.\nAnswer: 8\/558943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4612.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3 + ((-54)\/12)\/(-1)). Which is the smallest value? (a) -3 (b) 1 (c) -0.5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:57 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 46736?\nAnswer: 514096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 - 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 1, -4\/7, 5.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 6*g - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, -3302, -12297, -29786, -58601, -101574?\n\"Answer: -472*f**3 + f**2 - 32*f + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 1. Let g = -2.1 - -0.8. Let h = x - g. Sort -0.4, h, 2.\nAnswer: -0.4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u + 2*p - 13, -u - 4*p - 1 = 0. Solve u*n = -5 - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11122111001 (base 3) to base 5\nAnswer: 10411402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 342992?\nAnswer: 342992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50816.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -407 at most as big as -408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - z + 64. Calculate i(0).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z*(z*(z*z*z*z**(-6\/11)\/z*z)\/z)\/z)**0)**(4\/9) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((6 + -22 + 8 - -1) + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5+0.067227\nAnswer: 5.067227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1088)\/(-1596) - ((-1)\/3 + 1). Suppose 24*u - 33*u = 35*u. Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:18 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l*v*z + 111472*l*z - l - 3*v*z + 22*v + 1345*z wrt l.\nAnswer: -3*v*z + 111472*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*f + 16, 5*q + 5 = -3*f + 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64350 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 225?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*a**3 - 3*a**2 + 181*a + 48*a**3 - a**4 - 177*a - 3 to q + o*a**3 + c*a**4 + g*a**2 + j*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1203, -6506, -15345, -27720?\nAnswer: -43631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 7:09 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/18679035 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010111000101 (base 2) in base 13?\nAnswer: 452a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1828 divided by -457.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 7*o**2 + 0*o**3 + 8*o**3 - 6*o**3.\nAnswer: -2*o**3 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -15 - 18. Suppose 7*o = v*o. Factor -1\/2*l - l**2 + 3\/2*l**3 + o.\nAnswer: l*(l - 1)*(3*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 - 12*p + 2. Let l(u) = -u - 14. Let q(v) = -v**3 - 11*v**2 + 13*v + 2. Let d be q(-12). Let o be l(d). List the prime factors of h(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 418690.2 micrograms?\nAnswer: 0.0000004186902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.0004329 rounded to 1 decimal place?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k + 5*r, -4*k + 5*r = -2*k - 3. Suppose 2*l = -h + 25, 0*h = -k*h - l + 107. What is the remainder when 106 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1304\/1304)\/(((-17)\/(-3))\/(5\/(-15)))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4 + 614*r**3 - 42210*r**2 - 768614*r - 725788 = 0.\nAnswer: -14, -1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/49, 1, 4, 2\/7 in ascending order.\nAnswer: 2\/7, 34\/49, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 26852.\nAnswer: 1\/13426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + (-84)\/9)\/(4\/(-84)) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1151750 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/30*(-328402)\/(-4). Let v = 8205 + u. What is the common denominator of -93\/10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 9*v - 4. Let f be p(8). Suppose 5*a - 28 = s + f, -a - 5*s = -58. Is a a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**3 + 6*p**2 - 6. Let m(x) = -34*x**3 + 17*x**2 - 17. What is -17*b(i) + 6*m(i)?\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -180399*c. Let l(h) = 38*h**2. Calculate a(l(x)).\nAnswer: -6855162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -138. Put -3, -4, o, 3 in decreasing order.\nAnswer: 3, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -28, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52911 - 32359. Is j a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11070 + 28?\nAnswer: -11041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -2\/11 (c) -0.475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32775?\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c**2 - 18*c**2 + 41*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 25 = 0. Solve 0 = -4*o - 4*p, 2*p + 0*p = 3*o - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*g - 19292 - 13977, -8306 = -r + 3*g. What is the highest common factor of 53 and r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*t**2 - 72*t**2 + 162*t**3 - 164*t**3)*(3*t + 9*t - 5*t).\nAnswer: -14*t**4 - 728*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000101010111100111?\nAnswer: -1000101010111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1984240 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 450691373.8 to the nearest one million.\nAnswer: 451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21365017 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 8*m**2 - 10*m + 23. Let n be i(7). What is the closest to n in 0, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**2*l**3 + 285550130*k**2 + 7015981*l**3 wrt l?\nAnswer: 9*k**2*l**2 + 21047943*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 2, 1, -282, -5, 5, 3 in descending order.\nAnswer: 44, 5, 3, 2, 1, -5, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o)**(-3\/5)\/((o*o**(-2\/39))\/(o*o*o\/(o*(o*o**(1\/4)*o)\/o))) assuming o is positive.\nAnswer: o**(-1559\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236 (base 13) to base 6.\nAnswer: -1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163294435*j**2 + 289118145.\nAnswer: -326588870*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/3*(-189)\/(-105). Let t be (-84)\/16*g\/(-9). Suppose -65 = t*h - 23. Which is smaller: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 31*o**2 - 190*o - 22. Is d(8) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 204662 = 204922 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/168 and -121\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -3*o + 110469, -16*o = -2*t - 14*o + 24530. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037724 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 + 25*h**2 + 15161*h - 30426. Give o(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3286730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 78*j - 47. Calculate l(2).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 4*l - 3. What is a(5)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 5 (c) -3\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 at least as big as 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 12893 = 16877. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -8*o + 2614. Let g = o - -124. Let j = g + 1934. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - sqrt(1872)*-1)**2*-6.\nAnswer: -44928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24162863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 312 = 16*v. Solve v*s = -2*s + 45 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 0 - (1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:07 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.025 or 242?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -28*j. Let q(y) = -19*y - 19*y - 12*y + 58*y - 22*y. Determine -4*n(s) + 7*q(s).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 11:22 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.3298 and 3.\nAnswer: -30.9894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/(-42))\/5)\/((-13755)\/(-6419))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.023, 3 in increasing order.\nAnswer: -0.023, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:07 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(5\/3))\/v)\/(v**7\/v))\/(v**8\/(v*v**(-2\/19))) assuming v is positive.\nAnswer: v**(-842\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/160 and -21\/1552?\nAnswer: 15520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 32 = -3*d, 4*d - 34 = 3*i - 8. Find the common denominator of (-9)\/d*364\/147 and 109\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 8*h - 2. Determine v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3004051 + -10?\nAnswer: 3004041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*j - 22976, 8*c + j = 6*c + 45959. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 4, w: 1, y: 4, i: 3, g: 3}. What is prob of sequence gs?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b + 10?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*c**4 + 4*c**2 + 11*c.\nAnswer: -1680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by 78371\nAnswer: 169\/78371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1071 - -469. Let x = 5327 - c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -7. Let l be (-21856)\/(-140) + (-4)\/q. Let c = 156 - l. Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 291, 581, 871, 1161, 1451?\n\"Answer: 290*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = 0. Suppose -4*q - 13 + 149 = p. Let s = 79 + q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624868561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from {v: 2, y: 7, j: 4, o: 1, g: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -270, -316, -366, -420, -478, -540?\n\"Answer: -2*c**2 - 40*c - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -86.8721\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9124)\/(-2281))\/((-2)\/(-17)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2063, -3001, -3937, -4871, -5803, -6733, -7661?\nAnswer: -8587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*o + 1680 = 105*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3610*a + 10 = 3611*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 22 - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12459699 divided by 3?\nAnswer: -4153233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -291, -1, 1.\nAnswer: -291, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11065 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 252 - 396 - 540.\nAnswer: -2*y**2 - 684","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -22408, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t**3\/11 + 58*t**2\/11 - 8*t\/11 - 58\/11 = 0.\nAnswer: -29\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 + 9*c - 3. Let i be g(8). Suppose 3*b - t = i, 1 + 5 = b + 4*t. What is the least common multiple of 3 and b - -5 - (-1)\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1854 and 11907006?\nAnswer: 35721018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 2. Suppose 3*y = -9*y + 156. Let p(x) = x + 1. Let o(h) = y*p(h) + 6*m(h). Calculate o(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 271808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 28529*m**3 + 6*m**2 - 9*m + 6. Let q(o) = 2169944271*o**3 + 456368*o**2 - 684552*o + 456368. What is -228184*c(j) + 3*q(j)?\nAnswer: -28523*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -202*j + 73. What is the units digit of d(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -93. Which is the closest to 1? (a) -13 (b) -1\/5 (c) x (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270360 divided by -90.\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 906, 1834, 2774, 3732, 4714?\n\"Answer: t**3 + 921*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 - p**3 + 5*p**3 + (-2 - 3 - 2)*(-1 + 1 + p**3).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*208\/(-364)*(-1)\/(-4)*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 1. Let m be (5 + (-63)\/18)*(4 - 2). Give d(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p = 87*p + 282*p + 3960 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 208*j**2 - 4*j + 3. Is 29 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5226, 0.17, -4, 3, 5?\nAnswer: -5226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 7, 3*u = 2*b + 24079. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 + 1330*a**3 + 21*a**2 - 7*a + 17?\nAnswer: -60*a**2 + 7980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34791, -34778, -34777, -34794, -34835?\n\"Answer: -i**3 + 20*i - 34810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5847 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (3 - (6 + -2)). Suppose 0 = 2*j - 3*j - 4. What are the prime factors of q\/j + -5 - -95?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -23) + 0 + (18 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3945.2 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2940 = -2*n, -n - 4*l = -816 - 645. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiqnffaiuf. What is prob of picking 2 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 69. Calculate the least common multiple of (-1)\/10 - 68407\/(-670) and g(-11).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.33 - 54.1. Let l = 0.33 - o. Which is the nearest to l? (a) 2 (b) -5 (c) 9.8 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151267565 times -0.3\nAnswer: 45380269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1530479*k**3 + k + 2523844?\nAnswer: -4591437*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11697, 46780, 105249, 187104, 292345, 420972?\n\"Answer: 11693*c**2 + 4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvu when three letters picked without replacement from {u: 2, v: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c + 528. Let u(k) = 3*k - 1. Give o(i) - 3*u(i).\nAnswer: i + 531","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3261 - -4835. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.015, -3\/2, 899, -1\/5, 2\/11, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912 = -10*t + 5592. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-23)\/(h**20*h))\/((h*h**(-38))\/(h*h*h**(-28))) assuming h is positive.\nAnswer: h**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -51 (b) -2\/17 (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*s - 10, 22 = -3*s + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 17793*d\/5 - 60246956\/5.\nAnswer: -(d - 13244)*(d - 4549)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65116 divided by 223.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -523?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -66. Suppose v*x - 20 = 0, k - 5*x + 6 = -9. Put -13, k, 3 in descending order.\nAnswer: k, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 1. Let f(n) = 3*n + 22. Let l be f(-8). What is the third smallest value in l, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 20*s = -24*s + 104245, 0 = 5*t - 3*s - 74490. What are the prime factors of t?\nAnswer: 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 13*m + 8. Give g(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/18)\/(5\/30*-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682705379?\nAnswer: 1889, 361411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z**3 - 994*z**2\/5 + 42888*z\/5 + 104 = 0. What is z?\nAnswer: -13, -2\/165, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-5) + 12\/20 - -34. Calculate the greatest common factor of g and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 1445 = -p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 + 45672*o**3 - 130142020*o**2 - 1306494672*o + 1436591024 = 0. Calculate o.\nAnswer: -11, 1, 5714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 712658631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -4*n + 14, v = -0*v - 4*n + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6341 = 1062*s - 52007 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 + 51*u - 22. Let h be r(12). Solve 0 = -3*y + 2*f - h, f + 12 - 1 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21887707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*l - 335*l + 193*l.\nAnswer: 301*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 52822304*h - 52822302*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139.4 + -109. Let u = 22 - s. Round u to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11329, 22649, 33969, 45295, 56633, 67989?\n\"Answer: g**3 - 6*g**2 + 11331*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000676850116 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - p - 2. Let s(n) = 201*n**2 - 30*n + 18. Let v = -426 - -435. Let u(g) = v*l(g) + s(g). Find the second derivative of u(i) wrt i.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o - 1761 + 1761.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/20)\/(210\/(-40)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*p**2 - 75*p**2 - 19*p**2 + 25*p**2 in the form d*p + h*p**2 + s and give h.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192918963, 192918961, 192918959, 192918957, 192918955, 192918953?\nAnswer: 192918951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 396\/7449653 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, w: 2, v: 1, s: 1, c: 1}. Give prob of sequence bc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9260*x + 1365*x + 9203*x - 4127*x in the form l*x + a and give l.\nAnswer: 15701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.176761 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6066 + 23598 = -966*x - 11874 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (12 - (-8 - -3) - -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**2 + 8*q**2 + 7*q**2)*(-3 + 4 - 3 + (2 - 2 + 1)*(1 + 0 - 3) - 10 + 3 - 5)*(-3 + 2 - 4) to the form f*q**2 + t + r*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 19*b**2 - 26*b - 2. Let k(m) = 3*m - 27. Let j be k(15). Let v be n(j). Does 35 divide 6\/(-10)*-5 - 1*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-232)\/(-366) + (-76)\/(-2318). Factor -2\/3*f**3 - 2 + m*f + 2*f**2.\nAnswer: -2*(f - 3)*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + 8898?\nAnswer: 8879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6331511559?\nAnswer: 3, 199, 10605547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/708 and 51\/13912.\nAnswer: 2462424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*r - 736 + 330 = -122*r + 644 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 50, 3\/177884 in ascending order.\nAnswer: 3\/177884, 0.3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 89*r - 85*r. What is the derivative of -4*t**4 - 139 + 27 + t**4 - 4*t**r - 21*t + 17*t wrt t?\nAnswer: -28*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3934551.\nAnswer: 3, 31, 42307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/66547571 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(5) - sqrt(5))**2 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4448*0.3\nAnswer: -0.13344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.1. Let s = -19 - -55. Let h = s - 215\/6. What is the third smallest value in -5, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2951 - -2955. Let z(a) be the first derivative of 0*a + 0*a**l - 4 + 0*a**3 + 5\/6*a**6 + 0*a**5 - 6*a**2. What is the second derivative of z(u) wrt u?\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (207*g + 195*g - 340*g)*(-2*g**2 - 2*g**2 + 5*g**2) as v + d*g**3 + a*g + w*g**2 and give d.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1179 divide 7131130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 39 = -4*d, -3*d + 4*t + 18 = -8. Let q(z) = d*z + 16*z - 32*z. Let c(f) = 36*f. Calculate q(c(i)).\nAnswer: -216*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 1 n when three letters picked without replacement from ypynppnn?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.5, -132?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*t**2 - t**2 - 5*t**2)*((-31 + 31 + 10*t)*(-8*t - 9*t + 3*t) - 2*t**2 + 3 - 3).\nAnswer: 2698*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2\/3 - 119787995*v\/3.\nAnswer: -5*v*(v + 23957599)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 9*n - 7. Let j be x(10). Suppose -19 - 9 = 7*g. Put 5, -3, j, g in ascending order.\nAnswer: g, -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -5*d**7\/14 + 329*d**4\/12 + d - 373. Find the third derivative of k(t) wrt t.\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/15)\/(v*v*v**15*v))\/(v*v**(-3\/4))**(19\/4) assuming v is positive.\nAnswer: v**(-4637\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -75.9999916. Round f to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 6. Let i(t) = -t. What is j(i(w))?\nAnswer: 4*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:51 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116962*s + 115849*s - 232772*s.\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/108 and -119\/13548?\nAnswer: 121932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttjtjjjjjjjtjjj. Give prob of picking 1 j and 1 t.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14368 and 1376.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**2 + 25 + 0*i**3 - 1\/2*i**4 + 160*i. What is the derivative of y(o) wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -15*n**4 - 230*n**3 - 1020*n**2 - 1050*n - 245 = 0?\nAnswer: -7, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/23331 (b) -2\/13 (c) 3\/2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4 - 4*s**2 + 3 - 7. Let h(r) be the second derivative of r**3\/6 + r. What is n(h(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 minus 791792562760?\nAnswer: -791792562766.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11550 + 44959. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -24. Put 3, j, 2 in descending order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**3 + 2*i + 8*i**3 + 9*i**3 - 6*i**2 + 7 - 23*i**3. Determine q(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1214, 22, 2060, 4882, 8470, 12806, 17872?\nAnswer: 23650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, q: 2, u: 4}. Give prob of sequence uuk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g**3 + 23*g**2 + 8*g + 1. Let m(n) = 42*n**3 + 69*n**2 + 22*n + 3. What is -11*d(l) + 4*m(l)?\nAnswer: 3*l**3 + 23*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(931) + sqrt(931)*2*3 + sqrt(931)*-1 + -4)**2.\nAnswer: -134128 + 1344*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510605098 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -17 + 2, 22*a - 3*o - 13 = -2*a - 52 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -569*y**6\/15 - y**5\/20 - 487*y**4\/6 - y**3\/3 - 5*y + 168. Find the third derivative of c(u) wrt u.\nAnswer: -27312*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5327598 and 36.\nAnswer: 31965588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(88) - ((sqrt(88) - (sqrt(88) - -1*sqrt(88))*-6) + sqrt(88))))\/(sqrt(72)\/(3*sqrt(441) + sqrt(441))).\nAnswer: -728*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*r = -189, -4*j - 5*r + 78 = -174. Suppose 2*n - 3*d + 11 = 50, -4*n + 3*d = -j. What is the smallest common multiple of 8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -1381, -2924, -5085, -7864?\nAnswer: -11261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8593\/9 - 953. What is the common denominator of -62\/159 and l?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -27*m + 69. Let d(a) = a**2 + 4*a + 4. Let y be d(-3). Sort y, m, 6 in descending order.\nAnswer: 6, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103a369 (base 11) in base 2?\nAnswer: -110111110100101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 260\/39 - (3 - -1). Let j = -174 + 178. Put 0.1, j, h in descending order.\nAnswer: j, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786.0918 days to nanoseconds.\nAnswer: 67918331520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18449 is divided by 3558?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**5\/4 - 5*s**4\/8 + 5*s**3 - 35*s**2\/4 + 25*s\/4 - 18. Factor j(p).\nAnswer: -5*(p - 1)**3*(p + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 22426794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n - 10*n + 250. Solve 0 = 10*t - n - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 - 25192*i\/5 + 50376\/5 = 0. What is i?\nAnswer: 2, 12594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 - -398. Suppose 4*p + v = 601. Suppose 0 = 5*x + 20, -2*q + 2*x = -0*q - 38. Calculate the highest common factor of q and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*m + 2*m. Let g = m - -1. Sort -4, g, 2.\nAnswer: -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (79\/(3792\/(-320)))\/(2\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.009 + 0. What is k rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -9. Let k = h - -23. Suppose 5*n = -4*j + 7624, -k*j - 2*n + 7600 = -3*n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 4*a**2 + 2*a**3 + (4*a - 4*a + a)*(2*a**2 - 4*a**2 + 3*a**2) + 3*a**3 - 20 + 20 - a**3 - a**2 + a**2 + (6*a**2 - 4*a**2 - 4*a**2)*(2*a - 2 + 2).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a factor of 24125426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 1. Let w be h(-2). Solve 5*u = -5*p - 25, u = w*p - 2 - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51.00037 + 51. What is b rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**3 - 5*s - s + 10*s - 4*s**3.\nAnswer: 7*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-4) - 0)\/((-14)\/2968).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -29\/136202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108907*f + 151394?\nAnswer: 108907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3303*u - 96. Let v(x) = -3302*x + 144. Give -2*v(l) - 3*z(l).\nAnswer: -3305*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - 3.2. Let y be 2\/(-21)*(-6)\/4. Which is the nearest to h? (a) -2\/7 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 3\/4*q**4 + 3*q**3 + 7 + 0*q + 0*q**2. Find the third derivative of g(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2. Suppose 0 = m - 0*m + 6. Let w(a) = -7*a**2 - 6*a. Let c(p) = 15*p**2 + 13*p. Let r(s) = m*c(s) - 13*w(s). What is r(x(k))?\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 11872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 2*g, -3*g + 13 = 5*l - 6*g. Suppose 5*s - 361 = 5*k - l*k, 4*s - 3*k = 290. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(130))\/sqrt(10))**2 - ((sqrt(832) - (sqrt(832) + -3))**2 - sqrt(832)).\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h**3 + h**2 - h + 1. Calculate the remainder when (6*1\/15)\/(8\/1320) is divided by f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/16)\/(2\/(8\/4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 3. Let x be v(-2). Let c = 2 - x. Let m(n) = n + 2. Let t be m(c). Sort t, 3, -3 in increasing order.\nAnswer: -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2251*j = 2303*j - 3446*j - 118556 for j.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3\/4 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 412, 616, 818?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 16) to base 9\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/24 + 35*i**2\/4 - 141*i\/8 - 564. Solve x(y) = 0 for y.\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (1 - 2) + 1 + -22 + 164 + -137.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -w + 8*a, -11*a + 10*a + 11*a = 5*w + 15*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 27, -5.\nAnswer: -6, -5, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 3598.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {v: 1, e: 1, w: 2, s: 1, j: 1, i: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:28 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u - 58. Let p be v(-8). Suppose -9*m + p*m - 1285 = 0. What are the prime factors of m?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31473815 and 2110?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 7*v**4\/24 - 3*v**3\/2 - 2*v**2. Let k(p) = 4*p - 5. Let z(n) = -3*i(n) + 5*k(n). Let h(g) = -2*g + 3. Give 4*h(l) - 7*z(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -138, -184, -216, -234?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 12*j**2 + 31148*j + 186870. Determine z(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csfzzszzcc. Give prob of sequence ssz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009 = 12*d - 899. Calculate the highest common factor of 212 and d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 162747503. Let w(p) = -5*p**2. Calculate o(w(d)).\nAnswer: -50*d**4 + 162747503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104.3 + 218.4. Let k = m + -114. What is the second biggest value in -2, -9, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d. Let n(c) = -10*c**2 + 7*c. Calculate 2*n(y) + 14*p(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -6*d + 89. Is 21 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*g**4 + 29*g**3 - 13*g**2 + 99929 with respect to g.\nAnswer: -76*g**3 + 87*g**2 - 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*7*(-12)\/21*39\/12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4728400 divided by -94568\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/65)\/(295 - (-8177204)\/(-27716))?\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**5*z))\/z**(1\/11))\/(z\/(((z**(2\/9)*z)\/z)\/z))**(-1\/4))**(-11) assuming z is positive.\nAnswer: z**(460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 0*r**5 + 2*r**5 - r**2 + r**2 + 2*r**5 + (1 - 1 + r**4)*(-2 + 2 + r) + 34*r**2 + r**5 - 3*r**3 - 34*r**2 + 0*r**5 + r**5 + r**5.\nAnswer: 8*r**5 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -94179 divided by -61\nAnswer: 94179\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, z: 3}. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - 4*i**3 - 2*i**3 + (-11 + 11 + 3*i**3)*(0 - 1 - 1) to h*i**2 + g*i + n + b*i**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 + 0 = 0. Let j = 19 - 0. Suppose w - j = -v. Calculate the remainder when 46 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 4*f**3 - 8 + 8.\nAnswer: -4*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00357 plus 0.4?\nAnswer: 0.40357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/964721?\nAnswer: -10\/964721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:58 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22926728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3198 and 7197762?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*d - 5*d + 12, -d - 16 = -2*a. Suppose 4*b = 4*x - 72, b = 4*x - 76 + 1. What is the remainder when x is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223127, -446253, -669379, -892505, -1115631, -1338757?\nAnswer: -1561883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -0.9. Let x = 0.09 - -1.91. Let r = -1.8 + x. Sort z, -3, r in descending order.\nAnswer: z, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 17}. Give prob of sequence ee.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 + 59. What is the second derivative of 2*i + 7*i + 176 + 76*i**3 + 0*i - z wrt i?\nAnswer: 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**3 + 52*k**3 - 24*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (673*c - 269*c - 172*c)*(203 - 263 + 128).\nAnswer: 15776*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c - 67*c + 272*c)*(-1 + 0*c - c + 5).\nAnswer: -198*c**2 + 792*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -2941, -9892, -23415, -45700?\nAnswer: -78937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 8 = -4*j - 24, -5 = -5*m + 5*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 93845 times 121\nAnswer: 11355245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10998923 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/(-19)*((-1794)\/(-9))\/23?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130578281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - 1 - (-9 + -334) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 103\/3*r**3 + 0*r + 0*r**2 - 310 + 75\/2*r**4. What is the third derivative of o(p) wrt p?\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 6*k - 1. Let p be (0 - -1)\/((-2)\/12). Let l be w(p). Let u = 0.5 + -0.3. Which is the third biggest value? (a) l (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 2*f**2 + f + 12. What is the hundreds digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1173\/23)\/(-204))\/((-10)\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(3200)*5 - sqrt(3200)) + sqrt(3200))\/((sqrt(160) + (sqrt(160) + (sqrt(160) - -2*sqrt(160)) - sqrt(160)))*-1).\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -175*w + 691*w - 175*w - 17 - 174*w - 170*w - 5*w**2. Determine u(-5).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((20\/15)\/(-4))\/(1\/(-15)). Suppose -5*b = 3*m - 13, d*m - 3*b = 3 - 4. Let g(x) = -4*x**2 + x. What is g(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 365213220 to the nearest integer?\nAnswer: 19111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/396 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10 = 2*j, 2*i + 29 = 5*j - 15. Let u = 94367 + -94291. Calculate the highest common factor of u and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -2, 5\/2, 5\/7, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 + 8*t - 5. Let f be g(3). Let u be (f - 1) + 9414\/(-1044). Which is the second biggest value? (a) -0.04 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 - (-44)\/7. Suppose -q - 6 = -4*d. What is the units digit of (d\/(-2))\/(3\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5482*l**2*y**2*z - 51*l**2*y*z - 2*l**2 - 10*l*y**2*z + 4*l*y*z + 61*y*z wrt y?\nAnswer: -10964*l**2*z - 20*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111012 + -102?\nAnswer: 110310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 - 28*n + 48. Let y(s) = 12*s**2 + 86*s - 143. Let l(r) = -4*y(r) - 11*z(r). Determine g, given that l(g) = 0.\nAnswer: 2, 22\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 18*q + 13. Let d be h(-17). Calculate the remainder when (-6)\/(0 - (-2)\/(-5)) is divided by 2\/3*(-6)\/d - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-18)\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d + d**2 + 2*d - 3*d + 4. Let z be l(10). Is (1 - 27)*33\/z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1656 and 685998.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(17) + (sqrt(17) - sqrt(153)))*-1 + (sqrt(153)*2 - -1*sqrt(1088))**2.\nAnswer: -sqrt(17) + 3327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334228170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271 or 171?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681 + 3144 = 44*m + 349. What is the nearest to 1.9 in -0.2, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 471*g**2 + 3 - 475*g**2 - 2 + g + 2*g**2 - g + 2*g**2 - g**2 + 0*g**2 - g**2 - 4 + 4 + (3*g - 3*g - 2*g)*(-3*g - 2*g + 4*g) + 2*g**2 + 0*g + 0*g.\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*h**2 + 43*h**2 + 18 + 16 - 3*h**3 + h - 94*h**2 in the form a*h + i*h**2 + j*h**3 + x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 968280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 10:27 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1313 + -1267. Let p = 1 - -229. Calculate the greatest common divisor of f and p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 8*w**2 + 10*w + 9. Let a be o(-9). Let m(h) be the second derivative of h**4\/12 - h**3\/3 + 1151*h**2\/2 + 5*h - 14. Is m(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times -233?\nAnswer: -7223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 299, 1190, 2677, 4760, 7439, 10714, 14585?\n\"Answer: 298*u**2 - 3*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + 701. What are the prime factors of n?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21*p**2 - 11*p + 21. Let y be 25\/(-10) - 1\/(-2). Let q(x) = -5 + 2*x + 3 + 4*x**2 - 2. Let d(z) = y*u(z) - 11*q(z). Suppose d(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/18 and -71\/31628?\nAnswer: 284652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592633?\nAnswer: 3, 864211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1551 + 1545. Let z(p) = -2*p**3 - 14*p - 1 + 5*p**3 - 2*p**3 + 4*p**2. Let m be z(a). Solve t - 6 = -4*d, m = -5*d + 4*t + 29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 45.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15547*g**2. Let c(s) = -2*s**2. Calculate c(w(i)).\nAnswer: -483418418*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b + 63. Let c(u) = -3*u + 21. Let f(l) = 4*a(l) - 11*c(l). Let g(n) = n + 20. Let j(p) = -3*f(p) + 4*g(p). Does 9 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*r - 92*r - 95*r + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 47 = -25. Let p be (-87)\/(-4) + (-3)\/(-12). Let m = k - p. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = j - 290, 3*s + 679 - 96 = 2*j. What is the remainder when 372 is divided by j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 4. Calculate the common denominator of 21\/f*11\/(-4) and 149\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7042, 6999, 6960, 6925, 6894?\n\"Answer: 2*w**2 - 49*w + 7089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -117\/88223 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -2. Let u be (4\/p)\/((-1)\/(-3)). List the prime factors of ((-1)\/u)\/(7\/126).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17340124*h**5 + 23856999*h**2.\nAnswer: 1040407440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*(-6 + 9). What is the closest to -0.1 in k, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1133115*w**3 + 727999*w**2 wrt w?\nAnswer: 6798690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4) - 1)*(-6)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 1\/2, 0.04, -19, -1, 1082?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.35. Let w = k - 0.07. Round w to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*sqrt(208))**2.\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(3 - j - 3) + (1 - 1 + 2)*(-3*j + 7*j + 2*j) + j + 1 - 1.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7235*j**2 - 478*j**3 + 15343*j**2 - 8108*j**2.\nAnswer: -478*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 3*o + 2*o)*(-7 + 7 - 129*o + (-2 - 2 + 3)*(o + 5*o - 4*o) - o - o + o) + o**2 - 3*o**2 - 2*o**2 in the form y*o**2 + a*o + t and give y.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + t - 6*t + 18 = 0, 5*i = 5*t. What is the units digit of ((-76)\/16)\/(i\/(-48))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 38711693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 23 (c) 1\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3718 and 338.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*u + 3*u = 25, t - 5*u - 29 = 0. Which is the third biggest value? (a) t (b) 0.8 (c) -1 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42384 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2258)\/(-150157))\/(1\/(-7))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = 6*t. Solve 10 = -t*r + 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/440*(-175)\/35?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 17576*x**6\/3 - 15041*x**5\/5 - 1287*x**4\/4 - 307*x**3\/24 - x**2\/4 + 89*x + 2. Find a, given that g(a) = 0.\nAnswer: -1\/52, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29e + 2e5?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 + 7557168*t - 4759232348352 = 0.\nAnswer: 1259528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/((-1470)\/889) - (-2)\/4. Let p = f + -321\/35. What is the closest to 0 in p, 1, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-16\/7))\/v**(-1\/9) assuming v is positive.\nAnswer: v**(-74\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70\/3 + 143\/6. Let f = 9 - 6. Let g be -1 - f\/24*-10. Which is the second biggest value? (a) 5 (b) -4 (c) g (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31.37 and 69.\nAnswer: 2164.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (8 - ((-1 - -15) + 10)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 51 - 60 - 1 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 31*z**2 + 29*z + 50. Determine d(30).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 18150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187795 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/58206829 and 117\/10.\nAnswer: 582068290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99783411 rounded to 3 dps?\nAnswer: -0.998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10372216, 20744432, 31116648, 41488864, 51861080?\n\"Answer: 10372216*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 32*b + 50. Let r be o(-31). Solve 41 + r = -12*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhmuhmhmqmwhmhym. Give prob of picking 2 h, 1 m, and 1 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let k(a) be the third derivative of 1\/6*a**3 + 0 + a**2 + 0*a. Let t be (8\/(-60))\/(-12 + 356\/30). Calculate t*x(p) + 2*k(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/8 - 283*j**2 - 2. Let d(p) = 203*p**2 - 4. Determine q(d(l)).\nAnswer: -609*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 - 2*j**2 + 2*j**2)*(0*j + 2*j - 7 - 4*j) as l + f*j**2 + c*j + s*j**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((531\/295)\/(-3))\/((-6)\/(-40)))\/(50\/1).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45903, -91831, -137759, -183687, -229615?\nAnswer: -275543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 789, 3, 5\/3 in decreasing order.\nAnswer: 789, 3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 9:37 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/(((-18)\/(-21))\/((-65)\/(-7))).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 335*a*f*i - 2*a*f - 77726*f*i - 5*f + 317006 wrt i?\nAnswer: 335*a*f - 77726*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/335 + 5 + (-453)\/(-15).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9dc4e (base 16) in base 13?\nAnswer: -23c9b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/399 - -6\/133. Let n(z) be the first derivative of 0*z + 0*z**2 + 6\/35*z**5 - 2 + 2\/21*z**3 + 3\/14*z**4 + c*z**6. Determine u so that n(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5034842664 + -0.02\nAnswer: -5034842664.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*3\/((-18)\/4). Let x = 633 + -630. Factor -7*y**2 - h*y**2 - 12*y - 2 + 6*y**x + 3*y**4 + 14.\nAnswer: 3*(y - 1)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -23*a + 50. Let p(v) = 12*v - 25. Let k(x) = 3*d(x) + 7*p(x). Let t(b) = b. Let q(r) = -2*k(r) - 18*t(r). What is the hundreds digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656587931?\nAnswer: 59, 179, 62171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2650 divided by 10\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.8750891 months?\nAnswer: 0.0156257425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6\/5)\/(p\/(p**(-11)\/p)*p) assuming p is positive.\nAnswer: p**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -0.3, -4 in decreasing order.\nAnswer: -0.3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21350, -21349, -21348, -21347?\n\"Answer: b - 21351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10283 - 10265. Solve -93*l = -111*l + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g - 3. Suppose 14 = 3*s + 5*j, 0 = 5*j + 8 + 2. Let v(z) = -186 + 188 + 4*z + s*z - 2*z. Give -3*v(h) - 2*y(h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*g**3*q**2 + 314*g**3*q + 6*g**3 + 20*q**2 wrt q?\nAnswer: -30*g**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -3*w**5\/10 - w**4\/4 + 2*w**3\/3 - 2*w**2 - 95*w. Let j(t) = -5*t**3 - 3*t**2 + 3*t - 3. What is -4*j(d) + 3*m(d)?\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-53680)\/(-66) + (-8)\/6 is divided by 59?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axkaiaxa. What is prob of picking 3 a and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/8 - ((-161117)\/10824 + 15) and 47\/328.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)\/((-11)\/(-220)). Let k = 61 + a. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 94?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-1*(sqrt(12) + sqrt(48)\/sqrt(4))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4864003*f**5 + 3*f**3*w**2 + 2*f*w**2 + 3*f*w + 209*f + 75*w + 1 wrt f.\nAnswer: -97280060*f**3 + 18*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44035, 44064, 44105, 44164, 44247, 44360, 44509?\nAnswer: 44700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqgpooqkgopo. Give prob of sequence op.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - -1.5. Let s = 5.4 - y. Let b = -3 + s. Which is smaller: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 12202101?\nAnswer: -12202105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2 + 17\/((-459)\/60)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*g - 2*x, x = 4*g + 5 + 10. Is (8088\/(-20))\/(0 + g\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -628151 times -0.4?\nAnswer: 251260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2406 + -362?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 12. Let z be s(-5). Suppose w + w + z*l = 4, 4*w - 5*l - 26 = 0. Solve 0 = -0*h + w*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 + 52747717*k\/2 - 2782321648712089\/4.\nAnswer: -(k - 52747717)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + 53*l**3 + 2 + 7*l**4 - 53*l**3 + 4*l**2 + 2*l as g*l + k*l**2 + b + t*l**3 + y*l**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 126*d**2 + 240*d - 1008. Give z(-124).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 4, j: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okoo when four letters picked without replacement from ookkkkkkookkkk.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2381 - -3?\nAnswer: 2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79953.41 millilitres to litres.\nAnswer: 79.95341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.2, 3\/2, 148?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-6 + -1)) + -7 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3 - (1 + -2)) + 9085 + -9098?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 315. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 6*r - 32. Determine i(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -112 - -148 - ((-3 - -7) + 3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2181*x**2 + 959*x**2 + 1096*x**2.\nAnswer: -126*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 293679 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + 4*k + 9. Let v be y(5). Calculate the remainder when (-616)\/(-18) - v\/18 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyaaaayyyyyayyyyyyyy.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 664 and 385746982?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (376\/14)\/(7\/((-245)\/(-10))). Suppose -2*b - 37*l = -32*l - n, -l + 152 = 4*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 2 - 7*h**2 - 6*h + 7*h - 2*h**3 + 0*h in the form w + p*h**2 + l*h**3 + q*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, 2\/3, -8\/23, 1\/3, -1\/3?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q**2 + 8*q + 16. Let b be c(-4). Let p = 277 - b. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 536 - 532. Suppose -t - 121 = -5*v, -3*t + d = -2*v + 42. What is the highest common factor of 20 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/20 + p**4\/12 - p**3\/6 + p**2 - p. Give m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 0, -1 in increasing order.\nAnswer: -2, -1, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-66)\/56))\/((21\/(-33))\/(1820\/520))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 20*d - 18*d = 18, d = 2*p - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (2 + -10)) + -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from etettetekggetgtg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p + 68 = 0. Let v = -14 - p. Suppose 3*g - 9 = v*r, -2*g + g + 7 = -3*r. Which is smaller: -6 or g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/745 in 3, 2\/3, -0.2, -3\/2, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1049 by 3.\nAnswer: 1049\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + 91. Let p(t) = t + 1. Give p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3994 divide 43870096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 40*b - 39*b + 20, -3*a = b + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/54*12\/28.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**(-7))\/p*p)\/(p*p**0)*p*p*p\/(p**(-2)*p)*p**7 assuming p is positive.\nAnswer: p**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.3792 (b) 1\/7 (c) -2 (d) 3\/7 (e) 3 (f) 0.1 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181947 - 183402599\/1008. Calculate the common denominator of i and 85\/63.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r - 1)*(-2*r**3 + 2*r**3 + 2*r**3) + r**4 - 2*r**4 - r**4.\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274089588 by 91363196.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294872393 to the power of 1\/3, to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039777603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 4*j - 4. Let v(u) = 5*u + 7. Let k(x) = 9*x + 13. Let c(p) = -6*k(p) + 11*v(p). Suppose 0 = 2*m - 14*m + 12. Determine m*g(n) - 4*c(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393111.\nAnswer: 263, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 146 + 146 = 0. Solve u = 4*n - o - 8, -o + 0*o + 13 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 + -23 - 4) + 143 - (17 + 1)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*q - 61, -4*u - 2*q + 23 = -39. Let m(c) = c**2 - 14*c - 2. Let s be m(u). What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -560, -1265, -2252?\nAnswer: -3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 182, 391, 616, 863, 1138, 1447?\n\"Answer: j**3 + 2*j**2 + 196*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-135)\/(-7) - (-6 - 176\/(-28)). Does 2 divide 295\/(-59) + 7*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -7. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g + 55. Let k(x) = x**2 + 9*x - 15. Let i be k(g). Solve i*r = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6737271096 from -142.\nAnswer: -6737271238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 1*202\/(-18) - -6. Let d = -73 + 17. Is d at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -10, 13, 74, 185, 358, 605?\n\"Answer: 2*a**3 + a**2 - 20*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p + 7*p - 13*p. Let o(a) = 20*a**2 + 10*a. Let i(k) = -10*g(k) - o(k). Let b(d) = -d. Give b(i(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0 + 0*b**3 + 0*b**2 + 5*b + 1\/6*b**4. Let j(a) be the first derivative of -9*a**2\/2 - 3. What is j(p(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0*w + 0*w + 4*w + 4*w - 32 + 4*w**2 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -154, -219, -302, -409, -546, -719?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/6 + (-57)\/(-18). Let x = 0 - -5. Suppose 51 = 2*b - x*f, -t*b = b - 3*f - 81. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:02 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w, -2*x - 9*w = -6*w. Is (-16797 + x\/(-5))*(-1)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 840 - 1030. Let c = w - -190. Solve -11*p - 14 - 8 = c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.2 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 128751250099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29265311473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119111 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/10)\/(1\/7533436). Let o = 9966872 + n. Round o to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -766 + 3881. List the prime factors of t.\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 223 in 999, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let p(o) = 8*o + 8. What is -p(n) + 6*s(n)?\nAnswer: -2*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 27, 0.4, 1\/12, -92, 0.18, 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**4 - 4*d**4 + 38 + 8*d**3 - 300 - 10*d**3 in the form n*d**3 + j + m*d + q*d**2 + g*d**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - u - 6, -5*p + 6 = 2*u. Suppose 0*d = -p*d + 24. Is 7\/((d\/9)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/60 + d**4\/3 + 3*d**3\/2 + 10*d**2. Let c be w(10). Let i = c + 15. Solve -i = -2*v + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i - 10. What is s(5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/76011 and -59\/54?\nAnswer: 1368198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - 7. Let m(g) = 3*g + 4. Let l(x) = 5*m(x) + 3*r(x). Suppose -2*q + 2*i + 12 = 2*q, 4*i = 8. Calculate l(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3069607+20.7\nAnswer: 3069627.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 16*k - 12. Give p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0 - 3\/6. Let c = 32.6135 - 1.6135. What is the smallest value in i, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/4274 and -65\/6.\nAnswer: 12822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Let f(a) = a**2 - 5*a - 2. Calculate f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + -3 + 3*sqrt(245))**2.\nAnswer: -294*sqrt(5) + 2254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -741042, -741008, -740992, -741006, -741062?\nAnswer: -741172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87375796 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 21 = 1. Let m(h) = -4*h - 14. What are the prime factors of m(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3170)\/(-75) - (200\/(-4) + 92)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {e: 3, k: 7, d: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -19 + (1 - (-1 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 704. Suppose -22 - 191 = -5*z + g, 2*g - u = -4*z. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 60 = -7*h. Let s be 10\/h - 4\/3. Let j be -4 - 6*(s - -1). Solve 2*w - 2*q - j = 0, w + 5*q - 7 = -24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180.66 - -3107430.2\nAnswer: 3107249.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-50))\/((-2)\/30). Let r = -11 - x. What is the highest common divisor of r and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*h - 53*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118128705.\nAnswer: 3, 5, 67, 117541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t - 2*t**3 + 4*t**3 - 3*t**3 - 3*t**3 + (0*t + t - 3*t)*(-5*t**2 + 4*t**2 + 2*t**2) + 2*t**3 - 2*t**3 - t**3 - t**3 - 41*t + 12*t - 23*t.\nAnswer: -8*t**3 - 52*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvv when three letters picked without replacement from {v: 3, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 4*k + 8. Let s be d(-5). Suppose x + 4*v - 2 = 0, 3*x - s - 3 = 4*v. Solve 5*h - z + 11 = x, -4*z = h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from blldbldllllbblbdb?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from pwpwupuppwwwpwu.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -20*p**2 + 100*p + 273. Give o(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2464*f + 705*f - 2185*f.\nAnswer: -3944*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**3 + 34 + x - 1\/6*x**4 + 2*x**2. Calculate n(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, y: 8, l: 5, b: 1}. What is prob of picking 2 y?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2755*g + 2774*g = 3*o + 75, 2*g - 3*o + o = 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56999 and 2?\nAnswer: 56997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*u**5 + 22*u**3 - 14*u + 14 wrt u?\nAnswer: 200*u**3 + 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26991.\nAnswer: 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2159 - 441*x + 453*x + 6132*x**5 - 2250 wrt x.\nAnswer: 122640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 96797 = -14633. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1533196 * 0.2.\nAnswer: 306639.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/75202000 and -73\/16.\nAnswer: 75202000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1686 and 22.\nAnswer: 18546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 6:25 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 3*r**2 + 4*r + 2. Let b be n(-3). Let s = -6 - b. Let z = 16.5 - 16.2. What is the second smallest value in z, s, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 14*g + 0*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 470812520.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*w**3 - 888687*q**3*w**2 - 71704*q*w**3 - 4*q - w**2 + 3 wrt q?\nAnswer: -12*q*w**3 - 5332122*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1717438635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -110, -107, -104, -101, -98?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144*-1696.\nAnswer: 244224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10798 = 1844*a + 3444 - 5554 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 643.2 - 643. What is the smallest value in -1\/9, 1\/4, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/232482242 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (5 + 5))*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 1*20\/(-5). Let o be 0 - m\/2*54\/1. Suppose -18*y + o = -21*y. What is y rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -44, 17\/5, -32, -7, -1\/3, -2?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 23, 50, 109, 212, 371, 598?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + 4.4. Suppose -15 = -k - 2*k. Suppose 5*m - 5 = -4*t, k*t + m = -4*m + 5. Which is the nearest to t? (a) i (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224884 and 1254.\nAnswer: 674652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15*b**2 - b + 13. Let o(d) = 7*d**2 + d - 6. Let k(y) = -13*o(y) - 6*v(y). Let j = -25 - -18. Let t(r) = -r**2 - 3*r. Give j*t(i) + 3*k(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 9*x. Let b be c(-7). Let n = 35 + -35. Suppose s + d = 27, -4*s + n*d - d + 111 = 0. What is the highest common factor of s and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1583*p**3 - 13*p**4 - 1582*p**3 - p**2 + 3164*p**3 - 41 to the form f*p**2 + m + w*p + g*p**3 + x*p**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*h - 4630 = 522*h + 2937 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135472, 135490, 135520, 135562, 135616, 135682, 135760?\nAnswer: 135850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.91288 - 4305?\nAnswer: -4483.91288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 588644.9588 and 3?\nAnswer: 588641.9588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 + 4503*w**4 + 834594*w**3 + 2458842*w**2 - 834597*w - 2463345 = 0.\nAnswer: -1285, -213, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6193426?\nAnswer: 2, 1433, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 7*h**5\/2 - h**4\/12 - 374*h**2 + 14*h + 59. Find the first derivative of i(x) wrt x.\nAnswer: 210*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142975113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 216, 505, 920, 1467, 2152, 2981, 3960?\nAnswer: 5095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = -10*l. Suppose 0 = 6*i - 2593 + 145. Let j(d) = 407*d**2 + 1 + i*d**2 - 816*d**2 - 3*d. Determine j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 - 208 - -123 - (-58 + 0).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116319102 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -47991 (c) 2\/17 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17.2, 0, -7, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 20*n. Let o(y) = 7*y. Let f(v) = -6*b(v) + 17*o(v). Let k be f(1). Which is smaller: k or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 9*k**2 + 19*k + 15. Let j be d(5). Calculate the greatest common factor of 35 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8263859 plus -4?\nAnswer: -8263863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (34 - -7) + (5 - (1 + 1)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -957772\nAnswer: -3\/957772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -53252?\nAnswer: 53254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3009229 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxkxxskxkxxk.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 174611.36 to the nearest one thousand.\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 8*o + 396. Let h = o - 40. Solve -h*k + 2*k - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48435 and 9105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3\/6 - 5*g**2\/2 + 10*g\/3.\nAnswer: -5*g*(g - 1)*(g + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -5*o**5 - 1835*o**4\/24 + 125*o**3\/3 - 2019*o**2. Factor a(b).\nAnswer: -5*(4*b + 25)*(15*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 7*m - 6. Suppose -5*o = -3*o - 6. Suppose 5*u + 24 = -2*h, -o*h - 3*u - 29 = u. Let x(p) = p**2 + 5*p - 9. Let w be x(h). Determine d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928602*b - 928602*b - 92*b**3.\nAnswer: -92*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12189 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 17*g - 4571. Let v(x) = -x**2 + 7*x + 1824. Determine -5*a(j) - 12*v(j).\nAnswer: 2*j**2 + j + 967","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*r - 1821*i - 37*r with respect to r.\nAnswer: 3*i - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105268 is divided by 21006?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-154)\/(-35) - 4 - 18\/(-30). Which is the biggest value? (a) -362 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(11\/(77\/(-35))*58\/(-10))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/7 + 3\/14. Let s = -8490.98 - -8491. What is the nearest to h in 2\/3, -0.3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186\/(-30) + (7 - 1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Let y(v) = -99*v - 3 + s - 32*v. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 30*l + 2. Let g be o(1). What is the first derivative of -13 + g - m**4 - 24 wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -310 in 0.1, -2\/3, 0.0296, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 278*z**4 - 5*z**3 - 4*z**2 - 5764 wrt z.\nAnswer: 1112*z**3 - 15*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 34 = 5*n - 4 - 91, -b + 84 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*t - 3670 = 15230. Sort t, -9, -1\/3.\nAnswer: -9, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1317 = -3*l + 5*i + 110, -6*i = 5*l - 2407. Calculate the remainder when l is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877 is divided by 157.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -7*w**2 - 166749*w - 47642 = 0.\nAnswer: -23821, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806055059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/60 - c**5\/24 - c**3\/3 + 6*c**2. Let b(j) be the first derivative of y(j). What is the second derivative of b(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 3*m + 1. Determine h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 358482 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 2*g - 8*g - 194555 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4, 9 = -4*b + 5*b + 2*r. What is the greatest common factor of 44 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34499861 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/56 or -1?\nAnswer: -15\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1899 + 1123 + 861)*(4 - 2 - f - 1).\nAnswer: -3883*f + 3883","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 5181*m + 51913. Calculate o(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3372*g**2 - 3365*g**2 + 10104*g**2 - 3368*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2156)\/sqrt(4) + 0 + sqrt(1584))**2*3.\nAnswer: 570*sqrt(11) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-6)*156\/(-66)*-33\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/7 - 15784*i - 220968\/7 = 0 for i.\nAnswer: -55242, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from saaojj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 772393773370 - 772393702565.1989877. Let c = 70798.101 - j. Let p = -6.7 - c. Round p to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126262, 252521, 378780?\n\"Answer: 126259*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 39 (c) 2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*g + 2 = 10, -3*r + 3*g = -6. Let i be (-2)\/(-2 - (-5)\/r). Let v = 149 + -153. Is v at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4841193?\nAnswer: 3, 7, 269, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcddhocjjjdjjcd. Give prob of picking 1 o, 1 d, and 1 k.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-20)*(-2 + 107). Let s be (-1)\/(-3)*2 - 140\/r. Suppose 0 = -2*i + s*i - 18. What is the smallest common multiple of 10 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 - 3) + 3 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -65*s + 66*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 6*o - 23. Let d be j(-6). Let a = d - 14. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - 67 - (-5 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -92, -183, -274, -365?\n\"Answer: -91*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 39, 42, 47, 54?\n\"Answer: f**2 - 2*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8634483\/100 + -86344. Calculate the common denominator of x and 3\/260.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 5*j - j**3 + 5*j - j**3 + 5*j + 16*j**2.\nAnswer: j*(j + 1)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(136) - (sqrt(136) - (sqrt(136) - sqrt(136)*3 - sqrt(136)))))\/sqrt(8) - (sqrt(85)*-3*-6 + sqrt(85))\/sqrt(5)) + 1.\nAnswer: -34*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846\/(-45) - 35328\/3840.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 179*h - 181*h - 14 = 0, 5*h = -20. Solve 42 = m*i + 66 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7840*l**2. Let x(n) = 10*n. Give x(m(s)).\nAnswer: 78400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - 11?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/7, 39, 2\/11, 0.131 in decreasing order.\nAnswer: 39, 2\/11, 0.131, -11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 31. Let i = c + 50. What is the remainder when 37 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29879 divided by 2709\nAnswer: 29879\/2709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1271*s - 91*s**3 + 1271*s)*(0*s - 7*s + 2*s) as h*s**2 + x*s**3 + q*s**4 + m + w*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24133460 (base 8) to base 2.\nAnswer: -10100001011011100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 14*q + 2. Let j be a(-14). What is the second derivative of -j*x + 3*x**2 - 2*x**2 - x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 24 = 3*w, 8694*j - 9 = 5*w + 8692*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 12*x\/5 + 16544\/5.\nAnswer: -2*(x - 94)*(x + 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113 and 5537?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1944 divided by 6?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2772 and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1963*m**2 - 113*m + 16. Let g(y) = 11778*y**2 + 678*y - 101. Let o(i) = 2*g(i) + 13*p(i). What is the second derivative of o(j) wrt j?\nAnswer: -3926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**4\/2 - 8*o**3 - 36*o**2 - 64*o + 716. Determine t so that k(t) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 1\/15*v**5 + 1\/2*v**4 + 4\/3*v + 2 + 2*v**2 + 13\/9*v**3. Solve g(d) = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -757 - -15892\/21. Let u = 71\/231 - o. Which is the closest to 0? (a) 2 (b) -0.034 (c) -2\/3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360\/54*(-24)\/16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*z + 28*z - 302*z + 57*z + 47*z + 57*z + 56*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**5\/60 + t**4\/8 - 5*t**3\/6 - 2*t**2. Let s be (24\/(-15))\/((-4)\/10). Suppose s*y - 3 = -15, q = y + 7. Determine c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + (-2 - 11) - 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let n = 8 + p. Suppose -65 = -2*t - n. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Suppose 0 = 4*m - 6*m + 3*f - g, 2*m - f = -13. Let n(s) = -98*s + 44. Let x(u) = -17*u + 8. Let d(a) = 4*n(a) - 23*x(a). Calculate d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 632, -9.9, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-186*o - 80*o - 381*o + 31*o)*((5*o - 2*o - o)*(7*o - 3*o - 2*o) - 6*o**2 + 3*o**2 + o**2) in the form c*o**2 + b + z*o + n*o**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:09 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6*8\/240)\/(-1))\/((3325\/250)\/(-19)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/47, 12, 0.3, -5, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147)*1*4)**2.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**6\/210 + l**5\/70 - 55*l**4\/84 - 4*l**3\/3 - 4*l + 129. Let a(m) = 0. What is m?\nAnswer: -8, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 14.1. Let l = 0.05856 + 0.04116. Let r = h - l. Round r to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26249463451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1612*h**5 + 1562*h**5 + 0 + 0 - 648*h**2 wrt h.\nAnswer: -3000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**4\/4 - 1563*g**3\/4 + 6345*g**2\/4 + 23571*g\/4 - 14175\/2 = 0.\nAnswer: -525, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -808*k - 104421. Calculate w(-130).\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3105)\/2760)\/(3\/(-40))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 958208.4 meters?\nAnswer: 95820840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*w = -2*m + 24, -13 = -3*m + 2*w. Let f = 40 + -39.9. Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91202176.4 rounded to the nearest 1000000?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.746361888 rounded to 4 decimal places?\nAnswer: 0.7464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let h(x) = -10*x**2 + 10*x. Give h(w) + 10*v(w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 526, 579, 610, 607, 558?\n\"Answer: -2*j**3 + j**2 + 64*j + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4449.\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1008437579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 143*h + 17931. Let y be g(-80). Let r(a) = a**3 - 4*a**2 + 3*a - 5. Let u be r(4). Calculate the highest common divisor of y and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 (base 3) in base 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000151758 to 6 dps.\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/2*(-344)\/(-688)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127661873*l - 183346398?\nAnswer: 127661873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 1 = u. Suppose j = u - 15. Suppose 0 = -0*y + 4*y + x - 37, j = 4*y + 2*x. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + (-1182)\/(-18). What is the highest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27554, -110256, -248092, -441062, -689166, -992404, -1350776?\n\"Answer: -27567*u**2 - u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (1*sqrt(17) - sqrt(17)))*6 - (1*(sqrt(17) - -2*sqrt(17)) - (5 + sqrt(17)*-1)))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 8:54 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -141*q**2 + 9*q**2 - 25*q**2. Let o(m) be the second derivative of m**3\/3 + 13685*m. Calculate l(o(v)).\nAnswer: -628*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2 + 2 + 7. Suppose -b + p = z, -4*z + b - 40 = -8*z. Solve -6*s - z = -s, 0 = 5*d + 4*s + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + y - 42052, -11*y = -a - 8*y + 14004. What are the prime factors of a?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94295\/11556 - 777\/107. Find the common denominator of v and -123\/10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g - 15*g**2 + 3*g**2 - g**2)*(-40*g - 20*g - 38*g) in the form x*g + o + l*g**3 + s*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**(-25))\/t)*t\/t**(12\/5))**(-27))**(-10\/3) assuming t is positive.\nAnswer: t**(-2286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 366, 360, 354, 348, 342, 336?\n\"Answer: -6*r + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56950 and 4.\nAnswer: 113900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 4*k + 1. Let j be v(-2). What is the smallest common multiple of 1092\/24 + j\/(-6) and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/3 - (-1)\/1. Let j(y) = -y**2 - 6*y - 2. Let a be j(l). Suppose -o + 8 - a = -4*u, 4*u - 4 = 0. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-242)\/(-16) - (-5)\/(-40). Let a = k - 13. Suppose a*u - 61 = 9. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 24 = -4*z + b, b + 24 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + (-2 - 0) + 4. Suppose -3*x - i - 2*i + j = 0, 3*i = -4*x + 12. Suppose k + 2 = 3*t - 0, -t + 4*k - 14 = x. Solve t*n = 4*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/28 - 370\/(-35). Let v(u) = -x*u + 20*u - 12*u. Let g(h) = -20*h**2. What is v(g(k))?\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25735335 + -2?\nAnswer: 25735333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k\/k**(-9)))\/k*k))\/(k\/(k**(-4\/15)\/k))*k\/(k\/(k**(3\/25)\/k))*k**(-16)*k)**41 assuming k is positive.\nAnswer: k**(-25051\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3209090 divided by -170.\nAnswer: -18877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4\/7 (c) 0.2 (d) -24 (e) 1501\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from eeeyemepe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 550983883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7856, 7857, 7858?\n\"Answer: z + 7855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(-25)\/10*4. Let l = 351 - x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2790 divided by -6\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 + 8*z**3 - 17*z**2.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1011 + 1004. Let k(x) = -914286*x - 10. Let s(h) = -h + 1. Let n(v) = 2*k(v) + 2*s(v). Let b be n(q). Round b to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1512, 3023, 4534?\nAnswer: 6045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 17*b + 802 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + (-12891)\/1593)*3\/(-2). Let i = 18\/59 - x. Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 10*y**2 - 16*y. Calculate n(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 35871?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105.3 - -112. Which is smaller: o or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26922?\nAnswer: 2, 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 4. What is the smallest common multiple of b and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990279137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 7:20 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 50 + (-22 - -39) + -9 + 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 v when three letters picked without replacement from {k: 1, i: 1, u: 2, v: 1, p: 1, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(135\/(-6)) - 17\/(-5). Solve -q*c + 0*c - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*d, -2*s + 3*d + 0*d = -30. Suppose -3*w + s = 3. Let i = w - 1. Solve 12 = i*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, -2023, -0.5, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 521\/318*3*5\/(-18). Let w = i + 118\/53. Calculate the common denominator of 36\/5 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -151, -177, -145, -37, 165?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0338 from -5.\nAnswer: -4.9662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/7 + 572*a**3 + 18*a**2\/7 - 5148*a = 0. What is a?\nAnswer: -3, 0, 3, 2002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -9180432 less than -27541292\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162837073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0985688 times -4\nAnswer: 0.3942752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.47, -0.008, -0.5, 42?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.032.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 17. Let n be (1 + 1 + -2)\/1. What is the units digit of d(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681777.1 years to months.\nAnswer: 8181325.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -16. Solve 3*b + j*v - 29 = 0, -2*b + 26 = -0*b + 4*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 45 = -15. Let a be ((-2)\/(-5))\/((-1)\/p). Let q = 43 - a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -12211?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 6*p + 5*p)*(-p**2 - p**2 + 4*p**2) + (7*p - 3*p - 3*p)*(p**2 - 2 + 2) - p**3 + p**3 + p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201431 (base 5) to base 6.\nAnswer: -450421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = -2*t, k - 2 = 3*k. Suppose -4*m - 54 = t*c, -m + 2*c - 13 = -5. Is m\/24 - 79\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2455 and 0.3?\nAnswer: 0.07365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -16. Let u = l - 15. What is the nearest to 0.1 in 2\/7, u, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -52. Calculate the smallest common multiple of 1 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32014.6 times 181\nAnswer: 5794642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*d + 30, 2*d + 2 = -6. Suppose -v = -r + 2*f + 5, -r - 3*f = 0. Calculate the remainder when (-1)\/(-1 - 16\/(-17)) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 0.16. Put -2\/11, 0.5, j in descending order.\nAnswer: 0.5, j, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 - 8*x - 2. Let z(w) = -2*w. Calculate z(n(p)).\nAnswer: 6*p**2 + 16*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/(1\/6). Suppose d + 0*d - s = 0. Let z(n) = n + 4. Let w be z(0). Solve -w*u = -3*u + d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7139 (base 12) to base 11.\nAnswer: -9259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 - 3 + 3)*(-2 + 2 + 4)*(-1 + 1 + 3) to o*q**2 + u*q**3 + z*q + s and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105035 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oioiiciijoiowwwc. Give prob of sequence wi.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10002 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f - 10*f - 21*f - 5858 + 51*f in the form r*f + u and give u.\nAnswer: -5858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -304*w - 56. Let x(o) = -16*o - 3. What is -3*r(j) + 56*x(j)?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {q: 1, b: 1, v: 1, o: 1, y: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 152 + -15201?\nAnswer: -15016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-13 + 6) - (-6 + 13 - 16)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (17 - 10 - 10) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - (sqrt(144) + sqrt(144)*-1*1) - sqrt(144))\/sqrt(6))\/(-5*(1*sqrt(648) - sqrt(648)) + sqrt(648)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 434*a + 2. Let c(n) = 3*n**2 + n. Let b(r) = 2*r**2 + r. Let d(v) = b(v) - c(v). Give j(d(o)).\nAnswer: -434*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/6, 0.5, -0.4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, d: 9}. What is prob of picking 4 m?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 858 - 858 = 12*z. Is 1\/1378 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 723 = -111. Suppose -22*k - p = -146. Solve -6 = k*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22254982 plus 5?\nAnswer: -22254977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k**(1\/2))\/((k\/(k**(-9)*k)*k)\/k*k*k**7) assuming k is positive.\nAnswer: k**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/2*20\/6. Suppose 5*o = -25, 2*d = -3*d + 5*o + w. Let l be 1 + d + 2 + 2. What is the greatest common factor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 + 7. Let b be -4 - ((-14)\/21 - 7\/(-6)). Let w = b - -5. Is w <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432642835?\nAnswer: 5, 86528567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2 + 180*a + 6251 = 0.\nAnswer: -133, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -478, -1645, -3926, -7693, -13318, -21173, -31630?\n\"Answer: -62*o**3 + o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18379 divided by -299.\nAnswer: 18379\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16648, -33437, -50226, -67015?\nAnswer: -83804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*k**2\/5 + 138*k\/5 - 2338\/5.\nAnswer: 2*(k - 7)*(14*k + 167)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*a - 32*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575572786 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*k - 2*o - 489, 3*k - 465 = -3*o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.107 and -1035?\nAnswer: 1035.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-24)\/(-15)*(-30)\/(-4) and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 106*c + 8463\/4.\nAnswer: (c - 403)*(c - 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -25*w. Let p(o) = -3*o + 2. Suppose 4*n - 2*a = -24, 2*a = 2*n + 13 + 1. What is the remainder when v(-2) is divided by p(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-9))\/((-1196)\/(-240) + -5). What is the highest common factor of h and 29920?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -487*n**2 + 419*n wrt n?\nAnswer: -974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -922*70\nAnswer: -64540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3027713 is divided by 607?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12\/5)\/(b*b*b*b**10))\/((b*b\/b**(-3\/5)*b)\/(b**(-4)*b)) assuming b is positive.\nAnswer: b**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:26 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/6, 3\/7, 5, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 - 209. What is the closest to -49 in 0, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from jdkeddjakdgeaa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251037366 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -77752 divided by 2163?\nAnswer: -77752\/2163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5079*c**4 - c**2 + 9198*c + 151332312 wrt c?\nAnswer: -20316*c**3 - 2*c + 9198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801294.\nAnswer: 2, 3, 13, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 7*k**2 + 11*k - 16. Let y(l) = l**2 + 5*l + 7. Let q be y(-5). Let t be j(q). List the prime factors of 1\/(-1*((-16)\/4)\/t).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12885100 + 1?\nAnswer: -12885088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13473*y + 13475*y + 13459*y - 67323*y + 13428*y + 13430*y.\nAnswer: -58*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056832049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308.303368 rounded to the nearest 10?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -61*l**2 + 1461*l - 7787. Give p(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/m**(10\/9)))\/m*m)\/(m*m*m**(-1)\/m*m))**(-7\/2) assuming m is positive.\nAnswer: m**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 m, and 1 h when four letters picked without replacement from mmhmcffcffcff.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153965412 rounded to the nearest 1000000?\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 63.2?\nAnswer: 18.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + (1*sqrt(88) - sqrt(88)))\/sqrt(8))**2 + -2*(2 + sqrt(11)).\nAnswer: -2*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -219? (a) 0.1 (b) -24 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 24. Sort s, 1, -3.\nAnswer: s, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244*x + 110*x - 118*x)*(-1 + 4 - 1) + x - 5*x + x.\nAnswer: -507*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 13 = -7435*w + 7436*w + 4, -4*s = -5*w - 51 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.821 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 361. Let r(b) = -10*b - 71. What is r(x(n))?\nAnswer: 10*n + 3539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.261 + 110.261. Let r = 110 - o. What is the closest to -1 in 0.5, -8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 2. Let m(x) = -13*x - 24. Let l(h) = -m(h) - n(h). Let p be l(-2). Solve -r - p*i - 2 = i, 5*i = 3*r - 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 - 8*i + 7. Determine t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 94\/3 - (-1)\/(-3). Let z = 2 + -20. Let j = z + u. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/432 + 251\/15120. Let u(b) be the third derivative of -b**2 - b**3 + 3\/20*b**5 + 1\/8*b**4 + 0 - r*b**7 + 0*b - 1\/40*b**6. Solve u(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -143, 3, 0.4, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.93 - -0.07. Let b = -28.8 + c. What is b rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 16?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 6*w - 6*w)*(-278*w - 398*w + 88*w - 1202*w).\nAnswer: 1790*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 1\/(-1 + 296\/300)*(24 - 25).\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 853.1181 kilometers?\nAnswer: 853118100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16808 and -17.\nAnswer: -285736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 2, p: 1}. What is prob of sequence bypp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662363 is divided by 580.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-21)\/y*y*y**(-6) assuming y is positive.\nAnswer: y**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -5 (b) 0.2 (c) -12048 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, -776, -2527, -4982?\nAnswer: -8141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 872*c**2 - 40988*c + 78520.\nAnswer: -4*(c - 151)*(c - 65)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + (824 - 817 - (2 + 16)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6688 - -9449. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2 - 2. Let s(i) = 3*i**2 - 2*i. Let m be s(z). Suppose x = -2*u + 10, m = 2*x + 2*x. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c**3 + c**2 - 1\/360*c**6 + 1\/6*c**4 - 3*c + 0 + 1\/45*c**5. Factor f(i).\nAnswer: -i*(i - 6)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 5. Let w be k(0). Suppose -2*r + 41 = -5*c, -w*c + 2*c + 15 = 0. Let i = -85 - -90. Solve l = 4*s - 24, 0*l - i*s + r = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38991 - -60633. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/7 (c) -9 (d) -4 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 68.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 113765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + 43*k**2 + 78*k - 126. Is 9 a factor of i(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/505?\nAnswer: -7\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 - -0.4. Let d = -3.829 - 0.071. Let v = d - -2.9. Is v smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 55 - 58 + 4*i - 2*i. Calculate y(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 21. Let h = 22 + -8. Calculate the remainder when (g - -46 - 3)*1 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 33 = -12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 3*p**2 - p. Let c be t(2). Solve -5*d - 10 = -4*y, 2*d + 21 = 3*y + c*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09388156 from -52137.\nAnswer: -52136.90611844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -2.05. Let b = 3\/151 + -764\/453. What is the third smallest value in b, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869602543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Determine h(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -430 - -400. Sort 2, q, -1 in increasing order.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + 21*c**2 + 13*c + 86. Give z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72.9 + -73. Let m = -13 + 18. Let p = -6.9 - -7. What is the closest to q in p, m, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -13*g - 6. Let r be c(-5). Suppose 73 = i + a, i = 5*a + 38 + r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0ca6 (base 13) in base 3?\nAnswer: -122112002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + m - 3. Let x = 11 - 8. Let b be i(x). Let r(h) = 4*h**3 - h**2 + h - 1. Let j be r(1). Calculate the greatest common factor of j and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11650398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 11. Let i be j(9). What is the third derivative of -3*r**5 - 5*r**i + 0*r**5 + 4*r**5 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 - 6 - 1 + 8*r**2 + 3 - 8*r**2.\nAnswer: 4*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044*d**3 + 677*d**3 + 369*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 63*a + 12. Let o be l(-11). What is the units digit of 6\/(-8) - o\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(126)\/sqrt(2))**2*3)*3 + 5 + (sqrt(35)\/(sqrt(5) + -1*sqrt(500)))**2.\nAnswer: 9*sqrt(7) + 46339\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*l - 117 = 86*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*d + 29*d + 161*d + 55*d + 23*d + (-2*d + 0*d + 3*d)*(-4 + 2 + 3).\nAnswer: 312*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:54 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 59, 72, 65, 32?\n\"Answer: -w**3 - w**2 + 37*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 2:31 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 3496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-15)*1*541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 - 17*r - 17. Give n(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 6 = 0. Suppose q*o - 4*h - 129 = 0, -5*o = -0*o + h - 238. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5420*q*u - 41101*q wrt u.\nAnswer: -5420*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 - 1757. Let b = q + 605. Calculate the common denominator of (-3192)\/b - 4\/10 and 97\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-28)\/48) - (-2875)\/230.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 80, -2\/5, 0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2797996 to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, -2\/7, 379, 15, 4 in descending order.\nAnswer: 379, 15, 5, 4, -2\/7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2.7, 0.1, -1380.\nAnswer: -1380, 0, 0.1, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from rrrrrrrrrrrrrrrrprp?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 221 = 5*f. Let q = f + -9. Let y = -25 + q. Let r(t) = -6*t**3 - 2*t**2 - t. Give r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5420 (base 15) to base 12\nAnswer: a379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 3*z**5\/20 - 7*z**3\/2 - z**2 - 234*z. Let m(u) = -3*u**2. Determine v(m(b)).\nAnswer: 81*b**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose -3*n = -7*n + 8. Solve -n*d - 6 = -k*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44442023\/448 - 99201. Calculate the common denominator of m and -3\/152.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjzy when four letters picked without replacement from {y: 1, j: 1, x: 1, z: 2, t: 1, f: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54222283519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 63375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 117156 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -362.525 rounded to zero decimal places?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + 0 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -219*d**4 - 682*d - d**3 + 1562*d + 218*d**4 + 4 as y + b*d**4 + s*d**3 + p*d**2 + k*d and give k.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-1040)\/(-26))*2*65.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 114643614 (base 7) to base 6\nAnswer: 413405440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/(6 + -4). Sort -2, 28, k in increasing order.\nAnswer: -2, k, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 5 (b) 19 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/189 and 41\/91.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 + 114250?\nAnswer: 114132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 + -2 + 57. Suppose i - 2*i + a = 0. What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 70*h**3 - h - 5*h - 71*h**3 + 8*h + 2*h**2 - 12*h**4 to the form p*h**2 + t*h + v + g*h**3 + b*h**4 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 25 = -4*j, -4*j - 8*w + 24 = -4*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14865 = 582*f + f + 408*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1063 from -0.37.\nAnswer: -1063.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3647781 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 18 - (20460\/(-4752))\/(1\/(-3))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let i(q) = -18*q**3 - q - 1. Let h = 5 + -6. Let n be i(h). Solve j + j - n = -u*m, 0 = 2*m - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 25*n + 77*n - 94. Solve 0 = -i - n, 5*v + 30*i = 28*i + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/(-9) - 4\/18. Let r = v + -14. Let q be (-6)\/(-4)*r\/(-3). Solve -q*f = -7*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-4)\/(-2) - 0. Suppose -6 = 2*m, 15 = -5*y - 3*m - 4. Let w be (0\/(1 + 1))\/y. Is w != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -150661\nAnswer: -15066.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t - 1 - 50 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) 0.4 (c) 1\/5 (d) 80\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*t - t. Let q = -8603 - -8609. Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166b8 (base 13) to base 12.\nAnswer: -209b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + sqrt(156)*-1*1)\/sqrt(6))\/((sqrt(20)\/(-2*sqrt(10)) - sqrt(2))*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*3*20\/24?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120 - -1?\nAnswer: 22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/14*(2 - -4). Suppose -m + h - 5 = 0, m - 3*h = -m - c. Let w(q) = -41*q**3 + q**2 - 3*q - 10. Let k be w(m). Round k to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85\/7 - -12. What is the second biggest value in p, 2, -4, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -76. Find the second derivative of -49*q**4 + 6*q**3 - 4*q**2 + 53*q**4 + 4*q**s - 5*q wrt q.\nAnswer: 48*q**2 + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -417.82?\nAnswer: 7938.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22782671 to the nearest integer?\nAnswer: 4773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/14 in -58\/9, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 1\/30*u**6 + 0*u**3 + 14*u**2 - 1\/42*u**7 + 26*u + 5\/12*u**4 + 0*u**5 - 1. What is the third derivative of g(h) wrt h?\nAnswer: -60*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 0.00039 (c) 0.38132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3\/(-3)) + 7. Suppose 0 = -4*y + 4*d + 76 + f, 106 = 5*y - 4*d. 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: Suppose -2*u + 11*p + 837 = 6*p, -1679 = -4*u + 5*p. Let r = u + 118. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*i - 1609 - 2759. What is the lowest common multiple of 14 and i?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g - 219. Let s be k(13). Let r = -358 - s. Solve 8 + 4 = -r*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 25*u**2 + 105*u - 2898. Calculate s(25).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/13 + 50*p**3\/13 - 1986*p**2\/13 - 8514*p\/13 - 6480\/13 = 0 for p.\nAnswer: -45, -3, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 112. Let k = 75 + g. Suppose 5*l - k = -2*h, -4*l + 6*h + 4 = 2*h. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + 6. Let m(p) = 3*p**2 - 3*p - 3. What is the lowest common multiple of -5 + ((-59)\/7)\/(-169 - -168) + 6\/(-14) and m(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*s = -412*s - 14. Let v = -229\/5 + 45. Sort v, 3\/4, s.\nAnswer: v, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*s = -365*s + 2210341000. Round s to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 92, 4, -86, -178, -272, -368?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(-3*s + s + s)*(-5 + 5 - 1)*((4*s**3 - 3*s**3 + s**3)*(-11 - 4 + 12) - s**3 + 5*s**3 + 5*s**3 - 2*s**3 + 3*s**2 - 3*s**2).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8f25e4 (base 16) in base 3?\nAnswer: -122122121210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 33, 64, 97, 132, 169, 208?\n\"Answer: g**2 + 26*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 2 + 12*n - 16*n - 1. Let d be (-1*(-3)\/(-2))\/((-10)\/20). Let b(w) = -2*w**2 - 5*w + 1. Determine d*b(v) - 4*p(v).\nAnswer: 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 times -5763?\nAnswer: 21899.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11825 and 3655.\nAnswer: 201025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -3, 15, 33, 51?\n\"Answer: 18*u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2051, -4339, -6893, -9719, -12823?\n\"Answer: -r**3 - 127*r**2 - 1900*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-514 - -518)\/((1 + 2)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210 a factor of 20814087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 928653380*g*h + 387200331*g + 1 wrt h.\nAnswer: 928653380*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76779 and 214716739?\nAnswer: 8531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - -1*sqrt(720))**2 + -3*sqrt(5)*-6.\nAnswer: 18*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.624 + 0.056. Let z = 0.68 - y. Which is the nearest to -2\/7? (a) -1\/9 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*5.56.\nAnswer: 2.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1153 in decreasing order.\nAnswer: -2, -3, -1153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 11*v**2 + 26*v + 1. Let b be l(-13). Suppose f = 2*u + 9 - b, 4*u + 16 = 3*f. Round f to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)*2\/4. Suppose -d + 4*d - 15 = j, -3*h + 17 = -2*d. Calculate the greatest common factor of 99 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 20 = 3*l. Suppose 57 = -2*c + c - l*q, 3*q = 15. Let g = c - -131. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 22 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -2426003?\nAnswer: -2426004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yeeyeeeee?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7346 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19.3, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**2\/2 - 100335*l\/2 + 301455.\nAnswer: -5*(l - 6)*(5*l + 20097)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1415 (base 10) to base 15.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 247, 556, 989, 1546, 2227?\n\"Answer: 62*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8050 (b) -3 (c) -0.2 (d) 2 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(605) + -2)**2)*-1.\nAnswer: -611 - 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 41. Solve -2 = -k*t + 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 10*r**2 + r + 9. Let q(g) = g - 10. Let c be q(0). Let j be x(c). Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -w, 5*w - 12 = -0*w + 2*x. Suppose -5*f - t + 10 = 0, -2*f = t + 1 - w. Find the first derivative of 6 - 6 - f - 2*q**4 - q**4 wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 42. Suppose -3*w + 10 - p = 0. Is (3*6)\/(9 + w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1587810442.\nAnswer: 2, 881, 901141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 61497349 divided by 5?\nAnswer: 61497349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -373225, 0, -0.2 in descending order.\nAnswer: 1\/8, 0, -0.2, -373225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 18 = -t - 6, 4*t - 8 = 4*v. Calculate the common denominator of -87\/242 and -5 - 10904\/(-2112) - v\/(-12).\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + 0*s**4 + 3*s**4)*(57*s - 32*s - 33*s) + 4351*s**4 - 367*s**5 - 4351*s**4 + (3*s**3 + s**3 - 5*s**3)*(-s - 2*s**2 + s).\nAnswer: -389*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35aba (base 16) in base 3?\nAnswer: 102011120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (-45450)\/234825?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 29. Let d(l) = 2*l + 10. Let k(s) = -8*d(s) - 3*q(s). Let b be k(-2). Which is smaller: b or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281969732 divided by 2311\nAnswer: -122012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*z + 8 - 29 = 0, 5*b = -z - 63. Let a = -8 - b. Suppose -a*f + 0*w - 2*w = -256, -3*f + 178 = -2*w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -0.45. Let x = 0.1 - j. Let w be ((-6)\/(-20))\/((-12)\/(-10)). Which is the second smallest value? (a) x (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let k(u) = u. Let i(m) = 2*m. Suppose -q = 3*q + 2*h + 16, 0 = 5*q - 5*h + 5. Let v(b) = q*k(b) + 2*i(b). Calculate g(v(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 276*v + 13585. Give q(-214).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 8655*f**2 + 34680*f - 34700.\nAnswer: -5*(f - 2)**2*(f + 1735)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/70*8*7\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1714276.9*10.\nAnswer: -17142769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 3*a. Suppose -8 = 2*i - 4*i. Let w be q(i). What is the common denominator of 17\/10 and (-453)\/(-189) + w\/14?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u + 29 = -3*x, -4*x = -20. Suppose 145 = 5*n - 5*t, 30 = n - 4*t + 2*t. What is the remainder when n is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4021, 564, -5197, -13262?\n\"Answer: -1152*b**2 - b + 5174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/67)*q*q**(-8)*q*q assuming q is positive.\nAnswer: q**(-337\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o**(-2\/9)*o))**(-3)\/(o*o\/(o**(1\/2)\/o)*o)**(-20) assuming o is positive.\nAnswer: o**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 3*t - 96 = 0. Suppose -t = 4*d - 56. What is the remainder when ((-48)\/(-20))\/((-4)\/(-30)) is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(78)\/(sqrt(1050)\/sqrt(7)).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**5\/20 + r**4\/24 - r**3\/6 - r**2 - 5. What is q(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6 and -37\/15397065.\nAnswer: 30794130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + l + 6. Let r = 13 + -48. Let n = r + 32. Is y(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1503 = -3*y, 0 = -0*y - 2*y + s + 993. Suppose 4*w - 126 = -2*w. Calculate the remainder when (-1)\/4 + y\/8 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-3)*0\/(-3). Suppose 0 = -3*u - 11 + 56. Suppose -5 = -5*j + u. Sort h, 2, j in increasing order.\nAnswer: h, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311\/(-622) + (-51)\/(-110)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14100 is divided by 1461.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/10 + -1 + -1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8559576121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 8*r - 5. Let j be v(6). Suppose -2*n = -16 + 50. Let k = n - j. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7103 - 1484. What are the prime factors of d?\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8276.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(125) - (sqrt(125)*3 + 3))**2 - 1*(-3*sqrt(125))**2)*-5.\nAnswer: -300*sqrt(5) + 3084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*j - 1 - 22, 3*j - q = -162 + 164 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7242 by 2.\nAnswer: -3621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f. Let a(l) = 45*l + 15*l + 935 - 935. Determine a(x(m)).\nAnswer: -300*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 152041508 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*j - 3*x, 3*x - 71 - 7 = -j. Suppose -j = -5*v + v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -844*a**3*c**3*n**2 - 2*a**3*c**2*n**2 + 1413*a**2*c**2*n**2 + a*n**2 - c**3 wrt c?\nAnswer: -5064*a**3*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-1 - 2) - -17) + 0. Let a(s) = -s**3 + 22*s**2 - 21*s. Let u be a(v). Solve -t = -u*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 893*u**2. Let y(j) = -197*j - 191*j - 191*j + 582*j. Give y(i(g)).\nAnswer: 2679*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltlltlt. Give prob of picking 2 l and 1 t.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*x + 1314 = 0, 2*y - 5*x - 376 = -1645. Let v = y - -935. Let t = v - 551\/2. Find the common denominator of t and 29\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(1890\/(-720))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = p + p, -2*p + x = -4. Let g = -102 + 100. Put g, -5, -4, p in ascending order.\nAnswer: -5, -4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 53 = -12. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 10.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooeoeoeoo. What is prob of sequence oo?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12211 (base 3) in base 6?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v + 7*v + v + 15. What is r(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + 4 - 5)\/1 + 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(4))\/sqrt(2) - (sqrt(14) - sqrt(126))\/sqrt(7)) + 0.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 59) + 57 + (2 - 96).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 42094 and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -42*j - 31. Let w be b(-1). Suppose 2*p - 14 = -4*s, -2*p - 4*s + w = 3*p. Let a = 3 - 2. Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1779*a + 1810*a + 2*a**3 - 19*a**3 - 3589*a.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 33*r - 56. Sort -3\/4, r, -2, -23, -4 in increasing order.\nAnswer: -23, -4, -2, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6294349kg to nanograms.\nAnswer: 629434900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.5 or 0.7158187?\nAnswer: 0.7158187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 101442.8 and 87227332?\nAnswer: 87125889.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 36\/(-8))\/(12\/248).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13036017263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 39*m - 44. What is the tens digit of (-1 - 2)*10\/m*-26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/504 and -59\/10528.\nAnswer: 94752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/18)\/(((-301)\/215)\/(63\/(-10)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/7 - 1019324*i**2\/7 - 2038654*i\/7 - 1019328\/7 = 0?\nAnswer: -1, 509664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(2*sqrt(4)) + (sqrt(15) - -2*sqrt(960)))\/(sqrt(9)\/(sqrt(18)\/(-4*sqrt(6)))).\nAnswer: -35*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cztb when four letters picked without replacement from {c: 2, k: 2, b: 1, t: 1, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 + 2061\/5. Which is greater: h or -5\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154*-0.2.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (1 + 12) - 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1\/6*i**4 + 58 - 2*i**2 + 1\/2*i**3 + 0*i. Let n(t) = 3*t**2. Give n(s(m)).\nAnswer: 48*m**2 - 72*m + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/9 - 35786*p**2\/9 - 680488*p\/9 - 1003072\/3 = 0.\nAnswer: -12, -7, 17912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 755675.3 rounded to the nearest one hundred?\nAnswer: 755700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 - 2*k - 1. Let n be j(2). Let t be 206\/6 - 6\/n. Suppose 5*o - t = -0*o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2688 = -2685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1162 and 308?\nAnswer: 25564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 9*o - 2*o - 34 + 34.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -80335738088 - -5?\nAnswer: -80335738083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*j + 6 + 6 = 0, -5*a = -5*j + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -748. Determine j, given that a*j + 3*j**3 - 7*j**3 + 0*j**5 - 761*j - 8*j**4 - 4*j**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447846 = -12*q + 3*u, 6*q = 5*q + 3*u + 37304. What are the prime factors of q?\nAnswer: 2, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 76*h + 112. Let t(g) = -2*g + 139. Determine u(t(r)).\nAnswer: -152*r + 10676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-45)*-395 - (1 + -2). Let q = 161 + g. List the prime factors of q.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3740 + -67343\/18. Find the common denominator of v and -55\/92.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -j + 4*y - 7, 0 = 2*j - y - 1. Suppose j = -w - 40. Let t = w + 49. Solve 0 = -t*p + p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 17 = -2*b + y, -5*b - 5 = 3*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 11*o + 6. Let i(d) = 7*d**2 - 17 + 25*d + 7*d - 2*d**2. Let n(c) = 3*i(c) + 8*w(c). Let s be 3\/((-18)\/(-12)) - -6. Determine n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 + 29*u + 70. Let s be x(-2). Which is greater: -66\/181 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*-2*sqrt(1872) + sqrt(1872)))\/(sqrt(144) + (-5*sqrt(144)*-2 - sqrt(144)) - (sqrt(144)*2 + sqrt(144))*4).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21976 - 21957. Calculate the greatest common factor of 3439 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(4 - 2 + 1)*(-4 + 3 + 10)*((i + 0 + 0)*(18*i + 16*i + 2*i) - 5*i**2 - i**2 + 4*i**2 - i + i - i**2) in the form r*i + v*i**2 + g and give v.\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 729577 to the power of 1\/2, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.8 + -7.8. Let h be (-264)\/4 - (-2)\/(-1). Let v = 342\/5 + h. Which is the nearest to t? (a) 5 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 13669838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a*a*a*(a**(-1\/5)\/a)\/a)*a)\/(a\/(a*a**(-4))))\/((a*a*a**(1\/7))\/a**(4\/7)) assuming a is positive.\nAnswer: a**(-83\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2012369 and 18196.\nAnswer: -1994173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhuuuhhhhruhhhhhhru. What is prob of picking 1 h and 2 r?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 3*c - 7. Let o(m) = -m + 1. Let j be o(-4). Let k be 2 + j + 0 + -1. Is n(k) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136442 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**5*i)*i**(-6)*(i*i\/(i**(-2\/5)*i))**(-16))**(-4\/23) assuming i is positive.\nAnswer: i**(668\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15409480 is divided by 18521.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (638\/(-6) + (-10 - -14))*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7220, 7600, 8026, 8504, 9040, 9640, 10310, 11056?\n\"Answer: l**3 + 17*l**2 + 322*l + 6880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1322*f + 2465*f - 1108*f + 198246 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081639034 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -9, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*g - 371*g + x = 37, 45 = -3*g + 3*x for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206120.\nAnswer: 2, 5, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18334, -36260, -54186, -72112?\nAnswer: -90038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6658548 - -849.8\nAnswer: -6657698.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1218 and 26187.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1254 and 374.\nAnswer: 21318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -319*w**2 + w - 1. Let g(v) = -80*v + 67*v + 12*v. Calculate f(g(d)).\nAnswer: -319*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 18*f**2 + 22. Let o = -20 - -38. Let s be l(o). Calculate the greatest common factor of s and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 743. Let k(h) = 2*h. Determine k(m(p)).\nAnswer: 2*p**2 - 1486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 2*f**2 - 2*f**2 + (2 - f - 2)*(0*f + 0*f - f**2) - 4*f**3 + 6*f**3 - 4*f**3 - 507*f**2 - f**3 + 1796*f - f**3 - 1799*f.\nAnswer: -4*f**3 - 507*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -290, -561, -842, -1139, -1458?\n\"Answer: -r**3 + 4*r**2 - 272*r + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2\/9*v**5 + 46\/9*v - 16\/3*v**3 - 44\/9*v**2 + 0 + 44\/9*v**4 = 0.\nAnswer: -23, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -3*h**3 - 980. Let p(v) = -2*v + 13. What is n(p(b))?\nAnswer: -36*b**2 + 468*b - 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h**4\/2 - 4299*h**3\/4 + 12309*h**2\/4 - 12113*h\/4 + 4005\/4 = 0. What is h?\nAnswer: 1, 4005\/98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 24 = 5*u + 4*t, 0 = -5*u - 4*t + 28. Suppose 36 - 305 = -233*f + 896. Sort f, -1, u, 1 in descending order.\nAnswer: f, u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, g: 1, l: 11, v: 2}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160617.\nAnswer: 3, 37, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -1\/3*m**3 - 7*m + 0*m**2 + 0. Let w(f) = 0*f - f + 4*f. What is w(u(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46\/13, -4, 4, 9, 18.4?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 477*b**2 + 2*b**4 + 283*b**2 + b + 4*b**4 - 3*b**4 - b**4 to the form j*b**3 + h*b + u*b**4 + k + n*b**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x + 1 - 9 + 16 as b*x + j and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*x = -4, 28*p - 24*p + 2 = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.4. What is the third smallest value in 8, -0.1, t?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16123946.\nAnswer: 2, 173, 46601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13325 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(475) - (sqrt(475) + 4 + sqrt(475))) + 2 + 4.\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187 + 143. Let i(w) = w - 167. Let l be i(0). Let c = z - l. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44.581859 and 0.6.\nAnswer: -43.981859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1612*h. Let q(g) = 7040*g**2 + 1. Determine z(q(d)).\nAnswer: 11348480*d**2 + 1612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28641656 is divided by 28641646.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzloslyz. What is prob of picking 1 y, 1 l, and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16 = -6*u + u, -5*u - 2*i + 17 = 0. Let p(y) = 404*y**3 + 3*y**2 + 2*y - 4. Is p(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257*-0.3\nAnswer: -77.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1782) - sqrt(1782))\/sqrt(2)*3 - (sqrt(363)\/(sqrt(11) + sqrt(22)\/sqrt(2)))\/(sqrt(432) - sqrt(27) - sqrt(27)).\nAnswer: -973*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-20)*55\/(-44)*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + 2) - (28 + -22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3112*a + 13. Let m(z) = 9352*z + 36. What is 4*m(t) - 11*w(t)?\nAnswer: 3176*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 + 3*x**2 - 2*x - 4. Determine j(-4).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-26))\/((-2)\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68856287 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 1275 = -4*k. Suppose 5*l + 113 = 2*q - 4, -4*q + 3*l = -k. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddda when four letters picked without replacement from dadddddaaddada?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -232.7 times 78\nAnswer: -18150.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/3044834 and -83\/182.\nAnswer: 21313838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/7, 0.2861, -4, -1, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 2*y. Let r = -6 + y. Suppose r = -3*s + 13 + 26. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Suppose 2*d - 4*x - 20 = d, s*x + 20 = 2*d. Is 3 + -2 + 41 + d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047705266 to the power of 1\/3, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 50 - ((390 - 381) + 0 + 19)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207 - -0.34.\nAnswer: -206.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3649 - 3630. Calculate the greatest common factor of 18677 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + -6 + 8)*1\/(-26). Let g(n) = -4*n + 3. Let y be g(2). Which is the nearest to -1? (a) y (b) 2\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58084 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d - 7*d - 3*d + 3*d. Let f be p(-1). Is (-6)\/21 + 219\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532855 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/3 + 180940*y\/3 + 4092410450\/3 = 0?\nAnswer: -45235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w + 1. Let x(y) = -30*y**2 + 33*y - 33. Let q(m) = 66*l(m) + 2*x(m). Let n(d) = -47*d + 95*d - 45*d - 3 + 3. Give q(n(t)).\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + h + 8 = 0, -4 - 2 = -3*g - 4*h. Suppose 81 = 3*p - 5*w, p + g*p - 81 = 4*w. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1059967 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-7 - -15) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2)\/u*u*u\/u**8*u**0*u**(-5) assuming u is positive.\nAnswer: u**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let g be (3 - 5 - -2)\/(3\/(-1)). Let d(n) be the third derivative of 0*n**3 - 3*n**2 + g*n + 0*n**4 + 0 + 1\/20*n**5. What is k(d(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397*p + 547*p + 378*p + 404*p.\nAnswer: -68*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1.15.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00616 rounded to four decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -972*l**4 + 385*l**2 wrt l.\nAnswer: -23328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 102. Let c = 3.0109 - m. Round c to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 41*g**2 - 8*g + 44. Is h(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-425)*40\/(-36)*(-3)\/(-5).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 divided by 3402674.\nAnswer: 155\/3402674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - o**3 - 2*o - 3 + 3*o**2 - 4*o**2 - 1. Let j be x(-3). Suppose 0 = j*a - 4*a + 1400. What is a rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27913.5*1\nAnswer: -27913.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7460*v**3 - v**2 - 1. Let q be g(-3). Let p = -15510322\/77 - q. Let x = p + 18\/7. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203082?\nAnswer: 2, 3, 11, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42475 - 42475.5. Put 5\/43, l, 5 in descending order.\nAnswer: 5, 5\/43, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37189 is divided by 12391.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 0.0609?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 777 and 21867?\nAnswer: 153069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49820 divided by 12455?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 229265 - -2?\nAnswer: 229267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-15)*30\/(-12). Let b be -1*4\/2 - -5. Let c be 11\/1 - (14 + -11). Solve b*a = c*a + 5, n*a + 12 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5025234332 - 2?\nAnswer: 5025234330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -104*t + 451 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3 + r**3 - r**2 - r**6 - 5*r**2 + 18. What is the second derivative of h(y) wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from {p: 7, v: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(84)\/sqrt(3))\/sqrt(4) + 1 + sqrt(112) + sqrt(42)\/(sqrt(18)\/sqrt(3)*1))**2.\nAnswer: 12*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:22 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let k = -0.1 + j. Let n be (-1)\/3 - (-3)\/3. Which is the third biggest value? (a) n (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.3 - 8.3. Which is the fourth biggest value? (a) 4 (b) 2\/15 (c) 0.1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91 plus -12812800.44?\nAnswer: -12812799.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293 - 314. Suppose -y - 2*y = q + 4, -4*y - 8 = 0. List the prime factors of 32\/(q\/3 - 7\/z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(3\/13) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 6*s - 270 = -28*s. Calculate the greatest common factor of s and 3585.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -459769\/4 + 114944. Let 1\/4*p**2 + 3\/2 + b*p = 0. What is p?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 1 - sqrt(24)\/(sqrt(32)\/sqrt(4) + sqrt(8)) - (sqrt(12) + -4 + (sqrt(12)*2)\/sqrt(4)).\nAnswer: -sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 8046\/693 + ((-17)\/17 - 11\/(-7))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - k + 18, 49 = 5*c + 3*k + 15. Let a(f) = 11*f + 3. Let m(l) = -5*l - 1. Determine c*m(x) + 2*a(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815425.\nAnswer: 5, 152617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + 1 - (((sqrt(17) + (sqrt(153) - sqrt(17)))*4 - sqrt(17)) + sqrt(17)))**2*-3.\nAnswer: -6183 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601622 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -735*v**5 + 588*v**4 + 1887*v**3 - 588*v**2 - 1152*v = 0. Calculate v.\nAnswer: -1, -32\/35, 0, 1, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzzzzzlzlzz. Give prob of picking 2 z and 1 l.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/45 + 4*g**4\/27 - 2*g**3\/9 - 2*g + 8. Determine y so that j(y) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8045821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97803.\nAnswer: 3, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1001110110100010111?\nAnswer: 1001110110100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4139838382 to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -249*a**3 + 11*a**5 - 11 + 440*a**3 - 16*a**4 + 385*a**2 - 245*a**3 - 12*a**5 wrt a?\nAnswer: -60*a**2 - 384*a - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 1. What is the third derivative of 10*o**5 - w*o**5 - 13*o**2 + 0*o**2 + o**2 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c - 19*c - 11*c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 4*n - 5*s, -4*n - 5*s - 8 = -s for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 224*h - 93\/2*h**2 + 7\/3*h**3 + 0. Find the first derivative of i(l) wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 + 38 + -162 - 97\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5452)\/(-611))\/58*130.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let o be m\/6 - (-7)\/2. Suppose -159*b = 39 - 516. Solve 5*a - 19 = b*s, 2*a - o = -0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5853, -11708, -17563, -23418?\n\"Answer: -5855*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1\/f)\/(f*f**(1\/6)\/f)*f**(3\/7)*f**(-5) assuming f is positive.\nAnswer: f**(-157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = 4*m. Suppose -k = m - 6. Suppose 5*f = -4*q + 64, f - q + 5*q = 0. What is the greatest common divisor of k and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290338 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 19, w: 1}. What is prob of sequence ttw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 1, -1675 - 1052 = -2*s + 3*i. List the prime factors of s.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -376*k + 2541. Calculate z(7).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 30 + 2274 = 0. What is the lowest common multiple of 21 and a?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/15 + (-423)\/(-135). What are the prime factors of -1 + c - (-3 - 80)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17281 and 5051581.\nAnswer: 5068862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - -30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 + 961*x**3\/3.\nAnswer: -x**3*(x - 961)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691*i + 34*i - 843*i.\nAnswer: -1500*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.71 - 0.29. Let i be (2\/(-30))\/(1\/3). What is the second biggest value in -0.1, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4592\/56)\/(5 - 7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.035 - -0.495. Let t = b - 0.13. What is the closest to 1\/4 in t, -1, -2\/23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4\/3 (c) -5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 + 2*y**2)*(-2*y**2 + y**2 - y**2 + (2*y - y - 3*y)*(2*y + y - y) - 13*y + 8*y**2 + 13*y)*(-4 + 1 + 2).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 4441204032?\nAnswer: -4441204042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*v + 182*v = 14. Let x be 2\/8 - (-38)\/8. Let t = 0 + x. Sort -3, t, v.\nAnswer: -3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (48 - 46) - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2304226, 4608532, 6912838, 9217144?\nAnswer: 11521450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 20*h**2. Let o(r) be the first derivative of 12*r**2 + 93. Give t(o(c)).\nAnswer: 11520*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1867\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 42*s**2 + 4*s - 70. Let t be h(21). Put 6, t, 4 in decreasing order.\nAnswer: t, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((-7)\/(-112)*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 157.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 124 = 646. Let p be (0 - -1)*(i - -3). Let u = 1922 + p. Round u to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*g + 16 + 12, g = a - 9. Let o be (4\/g*-12)\/((-24)\/2693200). What is o rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/6329935 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 10*x - 7*x, 4*x - 4 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3, 0.5, 2\/13, 5\/3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-97)\/(-15) + -2 + 1. Let d = 14\/3 - c. Let f = 2\/25 + 21\/50. What is the nearest to 0 in d, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 2 + 0 + -2047 + 2058.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {i: 2, c: 1, k: 1, g: 6, a: 9}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + 24\/60. Let b(x) be the second derivative of 0 + 1\/6*x**4 + u*x**3 - x**2 - x. What is the derivative of b(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 2, a: 4, d: 2, t: 3, n: 8}. What is prob of sequence aka?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**3 - 21*w**2 + 14*w - 16. Let o(i) = 4*i**3 - 10*i**2 + 5*i - 8. What is 2*j(t) - 5*o(t)?\nAnswer: -6*t**3 + 8*t**2 + 3*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.05943+1073.25\nAnswer: 1073.19057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + 1 + -11 + 1) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:57 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200321031111 (base 4) to base 2.\nAnswer: 100000111001001101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169055 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146812 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6776) + sqrt(6776)*1)\/sqrt(8).\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -k. Solve 5*f + 4*d = -6, -2*f + k*d + 9 = -11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/1 - (6 + -5 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10332203 (base 4) in base 7?\nAnswer: -113303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 56. Let p be (-66)\/55*(-3)\/(3*o). Let u = 0.9 - 1. Which is the closest to -2\/7? (a) u (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*4 - sqrt(117)*-4.\nAnswer: 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 248378.001883?\nAnswer: 248378.301883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 6*i - 8. Let g(y) = y**2 - y + 1. Let w(n) = 2*g(n) - r(n). Let s be w(-9). Suppose -7 + s = -z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -51*o + 23. Let m be x(-6). Is (-5285)\/(-9) + (5 - m\/63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*u + 2, 120*t - 116*t + 8 = -4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11670 by -277.\nAnswer: -11670\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 6. Let w be (-2)\/(-5 - k) + 183. Is -1 + w + -14 + 15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5615 (base 15) in base 12?\nAnswer: -a685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*q**2 + 2 + 247*q**2 + 106*q**2 + 516*q**2 to k*q + r + h*q**2 and give h.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -7. Suppose -3*c + 5*c = -4. Suppose 4*o - 13 = 3*m, 23 = -m + 4*m + 5*o. What is the smallest value in c, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56028255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4812544 and 49\/156407680?\nAnswer: 312815360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/48 and 73\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 683536 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1, -2\/3, 180.\nAnswer: -1, -2\/3, -2\/9, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {e: 4, z: 1, f: 1, b: 1, j: 5, h: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y**2 + 2*y - 12. Let v be r(8). Let n = v - 4. Solve n*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 5) to base 2.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.05842 + -944820?\nAnswer: -944941.05842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -7. Calculate the smallest common multiple of 16 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1135 = 50. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -27*h**2. Let p(w) = 617*w**2. What is d(p(r))?\nAnswer: -10278603*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 - 18*o**2 - 103*o - 214. Let g be y(-5). Solve -350 - g = 64*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -8. Suppose 4*i - 11 = 5*x, -3*i - 5*x = -0*x - 17. Suppose -3*u + 9 = 0, -i*u + 1 = 5*l + 4. Sort 4, d, l in increasing order.\nAnswer: l, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 120\/176 - (-8)\/(-16). Sort -8, 3\/5, i.\nAnswer: -8, i, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -115*r. Let c(w) = 306584*w - 306584*w - 8*w**2 - 12 + 12. What is c(x(z))?\nAnswer: -105800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 34, 24, 12?\n\"Answer: -l**2 - 5*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7895265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-1 + -12)) + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c - 5. Let d be i(3). Calculate the smallest common multiple of (d\/(-2))\/((-4)\/8) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 94860*v - 284625 = 0 for v.\nAnswer: -18975, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 0*o = 576. Let c(i) = i + 9. Let k be c(-6). Suppose 352 = k*z + 2*f, 2*z - 325 + 89 = -f. What is the greatest common factor of o and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*y = 13*y - 150149 - 365639. Calculate the highest common factor of y and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83155286645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -14*s**3 - 5*s**2 + 2*s + 5. Let h be z(-5). Let r = h + -662. Suppose 4*b - r = -4*a - 98, -b - 3*a = -211. What are the prime factors of b?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*q + 20, 21*j - 5*q = 23*j - 28. Solve v + j - 7 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -4\/7, -4, 4.8, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 1676*k**2 + 40576*k + 38896.\nAnswer: -4*(k - 442)*(k + 1)*(k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17570\/(-753)*(1\/(-2))\/((-7)\/60).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 2*y**2 + 577*y + 48. Let q be p(-23). Let m = 1 - -3. Solve -m*a = -4*f, -f + 3 = q*a - 2*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*y = -20, -4*a + 3*y = -2*a - 8. Suppose -15039994 = -4*b - 2*j, 4852340 = a*b + 3*j - 10187651. Round b to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 691 - 690.977. What is the fourth biggest value in -3\/2, -1\/6, 3, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/5*k - 18\/5 - 2\/5*k**3 - 22\/5*k**2.\nAnswer: -2*(k + 1)**2*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65388715 times 3?\nAnswer: 196166145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 57 = 71. Calculate the highest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 2639472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i**2 + 501*i - 6. Let l(b) = -9*b**2 + 334*b - 4. Calculate -8*l(p) + 5*y(p).\nAnswer: 2*p**2 - 167*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 2*s**2 + 2. Let c be (-2)\/2*0\/(-2). Suppose 0 = -5*u + 10, c = 5*m - 2*u - 6. Is p(m) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a + 3. Let y = 1156 + -1164. Let x(o) = -15*o - 4. Let h(z) = z - 1. Let p(m) = -4*h(m) - x(m). Give y*n(c) + 3*p(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062621 is divided by 1062338?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 8*h + 8. Let c be x(-7). Let u = c + -182. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -492. Let j be (-43 + -24)\/(1\/(-2)*1). Suppose 4*y - j = l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -357, -337, -279, -183, -49, 123?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -13 (b) -4737\/5 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 7707, 28084, 68295, 134952, 234667, 374052?\nAnswer: 559719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*i - 2672 - 5111 = 2876 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -48?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 1. Let n be p(-2). Let s(y) = y + 2 - 6*y + 5 - n. Calculate the remainder when 43 is divided by s(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19901435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534 - 184 - 162 - 319*f - 188.\nAnswer: -319*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.021034 and 0.3.\nAnswer: -0.0063102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(176) + 3 + sqrt(176) + -1 - sqrt(176)) + sqrt(176)))**2.\nAnswer: 800*sqrt(11) + 17700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6*b = b - 1560, -4*j + 1260 = -b. Suppose 61*y + 23 = 62*y + 5*o, 20 = 5*o. Suppose -i + j = y*i. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/5)\/((-1)\/(-10)*(-8)\/12).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1913 = 3*f - 2*o + 356, 0 = 5*f + o - 2595. Solve -f*n + 498*n = -168 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 11*m**2 + 16*m - 14. Calculate the remainder when j(10) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*10\/(-3). Suppose -4*y = -h*y + 4. What is the lowest common multiple of 22 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1081*v - 5. Let n(u) = 2163*u + 11. Let d(p) = -7*i(p) - 3*n(p). Let b be d(1). Suppose -x + 5*x = -5*q + b, 0 = -2*x - 3*q + 542. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 470 and 97810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {m: 3, i: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 255 = -417. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 6*t**2 - 4*t - 8. What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 4*m**2 + 4*m + 5. Let f be a(5). Let q = f - -2. Suppose 0 = q*b + b - 45. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*z = 266, -3*n + 2*n + 5*z = -106. Let h = n + -87. Suppose -5*i - 12 = -2*i. Sort -5, h, 3, i.\nAnswer: -5, i, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16058195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8500 - 418 - 1334 - 792 - 791 - 1952)*(14 - 4*t - 14).\nAnswer: 55148*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.5, 1\/6, 6, 1\/5.\nAnswer: -8.5, 1\/6, 1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y + 4*y + y + 4 + y**2 + 3*y**3 - 21*y = 0. Calculate y.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-3)\/27 - 0). Let j(q) = 5*q**3 + 4*q**2 - 6*q. Let k(m) = -11*m**3 - 9*m**2 + 13*m. Give v*j(a) - 4*k(a).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -77*f + 71*f - 30, 0 = -2*f - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-8)*(1*90\/(-615))\/(6\/(-2))?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v + 329 = -4*p, -2*p - 5*v = 151. Let d be (2926\/57 + 4)*3\/(-2). Let a = d - p. Solve a = -6*b + b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 + 159*z**3 + 2508*z**2 + 10956*z + 13104 = 0. What is z?\nAnswer: -26, -21, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*b, 3*b - 3*q = 13 + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/15, 487\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j. Let z be 45\/(-6)*(-4)\/6. Suppose -z*w = -0*w - 20. Solve j*r + w = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(-12 + 4) - 9\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -6*c - 3*s + 5, 0 = -2*c - 2*s + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -5, -112, 8, 1, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((33 - 66) + 74)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*r**2 + 144*r**2 + 170*r**2 + r - 3*r.\nAnswer: 145*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u - 98. Let b be m(-22). Suppose b*n - 4*k = 39*n - 22, -2*n = -5*k + 11. Solve 7*i - 16 = -s + n*i, 12 = 3*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w - 7*w + 11 - w**2 + 2*w + 23. Let f be m(-15). Let q(k) = k**3 - 4*k**2. What is q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-4 - (32 - 41))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*r + 3513. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Is 0.1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, -0.1, 2, -2\/37 in ascending order.\nAnswer: -104, -0.1, -2\/37, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 2*l**2 - 4*l - 2. Let v(y) = 3*y**3 + 5*y**2 + 13*y + 7. What is 2*v(f) + 7*z(f)?\nAnswer: -f**3 - 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15)*8\/(-12)*(-90)\/(-54)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -1\/15*p**5 - 1\/3*p**2 + 0*p**4 + 2\/9*p**3 + 3*p + 1\/45*p**6 + 0. Factor o(x).\nAnswer: 2*(x - 1)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -12 - 8. Let l(i) = 5*i**2 + 10*i + 3. Let n(g) = 5*g**2 - 9*g - 5*g**2 - 3 - 4*g**2. Let a(d) = -3*l(d) - 4*n(d). Determine a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -26. Is q > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 5, -4\/7, -3036, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -54*z - 578. Determine k(-8).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2. Let z = 1 - 0. Let s be ((-1)\/(0 - -1))\/z. Let f(h) be the second derivative of h**5\/5 - h**4\/3 - h**3\/3 - h. Give s*f(t) - 5*c(t).\nAnswer: t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a - 51*a + 60*a.\nAnswer: 49*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/374 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 + 45*r**2 - 81*r + 30.\nAnswer: -3*(r - 5)*(r - 2)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559 is divided by 258?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -282, -1110, -2752, -5478, -9558?\n\"Answer: -45*a**3 - 2*a**2 + 37*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-12 + (-310)\/(-20)). Which is the closest to n? (a) 1 (b) -46\/3 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-2\/21)))**(-6)\/((g**(7\/3)\/g*g)\/g**9) assuming g is positive.\nAnswer: g**(152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54625 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5290383 divided by 10731\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m**(15\/2)*m)*m\/(m**(-32)*m) assuming m is positive.\nAnswer: m**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7046856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 31*n - 53. Let y be x(-29). Solve 0*w + y = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((36\/126)\/((-10)\/115))\/((-3)\/(-21))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 188*u - 192*u - 4*c + 704, 3*c = 15. What is the remainder when 334 is divided by u?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 10) in base 6?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384346 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or 52409?\nAnswer: 52409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916 by -226023.\nAnswer: 4\/987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*t = 18, 2*l - 6*l - 2*t + 24 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 443520 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002989024 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14563 - 56102?\nAnswer: -41428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -13873, 4, 17 in decreasing order.\nAnswer: 17, 4, -1, -4, -13873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - o = -6*o, 2*y = -4*o + 6. Let f be (-4)\/y*(-2)\/(-4). Which is bigger: f or 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4820806 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 1, 127?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7245684 rounded to the nearest 100000?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -957*n - 3263. What is the hundreds digit of j(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 16513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (17 - 18)) + (-17 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 70. Suppose 5 - a = -3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-7) - 10)*(-4)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:27 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/(-18)*(-8)\/(-10). Suppose t + 7 = -2*j, j = 2*t - v*j - 7. Let h = 0.01 + 4.99. What is the nearest to 0 in h, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(96) + -3 + -4*sqrt(5)*1 + -1.\nAnswer: -15*sqrt(5)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0354786394 and 4.\nAnswer: -0.1419145576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 1, o: 1, h: 1, d: 5, x: 6}. What is prob of picking 1 o, 1 g, and 1 x?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n**2 + 64*n - 718. What is the tens digit of m(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5116 - -6687. Is t a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2 + sqrt(117))**2 + 0 + sqrt(117) + 1 + sqrt(468) + 0 + (sqrt(234)\/sqrt(2))**2 + 3.\nAnswer: 9*sqrt(13) + 1174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*x - 1. Is x bigger than -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - 1) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -654*r**2 - 40*r - 5. Let v(o) = 655*o**2 + 32*o + 4. Determine 4*m(g) + 5*v(g).\nAnswer: 659*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1057911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 15 = 27*c. Suppose c*y - 266 = -3*u, -5*y - 5*u = -300 + 40. Is 42 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101 - -1101?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2 + 96310*n**3 - n - 9*n**2 - 9333*n**3. Let s be j(2). Suppose 2*w - d + s = -590184, w + 643002 = d. What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*z - 433 = 350, 5*z - 445 = -3*m. What is the remainder when m is divided by 65?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35103 - 0\nAnswer: -35103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14442 and 97875.\nAnswer: 16247250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12*t = 14. Factor -2*i**3 + 5 + 171*i**t - 5 - 94*i**3 + 15*i**4 - 54*i.\nAnswer: 3*i*(i - 3)**2*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59163, -119676, -180189, -240702?\nAnswer: -301215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.209131 + -1.20011?\nAnswer: -4.409241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/17345 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -3) + (-1176)\/216. Which is the smallest value? (a) 1 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87437491 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0149923 rounded to five decimal places?\nAnswer: 0.01499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by 3?\nAnswer: -122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1364, 5, 7, -2, 2, 1 in descending order.\nAnswer: 1364, 7, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -68, -1, -42\/19 in increasing order.\nAnswer: -68, -5, -42\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2. Let q(m) = -4916604*m**2. Calculate q(s(b)).\nAnswer: -398244924*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/4183 - 12510\/54379. What is the closest to -0.1 in 2, c, -3\/5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 1, k: 1, p: 1}. Give prob of sequence fp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 28 = 3*p + 135 - 9, -85*p + 90*p - 4*f = -259 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 3, u: 6, a: 4, m: 2, i: 1}. What is prob of sequence ff?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*2)\/(sqrt(112)*2)*2.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 + -114. Calculate the highest common factor of r and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 l, and 1 x when four letters picked without replacement from {x: 4, c: 1, d: 1, l: 4, o: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -69 - -7422976.3126\nAnswer: 7422907.3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43193\/3 - 14401. Which is the nearest to -24? (a) y (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6222 - 3111 - 14064*a - 4009*a - 3111 to s + q*a and give q.\nAnswer: -18073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 + 2. Let i(y) = -6*y**2 + 3. Let j(x) = -x**3 + 3*x**2 + 117*x + 87. Let g be j(-9). Calculate g*i(a) - 7*d(a).\nAnswer: -a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 302 + 357 = -8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 684 = 2*d - 4*b, 0 = -5*d - 3*b + 1668. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383 is divided by 138.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -74. Suppose -o*d = -11*d - 135. What is the derivative of d*b - 2 - 16 - 16 wrt b?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 82056*d - 738500. What is s(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1799950 or 16199537\/9?\nAnswer: 1799950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 + 3*v**2 + 3*v**2 + 8*v**2 to the form l*v**2 + a*v + r and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= 465360550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -15. Suppose 5*g + 4770010 = m*d - 0*d, -4*d + g + 6360002 = 0. What is d rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 29*w + 35 = 0. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 1133 = 2051. What are the prime factors of l?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(325)) + 3)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 281715.2 hours?\nAnswer: 16902912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 + 2502 = 6*n. Does 27 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2614 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:19 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 6*p - p + 176.\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - -6)*11\/((-385)\/(-14)). Solve -8*r - 4 = -c*b - 3*r, 5*b - 5 = -2*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.995 - 23. What is y rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96208 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*m**3 + 77*m**2 + 34 - 2*m - 235*m**2 + 80*m**2 + 76*m**2 - 23*m**3 + 21*m**4 to o*m**3 + q + n*m**2 + b*m**4 + z*m and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*1 + ((-1806)\/(-15))\/(-14). Put 0.32, 0.2, m in ascending order.\nAnswer: 0.2, 0.32, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769979.4 times 0.07?\nAnswer: 53898.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k - 812. Calculate m(-55).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223.7 - -200. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -5*y + 2*l, -3*y = l - 5 - 84. What is the greatest common factor of y and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 - 200 = 97*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1928969 divided by 5\nAnswer: 1928969\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 - 2.3. Let r = s + -5.9. Put -2\/3, r, 0.3 in decreasing order.\nAnswer: 0.3, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/18*-20 - -2. Let m = 0.18374 - 0.38374. What is the fourth biggest value in d, m, 1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:30 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from jjntvvjzzj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*w + 181464963 = -231*w + 200*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-45) + (-432)\/(-15))\/(-2 - (-24)\/16)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m - 15 = -h, 3*h - 39 = m. Let x(a) = -a**2 + 8*a - 5. What is the remainder when x(4) is divided by h\/(3 + -1) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/2 + 981*v**2\/2 - 51852*v + 1454930 = 0. What is v?\nAnswer: 58, 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 674668599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + q)*(-38*q - 2*q**3 + 33*q + 7*q**2 + 0*q**2) - 2*q**4 + 0*q**2 + 0*q**2.\nAnswer: 4*q**4 - 21*q**3 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -324 - -331. Which is the third biggest value? (a) -3 (b) 4 (c) h (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10458352 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, 12167 in decreasing order.\nAnswer: 12167, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9998896 to 3 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1101\/2 + -508. What is the common denominator of p and (19\/(-5))\/(-43 + (-15085)\/(-350))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -315. What is the hundreds digit of -1*(0 + -6 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 - 74386*g - 148764 = 0 for g.\nAnswer: -37191, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + (-1 - 1 - 0). What is the greatest common divisor of 40 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 0.17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (284\/213)\/(2*1\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.5. Suppose 3*d - 16 = -1. Let n be (-20 + d)*2\/(-6). Which is the smallest value? (a) 4\/3 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-15)*y\/((y\/(y*y**(-3)))\/y))\/(y*y**5*y*y*y*y*y*y*y*(y**(-12)*y*y)\/y))**10 assuming y is positive.\nAnswer: y**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14645*h**3 - 2059*h**3 - 7*h + 7*h.\nAnswer: 12586*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86275669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60905 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: Let h = -6781\/17 + 399. Let y = h - -9\/68. Is -0.2 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7166*c**3 + 5*c**2 + 22*c + 48. Is z(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 59 - 167. Let l(d) = d - 10. Let s be l(v). Which is greater: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-20) - 16\/20*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjqjjjjjqjqjqjqjqj. What is prob of picking 3 q and 1 j?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 220930361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-10))\/((-6)\/15). Find the second derivative of -5*h**a - 6*h + 36*h**2 - 36*h**2 wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*c - 176 + 118, 4*j + 4 = c. Solve 5*r = -2*u + 20, -7*u + c = -10*u + 3*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 9*p**2 + 9*p - 3. Let z be d(-10). Suppose 5*g = -2*r - 4, -10 = 3*g - 2*r + z*r. Is 23 - 3\/1 - g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30375797 divided by -3.\nAnswer: -30375797\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (123\/(-36) - -3)*2*-6. Let i be 19\/(-2)*2*-1. Solve -6 = n*s + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/44 and 5\/537218?\nAnswer: 1074436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1.0471227.\nAnswer: -4.1884908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.751 + 0.011. Let y = x + 293.74. Let v = y - 292.0000127. What is v rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -115, 0.2, -4 in increasing order.\nAnswer: -115, -4, -2\/21, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181994 is divided by 363?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {p: 2, z: 2, k: 2, c: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18*s**3 - 3*s**2 - 4*s - 1. Calculate t(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 72*m**2 + 444*m + 368.\nAnswer: -4*(m - 23)*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156598 + 156598 + 9041*f**3 + 2*f**2 - 9042*f**3 - 2*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 583 + -1462. Is d less than -879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*i - 5. Suppose -i*j + 21 = -39. Let v be 2\/(-3)*(-45)\/j. Solve v*p + p + 3*s + 15 = 0, -3*s - 10 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 601 * -16074.1\nAnswer: -9660534.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/12)\/(((-20)\/60)\/((-2)\/(-2)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + 0) - (-9 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 + 210. Calculate the highest common factor of m and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198831 and 6003?\nAnswer: 397860831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2315 by -5.\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/57 and (-826)\/(-60) - (416\/(-65) + 6)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3)*z**(-5\/9)\/z)\/(z**(2\/9))**24 assuming z is positive.\nAnswer: z**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d**3 + d + (12 + 4*d - 12)*(-3*d**2 - d**2 + 2*d**2).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 11*g - 17. Let v(p) = 5*p**2 + 21*p - 35. Let k(q) = -7*b(q) + 3*v(q). Let c be k(14). Solve -2*f - 5*n = -30, -5*f - n + c = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b - 3. Let o be a(0). Put 3, o, 7 in decreasing order.\nAnswer: 7, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19.3725, 0.4, 2\/3, -3\/7, 7, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i = 39 + 213 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + j**2. Let i be n(1). What is the common denominator of 193\/24 - (-1)\/i and 207\/30*2*(-6)\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 46. Let w(u) = 1 + u + 3 - 3. Calculate w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8+29619449\nAnswer: 29619451.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154614\/1469 - -802\/113. Let h = g + 98. Let s be (1*-3 + 0)\/8. What is the second smallest value in s, 2\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ba4 (base 13) in base 12?\nAnswer: a078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 0.7. Let s = 1.2 - n. Put s, -2\/3, 5 in decreasing order.\nAnswer: 5, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101101000010111 (base 2) in base 15?\nAnswer: cb48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685659277.\nAnswer: 47, 727, 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76972956 - 46272997. Suppose -34*k - r = 19960041. Round k to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5312 - -9286. List the prime factors of v.\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 963*a**2 + 52*a + 28. Let o(h) = -482*h**2 - 24*h - 13. Calculate 13*o(w) + 6*s(w).\nAnswer: -488*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9850*b**2 + 190*b + 3098721.\nAnswer: 19700*b + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 5*s - 56. Calculate a(-11).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 23*j**2 + j - 4. Is u(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 7:21 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1386 by -33.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/3 - 269*h**4\/3 - 455*h**3 - 1375*h**2\/3 + 1364*h\/3 + 548 = 0.\nAnswer: -3, -2, -1, 1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(6 + -2). Let u = 10 + o. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/12 + w**2\/2 + 7*w. Suppose r(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 74\/5 of a second?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121.4 + 121. Which is the second biggest value? (a) 1\/4 (b) 0.5 (c) -20 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000559 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*o + 0 + 2)*(-460*o**2 + 35*o**2 - 77*o**2) to the form x*o**2 + n*o + v + m*o**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = 0, 3*k + 0*v + 3*v - 264 = 0. What is the remainder when k is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13696*i + 68476. Let l be r(5). Let o(s) = 1. Let p(k) = 2*k + 5. Suppose -m - 4*m = -5. What is l*o(n) + m*p(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(66\/8)\/(-11). Let m = -18 + 22. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -53*f**6\/20 + 9371*f**3\/6 - f**2 + 101*f - 6. Differentiate p(u) with respect to u.\nAnswer: -954*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185600 rounded to the nearest 10000?\nAnswer: 2190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let i(p) = -6*p**2 + 4*p + 6. Determine i(w) + 6*o(w).\nAnswer: -6*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 590\/18 - (-18)\/81. Suppose 6*g - 3*g = x. Let z(q) = -q**2 + 12*q + 10. What is the units digit of z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 11\/5689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, -10, 1 in descending order.\nAnswer: 1, -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/120 + t**5\/15 + 7*t**4\/24 - 7*t**3\/6 + 4*t**2. Suppose 0*f - 5*z = -3*f + 10, 4*f - 2*z = 18. Determine b(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 + -0.04. Suppose 6142*y + 48 = -2*q + 6146*y, -4*q - 2*y = -14. Which is the nearest to 1? (a) 4\/3 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 12*q**2 + 11*q + 2. What is the units digit of u(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 40, 0.019, -0.5?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 26*q**6\/3 - 3*q**2\/2 - 10*q + 30. Find the second derivative of w(i) wrt i.\nAnswer: 1040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 - -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p. Let y(j) = -j. Let k(i) = -i**2 + 3*i. Let o(c) = k(c) + 3*y(c). Calculate n(o(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10536 and 19213995?\nAnswer: 19203459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -170 - 250. Let r = l - 196. What is the lowest common multiple of 1 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 18 - -1) + (-544 - -652)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*f = 6, 0*k = 3*k - 2*f + 6. Suppose 5*q - q = k. Is 3\/5 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456) + sqrt(3456)*1)\/sqrt(8).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 438*k**2 - 15*k - 239*k**2 - 202*k**2.\nAnswer: -3*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2769 - -259?\nAnswer: 3028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4140, 4135, 4128, 4119?\nAnswer: 4108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 5\/(-10)*-8. Suppose -3*f = -12, 5*r + g*f + 261 = 676. What is the remainder when r is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, -8\/41, 0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 14 + 4*s + 2*s - 7*s.\nAnswer: -s + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -475 - -1147. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c51 - -11?\nAnswer: 2c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 15. Let t = q + -18.65. Let a = -0.6 + t. Round a to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*p = 16, -i - 2 = 3*p - 18. Let s = -130 + 134. Suppose -2*u = 0, 9*u = s*d + 5*u - 16. Calculate the highest common divisor of d and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (330*i - 712*i + 338*i)*(-7*i + 5*i**2 + 7*i) as j + k*i**2 + m*i**3 + t*i and give m.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -8. Let r(d) = -d**2 - 5*d - 2. What are the prime factors of r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-28)*(-14)\/36*-3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 4, m: 1}. Give prob of picking 2 q and 1 y.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 7. Let i be g(-7). Suppose -4*z + 2*l = -3*l + 31, 15 = 5*l. Are i and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 82 = -294. What is the common denominator of l\/6 + -1 - 2 and -2 + -10 - ((-3)\/(-5) - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940190 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(60\/(-840)). Suppose -2*i - 5*k + u = -8*k, -5*i + 27 = k. Solve -2*x = -5*x - i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.48 and -496274.\nAnswer: -496273.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.5. Let k be 3\/(-6)*-4 - -13. Let x be (-12)\/20 - 6\/k. What is the closest to 0.1 in r, x, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 6 = 0, -2*y + 3*d = 4*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7\/(-5))\/(((-1041)\/(-5205))\/((-13)\/12))\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -29. Suppose 2*r = -2*p + 412, r - 60 = -5*p + 130. Suppose -x*s + 2*s + r = 0. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/224)\/(314\/(-8)). Is x at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, -119276 in ascending order.\nAnswer: -119276, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24619 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 189, 782, 1779, 3186, 5009?\n\"Answer: y**3 + 196*y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 3*m + 9*m + (-5*m + 5*m + 2*m)*(3 + 0 - 2).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a92 (base 14) to base 15.\nAnswer: -3d0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**5 + p**4\/2 + 52*p - 80. Find the first derivative of v(m) wrt m.\nAnswer: -20*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + 2*((sqrt(228) + (1*sqrt(228) - sqrt(228) - sqrt(228)))\/sqrt(12) + (sqrt(1900)*-3 - sqrt(1900))))**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 6, 4, 2 in increasing order.\nAnswer: -2, -1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/24 + 7*r**3\/6 + 15*r**2. What is m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 7*x**2)*(0*x + 0*x + x**2) + 2*x**3 - 1 + 1 - x**4.\nAnswer: 6*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004423 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*g**2 + 74225*g + 19008054.\nAnswer: -76*g + 74225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3090*k + 6069 = 2801*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 10. Let g = -180 - -183. Suppose -k = -d - 2 - 1, g*k + 12 = 0. Let u(w) = w + 7. What is d*u(q) + 5*l(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - 337453?\nAnswer: -337442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 74 + 17 - 12 + 2*c**2 - c - 12.\nAnswer: 2*c**2 - c + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/220 and -1\/200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 41 = -5*f, 0 = 3*o - f - 15 - 52. Let a = -14 + o. Suppose 0 = -i - 4*p - 7, -2*i = i - 2*p - 21. What is the remainder when a is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let s(k) = -216*k + 3. Let n(a) = 425*a - 7. Let l(z) = 3*n(z) + 7*s(z). Give l(j(p)).\nAnswer: -237*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -130868, -523480, -1177834, -2093930, -3271768, -4711348?\n\"Answer: -130871*t**2 + t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 - 4*b. Let m(z) = 15*z**2 + 15*z. Let g = 72 - 50. Give g*r(d) + 6*m(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13133032201 (base 4) in base 8?\nAnswer: -7371641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 433028?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 - (3 - 1). Let p be s + 6\/3 - -22. Suppose 572 = -17*m + p*m. What are the prime factors of m?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -13102131132312?\nAnswer: -13102131132322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 4*d - 4. Let b be i(-5). Let h be (-2)\/(-15) - 25\/100. Let f = h + 5\/12. Which is smaller: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9. Let m = -0.1 - s. Let a = 0.125 + m. Round a to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 - 164 - (0 + -3 - (-7 + 51) - -1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 4*i - 5*i - 7*i + 2*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1989085 and 1785?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b**4 + 10*b**3 - 451*b**2 + 866*b + 1320 = 0 for b.\nAnswer: -66\/7, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**2 + 18*t**2 - 2*t**2 to the form v*t**2 + s*t + w and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27804 and 8.\nAnswer: 55608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*a + 12 = 0, -h + a = -a - 8. Suppose -h*x = -5*d - 12, -d = 2*x + 4*d + 8. Is (2 - x) + 1 + 40 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400*h**3*p**2*w + 42*h**2*p*w - 2*h*p**2*w + h*p*w wrt h.\nAnswer: 2400*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 10867863?\nAnswer: -10867866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(300)*1)**2*5.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -7 + 385)*(1 - 186251). Round p to the nearest one hundred thousand.\nAnswer: -70800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*p**2 + 11*p - 2*p + 6*p - 16*p wrt p?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43a91 + 239?\nAnswer: 4421a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 1, j: 1}. Give prob of sequence uxj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 160 = -v. Suppose 0*n = -4*n + v. Let b(h) = -h**3 + 8*h**2 + 3*h - 2. What is the remainder when b(8) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7041896 and 4?\nAnswer: 7041896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1221.84 + 1221.6. What is the nearest to 1 in -0.13, -2, -1\/2, p?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dedddedddzeezed. Give prob of picking 1 d and 2 e.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51 and 22?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8478 and 2305074?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 5. Let m(p) = 1. Suppose 44 = -5*k - 41. Let j = -11 - k. Determine j*m(a) - u(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:07 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 49. Let i be -3 + -2*(-3)\/2. Suppose i = 2*b - 5*b + 42. Solve -4*g = b - l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-15) + (-3)\/((-60)\/908). Solve -7*f + 59 = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**8\/6720 - c**4\/6 + c. Let s(i) be the third derivative of j(i). What are the prime factors of s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {q: 9, z: 10}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 5, d: 8}. What is prob of sequence id?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12186, 48187, 108188, 192189?\nAnswer: 300190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 5*z - 1. Determine m(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a + 412 - 3839 - 11339.\nAnswer: -52*a - 14766","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 71646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, -4, 0.9, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/19, 1, 0, -1\/6 in decreasing order.\nAnswer: 1, 9\/19, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 535*p + 0*p**2 + 6*p**2 - 545*p.\nAnswer: 3*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 + 7*x**3 - 3*x**3 - 5*x**4 + 0*x**2 + 3*x**4 to the form o + a*x + v*x**2 + u*x**3 + b*x**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 144 + 55 = -61 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/69 + -2\/23. Let p = 5\/19 + -1\/76. Is p <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/30 and -71\/35655.\nAnswer: 71310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74\/5 of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**2 + 444*u - 872 = 0.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/22*8\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -369, -580, -791, -1002?\n\"Answer: -211*r - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + s**2 + 3*s**3 - s**2. Let u(b) be the second derivative of -7\/12*b**4 - b + 0 + 0*b**2 + 1\/2*b**5 + 0*b**3. Calculate -2*u(d) + 7*y(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4581, -4592, -4603?\n\"Answer: -11*s - 4570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stttttsttttt. Give prob of sequence tstt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 551000 to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpd when three letters picked without replacement from {d: 9, v: 5, i: 3, p: 3}.\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 10*c + 10*c + 0*c**3 - 20*c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*p - p = 9, 18 = 3*m - 2*p. Suppose -5*k + 3*w = -6, 2*k + 2*w = -8 + 20. Calculate the remainder when 44\/k - 2\/(-6) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = -4. Let r = -174 + 195. Suppose 5*v - 24 = -5*j + v, -5*v = 4*j - r. Solve 3*z - 2*m + 6 = 2, -2*m = -j*z - u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypcciyyiyucipppcuiyr. What is prob of picking 1 u, 1 i, and 1 r?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 - 66) + 0 + -19 + 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/((-144)\/357)*1 and (124\/(-6))\/((-4)\/(-9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**(3\/26)*q**(-1\/7)\/q**(-1))**(4\/3) assuming q is positive.\nAnswer: q**(97\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 46*i - 1. Let u(t) = 23*t - 1. Let h(r) = -4*j(r) + 7*u(r). Is h(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.5 - -19.75. Let p = r - -7.65. Which is the fourth biggest value? (a) -2\/9 (b) p (c) 2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684587 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.5, 0.4, 3.4, 22\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 631 + -531. Let i = u - 98. Which is bigger: i or -271?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**3 + 975*i**2 + 143*i + 9309. Calculate h(-65).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s + 3. Let x be k(0). Let r be (25875\/6)\/(-6 - 1923\/(-320)). Suppose w = x*w + r. What is w rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 1, r: 5, s: 2, p: 1}. Give prob of picking 1 w and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Let d(l) = -276*l**2. Calculate d(a(r)).\nAnswer: -1104*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -2, -2.1, -10, 0.0264, -3?\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t = 30. Calculate the remainder when (5\/(-30))\/(3\/(-2034)) is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 376000 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*x*x\/(x\/(x\/(x*x*(x**13\/x*x)\/x*x*x*x))))\/(x**(-1\/3)*x**5\/x*x*x) assuming x is positive.\nAnswer: x**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023781497?\nAnswer: 3, 17, 23, 872789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-198)\/18 + 12)*13. Solve -48 = q - m*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/3*v - 34\/3*v**2 - 2\/3*v**4 + 20\/3*v**3.\nAnswer: -2*v*(v - 8)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136)*2 + sqrt(136))*3 + sqrt(136))\/((sqrt(96)*1)\/sqrt(12)) - (-1 + -1 + sqrt(153) + sqrt(153) + (sqrt(153) + 0)*-5)**2.\nAnswer: -1381 - 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1100234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/13 + 6*g**4\/13 - 34*g**3\/13 - 174*g**2\/13 - 256*g\/13 - 120\/13 = 0.\nAnswer: -3, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb04 (base 14) to base 10.\nAnswer: -70760","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 12}. Give prob of sequence uuu.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d**3*f**3 - 22*d**3*f**2 + 3*d**3*f - 2*d**3 - 85*d*f wrt f.\nAnswer: 60*d**3*f - 44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 64. Let o be t(-20). Suppose 4*h - 7*h - o*w = -13, -3*h - 5*w + 17 = 0. Is -2.9 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 102*h + 379. What is f(-47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/30 and 174\/(-16)*(-10)\/(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:11 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4795379, -4795375, -4795371?\nAnswer: -4795367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/7 + 132*y**4\/7 - 396*y**3 - 32262*y**2\/7 - 55695*y\/7 - 3762 = 0.\nAnswer: -57, -7, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069978422 rounded to four decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22230 and 386460?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpy when three letters picked without replacement from gggpggggypggggggp?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 11*r**2 + 3*r - 13. Calculate m(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Suppose 3*k + 4*v = 253, n = k - 4*k - 5*v + 248. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*((sqrt(88) + sqrt(88)*-2)*6 + sqrt(88)))\/((2*sqrt(72)*-6)\/(sqrt(576) + sqrt(576) + (sqrt(576) + -2*sqrt(576) - sqrt(576)) + sqrt(576))).\nAnswer: 200*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-223)\/(-7) - (-9)\/63. Let s be ((-2)\/(-9))\/(w\/72). Let h = -1.94 + -0.06. Which is the smallest value? (a) s (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137142294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (8 + 22 + -23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 7\/6*l**4 - 1\/15*l**5 + 0 + 36*l**2 + 0*l + 0*l**3. What is w in i(w) = 0?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 7216*l**2 - 43323*l + 64998.\nAnswer: (l - 3)**2*(l + 7222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5 + 18*p**4 + 27*p**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sefofsffossss.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.8 - 20. Let w = -2.2 - v. What is the closest to w in -2, 0.6, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*i + 18102 = 18102, 2*i = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816097 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/4 + 15*s**4\/4 + 257*s**3\/2 - 4159*s**2\/2 - 513*s\/4 + 8303\/4 = 0.\nAnswer: -23, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 5 + (0 - (3 + -2 - 2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14583153.\nAnswer: 3, 13, 67, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39783926, -39783942, -39783970, -39784010, -39784062, -39784126, -39784202?\nAnswer: -39784290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 21666?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 32164.43 minutes?\nAnswer: 1929865800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 - 5*x**4\/12 - x**3\/2 + 8*x**2 - 321*x. Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - k - 69, -4*k = 5*x - 372. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3603665625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1088))*-3)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 - 5*i - 5. Let j(y) = -5*y + 2*y**2 - 4*y**2 + 6*y - 2 - 3*y. What is 3*b(s) - 8*j(s)?\nAnswer: s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/45*3\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37476 and 825905457?\nAnswer: 9369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 1725155*n - 5175420.\nAnswer: -5*(n + 3)*(n + 345028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/3)\/((2\/(-6))\/1). Solve -v*i = -5*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8892 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117*(-392)\/1274 - 22*1?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 13) to base 6\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 8*y**2 - 11*y - 12. Let c be p(6). Let n be -4 - (c\/18)\/((-1)\/(-12)). Suppose n = -4*u + 7*u - 609. What are the prime factors of u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28183 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 177*v + 353. Let p be y(-2). Let z(n) = -8*n**3 - n**2 - 4*n - 1. Let o(g) = -g**3 - g**2 + g - 1. What is p*o(b) + z(b)?\nAnswer: -7*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -426 - -3832\/9. What is the closest to h in 4\/5, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59414?\nAnswer: 2, 61, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 63 = -f, -2*f + 44 = 5*u - 25. Suppose -4*d + t = 18, 3*d + 0*t + 11 = 2*t. Let s = d + u. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 4, t: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653178 is divided by 3715.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let r(z) = -3*z**2 + 4011. What is r(d(n))?\nAnswer: -3*n**2 + 4011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16899 and 2882.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 96890343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcgq when four letters picked without replacement from qqgccccqqg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7390.752g?\nAnswer: 7390752000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -329, -1 in decreasing order.\nAnswer: 9, 3, -1, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -9\/133153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-1*-2*4*-6 - ((sqrt(1088) + sqrt(1088) + 0)*-6 + sqrt(1088) + 1 + sqrt(1088) + sqrt(1088)*1 + -1)**2)*3.\nAnswer: -264384 - 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*n = -471 + 81, -2*n = 5*y - 986. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12768987 divided by 2317.\nAnswer: -5511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 + 4*f**2 + 2*f - 6. Let w = -2259 - -2254. Let u(j) = 4*j**3 + 3*j**2 + j - 5. Give w*c(i) + 6*u(i).\nAnswer: -i**3 - 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 153 - 164 = -n, 0 = 3*n + 2*f + 37 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from vvpevepvsp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -602 - -601.7944. What is z rounded to three dps?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 200*z**2 + 21603 - 21604 + 3438*z**2)*(2 - 2*z**2 - 2).\nAnswer: -7276*z**4 - 2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -34, -61, -94, -133, -178, -229?\n\"Answer: -3*u**2 - 12*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 12. Let l be i(-10). Suppose -4 = 3*h - c - 2, 2*h - l*c = -8. Sort -5, -3, h in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/10, 1, -4\/3 in decreasing order.\nAnswer: 1, -3\/10, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 - 1688*c - 9. Let u(o) = 8*o**2 - 3377*o - 15. Determine 5*g(l) - 3*u(l).\nAnswer: l**2 + 1691*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -658, -0.2, 0.1, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 838 or 836?\nAnswer: 838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065581336 to seven dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-8)\/(-120)*-9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*-12.\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h**2 + 3*h - 1. Let o(v) = -v. Determine 5*o(n) + y(n).\nAnswer: 14*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2\/27*l**3 - 46 - 20\/9*l - 11\/9*l**2. What is u in g(u) = 0?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:56 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c*c*c**4)**(3\/11) assuming c is positive.\nAnswer: c**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 506*g - 85. Is f(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -1 - (-4 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 229\/9932?\nAnswer: 229\/9932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 310 - 19 = 24*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24 and 43\/16825864.\nAnswer: 50477592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/3 - 602768*b**4\/3 + 1205522*b**3\/3 + 1808300*b**2\/3 - 2411048*b\/3 - 2411056\/3 = 0?\nAnswer: -1, 2, 301382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 552?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*u + 18 = u, -3*p - u + 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*sqrt(1539) + 0 + sqrt(931) + 4.\nAnswer: 7 + 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 20*x**2 + 23*x - 42. Let z be p(9). Which is the closest to 0.07? (a) 1\/5 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 92. Let k be 0*3\/15 - (t + 0). Solve 4*g + k = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -453, 11, -35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4836 - 3932. What is the greatest common divisor of 1582 and x?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2613633959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45318 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 27, -4, -5 in descending order.\nAnswer: 27, 8, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -62, -120, -220, -374, -594?\n\"Answer: -2*z**3 - 3*z**2 - 5*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:46 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 21?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60425 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13*2)\/(28025452\/2547548 + -11). Let r = n + 27325. What is the common denominator of r and 43\/9?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 4)*(0 + 0 - 1)*(22*o + 3*o - 4*o)*(3 - 3 + 2)*(2 + 3 + 6) to the form m + r*o and give r.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80400.36ml?\nAnswer: 80.40036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**3 + 977765*y**2 - 1955515*y + 977755 = 0.\nAnswer: 1, 195551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-65)\/52).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 11561 = 5*p - 9314, -2*p + 8379 = 5*k. What are the prime factors of p?\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351 - 176 - 12929*w**3 - 175.\nAnswer: -12929*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*o = 2, 5*x + 2 + 1 = -2*o. Let b(u) = u**2 - 3*u + 2. Let w be b(3). Let n be (0 + -4 - 0)*w\/4. Is n < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j**2\/3 + 19*j + 2\/3 = 0 for j.\nAnswer: -2, -1\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134\/5 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/2*(-3)\/(-4). Suppose k*d - 65 = -23. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28524550\/7 or -4074936?\nAnswer: -4074936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-6776)\/2*(-114)\/152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4262, -4572, -4882?\nAnswer: -5192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12356799 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**3 - 23\/24*i**4 + 0*i**5 + 0*i - 34*i**2 - 7\/40*i**6 + 0. Find the second derivative of n(m) wrt m.\nAnswer: -126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, i: 2, u: 2}. Give prob of picking 2 o, 1 i, and 1 u.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099940000 rounded to the nearest one million?\nAnswer: -1100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/17)*n*n**(-7)\/n*(n*n\/n**(-2\/3))**(-2\/105) assuming n is positive.\nAnswer: n**(-38072\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -40, -2, -5, 15, 4 in decreasing order.\nAnswer: 15, 4, 1, -2, -4, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -70616 divided by -679\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 7*j - 1. Let c = 81 - 116. Let z = c + 28. Calculate o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:12 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0 + 0*u**4 - 1\/30*u**5 + 80*u**2 + 0*u**3 + 0*u. Let j(k) = -114*k. Determine v(j(i)).\nAnswer: -25992*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*h + 19 = 0, -4*d - h + 10 = 27. Let k(v) = v. Let s be k(1). Let j be 5*(s - -1)\/(-2). Sort d, 0, j in decreasing order.\nAnswer: 0, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 622550, 622552, 622554?\n\"Answer: 2*a + 622548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 - 7*b + 10. Let l be (-1)\/1*(11 + -4). Let d be a(l). What is the highest common divisor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-30)*((-7)\/2 + 1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21524 and 228197448.\nAnswer: 228197448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) -1\/26 (c) 0.288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.81436 + 0.08564. Put s, 2\/7, -1\/6 in decreasing order.\nAnswer: s, 2\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 + -176. Let c(m) be the first derivative of -5 + 0*m**3 + 0*m**2 + m + 0*m**q - 1\/5*m**5. Differentiate c(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Let v = 3.1 - i. Let q = 0 + v. Which is the third biggest value? (a) 0.3 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405231 (base 7) to base 11\nAnswer: -47985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.19 (c) -4 (d) 2 (e) -29 (f) -159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 76. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39 - 75)\/(8\/(-580)) a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2135*g + 1075*g + 828*g to p*g + n and give p.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*p**2 - 1651*m**2 - 379*m*p**3 - p wrt p?\nAnswer: 2*m**2*p - 1137*m*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z = 14 + 166 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + 2 - (1*sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-350))\/(1850\/(-1295))\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 + 1312*y**3 - 215166*y**2 - 1312*y + 215168 = 0. Calculate y.\nAnswer: -1, 1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t + 5 - 5)*(-3*t - 2*t + 3*t + (t + t - t)*(-2 + 1 + 0) - 2*t + 3*t - 5*t).\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 16. Let g be k(13). Suppose 161 = g*z - 172. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-10)*154*65*20\/260. Let r = -8 - -22. Calculate the highest common factor of r and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, a: 5, t: 3}. What is prob of sequence ata?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2719*j - 10059 = 4156*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**9*((n**(-2)*n)\/n*n)\/((n*n**(-1\/6))\/n) assuming n is positive.\nAnswer: n**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*y = -9*h + 10, 5*y = -h + 2. Suppose -c + h = c. Suppose -5*a - c + 11 = 0. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 - 1987*u**2 + 963*u**2 + 1024*u**2.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -0.18 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1225 = -8*v - 3*h, 3*v = -3*h + 741. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -54\/13, 11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 90. Suppose i + 3*v + 158 = 6*i, -s = -3*i + 3*v. Calculate the greatest common factor of 85 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -11, 2 in decreasing order.\nAnswer: 105, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(98) + 3).\nAnswer: 6 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*h*q + 2*c**2*h - 19*c**2*q**2 + 88*c**2*q + 270*c*h + 3*c*q**2 - c + 2 wrt c.\nAnswer: -6*h*q + 4*h - 38*q**2 + 176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.461426 times 1?\nAnswer: 0.461426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*b = -25, 0*l - b + 1 = -5*l. Let i be 82 + -4 + 3 + l. Suppose -i = -7*n + 2*n. Calculate the highest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239.728 + -205605\nAnswer: -205844.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11346 and 15438?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 43 - 111 + 48 - 25 + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -28751781.\nAnswer: 57503562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*q**2 - 84*q**2 - 5*q**3 + 432*q + 385 + 333*q + 141*q**2 + 213*q**2.\nAnswer: -5*(q - 77)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 96 = 2*q, h = 5*q - 95 + 31. Let a = 44 + h. Suppose 3*m - 3*o - 45 = 0, a = -5*m + 2*m - 2*o + 30. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2) - (5 + sqrt(8))**2) + (sqrt(160)\/sqrt(5))**2 + -4 + 2*(sqrt(12) - (sqrt(108) + sqrt(12) + sqrt(12)))\/sqrt(6)).\nAnswer: 10 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1506000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**3 - 12735*y**2 - 4608160*y + 4620900 = 0.\nAnswer: -2110, -438, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**4\/g)\/g)**(2\/87) assuming g is positive.\nAnswer: g**(8\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1244 = -7*w - 14*w + 9623. Calculate the remainder when w is divided by 125.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1314030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 35 = 5*z, d - 5*d - 2*z = 30. Let y = d - 5. Let m = y + 17. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.2, 4\/13, -5, -92.61?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:07 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26959\/19 - 1419. Which is smaller: 1.24 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + z. Let v(p) = -p**3 - p + 25. Let m be v(z). Let i be ((-4)\/6)\/(1\/(-3)). Solve -5*w + 6 = 2*x - 13, -i*w + 5*x + m = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 - 165*j**3 - 1365*j**2 + 4225*j + 65910 = 0. What is j?\nAnswer: -13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62332 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:14 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:30 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 9740.\nAnswer: 68180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11565 or 11563?\nAnswer: 11563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.042098 - 4.042098. Suppose y - 23 = -5*f, -5*y + 3*y + 5*f = 14. Which is the closest to 1? (a) m (b) 2\/13 (c) y (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 3*sqrt(77)*4 + sqrt(77) + sqrt(77) + sqrt(77))\/(sqrt(825)\/sqrt(3)))**2.\nAnswer: 1792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 12 = 68. Let r be ((-18)\/a)\/(5\/(-20)). Suppose r*s - 1281000 = 2*s. What is s rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 3*i - 16, -2*z + 104 = 12*i + 78 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -117, -173, -229, -285?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let u(l) = 250*l**2. Determine u(r(n)).\nAnswer: 250*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -23 + 46 - 90\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/6 + 106*u**3\/3 - 2809*u**2 + 3*u - 21. Factor t(i).\nAnswer: -2*(i - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, q: 1, e: 2, w: 1, m: 1}. Give prob of sequence qe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t + 2. Calculate the remainder when -24 + 1180\/50 + (-1614)\/(-10) is divided by x(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -0.5, -41 in increasing order.\nAnswer: -41, -0.5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0545 (b) -0.5 (c) -1260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -195293*u**4 + 593011 wrt u?\nAnswer: -781172*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*z - 1 - 18, s + z - 5 = 0. Suppose 266 = 54*n - 16*n. What is the remainder when n is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66078 is divided by 2278.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(-4*m + 2*m + 0*m) - 89*m - 116*m + 5*m + (-4*m + 4*m - m)*(6 - 2 + 0).\nAnswer: -210*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - r**2 + 4*r - 1. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -863 + 500. Let q = 332.48 + t. Let s = q + 29. What is s rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 60, -5 in decreasing order.\nAnswer: 65, 60, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Suppose g*h = -8 + 2, -3*w = -2*h - 19. Suppose -w*o - 13 = -q - 2, -4*o - 12 = -4*q. Is q bigger than -3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 85, 119, 169, 241, 341, 475?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/5 + 20374*w**3 - 3459233544*w**2\/5 + 39158523446432*w\/5 - 78303210773632\/5 = 0. What is w?\nAnswer: 2, 33956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-7 - -2) - 17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-11))\/(5828\/(-16027))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 342?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w. Let r(d) = d**3 - 8*d**2 + 8*d - 3. Suppose -2*b + 4*b - 14 = 0. Let g be r(b). What is the units digit of y(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -3*u**2\/2 - 4*u + 55. Let x = 2 - -3. Let t be x\/2*(7 + -5). What is d(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-162)*24\/(-30))\/((-4)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 538358975 and 9163.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.101 and 1.528.\nAnswer: 1.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-9))\/(b\/(b*b**22*b))*(b**11)**(9\/4) assuming b is positive.\nAnswer: b**(163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-115)\/(-2))\/((-4)\/(-8)). Let f = t + -463\/4. Let h = -1418 + 19905\/14. What is the common denominator of h and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:32 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 + 52 - 8)*(337 + 231 - 86)*(-b + 3*b - 4*b) in the form d + t*b and give t.\nAnswer: -84832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/7 - 4700*m**2\/7 - 18758*m\/7 + 23460\/7 = 0. Calculate m.\nAnswer: -2346, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 352459476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 972696 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.2 + -12.07. Let y = j + -1.53. Let g(u) = u**2 + 5*u + 4. Let d be g(-4). Which is the nearest to 0.1? (a) y (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttggwtgtggtgggwgt. What is prob of picking 2 w and 1 t?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4857.\nAnswer: 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-3)*(4 + -3). Factor 39*l**2 - 90*l - 25*l**t - l**4 + 90*l - 5*l**3.\nAnswer: -l**2*(l - 2)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 3*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49151.\nAnswer: 23, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -21543\nAnswer: 1\/7181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321 - -320.91. Put 1, r, -3, 0.5 in decreasing order.\nAnswer: 1, 0.5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*i**2 - 2*i + 173.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45277 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: Collect the terms in 3*p + 5*p**2 - 3*p - 4*p + 4*p.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-8))\/((-10)\/8))\/(3\/((-222)\/(-703)))?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/3 - 58*w. Let f(y) = 35*y**2. What is f(d(k))?\nAnswer: 560*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-18)*9\/6. Let y be -1 + 292\/18 - n\/9. Suppose -w = 4*x + y, -x - 2*x - 16 = -4*w. Solve -g = w + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -1 + sqrt(1573))*3 + sqrt(1573))**2 - 4*sqrt(208).\nAnswer: -478*sqrt(13) + 77086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 12 = 2*l - 7, 0 = -2*d + 5*l - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u, 6*k + 3*u - 1 = 8*k. Solve 6*n = -5 - k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i*i**(-23))))\/(i*i**(6\/13)\/i))\/(i*i*i**1)**(-4\/5))**(14\/5) assuming i is positive.\nAnswer: i**(-19166\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135\/2*(6*-30)\/(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 130. Suppose -3*y + 40 = 3*q + y, -d*q - y + 44 = 0. Let o = 2 + 1. Solve q = -t + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -337\/3?\nAnswer: -337\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28200026 and 4710?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643 + -643. Let n = 0.2 - k. Which is the nearest to -0.2? (a) 5 (b) n (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1611, 2\/9, -0.255 in decreasing order.\nAnswer: 2\/9, -0.255, -1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120\/779 + 2\/41. Suppose 45 = -21*o + 24. Do n and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 249 + 4*m**4 + 2*m**3 + 249 to a + o*m**2 + x*m + g*m**4 + b*m**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/107? (a) 0 (b) -13 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721262.\nAnswer: 2, 47, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2649 - 2649 + 3*v**2 + 12*v**3 - 35*v**3 - v - 2*v**2 + 6*v**4 as c*v + h + b*v**3 + o*v**2 + f*v**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 9:46 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = 3*b, 6*y - 2 = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 54806170?\nAnswer: -43844936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 + 5*j**5 - 4*j**5)*(-128 - 148 - 104 + 73).\nAnswer: -614*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 104. Let a be (-2)\/(-7) + 1250\/35. Calculate the greatest common factor of a and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k**(2\/9))**(-13\/2)*k\/(k*k*k**(-6\/11))*(k*k**(1\/3)\/k)\/k*(k*k**1)\/(k\/((k**3\/k)\/k)) assuming k is positive.\nAnswer: k**(-2344\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from llnhlnlleneel.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h**2 - h - 1. Suppose -194 = 8*m - 178. What is p(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 4091292*q - 32730528 = 0. Calculate q.\nAnswer: -1363772, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:05 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4, 3*q = -a + 1 + 30. Suppose 5*f = 6*f - 6. Let k = q - f. Is -0.1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1*(1 - 1). Suppose 2*i - 4*y - 12925 - 13277 = n, -i - 3*y + 13081 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10386448, -10386431, -10386414, -10386397, -10386380?\n\"Answer: 17*t - 10386465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35073 - 21628.35073. Let b = w + 21621.99516. Let c = 6 + b. What is c rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-701 + 701 + 170*p)*(1 - 4 + 5).\nAnswer: 340*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - 3) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8)\/y**1*(y**(1\/5)*y)**(2\/39) assuming y is positive.\nAnswer: y**(-581\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, -26 in decreasing order.\nAnswer: 4, 1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/3 (b) -1\/6 (c) 4 (d) -2\/53 (e) -15.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -3, 23, 104 in descending order.\nAnswer: 104, 23, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39029412 a multiple of 654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1377129 and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**3 - 4*z**2 + z. Let x(d) = d**3 + d**2. Let w(g) = r(g) + 5*x(g). Let o(s) = -2*s**3 + 2*s**2 + s - 2. Let p be o(0). Calculate w(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933244043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9561 greater than or equal to 9234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*v - 874 = -597*v - 170 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 522105506?\nAnswer: -522105511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m. Let o(f) = -22*f. Let c(z) = -592*z - 514*z + 270*z. Let y = 1544 - 1546. Let l(v) = y*c(v) + 77*o(v). Determine l(s(g)).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-24)*r*r)**(-9\/2)*r*(r*r*r*r\/r**28)\/r*r*r*r**(2\/11))**(-36\/5) assuming r is positive.\nAnswer: r**(-30564\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 10 (b) 0 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*q**4 + 16*q**5 + 8*q**2 + 84*q**4 - 44*q**4 wrt q?\nAnswer: 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/5, 5, -432718.\nAnswer: -432718, -19\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o)*(o**3 - 2*o**4 - o**3) - 4*o**5 - 3*o**5 + 5*o**5 - o**5 - 4*o**3 + 4*o**3.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -4*u**3\/3 + 52*u**2 - 660*u - 1643. Determine d, given that m(d) = 0.\nAnswer: 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 51*c + 24. Let f be h(18). Let z = f - 62125\/66. Calculate the common denominator of -139\/66 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 48*l + 1019. Calculate n(-7).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 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: Expand o**2 - 2 + 4 + o**2 + (-82 - 63 + 288)*(-o**2 + 2 - 2).\nAnswer: -141*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-924)\/528)\/(18\/((-1584)\/(-110)))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*n = 203*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -8. Let q(i) = -6*i - 1 - 2 - 2 + i. Is 18 a factor of q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 997696 and 4032?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15165*l**6*m**2 + 2*l**2*m**2 + 21*l**2*m - 464*l**2 wrt l.\nAnswer: 1819800*l**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k**3 + 6*k**2 - 22*k + 385. What is the thousands digit of b(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2)\/q**(-4)*q**(-3\/7)\/(q\/(q*q*q**(-2\/3))))**46 assuming q is positive.\nAnswer: q**(6670\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 2*y + 4, 0*y + 8 = m + 4*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 8*t. Suppose -r + 1 = -t, 3*r = -2*m - 340. Does m = -176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 15. Let x be n(-12). Let u(p) be the third derivative of -1\/3*p**x + 3*p**2 + 0*p + 0 + 1\/12*p**4. Determine u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.278334 litres in millilitres?\nAnswer: 6278.334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420*(-6)\/27)\/(436\/654).\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 193, 2\/613, 3, -1, 1\/5, -1\/8 in descending order.\nAnswer: 193, 3, 1\/5, 2\/613, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-9)*-3*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(85) - sqrt(85))\/(2*sqrt(245)) + 0)*1.\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8 and 37\/47938.\nAnswer: 191752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1978\/36239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112770233*p**2 + 26946675 wrt p.\nAnswer: -225540466*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1128382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 637455840 a multiple of 1158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**2 - i. Let l(p) = p**2 + 6*p + 9. Let m be l(-6). Suppose 0 = -4*d - 5*n + m, -4*n - 3 = -5*d - 2*n. What are the prime factors of r(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 37 - 47. Suppose y + q = 14. Suppose n - 10 = -5*s, 3*s - 14 = -s - 2*n. Calculate the least common multiple of y and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y = -14*y - 312 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g. Let j(h) = 3*h + 0*h + 8*h - 2*h. What is j(k(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-3))\/(1\/(-3)). Suppose -3*c + x = c. Suppose 2*s = -q - 1, 4*s - c*q - 13 = 6. Put -1\/6, -3\/2, s in ascending order.\nAnswer: -3\/2, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.1. Let m = 5320 - 5322. Let n be (-3)\/(4 - (-20)\/(-8)). Which is the closest to n? (a) m (b) q (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 4. Let o be c(6). Let p = 10 - o. Suppose -f + 6 - p = -4*m, 2*m = -4*f + 52. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + f + 22 = 0, 0*a - 3*f = 4*a - 44. Let i = 14 - a. Let c be (-4)\/2*i\/6. Which is smaller: 1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from jbbjbljllljjjlljj?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 27*t - 72. Let x be q(16). Which is the smallest value? (a) -2 (b) 1\/9 (c) 0.07 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from ayccyeer.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:48 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145 - 138. Let s(u) = -2*u + 8. Calculate s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246787 is divided by 136?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 - 7*a + 7*a + (a**2 - 5*a**2 + 3*a**2)*(-1 + 1 + 4).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*s**3 - 5235899*s**2 - 450614190 wrt s.\nAnswer: -48*s**2 - 10471798*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201904230 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 6*d - 6. Suppose p + 1 = 3*o - 3, -4*p + 8 = -4*o. Let u(t) = 2*t**2 - 12*t + 13. Let k(b) = p*w(b) + 3*u(b). Find m, given that k(m) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*h)*(3*h - 2*h - 3*h) - 1 + 2*h**2 + 1 - 6*h**2 - 2*h**2 + 4*h**2)*(1 + 4 - 1)*(6 - 6 + 4*h) + 0*h**3 - 3*h**3 + h**3.\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8350 = 5*h - 5*d, 0 = -4*h - 5*d + 10*d + 6684. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-577809)\/(-285))\/93*1\/(-4)*10\nAnswer: -109\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.6, -2\/34731?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1185 + 3105. Suppose -16*x + k = -10*x. What is the greatest common divisor of 40 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9979 - 9892.79. Let y = z + 4.99. Let w = 93 - y. What is the smallest value in 2\/11, 1, w, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9) + (-11)\/(-3). Suppose s - 5*a = 35, 5*a + 16 + 39 = 3*s. Suppose -2*k - 6 = k + y*o, 5*k = 5*o + s. Solve -2*f + 0*f + 10 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54091.12ug to nanograms.\nAnswer: 54091120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*s - 2876 + 21610 = 110*s for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021215567 rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 5*a + 4*a)*(8*a**3 - 2*a**2 + 2*a**2)*(-1 + 0 + 13) as b + u*a + l*a**3 + p*a**2 + h*a**4 and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y = -u - 11*y + 12, 3*u - 4*y - 21 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 smaller than -18733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -11*f + 110. Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 17. Suppose -2*s + 6 = u, 15 = -9*s + 4*s + x*u. Calculate the remainder when -6*((-207)\/6 - s) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 20*v + 150. Let f be z(-20). Suppose 246 + f = 6*b. Solve -10*p - b = -16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 1 - (-35 + 28)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 5, h: 2, d: 4, f: 2}. Give prob of picking 3 d and 1 c.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 135 = h, 4*p + 2*h + 2*h = 108. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g**2\/3 - 752*g - 205\/3 = 0 for g.\nAnswer: -205, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000132 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -229\/4. Which is bigger: a or 2\/83?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 1729 - 256. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115727 (base 10) in base 8?\nAnswer: -342017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a + 11*a + 26*a + 37*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 4 (c) -3583 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1091 + 1556. Suppose 4*g = 16, -a = -5*r - 5*g - 0*g. What are the prime factors of r?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2103?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690650467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -2 (b) 0 (c) 5 (d) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10)\/(33\/(-22))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 270820.\nAnswer: 1354100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9302796 by 1033644.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 11:45 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 3*i + 5*l - 7, 2*i + 5*l - 13 = 0. Suppose -h = -5*j + 140 + 39, -h - 39 = -j. What is the remainder when j is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 divided by -23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*k + 0 + 2\/7*k**3 - 156\/7*k**2 = 0. Calculate k.\nAnswer: 0, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7161, 8223, 9993, 12471, 15657, 19551, 24153?\nAnswer: 29463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*b**2 - 12*b**2 - 133*b + 30*b**2 + 10 - 69*b + 2*b**3 to f*b + v*b**2 + m*b**3 + t and give f.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0*b + 122. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 12 + -7 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 + 468. Let z = i - 255.4. What is the closest to 6\/7 in -2\/15, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 7*h - 11. Let v = 4401 - 4395. Determine a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 56. Solve -b - k = 4*b + 4*w, 3*w = 5*b + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 109059105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -31217281\nAnswer: 15608640.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.034 (b) 5 (c) -1\/3 (d) 0.3 (e) -6 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 415 * 6.04.\nAnswer: 2506.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -8.2 (b) -3\/8 (c) -0.04 (d) -2\/11 (e) 20.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 104530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 54715, -4 in increasing order.\nAnswer: -5, -4, 54715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -2*x + 2*y, x - 12 = -5*y. Suppose -2*b = 3*s - 56, -3*s + x*s - 4*b + 32 = 0. Calculate the least common multiple of 34 and s.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2 - 36*j - 281. Calculate s(-15).\nAnswer: -1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 14) to base 12.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106363206 a multiple of 1101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4246 + 1240 = -1137*k - 18924 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100710162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z**3 - 8*z**2 + 7*z + 7*z**2 + 17*z**3 - 29*z**3 + 35 - 4*z as q*z + o + l*z**3 + h*z**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9809 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -11) + -8 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 6*i + 0*i**5 + 1\/90*i**6 + 0*i**2 + 0 + 0*i**3 + 0*i**4. Factor h(s).\nAnswer: s**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, g: 1, l: 4, p: 3}. What is prob of sequence lpl?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1614363 millilitres in litres?\nAnswer: 0.0001614363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 7, 5, 4, 2\/15557 in descending order.\nAnswer: 7, 5, 4, 0.2, 2\/15557, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122393 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:40 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t + 169 = 169 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 2*i**2 + 2*i**2 - 5*i + 48*i**3.\nAnswer: 48*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(128) - (1 + sqrt(128)) - sqrt(2)) + sqrt(2)))**2 - (2 + sqrt(8)*-1).\nAnswer: 2*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -32, 13, 76, 163, 280, 433?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -22. Let i = -8.79 - -8.9. Let s = i - 0.11. What is the third smallest value in s, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**4 - 11*x**2. Let y(f) = -2*f**4 + 28*f**2. Let s be 2\/6 - 192\/36. Let c(o) = s*y(o) - 12*h(o). What is the third derivative of c(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-244)\/3294)\/(3\/36*4))\/2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/11 - 122*w**4\/11 + 590*w**3\/11 + 4538*w**2\/11 - 1068*w\/11 - 18720\/11 = 0.\nAnswer: -65, -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 2. Suppose -3*v - 11 + 2 = 0. Determine z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 4*(-5)\/10. Find the second derivative of 0 + 11*w - 11*w**5 + 0 + 5*w**p wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 + 9*y + 4. Let m be i(-7). Let s be ((-36)\/30)\/((-3)\/m)*-4. Suppose t + 22 = 134. Calculate the greatest common divisor of t and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-6)\/(-4))\/((-36)\/96))\/14. Let f = 0.3 - 1.3. What is the third biggest value in 13, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 7\/120*x**6 + 7\/30*x**5 + 0*x + 1\/210*x**7 - 3*x**2 + 0*x**3 + 1\/3*x**4 + 7. Find w, given that n(w) = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**35\/v)\/(v*v*v**(8\/15)*v) assuming v is positive.\nAnswer: v**(457\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1938892.5 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2 + 2*g + 5*g - g - 5*g. Determine u(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 times 5.33?\nAnswer: 1097.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 6, f: 5}. Give prob of sequence ffff.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2259.39980274 + -2259.4. Round v to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s**2 + 19*s - 4. Let k(p) = 2 - 5*p**2 - 5*p - 2*p - p - p. Let b(u) = -13*k(u) - 6*t(u). Let x be b(2). Solve j - 3 + x = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -3*t**6\/20 - 19*t**5\/20 - 3*t**4\/8 + t**2 - 136*t. What is w in c(w) = 0?\nAnswer: -3, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkykkyykkykk. What is prob of sequence kykk?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*r, -7*r = -2*r + 4*s + 36. Let u = 1 - r. Suppose -63 = 2*g - u*g. What is the greatest common factor of g and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - 1\/10*5170\/66. What is the smallest value in k, 0.1, 1134\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by ((-765)\/2)\/(-15)*(5 - 3).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.205 * 533\nAnswer: 4373.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3af (base 16) to base 4\nAnswer: 32233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/11 + 164*u**2\/11 = 0.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u - 5*m = 410, -250 = -3*u + m. Let o = -64 + u. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 5:38 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -40 (b) 33 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*x = -118*x + 167*x. Suppose 8\/9*a + x + 8\/9*a**4 - 14\/9*a**3 - 8\/9*a**2 + 2\/3*a**5 = 0. What is a?\nAnswer: -2, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l + 27. Let a(y) = -5*y + 14. Let d(m) = 5*a(m) - 3*z(m). Let q be d(9). Let r(t) = -t**3 + 7*t**2 + 9*t - 8. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/55)\/x**(-8\/3)*(x**(-29)\/x)\/(x*x**(1\/11)))**(-11\/2) assuming x is positive.\nAnswer: x**(2348\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131856*v**3 + 102943?\nAnswer: 395568*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -t + 5, -5*t = -x - 0*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2121290180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46918, 187763, 422504, 751141, 1173674, 1690103, 2300428?\nAnswer: 3004649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8418384 divided by -2808?\nAnswer: -2998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-8960)*8*1*-4*1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -271 (c) -1\/3 (d) 0.04 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -6*2*sqrt(170))\/(sqrt(10) - (sqrt(40)*-2)\/sqrt(4)) + -5)**2*-2.\nAnswer: -6196\/9 + 260*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 2*r**2 - r**2)*(-6*r + r - 41*r + (0 + 0 - 2)*(2*r + r - 4*r))*(0*r - 3*r - r).\nAnswer: 352*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b - 50977 + 48*b + 50977.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let k = -104 - -193. Suppose a*v + v = k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22149147 is divided by 194.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(11\/3)\/t)\/t)\/t**16 assuming t is positive.\nAnswer: t**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(48\/10)*61\/((-7625)\/(-75))*-7.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 7*l + 21. Let n be (-3)\/30*86 + (-8)\/20. Let d be v(n). Let 2\/5*g**d - 1\/5*g**5 - 1\/5*g + 0*g**2 + 0 + 0*g**4 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*v**3 + v**2 - 4*v**2 - 56*v**3 to the form u*v**3 + z + g*v + w*v**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - r + 16, -3*w = -0*w - 2*r + 7. Let v be (4 + -5)\/(1\/w). Let k be -1 - (0 + -3)\/3. Solve 0*i - v*i - 5 = k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -q - 11, -3*q + 11 = -3*j + q. Suppose d - 4 = 3*n - 18, 5*n - 21 = 4*d. Let m = n + j. Sort m, -2, -3 in increasing order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278603.\nAnswer: 13, 29, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 + 2*n**3 + 1 + 1391*n - 701*n + 4*n**2 - 694*n to u*n**3 + v*n**2 + k*n + y*n**4 + z and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = j - 6*j + 5*d, 2*j = -d + 9. Let n(h) be the first derivative of 338 - 4*h - 5\/2*h**2 + 1\/3*h**3. Calculate n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494365 divided by -9?\nAnswer: -831455\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 6. Suppose 0 = f + c*f - 15. Let q = -46288 - -46291. Solve -q*u = -n + 14, f*u + 11 + 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s = 68*s + 3. Let m(p) be the second derivative of 0 + 1\/18*p**4 + 0*p**2 - 4\/45*p**6 + 1\/10*p**5 - p + 0*p**s. Factor m(r).\nAnswer: -2*r**2*(r - 1)*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**2 - 3*w**3 + 5*w**2 - 4*w + 2*w + 4*w**2 - 5 - 19*w**2 to the form v*w + i + x*w**3 + t*w**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l + 95. Suppose 0 = -4*r + 3*i - 29, 2*i = -5*r + 96 - 161. Give o(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0 + 3)**2.\nAnswer: 66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2, g: 1, j: 4, h: 1}. What is prob of sequence dx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let i(y) = -29*y - 8. Let r(a) = 231*a + 66. Let h(v) = 33*i(v) + 4*r(v). Give h(m(g)).\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n - 23. Let t(m) = -1. Let b(v) = q(v) - 5*t(v). Calculate the remainder when b(4) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7246 - -7241. Which is the third smallest value? (a) -25\/6 (b) v (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a252b (base 12) in base 16?\nAnswer: -33a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8)**(-41)\/(g*g*g*g*g**13*g)**(-38) assuming g is positive.\nAnswer: g**356","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 38*n = 8222 - 26150. Calculate the remainder when n is divided by 238.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.41, 0, -343 in increasing order.\nAnswer: -343, 0, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.05568 * 0.05\nAnswer: -0.002784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1009290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 2165\/148?\nAnswer: 2165\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 4. What is the third smallest value in 6\/7, 0.2, h?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-33*2)\/6 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1101 + 1179. Let r(u) = u**2 + 7*u - 1. Let o be r(-13). Which is greater: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {j: 1, s: 1, r: 1, p: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**2 - 1075*q - 483. Let d be n(-119). Which is smaller: -371 or d?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/9, -1.8, 9153?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a tonne in kilograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 13) + (5 - -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52790783.\nAnswer: 52790783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/71400 and 39\/35326.\nAnswer: 74184600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 159.\nAnswer: -47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:08 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 divided by 5.\nAnswer: 406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -55*d + 1. Let v be m(-1). Suppose 1 = -q - 1, 4*a + 2*q = v. Let s = 17 + -14. Solve -2*p + 1 - a = -5*n, -s*n + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(1 + -1*2). Suppose 0 = m + 2*m - 9. Suppose 9 = m*g + 3. Is k < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/((d*d\/(d*d*d**(3\/8)\/d*d))\/d*d)*d)\/d*d)\/((d\/(d\/((d**(-29)\/d)\/d)))\/d)*(d*d*d*d**(3\/14))**(-11\/2))**(-24) assuming d is positive.\nAnswer: d**(-2973\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/((-490)\/15288*26)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6836*-0.6\nAnswer: 4101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -2. Let m be (-256)\/(-20) + -12 + 296\/(-20). Is n at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1625066 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 52423*h**3 - 209752*h**2 - 261875*h + 300 = 0.\nAnswer: -1, 60\/52423, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 + -4 + 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9127?\nAnswer: 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 509*j + 873*j + 318*j to the form y*j + u and give y.\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 - -268. Let u = -1956\/11 + r. Let t = 2683 - 13413\/5. Which is the smallest value? (a) t (b) u (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1213, 2696, 4671, 7384, 11081, 16008?\nAnswer: 22411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 8*z**2 + 10*z - 4. Let m be a(-8). Let l be (12\/7)\/((-8)\/m). What is the highest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25912 - 157985\/6. Let y = d + 3821\/9. Find the common denominator of 115\/18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563176 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (684\/((-570)\/(-30)))\/(-2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*h = 9, -4*m + h + 36 + 9 = 0. Let n be (m - 6)\/((63\/6)\/7). Let y(u) be the first derivative of -u**4\/4 + 4*u**3\/3 - u**2 - u - 1. Give y(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, 2, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 22 = 3. Suppose 5*w = 8 - 3, -v*k = 4*w + 41. What is the common denominator of -117\/10 and 122\/(-12)*k\/12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 7*c**2 + 253*c - 89*c - 85*c - 83*c + 2 as j + g*c**2 + u*c + q*c**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4 and 23\/(-20) - (-20)\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - 175 - 20*u**2 + 174 - 21*u**2 to the form y + l*u**2 + k*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/w)\/(w\/w**9*w)*((w*w**10)\/w)**(1\/50) assuming w is positive.\nAnswer: w**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 25551137?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 + n - 7. Let p be q(6). Suppose 0 = -13*g - 45 - 7. Let t be 1\/7*-26 - g. Sort -4\/3, p, t.\nAnswer: -4\/3, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-36)\/(-4))\/((-2)\/(-4)) and 22 + (-2 - -1) + -1?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725510.\nAnswer: 2, 5, 72551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312 - 302. Let g = -1 - 0. Which is greater: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7165 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 5.7 (c) -2 (d) 2\/3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044141?\nAnswer: 3, 7, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 73*n + 1. Let c be o(3). Suppose 3*h = y - c, 2*y - 2*h - 667 = -y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1033 by 2.\nAnswer: 1033\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*q - 5 = 7, s - 10 = 3*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.033.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - -3046?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5233738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/6)*k*k\/k**3*k*k)\/((k\/(k**(-7\/2)\/k))\/k*k**(-10)) assuming k is positive.\nAnswer: k**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 3*a**2 - 4*a + 2. Let d = -182 + 184. Determine v(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 42*l - 414. Calculate o(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99) + 3.\nAnswer: 4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7850228 rounded to 1 dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*p + 5*p + 2, 0 = -5*g + 5*p + 5. Let f be (-1)\/((-1)\/7 + 0). Suppose 2*k + 3 + f = g. Sort 0, k, -3 in ascending order.\nAnswer: k, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -5\/12*n**3 - 6 + 0*n + 25\/8*n**2. Factor z(m).\nAnswer: -5*m*(m - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995.166 rounded to the nearest integer?\nAnswer: 2995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 27*q - 23*q + 25*q + 53*q as d + r*q and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7436, 30049, 67728, 120467, 188260?\n\"Answer: -j**3 + 7539*j**2 + 3*j - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -24. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n - 543 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*h + 130 - 14, 3*h = -b + 32. Suppose -b*k + 303 = -137. Calculate the smallest common multiple of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24946711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2201*v**2. Let d(f) = 27098*f**2. Determine d(s(y)).\nAnswer: 131273578298*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f**3 - 16\/735*f**7 - f - 1\/1176*f**8 - 8\/35*f**6 + 0 - 33*f**2 - 128\/105*f**5 - 64\/21*f**4. Let l(k) = 0. What is k?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*x - 12*x - 13*x - 9*x**2 - 94 + 20 wrt x.\nAnswer: -18*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 14 + 33 + (4 - -23).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 718200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2353 - -2354) + (88 - -2)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 3*u + 3*u + 4560 + 2*u - 4363 as k*u + l and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-52) - ((-50016)\/832 - 6)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*k + 5834, 3888 = 2*k - 4*p + p. What is k rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*y**2 + 46572*y**3 + 46547*y**3 - 93106*y**3 - 88*y**4 to b*y**3 + d + u*y**4 + w*y**2 + q*y and give u.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10689150 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1724 + -1723.8. Sort 4, -3, 5, -4\/5, r in decreasing order.\nAnswer: 5, 4, r, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1150980 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5)*1\/(-2))\/(111\/370)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(15)\/sqrt(5))**2 - (2 + -2 + sqrt(3)).\nAnswer: -9 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0.2, 4\/11, 0.5 in decreasing order.\nAnswer: 2, 0.5, 4\/11, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**7\/60 - v**6\/120 - 7*v**5\/120 + v**4\/24 + 3*v**2\/2 - 4. Let j(i) be the second derivative of r(i). Factor j(h).\nAnswer: h*(h - 1)*(h + 1)*(7*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**2 + 31*k**2 - 457*k**2.\nAnswer: -372*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(18\/10 + -3)\/((-10)\/25)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 22, 2\/7, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {y: 5, e: 2, b: 8, q: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5224 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + -14*1\/4*-4. Suppose -20 = y*h + 10. Put -5, h, 2 in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 13 + 13. Suppose z = 5*f - x, -3*x + 4 = f - 5. Suppose 3*v - 380 = -3*b - 2*b, 228 = f*b - 5*v. What is b rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:27 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u + 62. Let k(b) = -11*b - 120. Let m(v) = 3*k(v) + 5*l(v). Calculate m(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + 8 + 6 + -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 p, and 1 k when three letters picked without replacement from {n: 3, k: 1, e: 2, u: 1, p: 2, l: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let j(z) = 2*z. Let o(b) = 2*j(b) - 6*n(b). Let m(c) = -c + 1. Let y(w) = 4*w - 2. Let q(d) = -2*m(d) - y(d). Determine o(q(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s = -33151 + 34209 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928431933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l - 9*l + 2*l)*(3*l - 3*l + l + 0*l + 5*l - 3*l + 1 - 1 - l + (-2 + 7 - 3)*(-5*l - l + 4*l) + 3*l - 3*l + l) as y + q*l + s*l**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(350)\/sqrt(160))\/sqrt(5).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-23.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:55 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*6\/(-24) + 21\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/481517 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10534 divided by 2\nAnswer: -5267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heelehae. What is prob of sequence he?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/y**1*y)*y*y)\/y)\/y)**(2\/149)*(y\/y**(-2\/5))\/y**(-2\/9) assuming y is positive.\nAnswer: y**(10787\/6705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1165*l**8\/56 + 77*l**4\/12 + l**3\/2 - l**2 - 18*l + 23. What is the second derivative of z(x) wrt x?\nAnswer: 139800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -895 - -815. Let a = 7072082144 + -7072082064.00000174. Let w = a + y. What is w rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -2*p**4 - 2*p**3\/3 - p**2\/2 + 1. List the prime factors of s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4623650, 9247299, 13870948, 18494597, 23118246?\nAnswer: 27741895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2462.5 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855730493 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**2*r*u**2 - 3*l**2*u**4 + 66*l**2*u**2 + 2*l*r**3 - 3*l*r**2*u + r**3*u**3 + 4*r*u**4 wrt u.\nAnswer: -72*l**2*u + 6*r**3 + 96*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -711664.2 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:27 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213560 is divided by 14183.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6877 + -2?\nAnswer: -6880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -84501.\nAnswer: -84500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -215, -321?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i**5 - 1\/105*i**7 + i - 8*i**2 + i**3 + 0 + 0*i**4 - 1\/60*i**6. Differentiate u(d) with respect to d.\nAnswer: -8*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1\/14, 5 in ascending order.\nAnswer: -3\/5, 1\/14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6672 = 40*b - 36*b - t, -2*b + 3322 = 3*t. Is b a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 426230 to the nearest one thousand.\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 2*b + 18 + (1 + 2 - 7)*(-b + 3*b + b) + (-1 - 1 + 0)*(-1 + 1 - b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1766*s + 188943. Give g(-107).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 30. Suppose 4 - t = -3*c. Suppose 0 = -3*l + 5*o - 9, 3*o + 4 = 4*l + 5. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21823 and 1807.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.983631381 rounded to 3 decimal places?\nAnswer: -1.984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 3*y. Let q = -1233 + 1237. Let u(m) = -2*m**2 + 3*m. Calculate q*v(i) - 3*u(i).\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006899 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(-3*(sqrt(567) + (sqrt(567)*1 + sqrt(567))**2) - sqrt(567)) - (-4 + ((sqrt(567) + 2)*-4 - sqrt(567))))*4.\nAnswer: 756*sqrt(7) + 108912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 52\/5 of a second?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/(-1)*810\/225\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(272) - 1*sqrt(272)))\/(sqrt(88)\/sqrt(176)))\/(-5*sqrt(12)\/sqrt(216)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 - 218. Calculate the highest common divisor of 297 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5380\/3 - -1823. Let w = -29 + k. Which is the nearest to 0? (a) 0.02 (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/4)\/3*(-48)\/42. Find the third derivative of -33*h - x*h**6 + 10*h**6 + 8*h**6 - 5*h**2 + 32*h wrt h.\nAnswer: 1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 20. Suppose 10 = 4*r - 2*y, 0 = -4*r + y + 25 - n. Suppose 3*b - 17 + r = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/5868 and 41\/1154796.\nAnswer: 564695244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v. Let n(g) = 9*g**4 - 3*g**3 + 3*g - 10. Let z(l) = -n(l) - 3*y(l). Find the first derivative of z(r) wrt r.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8407800672 and 376.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11242*q - 11243*q + 733351. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w - 7. Let c(b) = 18*b + 18. Let m(f) = 12*a(f) + 5*c(f). What is the tens digit of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63061 rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2)\/(-2 + (-3324)\/(-1656)). Which is the nearest to -1\/4? (a) x (b) 1 (c) -2\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4891, 9784, 14677, 19570, 24463?\nAnswer: 29356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 13608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 70261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 6*p**2 + 14*p - 3. Let o(m) = -4*m**2 + 13*m - 2. Give -2*a(b) + 3*o(b).\nAnswer: 2*b**3 + 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by 187\nAnswer: -210\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 65866 divided by 49\nAnswer: 65866\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 377304169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*w - 31 = 0, 5*w + 16 = -k + w. Let d be k - (4350\/8 + (-21)\/28). Let g = 1008 + d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/5 - 58*s**2\/5 - 80*s = 0.\nAnswer: -50, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5181 (base 11) to base 14.\nAnswer: -2705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/7 at least as big as 2\/174891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 84 = 3*l + h, -4*l + 3*h + 112 = 0. What is the remainder when 110 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001898 to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/33 and 33\/(-5 + 22\/8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-4) - 0\/(-1). Let m(g) = -107*g + 2. Let j be m(-1). Let s = j + -104. Solve -4*a + s*i = -11, -a - 5*i + 0 + w = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 + -0.00895813.\nAnswer: -226.00895813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 483448\/1899 or 254?\nAnswer: 483448\/1899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 1:25 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v. Let f(j) be the first derivative of -8*j**3\/3 - 6. Calculate k(f(g)).\nAnswer: -56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14415.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52767 is divided by 13173?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 7*f**2 + 2*f - 3. Suppose -5*d - 11 - 4 = 0. Let a(v) = 3*v**3 - 14*v**2 - 5*v + 6. Let p(i) = d*a(i) - 5*j(i). What is p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1464832 millilitres in litres?\nAnswer: 0.0001464832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o + 347 - 329 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + -1.98. Let v be (0 - (3 + -2))*-50. Let m be 4\/v*(-20)\/2. Which is the nearest to -1? (a) m (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 744 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2867 and 189466.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28913, 28909, 28843, 28685, 28405, 27973, 27359?\n\"Answer: -5*k**3 - k**2 + 34*k + 28885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28968, -29176, -29522, -30006?\n\"Answer: -69*v**2 - v - 28898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {l: 3, a: 3, e: 12}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*k = 14 - 36 + 24, 0 = 4*k + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**2 - 5 + 5)*(0*p**2 + p**2 - 3*p**2) + 2*p**3 - 2*p**3 + p**4 + p**4 + 1 - 1.\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55312708.417962 less than 0.04?\nAnswer: 55312708.457962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 97, -2431, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 3*u**2 + 8*u**3 - 2*u**2 - 8*u**3 - 2 - 3*u. What is j(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efyyyyyefyye. Give prob of picking 1 e and 1 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.19 + 6.19. What is the third biggest value in 7\/2, -0.4, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5\/4 - 15585*d**4\/2 - 249189*d**3\/4 - 108957*d**2\/2 + 280341*d + 280314 = 0.\nAnswer: -10382, -6, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2 = -7*z. Suppose 7*l - 2*l = -3*b + 22, -z*b + 24 = l. Solve 2*d = b - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 4 + 0 - 2 - (315 + -269)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6850090 is divided by 1069?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -41. Let r be ((-9)\/(-6))\/((-9)\/m). Differentiate 3*c - c - r*c**4 - 2*c + 3 wrt c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*x = -3448, 3*x = 19*q - 21*q + 2310. 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: Which is the second smallest value? (a) 4\/7 (b) -0.4 (c) -11 (d) -46838\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552 + 32*i**3 - 18*i**3 - 15*i**3.\nAnswer: -i**3 + 552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 33 - 1962*z**2 + 15*z - 53 + 1963*z**2. Calculate h(-14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = -2*z, -2*z - 4 + 22 = 2*x. Determine y, given that 7*y**3 - 5*y**3 + 0*y**5 + 2*y**5 - x*y**3 + 2*y**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -11, 5, -3 in increasing order.\nAnswer: -11, -3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a century in years?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2056 + -108768?\nAnswer: -106712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3424*x + 3418*x - 5404800 = 0. Round x to the nearest ten thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -273.45923 - -0.19923. Let x = n - 11.24. Round x to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-2*sqrt(147) - sqrt(147))**2 + -1)*-2 + 4 + 0.\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 1483*l\/3 + 990.\nAnswer: -(l - 1485)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxcxcxxxcxx. Give prob of picking 3 x and 1 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*u**2 - 8\/7*u - 2\/7*u**3 + 0.\nAnswer: -2*u*(u - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/221 and -1\/337025.\nAnswer: 337025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17081009.\nAnswer: 11, 1552819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 6*w + 2*t + 5, 20 = -5*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 4*n**2 - 8*n - 13. Suppose 7 + 22 = b + 4*l, l = 3*b - 35. Let p = 9 - b. Let j be c(p). Solve -5*w = 1 + j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-1))\/((-2)\/3). What is the third biggest value in -3, -2\/3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1768, 3501, 5248, 7015, 8808, 10633, 12496, 14403?\nAnswer: 16360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2143072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22, -1\/4, -309\/307, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + g - 161, 100 = 8*h - 5*h + 4*g. Suppose 0 = -2*o + h - 32. Which is smaller: -6 or o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i**2 + i**2 + 3*i**2)*(85 + 0*i + i - 89).\nAnswer: 15*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127863 (base 10) to base 4.\nAnswer: 133031313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -27. Let i be (28\/m)\/((-2)\/6). Let n(f) be the third derivative of -f**5\/60 + f**4\/4 + 7*f**3\/6 - 11*f**2. Give n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -831*j. Let k(a) = 2*a**2 - 835*a. Calculate k(s(o)).\nAnswer: 1381122*o**2 + 693885*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 4:31 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 2*v - 4*v)*(0 + 0 - 4*v) + 3*v**2 - 2*v**2 - 2*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let j(f) = 12*f - 12. Let q(o) = o - 1. Let n(c) = 2*j(c) - 20*q(c). Give -9*g(y) + 2*n(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.5.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -408, -3, -38, 2 in increasing order.\nAnswer: -408, -38, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 1, 5.\nAnswer: -7, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8940 or 8947?\nAnswer: 8947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 559, 5, 2.\nAnswer: 2\/3, 2, 5, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 4, 2, 5 in ascending order.\nAnswer: 2, 3, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k**2 + k - 3. Let y be h(3). Let q = y + 161. Put q, -2, 4, 5 in decreasing order.\nAnswer: 5, 4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**2 - 25*u + 8. Is m(-25) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 129*n + 181. What is the least common multiple of k(-1) and 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*b + 14825 = 14814, -b + 50 = -5*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 5221225?\nAnswer: -522121f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43280235 + 2.\nAnswer: 43280237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-30)\/4 - (-22)\/44. Suppose -z = z + 36. Let r be z\/(-27) + j\/3. Solve -4*d + 0*d - 4 = r*c, -d - 3*c + 7 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 6*l**2 + 7*l - 4. Let c be b(5). Let k = 9 - c. Solve -5*z - 5*h = -3*z + 30, 3 = -k*z + 3*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 2. Let t be h(-3). Let l be (0 + 0)\/((-12)\/t). Let f = 17 - 8. Solve -a - 7 = j, l = 2*j + j + f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3302 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 - 0.003022590203.\nAnswer: -178.003022590203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 90415 divided by 5\nAnswer: 18083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113412434.\nAnswer: 2, 56706217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98539 and 2842.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*j + 6316 = 0, 3*g - 3*j + 4*j - 9494 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918704 is divided by 195?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (24\/(-15))\/((-26)\/4810) is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -928? (a) -0.05 (b) -0.7 (c) 0.01 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 971095688 to the nearest integer?\nAnswer: 31162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w. Suppose w = -5*x - 3*a + 37 + 2, a = 3. Calculate the smallest common multiple of 2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f**4 - 92*f**2 + 142*f**3 + 6*f**5 - 33*f**5 + 10*f**5 + 19*f**5 = 0. Calculate f.\nAnswer: 0, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 2, b: 8, o: 3}. What is prob of sequence cbco?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from uunii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 17*m**5\/15 + 98*m**2 + 4*m. Let k(j) = 8*j. Give z(k(n)).\nAnswer: 4352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32473, -64812, -97137, -129442, -161721, -193968, -226177, -258342?\n\"Answer: u**3 + u**2 - 32349*u - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 9. Let f(b) = 7*b**2 - b - 7. Let a(q) = -6*q**2 + q + 6. Let t(i) = u*f(i) - 6*a(i). Calculate t(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303180 to the power of 1\/2, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 - 56*o + 164. Let q be s(11). Let k(z) be the second derivative of -z**2 + 0 + 1\/6*z**3 - q*z + 1\/12*z**4. Let k(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3135, -7652, -15107, -25500, -38831?\nAnswer: -55100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 - 3.9. Let r = 29.7 - y. Let c = -27.9 + r. Is c >= 1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {j: 5, h: 1, t: 2, o: 1, f: 2, e: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d - 7*d**4 + 0 + 0*d**3 + 14*d + 3 - d**3 - 6 to t + k*d**3 + z*d + b*d**2 + h*d**4 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 15602*x. Let q(b) = -195*b. Let z(o) = -4*a(o) - 319*q(o). Let g(m) = 24*m. Let p(r) = -42*g(r) - 5*z(r). Let s(u) = 16*u. Give p(s(j)).\nAnswer: 112*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - j + 5, 0 = -4*f + 2*j - 5*j + 20. Suppose -f*l + 4*l - 25000 = 0. Round l to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463556?\nAnswer: 2, 3, 121963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -86. Suppose -2*t = -3*d - 974, 3*t - i*d - 1447 = -d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 81031461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5900? (a) 8 (b) 1 (c) 1\/8 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*j + 84, 39*j - 35*j + 129 = -3*w. Which is greater: 10 or w?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -223*h + 32. Let z(x) = 5. Let a(n) = c(n) - z(n). What is the first derivative of a(g) wrt g?\nAnswer: -223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 28*m. Suppose 4*o - 15 = -7. Let s(p) = -3*p**2 + 3*p**2 - 2*p**o + p**2. Give s(h(r)).\nAnswer: -784*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) -5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Sort u, 4, -2.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f, 0 = -6*j + 8*j - 5*f + 14. Find the second derivative of 14*s + 23*s**3 + 3*s**j + s wrt s.\nAnswer: 156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/5 - 7148439*h\/5 - 14296882\/5 = 0. Calculate h.\nAnswer: -2, 7148441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) -1.1 (b) 0.04 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 29*m - 1509. Determine z(52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.16*-1.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6\/(-42)*4*7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k - 2. Let o(i) = 106*i + 1 - 85*i - 31*i. What is 3*a(f) + 4*o(f)?\nAnswer: -7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.43 - -0.07. Let x = 11692.3 + -11693. Sort 2\/11, x, l in ascending order.\nAnswer: x, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3608 + 3611. Let u = -8\/7 + 1. Let n = -1 - -3\/2. What is the fourth biggest value in u, -4, o, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + d**2 - 7*d**2 - 5*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 394141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(132))\/((-3*sqrt(60))\/sqrt(5) + sqrt(12)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 241, 2, 391, -2.\nAnswer: -2, -1, 2, 241, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27409351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11426*s**2 + 14 - 63 + 17 + 18 - 6*s + 12.\nAnswer: -11426*s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 9 + 0*x**2 + 285*x - 4*x**2 - 288*x - x**2. Calculate s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -z - 39657, 5*c = -8*z + 9*z + 99132. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 3*a + 1227 = 38*o, 3*o = 4*a + 3651. Calculate the highest common divisor of o and 1767.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i - 1. Let h(u) = 2*u. Let z(o) = 6*h(o) - 2*p(o). Let g(c) = -5*c + 2. Let w(k) = -7*g(k) + 6*z(k). Calculate w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*a**6*p**2 + 3*a**4*p**2 - 2*a**2*p - 4*a*p**2 - 88*p wrt a.\nAnswer: -32880*a**3*p**2 + 72*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25389465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 + 2967*t**4 - 175762*t**3 - 943998*t**2 - 598383*t + 1715175 = 0 for t.\nAnswer: -3025, -3, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m + m**2)*(5 - 6 + 2)*(-1 + 2 - 7).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - -1a9?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 672*z**2. Let h(w) = -5*w + 987*w**2 + 5*w - 988*w**2. Calculate h(d(k)).\nAnswer: -451584*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.78, 1, -0.08, -0.1, 0.4, 4 in decreasing order.\nAnswer: 4, 1, 0.4, -0.08, -0.1, -2.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*p = -330*p - 326*p + 270 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s - 678 = 0. Suppose l = -5*g + 407, -2*l - 77 = -5*g + s. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750760 divided by -460?\nAnswer: 3806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680928 and 692.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 56, 130, 274, 512, 868?\n\"Answer: 4*h**3 - h**2 + 3*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 392\/47 (c) 4 (d) 0 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 - 877047*q**3 + 85486932036*q**2 - 2779975568722896*q + 180337470484616640 = 0. Calculate q.\nAnswer: 65, 97428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-16)*(-11 + -10 + 19)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uduuudouoooouoo. What is prob of picking 1 d, 2 u, and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 313110?\nAnswer: -313032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 - 64*i**2\/9 - 134*i\/9 - 68\/9.\nAnswer: 2*(i - 34)*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192920 and 192920?\nAnswer: 192920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(106 + 131 - 115)*(2 - 1 - 3)*(-3 + 3 + 2*n) to the form v*n + q and give v.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 107*r + 5. Let n be y(1). Suppose 15*l = -l + n. Calculate the lowest common multiple of 3 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -2837.297\nAnswer: 567.4594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-46 - (43 - 45))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {x: 4, t: 6, l: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-2))\/(15\/(-10)))\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*g**2 - 165 wrt g.\nAnswer: -128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62338 and 391636?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:42 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from {z: 2, e: 4, r: 1, a: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let g(s) = 1200*s + 24. Let a(h) = 111*h + 1. Let z(v) = -48*a(v) + 2*g(v). Give q(z(j)).\nAnswer: -5856*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 5*g + 7. Let h be x(5). Let m(k) be the second derivative of -k**4\/12 + k**3 + 2*k**2 + 460*k + 1. What is m(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.99 + -1.49. Suppose -4*d + 4*s + 20 = 0, -3*s = 3*d - 4*d + 9. Suppose -p + 6 = -d*p. Which is the closest to p? (a) 0 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(15\/9)*1. What is the units digit of 2 + (3 - j - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = 5*w, 2 = -0*w - w. Suppose 121 - h = 3*y. Suppose 4*c = 2*a - 106, -7*c = -3*c - 8. Calculate the highest common divisor of y and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 1408 = -49*i - 58*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*k - 95, -486*k = 4*w - 225*k - 256*k - 135 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15239136 to the nearest integer?\nAnswer: 3904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d + 1162?\nAnswer: 10d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 108*x**2 + 2*x - 4. Let g(p) = 107*p**2 - p - 5. What is -4*g(b) + 5*z(b)?\nAnswer: 112*b**2 + 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145304.\nAnswer: 2, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n + 18 = 0. Let f(j) = -3*j + 9. Let x(h) = -7*h + 19. Let l(c) = 5*f(c) - 2*x(c). Let q be l(n). Solve 0*b - b + q = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 9*i + 7. Let t be r(7). Suppose 7*o - 2*o = t. Let q = -1756 + 1784. Calculate the highest common divisor of o and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242194160 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 1695.8.\nAnswer: 1659.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1072 and 503952.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.7 - -5. Let y be ((-27)\/297)\/((-6)\/33). Which is the nearest to 8? (a) 4 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(3*f - 4*f + 3*f)*(135 - 1437*f - 67 - 68 + 13135*f).\nAnswer: 46792*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/4)*a)\/a)**(-40))**(2\/3)\/((a*a**(3\/7)*a)\/(a\/a**(-7)*a))**(-26) assuming a is positive.\nAnswer: a**(-4288\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1022 (b) 0.2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 10*f**2 - 16*f + 1. Let x(p) = -p**2 - 4*p + 5. Let k be x(-5). Suppose k*i + 2*i = -22. Is 18 a factor of t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 0 + 11 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 17. Let s be o(-6). Let l = 25\/6 + -53\/12. Sort l, s, -4.\nAnswer: -4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -1\/2, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016382724 rounded to six decimal places?\nAnswer: 0.001638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 - 4*c**3 + 4*c**3)*(218*c - 9*c - 107*c).\nAnswer: 102*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 421735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 10 = x. Suppose x + 38 = 4*z. Suppose 8*j = 10*j - z. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sosooss. What is prob of sequence soo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -343, -317, 1 in ascending order.\nAnswer: -343, -317, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 4. Let s(p) be the first derivative of -3 + 4\/3*p**o - 2\/15*p**5 - 4\/3*p**3 + 2\/3*p**4 - 2\/3*p. Find a, given that s(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -3\/2, 5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10*y + 9 = 0. Suppose 4*v + 15 = y*v. Let l be (-2)\/10 + (-108)\/v. Calculate the highest common divisor of 14 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1230 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izeiizuuuuziuiz. What is prob of sequence uzu?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43218 - -9724069\/225. Calculate the common denominator of w and 47\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18421 + 18490 + 8*r - 36911.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1839776\/45 or -40884?\nAnswer: -40884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 43*q**2 + 2*q + 1. Let l be o(-1). Suppose 5*z - 4*p - 18 = 0, 0*p + 4*p - l = -5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-6)\/16*(-16)\/(-42).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n. Let p(g) = -36*g - 15. Let x(w) = -5*w - 2. Let l(a) = -6*p(a) + 45*x(a). Let c(k) = -5*f(k) - 2*l(k). Let q(s) = 2*s**2. Calculate c(q(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.911341 - 23\nAnswer: -22.088659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**8\/2352 - i**7\/1470 - 5*i**6\/168 + i**5\/420 + i**4 + 24*i**3\/7 - 2*i**2 - 387. Determine v so that u(v) = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - 13)\/(36\/17) and ((-6)\/16)\/((-63)\/(-1876)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*u + 17*u - 73*u + 6*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374 (base 8) to base 6.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*3*(-4 - 3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.48 + 373.6696.\nAnswer: 373.1896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*m = 572 + 1573 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 20 + 4. Suppose x = 17 + k. Calculate the remainder when x is divided by 16 + (0 - (-2 - -4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0259 + 0.4741. Which is the third smallest value? (a) -1\/18 (b) h (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*q = 2*q - 1, 0 = 3*c - 4*q - 2. Suppose -3*f = -c*f. Solve f*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -413645, -633 in ascending order.\nAnswer: -413645, -633, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194 times -3?\nAnswer: 0.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3))**(-2\/35)*m**(-5)\/(m\/m**(-1\/9)))\/((m**(1\/2))**12\/(m**(-4\/5)\/(m*m**6*m))) assuming m is positive.\nAnswer: m**(-6581\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 35*d**3 - 65*d**2 - 215*d - 120.\nAnswer: 5*(d - 3)*(d + 1)**2*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*p**2 - 24*p**2 + 23 + 4*p**3 + 21*p**4 - 20*p**4 to the form k*p**2 + n*p**3 + m*p**4 + g*p + o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 4*y**2 - 4*y + 5. What is a(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4391099 micrometers in millimeters?\nAnswer: 0.0004391099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -293, 5, -1, -13, -3 in decreasing order.\nAnswer: 5, -1, -3, -13, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 11*l + 66. What are the prime factors of f(11)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -8)*(-38)\/(-171)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29015, -29401, -29787?\nAnswer: -30173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 1615 = z. Sort 5, z, -3, 2.\nAnswer: z, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 20*s - 28. Let j be m(-8). Solve -8 = 2*d, -j*w - 4*d - 7 = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26083963 is divided by 3260494?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -78*m - 25. Is a(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(4\/9)\/x*x))\/(x*x*(x*(x**26*x)\/x)\/x*x))**(2\/9))**(10\/21) assuming x is positive.\nAnswer: x**(-5120\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 325*v**3 + 230*v**2 - 1152906*v?\nAnswer: 1950*v + 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 344097.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 6*m + 19. Let s be n(8). Suppose 5 = t, s*t = -w - 2 + 7. Let b = 14 + w. Calculate the smallest common multiple of 10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 1617*v - 1627*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -59. Let t = m - 30.02. Let q = t - 0.23. What is q rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45738, -45747, -45770, -45813, -45882, -45983?\nAnswer: -46122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*1 + 25 + (17 - 37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-5))\/((b*b**5)\/b)*b**(-2)*b*(b\/b**1)\/b assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 368069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 3121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:42 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Let g(q) = 10*q**3. Let d be g(1). Suppose 8*r + 4*y - 8 = 5*r, -2*r + 2*y + d = 0. Solve 0*w + 2*i = 5*w - 1, r*i = -f*w + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l + 1. Let s(h) = 36*h**2 + 45*h - 45. Let y be -1 + 26\/22 + (-2485)\/55. Let q = 228 - 229. What is q*s(c) + y*j(c)?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-84)*7\/((-7)\/3). Is 0.179 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*o - o. Let c = -773 + 803. What is the highest common divisor of c and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = -b - 11, 0 = -b + 2. Let k be h\/((-3)\/(9\/2)). Suppose 0 = 3*a + 6, 5*l - k*a - 56 = -0*a. Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - r = -143, k - 5*r + 52 = -8*r. Let a = k + 705\/19. Is a >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 - 96\/(-42). Is 1162\/(-4)*(c + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001867619 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 + 2*v**2 + 5*v - 4. Let q be w(4). Suppose -5 = -q*o, -4*t + 12400002 = o + o. Round t to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18431\/20 + 921. Calculate the common denominator of y and 27\/(-36)*(-316)\/42.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 2 - 1)\/(-3). Suppose 152*o - 95 - 57 = 0. What is the closest to -1\/2 in t, 3\/4, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 3*z**3 + 2*z**3 - 3*z**2)*((-3 + 0 + 1)*(10 - 2 - 5) - 3 + 4 - 3).\nAnswer: -8*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 3*n + 2 + 11*n - 5*n. Let y be p(-2). Let u be (y - (-9)\/6)*20\/(-5). Solve -5*o = -3*x + 2 - 4, o = -u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 13 + 13. Let q(t) be the third derivative of 7*t**4\/12 + 579*t**2. What is v(q(j))?\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -2\/3, 5, 76?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -11, 0, 2, -60 in descending order.\nAnswer: 2, 1, 0, -2, -11, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.029 and 0.003?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -4133\/7 and -589 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1097 * 43.\nAnswer: -47171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from tqhqffqqvtuqt.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5 + 20*k - 7 - 3*k. Let h be f(-1). Let z = 29 + h. What is the smallest common multiple of 5 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -93. Calculate the remainder when y\/(12\/18*(-2)\/(-8)) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -666*i**3. Does 48 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, 3, -3, 0.5, 806, -2\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + 1 + 5*p**2 - p**2 + 8*p**2 - 4*p**3 - 2*p**2. Let a(o) = o**4 - o**3 + o**2 + 1. Let d(w) = -4*a(w) + 4*f(w). Factor d(z).\nAnswer: -4*z*(z - 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95933099 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*q - 0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 - o + 3. Determine f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7639591 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114, -496, -1132, -2022, -3166?\n\"Answer: -127*u**2 - u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)**(-11) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q*(q**(-2\/3)*q)\/q*q*q)\/q)*q*q**3)\/(q\/(q*q*q\/q**(2\/7)*q))**15)\/(q\/(q*q*q\/(q\/(q\/q**(-7)*q)))*q**0)**21 assuming q is positive.\nAnswer: q**(5321\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 22 (c) -4\/9 (d) 6909\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdks when four letters picked without replacement from sdsodjk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/8))**(-26))**(1\/65) assuming o is positive.\nAnswer: o**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xox when three letters picked without replacement from xojxoxxjxhojxxxyhxj?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 762671030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 20*v - 192. Calculate the highest common divisor of 512 and v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/14 + 2*2\/(-14). Suppose -f = -4*f + 2*n + 505, -m*f - n + 688 = 0. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 3. Let q be z(-21). Is 22 a factor of 989\/3 + q\/(-18) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8099303640.\nAnswer: 2, 3, 5, 67494197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 + 2080*q + 270400 = 0. What is q?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5054 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.120033 times -0.4?\nAnswer: 0.0480132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-70)*(-11)\/((-110)\/35).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndhg when four letters picked without replacement from {n: 1, d: 2, o: 5, h: 1, g: 2, v: 2}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/32 + 162546\/(-408). Let d = 400 + n. Is d bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 623 and 2966459.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + (13 - (3 - 3) - (-46 + 54)) - -6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-60)\/(-27)) + (-5)\/(-10) and (-754)\/130*(-5)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5\/2, 6 in increasing order.\nAnswer: 5\/2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -42327.\nAnswer: 5\/42327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/(-44)*2\/(-6)*2 and 11\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((110\/7)\/10)\/((-88)\/(-3696)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.1 (c) 2 (d) 3240\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1878964090 and -1.5.\nAnswer: -1878964091.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19449 is divided by 926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z**2)*(-13 + 13 - 13) - 6*z**2 - 5*z**2 - 2*z**2 - 2*z + 2*z + 2*z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 12*g + 3. Let o be j(12). Solve 0 = a + o + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 392, 392, 396, 404, 416, 432?\n\"Answer: 2*u**2 - 6*u + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -939*r + 1697*r - 893*r + 3859 = -1811 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h + 9*h - 11*h**2)*(-4*h + 0*h + 3*h)*(2*h + h**2 - 2*h) + (2*h**4 + h**4 - 4*h**4)*(-h + 4*h - h)*(-6 + 1 + 3).\nAnswer: 15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*i*w**5 + 2*i*w - i + 26*w wrt w?\nAnswer: 3000*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1452*j**2. Let w(g) = 13*g. What is b(w(v))?\nAnswer: 245388*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/i*i\/i**(2\/37))\/(i**(1\/4)\/i)**32 assuming i is positive.\nAnswer: i**(1809\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3580145 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 4*d**2 + 19*d - 46. Let g be t(4). What is the greatest common factor of g and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/1 + 1 - (-103)\/(-10) and -1\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134.9 - -3.1. Let g = -138.00116 + u. What is g rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s - 2*s + 3*s + (-2 + 2 - s)*(-2 + 3 - 2))*(s**2 - 22*s**2 - s**2).\nAnswer: -66*s**3 - 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 3*r**5\/2 - 12*r**2 + 27*r - 1. Let x(q) be the first derivative of c(q). Differentiate x(p) wrt p.\nAnswer: 90*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 195948*k**4 - 587895*k**3 - 1567620*k**2 + 2351532*k + 3135312 = 0. What is k?\nAnswer: -65319, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5240 - 2?\nAnswer: 5238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 9*f + 247 - 430 + 245 + 14*f.\nAnswer: 23*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**3 - 32*f**2 + 35*f - 213. Is t(32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.1. Let h = y - -0.3. Let n = 5\/4 - 41\/20. Sort 4\/3, h, n in ascending order.\nAnswer: n, h, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -0.16, 0.2 in ascending order.\nAnswer: -0.16, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:27 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -186732*p**5 - 704901*p**4 - 394368*p**3 + 116997*p**2 - 6696*p + 108 = 0?\nAnswer: -3, -1, 2\/63, 3\/76, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 84*i**2 + 3442*i + 22109. Give t(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -13. Suppose v*r - 69 = -4*j, -46 = 3*r - 5*r + 2*j. Suppose -n + r = 2. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -120, -0.2, -33\/13 in descending order.\nAnswer: -0.2, -2, -33\/13, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q = 25*q + 60 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -301498, 2\/3, -32?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 112191*d - 3252698 = 0. What is d?\nAnswer: 29, 112162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 10. Let s(k) = 6*k + 119. Let w(t) = -6*t - 104. Let b(j) = 5*s(j) + 6*w(j). Determine 6*b(l) - 17*x(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 greater than or equal to 141988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 1. Let f(u) = u**2 + 6*u - 11. Determine f(t) - 5*x(t).\nAnswer: t**2 + t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2584291\/18 - 143529. Let s = x - 85\/2. Which is the nearest to s? (a) -1\/2 (b) -3\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -421.0645 - -447.9. Let m = 0.0645 + x. Let z = 28 - m. Which is smaller: z or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/153? (a) -0.4 (b) -2 (c) 419\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -15362?\nAnswer: -15367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*l - 2281 - 1463. Calculate the greatest common factor of l and 364.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*i = -86*i + 35. Is 18 a factor of -42*((-1180)\/70 + (-4)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2102963732 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 39029636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {t: 1, w: 2, h: 1, b: 2, s: 3, u: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(4) + 3*sqrt(36)\/sqrt(3))\/(sqrt(196)*-2*-4).\nAnswer: 5*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 79. Let v = -8 - -16. Suppose -3*l - v = -k*l. Calculate the remainder when 29 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftffgfgttfg. Give prob of sequence gtt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-31 - -29 - -19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 28376 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + i = 8, -4*d + i = -12 - 10. Suppose -2*m = d*v - 38, v - 3*m - 6 = 5. What is the remainder when 22 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -122. Let d = -56.7 + l. Let b = -0.06 - 2.94. Sort b, d, -1 in decreasing order.\nAnswer: d, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 37261945.\nAnswer: 37261944.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeelelleeeeeeeeee?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -293 + 292. Let s = 1.4 - 1. Which is the closest to q? (a) -2 (b) 0.23 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5)*a*a)\/((a**(-22)\/a)\/a))\/(a*a**(-6\/7))**1)**(20\/7) assuming a is positive.\nAnswer: a**(2920\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 462880 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 - -162. Suppose -2*n + k + b = 0, -4*n + 3*k = 5*k + 2. Factor -n + 7\/3*g**3 - 10*g**2 + 29\/3*g.\nAnswer: (g - 3)*(g - 1)*(7*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/79, 0.5, -1945?\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/(-35)*105\/30\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p = 24*p + 848. Solve 40 = p*s - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1807 or -15\/8?\nAnswer: 1807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 202 + 217 - 419.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) 4 (c) -3 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*d - 5. Suppose 0 = -a - 2, -22 = 2*x + d*a. Let y(k) = -k**3 - 5*k**2 + 4*k - 4. Does 3 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34955 (base 10) to base 16.\nAnswer: 888b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4032284 is divided by 250.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a**3 - 3*a**2 - 4*a + 6. Let g be (2\/(-3))\/(4\/36). Let w(t) = 11*t**3 - 3*t**2 - 4*t + 7. Let y(x) = g*z(x) + 5*w(x). Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 82 = -70 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*d - 81 = -173*d. Let z(f) = -f**3 + 9*f**2 + 5*f + 7. Give z(d).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-14) + (-44)\/28. Let g be -2 + 3 - (-18)\/(-16). Suppose 3*w = 2*u - 3*u + 6, 0 = 2*u - w + 9. Which is the biggest value? (a) u (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 1 - 0\/1. Let o(s) = 2*s - 2. Let m be o(3). Suppose 0 = v + 3*v - m*j - 60, r = 5*v - j - 75. Solve -4*h + 5*n = -v, 0 = -0*h - 4*h + n + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-9) + 7)*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30937, -123725, -278379, -494905, -773309?\n\"Answer: -z**3 - 30927*z**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let v(x) = -84910*x. Determine v(a(r)).\nAnswer: 84910*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 0, -4*q + 0*v = v + 55. Calculate the common denominator of -1 - -4 - (-4)\/q and 27\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {m: 4, p: 2, h: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*s + 34 = 178*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**3 + 2*u**3 + u**4)*(-35 + 54 + 44) to the form a*u**3 + r*u**2 + b + k*u + s*u**4 and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 - 1499\/9. Is k less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/294 and 113\/420?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97627*m + 106453 with respect to m.\nAnswer: -97627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**5 - s + 5\/2*s**4 - 25 + 1\/6*s**6 - 10\/3*s**3 + 5\/2*s**2. Solve f(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93927.9t in micrograms?\nAnswer: 93927900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**7\/70 + 3*u**6\/5 - 999*u**5\/100 + 413*u**4\/5 - 1746*u**3\/5 + 3888*u**2\/5 + 6*u + 58. Determine c so that v(c) = 0.\nAnswer: 2, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**2 + 7. Let q(z) = -19*z**2. Determine q(p(s)).\nAnswer: -684*s**4 - 1596*s**2 - 931","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*y - 13 = -3*y, -5*t = -y - 41. Suppose 1400 = 20*g + t*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 19075640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -452*b + 455*b - 188, c - 64 = -b. Which is smaller: b or 530\/9?\nAnswer: 530\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*f - f. Suppose 6*j - 7*j + 36799995 = l, -5*j = f*l - 73599975. Suppose 33*i - 31*i = -l. Round i to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltttnntn. Give prob of picking 1 l, 2 n, and 1 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - -1)*(6 - 5). Is ((-1)\/(-3))\/(w\/1062) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s + 4 - 3 + 0. Suppose 2*l - 32 = -2*l. Is u(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 18 + 14. Let y(r) = -14*r**3 + r**2 + 6*r + 6. Let o be y(l). Suppose 2*p - 34 = 86. What is the highest common factor of o and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in -0.05, 2, 8, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from vlvaumalvzavaua?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -987 + 986.577. Let k = m - -0.323. Which is the fourth biggest value? (a) k (b) -2\/77 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 2, 2, 4, 8, 14?\n\"Answer: k**2 - 5*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 213131820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -7. Let x = -25 + p. Suppose -103 = -4*i + j + x, 2*j + 89 = 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + sqrt(72))*-3)**2 + (2*sqrt(242))**2 + ((sqrt(32)\/sqrt(2))\/sqrt(8))**2.\nAnswer: -72*sqrt(2) + 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -24 + 3 + -4 + -3. Let x be (-27 - q)*(-1 - 0). Is (-88 + (-3 - 0))\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-5))\/2*(-35)\/21*-1. Solve -3*u + u = l*r - 33, 4*u = r + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 179 - 47*w - 89)*(-3*w + 1 - 1).\nAnswer: 141*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + -28. Factor q*t**5 + 0*t**2 + 43*t**4 + 22*t**4 + 10*t**3 + 0*t**2.\nAnswer: 5*t**3*(t + 1)*(11*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -6.8, 0.3 in ascending order.\nAnswer: -6.8, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 + 91. Let g be c\/102*70\/(-25). Let k = 4\/17 + g. Which is smaller: k or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/7*4\/(48\/210). Factor 0*r - p*r**4 + 0 + 25\/2*r**3 - 5*r**2.\nAnswer: -5*r**2*(r - 1)*(3*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 + 39 - 39 + 119089*z**2 + 8*z**3.\nAnswer: 16*z**3 + 119089*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/((-102)\/(-84))*4\/14. Solve j*o - 1 = -5*a, -3*o + a + 7 = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*80872\nAnswer: -40436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:07 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2911*q - 2913*q + 4*b, -3*b + 7 = -q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*q + 3*q - 11, 3*q - 3 = -3*l. Let s(h) be the third derivative of h**4\/12 + h**3\/2 + 269*h**2. Determine s(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6495061 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o + o)*(-11 + 1 - 8) + (-12 + 12 + 25*o)*(-1 + 1 + 1) to the form w*o + l and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610677759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**4 - 39*d**3 + 42*d - 22. Let z(w) = 4*w**4 + 39*w**3 - 41*w + 25. Let h(j) = 6*p(j) + 5*z(j). Find the second derivative of h(m) wrt m.\nAnswer: -192*m**2 - 234*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 + 0.1. Let p(t) = -3*t**2 + 115*t + 7917. Let d be p(74). Put -26, -2, k, d in increasing order.\nAnswer: -26, -2, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 7, d: 9}. What is prob of sequence aaz?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -129 - (-3 - ((-3 - -9) + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24531 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 22*t + 9. Let r be o(3). Suppose 27 + r = 3*a. Find the third derivative of -4*c**6 - 28*c**6 - 942*c**5 + 942*c**5 - a*c**2 wrt c.\nAnswer: -3840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55677 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/4 + 6*o**2 - 10*o - 12. Let q be v(5). Let b = -72 - q. Solve -i - b = -1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 6*a**2 + 6*a**2)*(5*a - 3 + 3) + (-a + 0*a + 2*a)*(a - a + a**3) + 5*a**4 - 4*a**4 - 5*a**4.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24405c7 + -26?\nAnswer: -2440620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 220, -234, -1556, -4208, -8652, -15350?\n\"Answer: -77*r**3 + 28*r**2 + r + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -7*d**5\/60 - 4*d**4\/3 - 46*d**2. Let h(j) = -4*j. What is u(h(l))?\nAnswer: -112*l**2 + 128*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and -3.2.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 4\/9, 2, -37 in increasing order.\nAnswer: -37, -2\/11, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3932*k**2 - 469*k**4 + 3 - 7860*k**2 + 3929*k**2 to x*k**2 + m + v*k**4 + d*k**3 + b*k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 4. Give w(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8404 + -8358. Let t(d) = -37*d - 6. Let k be t(-6). Let m = x + k. What are the prime factors of m?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-30))\/(9\/(-90)). Solve -o*n - 10 = -0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -744038.\nAnswer: -74403.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1291, 1231, 1125, 973, 775?\n\"Answer: -23*h**2 + 9*h + 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10674 + -10588. What is the greatest common factor of 8686 and s?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/(3*26\/273).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*x - 59625 = 588*x - 406*x + 489*x for x.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134474?\nAnswer: 2, 71, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 91. Suppose 3*m + 4 = -f. What are the prime factors of ((-3)\/(m\/52))\/((-9)\/(-90))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11089953*u**2*z + 80754*u + 3*z - 4 wrt u.\nAnswer: 22179906*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g + 34. Let j be l(20). Let f = -103 + j. Suppose 32 = 4*t - c, 2*t - 2*c - 5 = f. Calculate the remainder when 13 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*v + 648310 = 9723*v for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kytudidy. Give prob of sequence yt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -537387*n**3 - 1649449*n**2?\nAnswer: -3224322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3912 is divided by 963.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 13*w**2 + 13*w + 47. List the prime factors of b(9).\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36772*5.\nAnswer: 183860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((0 + sqrt(832))*-3 + sqrt(832) - (6*1*sqrt(832) - sqrt(832) - sqrt(832))))**2 + -2.\nAnswer: 748798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -22, 2, 35, 3.\nAnswer: -22, 2, 3, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 17181*w - 550816.\nAnswer: (w - 32)*(w + 17213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/(-2) - (-2 - (-25 + 25)). What is the greatest common divisor of 4 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f + 3*g - 28, 3*f - 2*g = -22. Let z be 6\/f - (-415)\/25. Suppose -4 + z = 3*i - 3*h, -3*i + 7 = -4*h. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 361688 and 2552?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 312*x - 252*x - 114, x + x + 18 = 6*x + 5*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 2, a: 1, c: 2, b: 1, f: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -6\/11, 0.5, -1\/8, -17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*o + 3*j + 1 = -316*o, -2*j - 2 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/4 + 3*i**3\/2 + 3*i**2 + 4*i. Find g, given that l(g) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 61 - 11 - 6 = 6*o, 2*o - 23 = -q + 1 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6. Suppose -2*r + r - 4 = h. Let m(l) = 5 - 3 + l + 2. Determine m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*o + 4*j, 0 = 3*o - 3*j - 2*j + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 3*h = 8100. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htztjjjtjrjjjjjjjh. Give prob of picking 3 r and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 10*k + 9. Let t be i(-9). Let z be 1 + 1 + t + 2. Calculate the lowest common multiple of 10 and 29\/3 - z\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let l be 6*b\/8 + 0. Solve g + 0*g = -4*s + l, 1 = -g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/11)\/(((i**(19\/2)*i)\/i*i)\/i*i*i))**(-45))**(6\/25) assuming i is positive.\nAnswer: i**(1323\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x + 4. Let p be c(0). Let l be (-3)\/(6\/4)*-3. Solve l + 2 = p*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 24587*f - 147468. Give g(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 6, -3, 3, 1, 7, -0.149 in descending order.\nAnswer: 7, 6, 3, 1.5, 1, -0.149, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 63*u**3 - 195*u**2 + 204*u - 66. Let d(b) = b**4 - b**3 - b**2 - 1. Let p(c) = 3*d(c) + o(c). Determine h, given that p(h) = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3968*x - 1289*x - 2688*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*s**2 + 392*s**2 + 420*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n\/n**(2\/13)))**42)**27)**34)**37 assuming n is positive.\nAnswer: n**(21398580\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 23. What is the second biggest value in 3, 3\/5, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e020a2 (base 16) to base 15\nAnswer: -14521cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 811*s**2 - 268*s**2 - 59*s**3 + 1 - 8*s**3 - 272*s**2 - s - 273*s**2 as g + o*s + u*s**3 + b*s**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tww when three letters picked without replacement from {w: 4, t: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/3 + 48*w**3 - 988*w**2 + 5488*w\/3 - 890 = 0.\nAnswer: -89, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1406*z**2 + 709*z?\nAnswer: 2812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (318\/52 - 6)*(-8)\/6. Is 1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7228227 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {h: 1, j: 7, n: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + h = -27*h + 7440. What is the lowest common multiple of 54 and h?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 12*s**2 - 2*s + 104. Calculate d(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*s**2 + 115719*s + 988529217.\nAnswer: 148*s + 115719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205 + -118. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297043 is divided by 73393.\nAnswer: 3471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -59?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let z = -14 - 8. Let r = z - -26. Determine w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 41 = 3*b, -1734*j - 31 = 5*b - 1690*j for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1a6 (base 12) to base 2\nAnswer: 100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**2. Let b(o) = -56*o + 6*o - 6 - 3*o + 27*o. Determine b(g(u)).\nAnswer: 286*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-250)*5)\/(32\/96).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + 140\/16. Calculate the highest common factor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 2:51 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49273, 49281, 49289, 49297?\n\"Answer: 8*i + 49265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*x - 2*x. Let k be (2819*(-3 - -4))\/x. Is k*(2 + -4)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/15 (c) -4\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00077858 rounded to 6 dps?\nAnswer: -0.000779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -82.\nAnswer: 15\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**2\/4 - 6675*k\/2 - 6680 = 0.\nAnswer: -2, 2672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 8*y + 88. What is the remainder when 460 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 1107 = -1548. Suppose 0 = 3*h - 7*h - 5*a + 291, 4*h + a - k = 0. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 15*v**2 - 47*v - 24. Let u be k(8). Let p be 2\/(u\/(-104)) + 6. Let 2\/3*n + n**4 - 4\/3*n**3 + 0 - p*n**2 = 0. Calculate n.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.244424g?\nAnswer: 7244424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-195)\/(-2))\/((-1)\/(-2)). Suppose -3*x + 8*x + r = 5*z, -5*x = 5. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -15, 4*s + 7*y = 2*y + 13. Suppose -j = 4*j + 105. Let a = 20 + j. Put -2, a, s in descending order.\nAnswer: a, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*o**3 - 2*j**3*o**2 + 20362*j**3*o - 2*j**2*o**2 - 21*j**2 + 738343368*o**3 + 1 wrt o.\nAnswer: 12*j**3 + 4430060208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 4*c**2 - 4*c**2 + (c**2 - 6*c**2 + 4*c**2)*(-c + 0*c + 0*c) - 4*c**3 + 3*c**3 + 2*c**3 + (c + c - c)*(0*c**2 + 2*c**2 - 4*c**2).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1266 divide 27565612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 3*s**2\/2 + 4*s - 8. Find the first derivative of n(m) wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t - 5. What is the units digit of b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u - 3. Let o(c) = -5*c - 2. Let l(w) = 9*o(w) - 4*x(w). Give l(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-1\/5))\/g**12 assuming g is positive.\nAnswer: g**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 13922088.2.\nAnswer: 1392208.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -13.\nAnswer: -17\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 104*o**2 + 19*o - 1048. Determine u(0).\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**3 - 382850*z**2 - 765715*z - 382860 = 0. Calculate z.\nAnswer: -1, 76572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/2 - 2330*i - 4665\/2.\nAnswer: 5*(i - 933)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 233.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1314 - 1253. What is the remainder when q is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-110)*(-7)\/((-4)\/(-10)*-1).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((1\/9)\/((-37)\/(-222))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 5 - (1 - 0). Suppose -a*g = -g - 33. Solve -5 = -g*o + 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -7, -0.1, 69 in ascending order.\nAnswer: -7, -0.3, -0.1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - -13) + 3 + (-4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 112 (b) -4 (c) 2\/29 (d) -1\/85 (e) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5558487, 5558493, 5558503, 5558517, 5558535, 5558557?\nAnswer: 5558583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + 0*j)*(0 - j**2 + 0) + (0*j - j + 3*j)*(4*j**2 - 5*j**2 + 2*j**2) + 1 - 1 - j**3 + 7*j**3 + 8*j**3 - 4*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by (-8 + (-40)\/(-6))*-108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(78)\/sqrt(96))**2.\nAnswer: -471\/16 - 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = 4*k + 52, 0 = 2*k + 10. Solve -y = -2*n - 4*o - 0*o, -3*n - 4*o + 23 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-685)\/274*(-78)\/(-15)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -740, 0, 1, -1 in descending order.\nAnswer: 1, 0, -1, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 27 = 4*r + 5, 3*r - 9 = 0. Suppose 4*l - 116 = z*l. What is the remainder when 1\/((2\/l)\/1) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11)*x)\/x**16 assuming x is positive.\nAnswer: x**(-171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**4 + 10*p**3 - 36*p**2 + 162*p - 197. Let h(u) = -3*u**4 - 27*u**3 + 108*u**2 - 486*u + 589. Let z(c) = 4*h(c) + 11*l(c). Factor z(j).\nAnswer: -(j - 3)**3*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 656*t - 1308.\nAnswer: -(t + 2)*(t + 654)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 9 + r**3 + 0 + 46*r + 5*r**3 - 9 in the form g*r**3 + l*r**2 + v*r + c and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 3. Give o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)*a)\/a**(-20) assuming a is positive.\nAnswer: a**(146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1))**(-5\/11)*((f*f*f**(1\/4))\/f*f)**47 assuming f is positive.\nAnswer: f**(423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 8246.\nAnswer: 8246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -26*k + 56*k - 9*k - 6*k. Let r(v) be the first derivative of v**3\/6 + 2*v - 4. Let l(n) be the first derivative of r(n). Give w(l(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*a - 3 = 2, -4*a - 4 = 0. Solve -6*f - 4*p - 24 = -3*f, 3*f + t = 3*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770613 at least 23017953\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13806 by 2.\nAnswer: 6903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**5 - 88*a**3 - 30*a.\nAnswer: 60*a**3 - 528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0 (c) 0.34 (d) -1761 (e) -2 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1459*n**6\/10 + 2671*n**2\/2 - 1922*n + 1. What is the derivative of t(z) wrt z?\nAnswer: -17508*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.2, 6, -0.051, 5, 4?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 6, -1, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 10\/3237?\nAnswer: 10\/3237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23785 + 120618. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by (-6)\/(-27) - 8864\/(-288)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 4*d + 9. Let g(m) = m - 1. Let x(h) = -6*g(h) - k(h). Let w(r) = -6*r**2 + 7*r + 10. Let l = -13 + 20. What is l*x(y) + 2*w(y)?\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1440 - 1439.7. Let p = -5 + 3. Let u = -2.1 - p. Which is the closest to u? (a) r (b) 3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {k: 1, j: 4, z: 1, r: 8, y: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (57\/38)\/(1 - (35\/6)\/7). Solve 5 - f = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 6*u**2 + 5*u - 12. Let z be x(-7). Suppose -3*f - z*m = -38, 0 = 5*f + 2*m + 2*m - 64. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20 + 19)*(-1 + 1). Suppose -16*y + 478 + 98 = q. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/12 - 31*b**3\/6 + 6*b**2 - 7*b - 9. Let z(o) be the first derivative of d(o). Is 42 a factor of z(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1083 - -1082.93. What is the smallest value in -1, -3\/7, c, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 621\/10? (a) 5 (b) 8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)*1 + 2 - sqrt(448)) + sqrt(448) + 1 + -1 + -2*sqrt(448) + -1 + sqrt(448) + 1 + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 996*n - 81551. Calculate q(-90).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 172525, 53 in descending order.\nAnswer: 172525, 53, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -3\/2*l**2 - l**3 + 2 + 0*l. Let a(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.95342 + -0.04658. Suppose 0 = -3*g + 137 - 29. Let i be 4\/(-18) - 1\/g. Which is the nearest to i? (a) 3 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, d: 4, s: 1}. What is prob of picking 1 s, 2 d, and 1 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, y: 2, k: 6}. Give prob of sequence yk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a = t - 30, -3*t - a = -40. List the prime factors of (9\/6 - 3)*(-1030)\/t.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-39)*c*c\/(c*c\/c**(-31)*c) assuming c is positive.\nAnswer: c**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9120\/(-192))\/((-1)\/2). Calculate the highest common divisor of s and 456.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12220119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 11213\/372 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-30 - (-79 - -21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1900 and 36860.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-6)\/(-8)). Let d(u) = u**2 - 3*u - 6. Let b be d(5). Suppose b = -3*g - 8. Is g greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 5 + 5 + 3*i**2. Let s(g) be the third derivative of g**7\/5040 + g**5\/30 - g**2. Let u(z) be the third derivative of s(z). What is u(f(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0. Let i be 2\/1*(0 + -1). Which is the second smallest value? (a) r (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 5. Let u = 14 + g. Let n = -1 + 0. Which is the closest to 0? (a) n (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -103. Let v = 180 - 45. What is the greatest common factor of v and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 103684.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103225 is divided by 233.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1218\/1705?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2508716097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 12*w - 33. Let d be 12\/62*(-6231)\/(-402). Determine m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -513*g**4 - 4*g**3 - 3841 wrt g.\nAnswer: -2052*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 4 = 0. What is the lowest common multiple of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.628797ug in grams?\nAnswer: 0.000003628797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.1. Let q = 451\/3 - 157. Let l = q + 106\/15. Which is the second smallest value? (a) 4 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 3*n**5\/80 + 23*n**4\/4 + 665*n**3\/2 + 8664*n**2 + 12605*n. Factor q(h).\nAnswer: 3*(h + 16)*(h + 38)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/3)\/(-4 + 112\/24). Suppose -x*a + 5*a - 198 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3494 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*i = c + 15, -2*i + 14 = 2*c. What is the greatest common factor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8*-2*-12. Let w(s) = -s**2 - 3*s + 1. Let j(o) = o + 1. Let u be j(-5). Let y(f) = f**2 + 2*f - 1. Let r(v) = u*w(v) - 3*y(v). Calculate r(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1167593 by 2.\nAnswer: -1167593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 + -78. Let k = t + -34. Let p = 193 + -201. Put -2, k, p in ascending order.\nAnswer: p, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012291815 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -270032.23 to the nearest 1000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9162536 and 12?\nAnswer: 109950432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.833 to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17472 + -10097. What is the remainder when l is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183829?\nAnswer: 183829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 53280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = c + 25, 9193*c - 4*g + 20 = 9188*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 - p**2\/2 + 6*p - 16. Let a be i(3). What is the greatest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2042 - 1269. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82134 and 8505.\nAnswer: 2874690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/58218 and -107\/18.\nAnswer: 174654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*b = 5*b + 10, -m - 4*b = 8. Suppose m = -50*l + 55*l - 13715. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.3 - -12.3. Let j = 82.917 + w. Round j to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838*p - 24 = -4*t + 1842*p, p = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*z - 17, 2 = 3*r - 2*z - 0*z. Suppose 0*i - 30 = -6*i. Let l(f) = 2*f**2 - 8*f + 5. Let t be l(i). Solve -c - r*c + t = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1372 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnfnnnnnnfnnn. What is prob of sequence nf?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.6. Let b = 8.088 + -8.1. Let d = 0.412 + b. What is the biggest value in f, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/4 - a**3\/3 + a**2 + 697*a - 4. Is q(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 431 and -1639806?\nAnswer: -706756386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 38, 444, -3, 3 in descending order.\nAnswer: 444, 38, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 8*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -14.1?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*w + 162?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2106*k**5\/5 - 714*k**4\/5 - 280*k**3 + 8*k**2\/5 = 0. Calculate k.\nAnswer: -2\/3, 0, 2\/351, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -120301033 (base 4) to base 10\nAnswer: -101455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j**2 - j**2 + 5*j**2. Let q(l) = 23*l**2. Calculate a(q(n)).\nAnswer: 2116*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/102 + 6\/(-20) + 64077\/774690.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 8 - h**3 + 56 - 15 - 12 - 68*h**2 in the form v*h + j*h**2 + u*h**3 + n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117 in -0.2, 5, 4050, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 9*s**2 - 5*s - 8. Does 29 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 391493 and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 9\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 1459744?\nAnswer: 11677952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:26 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 169 = 175. Suppose 0*t + a*t = 172. 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 the next term in 610841, 1221675, 1832505, 2443331?\nAnswer: 3054153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*m - 1717 = 0, 3*m = -q - 2*m - 448. Let g = q + 433. Calculate the greatest common factor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*u**3 - 3 - 51*u**3 - 4*u**3)*((-2 + 5 - 2)*(6 + 1 - 5) + 4 - 1 - 2) as o + g*u + c*u**3 + m*u**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1652.\nAnswer: 495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 14, 8, -22, -88, -202, -376, -622?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0517803005595 - 0.57.\nAnswer: -0.5182196994405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - -137. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 41106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -16345*z - 833925. Give m(-51).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 5921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -361656 times -12.8\nAnswer: 4629196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from obmoobob.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 3c64a?\nAnswer: 3c64f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x + 1. Let k(d) = 2*d**2 + d - 10. Let p(j) = -k(j) - 5*l(j). Let c = -7 + 8. What is the lowest common multiple of c and p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22122 (base 3) in base 4?\nAnswer: -3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -19c?\nAnswer: 19f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nio when three letters picked without replacement from {l: 9, i: 4, o: 1, n: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2461703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c + 1. Let o be b(-1). Let f(n) be the first derivative of -n**4\/4 - 5*n**3\/3 - 2*n**2 + 2*n + 6. List the prime factors of f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44749 or -0.01?\nAnswer: 44749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.096 + -0.096. Let k = 15 - y. Which is the closest to -0.09? (a) -3\/2 (b) k (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -15. Suppose -s*z + 12 = -z. Solve -z*u - 6 + 2 = t, 4 = -4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*n - 69, 2*g + 3*n = -0*g + 99. Let f = g + -35. Let l = 3 + 7. Calculate the remainder when f is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -514 + 32014304?\nAnswer: 32013350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3920, 17029, 38976, 69761, 109384, 157845, 215144?\nAnswer: 281281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -58. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13074164, -26148345, -39222526, -52296707, -65370888?\nAnswer: -78445069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 52. Suppose 3*s + u = -33. List the prime factors of (8\/s)\/(2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -0.08452, -12\/77, -5\/6 in ascending order.\nAnswer: -4, -5\/6, -12\/77, -0.08452, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29978 - 9?\nAnswer: -29987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/218 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*q + q. Suppose 22*h - 52 = 18*h + 4*w, -3*h + 29 = -2*w. Solve h = d + f, -f - q + 9 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 14*u**2 + 15*u + 3. Let f be q(15). Suppose 5*o = -h + 546, o = h + f*o - 543. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 - 1176*a - 3492 = 0 for a.\nAnswer: -291, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + -261. Let a = p + 124.82. Let d = -1 - a. Round d to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152487 to the power of 1\/2, to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -79 times -10\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*k - 6 = 199*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1186586\/45 or 26368?\nAnswer: 1186586\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76931630 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 1, j: 1, f: 2, g: 1, v: 3}. Give prob of picking 1 g, 1 h, 1 f, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1691, -3385, -5093, -6821, -8575, -10361?\n\"Answer: -u**3 - u**2 - 1684*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 7*o - 8. Let z be c(4). Let i be ((-1)\/(-1))\/(z\/(-52)). Let k = i + -11. Calculate the greatest common divisor of k and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let w(t) = -14*t - 2. Let v(i) = -w(i) - 12*x(i). Let u(l) = l + 3. Give -4*u(r) + 3*v(r).\nAnswer: 2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160 by 5.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592 a factor of 613138062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -1370, -3067, -5438?\nAnswer: -8483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*u - 18 = 2*u, -5*i - 3*u + 4 = 0. Calculate the lowest common multiple of i and 0 - ((-2)\/(-2) + -13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2877 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8920*u**4 - 2163*u + 10?\nAnswer: 107040*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/432 and -157\/380808.\nAnswer: 761616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 15. Suppose -6*v - 44 = -2*v. Calculate z(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03357045 - 0.38.\nAnswer: -0.41357045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**5 + 5*m**5 - 12*m**5 + (-2 - 1 + 5)*(-16*m**3 - m**5 - 1038*m**2 + 1038*m**2).\nAnswer: -14*m**5 - 32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 19*p = 5*u + 1153, 5*p - 3*u = 1438. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3328336727?\nAnswer: 3328336727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/4))**(-18\/7) assuming l is positive.\nAnswer: l**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -374 - -414. Suppose -2*q = -14 - d. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721978?\nAnswer: 2, 360989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6026, -23150, -51690, -91646, -143018?\nAnswer: -205806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279712649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 2*n, 0 - 1 = 2*n + v. Which is smaller: 4\/7 or n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 - 1335.9467?\nAnswer: -1071.9467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/(-115)*6\/(-4).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/18)\/((-1)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-604 - 10*q + 570 + 6*q)*(1 + 2 - 1 + 7*q).\nAnswer: -28*q**2 - 246*q - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -26*y**2 + 96. Let t(r) = 2*r**2 - 8. Let n(v) = -g(v) - 12*t(v). Let k(z) = 28 - 2*z - 78*z - 28. Determine k(n(u)).\nAnswer: -160*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 49, -6 in decreasing order.\nAnswer: 49, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 3144923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2 + 10. Suppose 0 = -2*h + 5*h - 15. Suppose -2*z - 4 = 6, 8 = -m - 2*z. Sort t, m, h in ascending order.\nAnswer: t, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12577 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-26)\/(-117))\/(5\/37) and -3 - (273\/(-90) + -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*m + 584 = 139*m. Solve -2 = -72*d + m*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 82. What is the closest to -2 in v, 5, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -400 + 6572*s**2 - 6574*s**2 + 400. Let f(o) = -450*o. Determine y(f(x)).\nAnswer: -405000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 73692*w + 147395. Determine y(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + 120. Is 18\/15*490\/s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {s: 4, m: 2, n: 3, z: 4, r: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584 - 10738703.\nAnswer: -10739287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16396 and 304039226.\nAnswer: 8198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 92\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-38)\/(-4))\/((-7)\/(-14)). Suppose -2*y - 5*o + 3 = 0, f = 5*y - y - 3*o. Let s = y - -3. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/4 - 17*f**3\/3 + 6*f + 1. Let r be (-291)\/17 - (156\/(-221))\/6. Let d be l(r). Solve -d = -5*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (2 - 11 - 3) + 5 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) 104 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2719*y - 11344 = -1793*y + 322151 + 72585 for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -32. Which is the closest to -0.1? (a) -1 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/((-59)\/118) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 w when three letters picked without replacement from {t: 1, b: 1, j: 1, s: 1, l: 1, w: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p. Let y(v) = -2*v. Let k(h) = 5*h - 5*h + h. Suppose -3 + 9 = -2*r. Let u(d) = r*y(d) - 8*k(d). Give u(q(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 23. Suppose 4*f - 6*f - 86 = 4*n, -46 = 2*n - 2*f. Let m = n - o. Calculate the smallest common multiple of m and 41.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = -0*n + 2*n + 14, -3*b - 22602 + 22581 = 3*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 309 + -309. Suppose -5*p + 6 + 4 = k. Solve 3*t = 7*t + 2*w - 14, p*t - 17 = -3*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 3 (c) 40.4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162\/13*f + 108\/13 + 90\/13*f**2 - 22\/13*f**3 + 2\/13*f**4 = 0. Calculate f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*a - 172*a + 4 - 4 + 14*a as o + y*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2777 + -2774. Which is the nearest to -2\/5? (a) z (b) -0.1 (c) 1.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*w = -24, i - 4*w + 2*w = 8. Suppose -i*a = 3*t - 6*t + 4, 0 = -t. Let l = -183 - -184. Sort a, l, -4 in decreasing order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from bjbbbbxdjddbdjbjbd?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/287 at least as big as 8\/1091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -b?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = g + 22, 1464*g - 1462*g + 8*d = 64. Calculate the remainder when 6\/9 + 980\/6 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 47*c**3 - c**2 + 2*c - 2. Let i be h(1). Let v be (-28)\/20 - (-92175)\/125. What is the greatest common factor of v and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -6 + 9\/4*v**4 + 1\/48*v**6 + 0*v + 8*v**2 + 20\/3*v**3 + 7\/20*v**5. Determine r so that z(r) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 374 - (0 - -2) - (4 + -1). Suppose 198 = -9*n - t. Let i = 252 + n. Is i a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -273 - -269. What is the fifth biggest value in g, 52, -1\/4, 0.2, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07313 + -234.92687. What is the nearest to 0.1 in -2, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4934.694 hours in days?\nAnswer: 205.61225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**3 + 988*s**2 - 59781?\nAnswer: 6*s**2 + 1976*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/702 and 73\/1040.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 240\/20*2\/4. Let u(l) = 5*l**3 + 14*l**2 + l - 8*l**2 - k*l**2 - 11*l**2 - 1. Let n(i) = 3*i**3 - 4*i**3 + 3*i**2 - i**2. Determine -11*n(t) - 2*u(t).\nAnswer: t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26631 - -26630.92. What is the smallest value in -0.1, -1, 2, r, 0.062?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 + 3) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -6999064.\nAnswer: -2799625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 96 (b) 0.1 (c) 3 (d) -21.8 (e) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -2000?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 q when three letters picked without replacement from ioqerijo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -28*m - 1. Let b(u) = 45*u + 4. Let p(a) = -3*b(a) - 5*z(a). Let n(w) = -4*w**2 - 4*w**2 + 6*w**2. Calculate p(n(o)).\nAnswer: -10*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) - sqrt(95)*-2) - -4*(-1*sqrt(95) + sqrt(95)))\/(sqrt(30)\/sqrt(6)*5 + -6*sqrt(5)*-2).\nAnswer: 6*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157567894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -6, -4 in increasing order.\nAnswer: -6, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1954853.11 rounded to the nearest one thousand?\nAnswer: -1955000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3, -83 in increasing order.\nAnswer: -83, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-20)*4 - (-4266)\/(-474).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.51 - -3.61. Which is bigger: n or -0.231?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/420 and 103\/212?\nAnswer: 22260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-416)\/(-1456))\/(2\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 6. Let x(q) = -q**3 + 5*q**2 + 5*q - 1. Let r(v) = -v**3 + 13*v**2 - 34*v - 12. Let k be r(9). Let n be x(k). What is m(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15, 0 = -5*k - 0*k + 2*w - 14. Let r be (9\/2)\/((-2)\/k). Let a = r + 6. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 43415*x + 43412*x = 27, m + 13 = -4*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00501505404 to six dps.\nAnswer: 0.005015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-20)*(-15)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/4 + 1015227*n**4\/4 - 42944482803*n**3\/2 - 64418500863*n**2 - 42946005654*n = 0 for n.\nAnswer: -2, -1, 0, 169206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 4. Let r(p) = 2*p**2 + p - 8. What is 5*a(x) - 3*r(x)?\nAnswer: -x**2 - 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -532356148*f**3 + 18*f**2 - 209488*f wrt f?\nAnswer: -3194136888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197469306 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -2) + 10\/5. Put 0, 5, f in descending order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v. Let w(r) = -7*r**2 + 6. Let o(c) = -c**2 + 1. Let n(f) = 6*o(f) - w(f). Determine d(n(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**8)\/(j\/(j\/(((j*j**(2\/11))\/j)\/j)))*(j*j\/(j*j**13*j))\/j**(1\/6) assuming j is positive.\nAnswer: j**(-1277\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.272742 + -0.026381. Let j = y - 0.2693656. Let f = -0.023 - j. Round f to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79 - -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 31 = -5*p - 1, -3*j + 5 = 4*p. Let r be j\/(-10) - 3\/(-6). Is 2\/67 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 + n**2 + 5*n. What is the remainder when 101 is divided by p(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:41 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1960 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -r + 807 + 132, 5*g + 894 = r. What are the prime factors of r?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 54.9. Which is the nearest to -4? (a) m (b) 20 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -58. Let d = 9.5 + -10. Sort d, a, 1, -6 in decreasing order.\nAnswer: 1, a, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 10:04 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*z**2 + 1033*z**2 - 3 + 0 + 3 - 3108*z**2 + 1026*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100212 (base 4) to base 16.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 5:22 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 + 2*p**2 - 4*p. Let b(k) = -2*k**3 + 3*k**2 - 3*k. Let l(x) = -4*b(x) + 3*c(x). What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 2. Suppose -3*a - 4*k - 6 = 0, 4*k = 5*a - k - 25. Let n be 2 + (-4 - -1) + 4\/a. Give i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73295 + -41938. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntqqaxqvtnt. Give prob of sequence avtn.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 16973?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2091416?\nAnswer: 2, 261427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4 + 27329*g**3 - 18*g**2 - 4*g - 15 wrt g.\nAnswer: 48*g + 163974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81588 and 6276.\nAnswer: 81588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(3\/(12\/(-8))) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111277295.\nAnswer: 5, 131, 169889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744124 is divided by 2382.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10956, -11415, -11878, -12345?\nAnswer: -12816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -642, -924, -1152, -1308, -1374, -1332, -1164?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 425097208421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 11) to base 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5773*y**2 - 65*y - 5. Let r(p) = 7695*p**2 + 87*p + 7. Let x(l) = 11*f(l) + 8*r(l). What is the second derivative of x(u) wrt u?\nAnswer: -3886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -66. Suppose 0*v - 2 = -v. Let m(x) = x**c - x + x + v*x. Give m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 3 + (-3 - -3). Suppose -2*t + l*t + 48 = 0. Find the common denominator of 53\/10 and t\/(-42) + 878\/(-280).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.2. Suppose -192 - 38 = 46*s. Which is the nearest to q? (a) -1\/4 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**7\/630 - o**6\/180 - o**5\/60 + o**4\/9 - 2*o**3\/9 - 23*o**2. Suppose k(r) = 0. Calculate r.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/5 + 94*g**2\/5 + 2994*g\/5 + 2898\/5 = 0. Calculate g.\nAnswer: -21, -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1156 (base 7) to base 3\nAnswer: 121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {f: 1, h: 1, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*s + 6 = 0, -5*r + 110 - 165 = -5*s for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226889168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j**(11\/2)*j)\/j)*j*j**(-2))\/((j*j**9\/j)\/(j\/(j\/j**(3\/7)))) assuming j is positive.\nAnswer: j**(-169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 5 = 72*w - 277 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 3)*4\/(-5). Let w(z) = -4*z - 11*z + 2*z**2 + 0*z + 0*z + a. Calculate the remainder when w(-5) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(3*v + 3*v - 5*v) + v - v - 6*v)*(1 + 3 - 2)*(-3*v + 4*v - 2*v)*(-2 + 1 - 1).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 40. Let r be u(16). Let f be r\/42 - 2\/(-14). Solve -f*z = -0*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8360 and 540.\nAnswer: 225720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - 3*m**5 + 3*m**5 + (-1 + 5 - 3)*(-35*m + 35*m + 100*m**5).\nAnswer: 99*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - x - 1. Suppose 3*c + 5*k = 7, -8 = -c + 3*k + 13. Let a be (-3 + 4)\/(4\/24). Suppose 4*t = 5*r + 1, c*r - 4*r + a = -t. Give v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + 220*j**2 + 68*j + 31. What is the tens digit of x(55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61824058 to the nearest integer?\nAnswer: 7863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 100001101 (base 2) to base 11\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5 - 1530*y**4 - 32590*y**3 + 75930*y**2 + 106992*y = 0.\nAnswer: -743, -24, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 2. Let l(v) = v**2 + 7*v - 6. Let f be l(-8). Let d be -14*((-16)\/(-14) - f). Let m be 0 - (d\/3 + -2). Give w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*13\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 17 in increasing order.\nAnswer: -5, -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913*m**2 - 9*m**3 - 913*m**2.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74152, 74205, 74258, 74311?\nAnswer: 74364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 101, 2, -18, 3, 0, 45.\nAnswer: -22, -18, 0, 2, 3, 45, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0530848 and -0.245.\nAnswer: 0.013005776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 780790595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/21 - 153682*v\/21 - 14636 = 0.\nAnswer: -76839, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 87*d**2 - 7*d - 1742. Give z(-43).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.09 + -16. Let x = s + -1.09. Let h(p) = 2*p + 1. Let c be h(-3). What is the closest to x in 4, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 16 - 7. Differentiate -4*c**j + 4*c**3 + 3*c**3 + 2 + 0 wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*l + 5*l + 4, -3*l + 12 = 0. What are the prime factors of s\/24*(0 + -9) - -223?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 93112069 - 32812069 = 0. Round y to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from ueciuibdc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - 3*g. Suppose 0 = -o - 3*m + g*m + 6, 5*m - 5 = 0. Find p such that 4*p**2 + 5 - 5 + 1 - o*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90489 divided by -27\nAnswer: -30163\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6*l + l + 2*l)*(-3 + 1 + 3) + 1 + 2*l - 1)*(-18*l**2 + 1 + 10*l**2 - 9*l**2) to the form y + f*l + w*l**2 + p*l**3 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 502470584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299742724 by 4.\nAnswer: -74935681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5026*d*h**3 - 2*d*h**2*l**2 - 3*d*h + 78*d*l**2 + d*l - 2*h**3*l**2 + l**2 wrt h.\nAnswer: -30156*d - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.16547g to micrograms.\nAnswer: 39165470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 - 542\/72 and (87\/(-16))\/((-36)\/(-16)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.429237057 rounded to four decimal places?\nAnswer: -0.4292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/22)\/((-10)\/(-4)). What is the closest to 0 in -0.5, -0.01, s, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*k = 0, -13 = -3*k - 1. Suppose 59 = 5*s + f*j, 105 - 30 = 5*s - 5*j. Suppose -12 + 37 = 5*u. What is the remainder when s is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -3 + 0)*(-2486)\/(-4). Suppose 164 = -y + z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 122, -9015, 3, -5 in decreasing order.\nAnswer: 122, 4, 3, -5, -9015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 3*z**2 + 4*z**2)*(-6 - 2 + 0) + z - z + z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -817209*x**3 - x**2 - 168*x + 5481 wrt x.\nAnswer: -4903254*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 44*d + 82. Give m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:27 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-2 - (-129)\/63) is divided by 1 - (-3 + -6 - (-5 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -8, 27 in ascending order.\nAnswer: -8, -3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 3*b + b - b + 48.\nAnswer: 3*b + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 211 - 429 - 2234*u**2 + 30 - 1199 wrt u?\nAnswer: -4468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1452 - -410?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10 + 1)\/(16\/40). Suppose -5*j + 7 = 4*p - 20, s*j - 36 = -5*p. Find the third derivative of -o**4 - p*o**2 + o**4 - 178*o**5 + 163*o**5 wrt o.\nAnswer: -900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 40\/12 + (-44)\/(-12). Sort m, -3, 2.\nAnswer: -3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from uuuuuuuuzuuuuuuuuuuu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*x + 5*s - 10, -x - 2*s = -10. Suppose -x*f = -5*f + 9. Suppose f - 11 = -4*l. What is the lowest common multiple of 9 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5191657 millennia?\nAnswer: 519.1657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702*q - 10320*q**3 + 13775*q**3 + 702*q.\nAnswer: 3455*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*s**2 + 7*s + s**2 + s**2 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l - 122. Suppose 0 = 2*n + 2*n - l. Suppose -5*u = -y - n - 34, 3*y = 9. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -25. Sort -5, -3, y in increasing order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2240 and 2030?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266*s + 597*s - 158355 = 0 for s.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -1 + (-70)\/(-7). Let o(c) = 2 - 2*c**3 - 7*c**2 + 3*c**3 - 7 - c + k*c. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knhjskkk. Give prob of sequence jkkn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 10 + 70 = -46*b, 9145*b = -5*j + 9141*b - 38 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -312\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 + 7)*(4*v**3 + 0*v**3 + v**3) in the form b + c*v**2 + h*v + l*v**3 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36\/9223?\nAnswer: -36\/9223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 12. Calculate c(41).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 9 (b) 60\/31 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21757091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -13. Let h = c - -13. Let x = h - 7.999985. Round x to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -15784*t - 315676. Determine n(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*v - 3, 0 = -4*p + 4*v + 27 + 9. Suppose k - 2*k = -p. Calculate the remainder when 15 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29279.\nAnswer: 19, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 6*u**2 - 6*u + 2. Let y be h(5). Let q be 11\/12 - (-2)\/(-3). Which is the second biggest value? (a) y (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5107228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let w be g(-6). Let b be 5\/w + -1 + 2. What is the second derivative of -x**2 + 5*x - 6*x + 2*x**b wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 590 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9084 (base 10) to base 7\nAnswer: 35325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 6157*s\/2 + 37908649\/4.\nAnswer: (s - 6157)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 5 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9.5. Let j = 1994 + -2005. Put -1, x, j, -0.4 in increasing order.\nAnswer: j, -1, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222 + -116. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3539.\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let x = -109 + 78. Let y = x + 28. Which is the second biggest value? (a) y (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -997?\nAnswer: -997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-2 + 2*f + 2)*(3 - 3 - 1)*(-1 + 3 + 0).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 7:34 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 23*g - 43. Let q(c) = 54*c - 411. Let y be q(8). Calculate x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 3114.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j**2 + 37*j**2 + 18*j**2.\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**5 - 792*t**4 + 47745*t**3 + 184890*t**2 - 5522112*t + 5290272 = 0?\nAnswer: -314, -12, 1, 9, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + f - 151 = -0*f, -q + 33 = -4*f. What is the remainder when q is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 8*r**2 - 8*r + 1. Let b be (60\/(-8))\/(-5)*4. What are the prime factors of c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2. Let x(r) be the first derivative of -r**2 - 23. Calculate z(x(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -44 - (288 - 302).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1079000 rounded to the nearest ten thousand?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*w**2 - 11*w - 8*w**3 + 84*w**2 - 659*w**2 - w**3.\nAnswer: -9*w**3 - 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 5*f - 52*f = 0. Let r(m) = -m**2 - m - 69. Give r(f).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2)\/(-14))\/(2940\/(-5145))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73\/9 in -2, -190\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1348690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:55 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 1340.\nAnswer: 8\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*x - 16403, -4*x + 2*g = 22382 + 10416. Round x to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 5*w. Let k be r(-5). Let o = -5 - -9. Find the first derivative of o - 5 + d**2 + k wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-27)*(180\/810 + 29\/(-9)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 3*d - 12. Let p be s(-3). Let z(y) be the second derivative of y**5\/20 - y**4\/2 + y**3\/6 + 2*y**2 - 11*y. Give z(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/22 (b) 2207995 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*u, -3*d - 3*u = -6*u - 18. Let j(m) = -d*m**2 - 7 + 31*m**3 + 2*m**2 + 8 - 3*m**3. List the prime factors of j(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -482613255 by 28389015.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 25*k**2 + k + 1. Let p(l) = l**3 + 2*l**2 + l. Calculate a(z) - 4*p(z).\nAnswer: -z**3 + 17*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69, 79, 69, 33, -35, -141, -291?\n\"Answer: -w**3 - 4*w**2 + 29*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:59 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88850?\nAnswer: 2, 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -5\/24*j**6 + 0*j**5 + 43\/24*j**4 + 0 + 0*j**3 + 0*j + 8*j**2. Find the second derivative of z(s) wrt s.\nAnswer: -150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 6 + 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxyrxxryxyxx. Give prob of sequence xyyr.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(241*o + 99324 - 99324)*(-o + o - 2*o).\nAnswer: -1928*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whshshshsss. Give prob of picking 3 s and 1 h.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 6*j - 2 - 1)*(5*j**2 - 2*j**2 - 4*j**2) to the form b*j + p*j**3 + s + z*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47.848 - -48. Let i = 64.848 + q. Let j = -64.9999946 + i. What is j rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709065 to the power of 1\/2, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100037 + 100?\nAnswer: 100137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 2*k**2 - 3*k + 14. Let r(w) = -w**3 + 3*w**2 + 2*w - 23. Let i(x) = -3*o(x) - 2*r(x). Give i(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0247 + 0.0753. Which is the third smallest value? (a) 0.4 (b) 13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 5*r - 1 - 4*r**2 + 1\/3*r**3. What is h(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-27)\/2))\/(4\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17108 divided by -2?\nAnswer: 8554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.154558 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -16\/75, -2\/7, 5, 0, 0.3 in descending order.\nAnswer: 5, 0.3, 0, -1\/6, -16\/75, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 0*t)*(2 + 5 - 2) + (t - 3*t - t)*(-1 + 1 - 2).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let m(r) be the first derivative of 21 + 0*r**3 - 40*r + 0*r**2 + 53\/12*r**4. Let d(h) be the first derivative of m(h). What is y(d(n))?\nAnswer: -106*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2076 is divided by 691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(17) - (3 + sqrt(272)))*6 + -6*(0 + sqrt(17)) + 0 + 1)**2*-2.\nAnswer: -20161 - 1632*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (16 + 4760\/(-300))*(-3)\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2177? (a) -4 (b) -5 (c) -7\/4 (d) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 84512357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 495\/550*(-4)\/(-6). Let f(s) be the first derivative of -3*s**2 + 0*s - 1 + 3\/2*s**4 - s**3 + i*s**5. Factor f(z).\nAnswer: 3*z*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:01 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -192.55. Let t = -0.29 - n. Round t to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174010 divided by -16.\nAnswer: 87005\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -3. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -33*m**3 - 34*m**2 - 39*m + 5593. Let y(d) = -16*d**3 - 21*d**2 - 18*d + 2796. Let o(i) = 6*q(i) - 13*y(i). Differentiate o(h) with respect to h.\nAnswer: 30*h**2 + 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(-2\/41)\/(r**7)**(1\/10) assuming r is positive.\nAnswer: r**(-327\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -729\/170 + 78\/17. Let s(n) = -35*n - 1. Suppose -3 + 1 = 2*b. Find the common denominator of s(b) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 13 + 18 - 3 = 0. Put l, 0.2, 2, -0.026, -0.05 in decreasing order.\nAnswer: 2, 0.2, -0.026, -0.05, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 49.5495.\nAnswer: 47.5495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 399.2657 milligrams?\nAnswer: 0.0003992657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 3*h**2. Let a be z(6). Let k = 159 - a. Is k 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 3851 + 0 + 270\/30?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877189693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -665*i**6*n - i**4*n**3 - i**3 - 2*i**2*n**2 - i**2 + 5*i*n**3 + 27*n**2 wrt i.\nAnswer: -79800*i**3*n - 24*i*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-203)\/1 - 5. Suppose -3*b - 3*h = -l, 0*b = 3*b - h - 187. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4977867 rounded to the nearest 1000?\nAnswer: -4978000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 13*q**2 - 12*q - 3. Let h be r(12). What are the prime factors of (-17)\/h + (-2)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004434 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38555 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.069, 5, -2\/31.\nAnswer: -2\/31, 5, 15.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 13*a + 1. Give t(8).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 1. What is d(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 41 = 4*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -6550\/8831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*n**2*q**3 - 4*n**2 - 20964*n*q**3 - 35*n*q**2 + 251*n + 2*q**2 wrt q.\nAnswer: -156*n**2 - 125784*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1041741 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:00 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*k = 133*k. Suppose k + 0*u + 1\/2*u**2 + 1\/4*u**3 = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 1. Let t be s(3). Let x be 2\/18 - t\/(-9). Let j = 0.5 + -1.5. What is the closest to j in x, -3, 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, x: 3, o: 2, u: 4}. What is prob of sequence oxwo?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-21)*y\/y**28 assuming y is positive.\nAnswer: y**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from brcrfhchrhr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 100130203?\nAnswer: 100130211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824364 is divided by 1787.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45278770 divided by -2?\nAnswer: 22639385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 6229157.\nAnswer: 436040.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 16 - 4. Suppose -7*c + 70 = -t*c + 2*r, 4*c + 5*r = 55. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 133, 198?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 28 = -7. Suppose -10*a + 3450 = -f*a. Is 28\/(-42) - a\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32966055?\nAnswer: 3, 5, 113, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9964.84 years to months.\nAnswer: 119578.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 181\/4 + 2\/(-8). Suppose 2*n = 2*f - 1 - 19, -5*f + m = -4*n. Determine l, given that -10*l**5 + 11*l**f - 4*l**3 + 3*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2137025982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -675 - -1796. Let u = t - 296. Let y = u + -434. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r. Let o(w) = -30*w. Let n(j) = -30*m(j) + o(j). Let p(v) be the second derivative of -v**3\/3 + 2*v - 925. Give n(p(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 8*n + 3*n)*((1 - 1 + 1)*(-n - 2 + 2) + 3*n - 3*n + 2*n - 5*n - n + 4*n + 3 - 2*n - 3).\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, 5, -2, -41, 2, 4 in descending order.\nAnswer: 12, 5, 4, 2, 0, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**3\/3 + 3*g**2 - 5*g + 4. What is c(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2. Let g(u) = u + 5490. Determine i(g(b)).\nAnswer: -2*b**2 - 21960*b - 60280200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6304546326 and -0.09?\nAnswer: 6304546325.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c7b4 (base 16) in base 15?\nAnswer: 38eb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7. Let o(n) = -n + 6. What is -6*c(w) - 7*o(w)?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1102 (base 5) to base 10\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/4 + w**3\/3 - w**2 + 157. Give u(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 29 + 43. Solve -d = 4*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((1 + sqrt(1331))*2 + sqrt(1331))*6)**2 - (-2*sqrt(1100))\/((sqrt(4) - sqrt(4)*2*5) + sqrt(4)).\nAnswer: 17419*sqrt(11)\/4 + 431365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 26*v - 3. What is h(27)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 12 - 7*i + 35.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) 4 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/10 (b) 3\/7 (c) -2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(-7*(-3)\/63).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7536884 is divided by 1507350?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 5856.\nAnswer: 40992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - u - 3. Let f(i) = -4*i**2 - 3*i - 13. Let j(m) = -2*f(m) + 9*h(m). Let s be j(-1). Suppose 4*k = 27 + s. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2*p + 4*p - 4 - 2*p. Let g be r(-7). Let j = g + -10. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -3.02. Suppose -2*r + 10 = -8. Let i be (1\/(-3))\/(12\/r). What is the second biggest value in i, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*g - 1, -4*g + 19 = -9*g + 3*n. Let b be -3 + -4*g\/8. Let i(l) = -3*l. What is i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*t - 217*t + 98 = -2*f, 0 = -5*f + 4*t - 301. Let h be ((-98)\/(-4))\/(1\/4). Let m = h + f. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -47*g - 279. Suppose -36 = -t + 5*t - 4*v, 6 = -3*t - 4*v. Let q be s(t). Solve -4*f = 19 - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose 2*d + 2*s = b, s = -s - 4. Suppose -d*p - 3 = -9. Solve -4 = p*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-144)*(-12)\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {d: 1, o: 1, z: 1, q: 1, a: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1706338649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 16 = 8*r - 5*w, r - 4*w + 5 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, e: 1, z: 1, j: 2, g: 2}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46275, -92559, -138829, -185079, -231303, -277495, -323649?\n\"Answer: o**3 + o**2 - 46294*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 17*w**2 + 30*w - 1. Give q(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 28\/13, 0.4, 17, 0, 834 in decreasing order.\nAnswer: 834, 17, 28\/13, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 7767?\nAnswer: 2\/7767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 91*y**5\/6 - 665*y**3\/3 + 699*y**2. Find the first derivative of x(d) wrt d.\nAnswer: 1820*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44044 and 6864?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8)*u)\/u**4)\/(u**5\/((u**(-1\/7)*u)\/u)) assuming u is positive.\nAnswer: u**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4590 divided by 170?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-3\/5))\/(h*h**(-1\/10)*h*h*h))**(24\/7)\/(((h**(-6)*h)\/(h*h**(2\/17)\/h))\/(h**0\/(h*h**(-1\/4)*h*h))) assuming h is positive.\nAnswer: h**(-4973\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omo when three letters picked without replacement from {o: 5, m: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**44)**8 assuming h is positive.\nAnswer: h**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + 7*m)*(2*m**4 + 0*m**4 - 3*m**4) - 15*m**5 + 0*m**5 - 2*m**5.\nAnswer: -19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -0.3, 0.002 in decreasing order.\nAnswer: 5, 0.002, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = q + 60. Solve 2*h = -0*h + q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1080255944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*c = 42, w - 777 = -7*c - 755 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -13*x + 44. Let r be m(3). Suppose -3*k = l + 4*l + r, 2*l - k = 9. Solve -2 + 0 = l*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f**3 + 3*f**3 + 0*f**3)*(0 + 2 - 1) + (4 - 4*f**2 - 4)*(f - 1 + 1) - 2*f**3 - 2*f**3 + 2*f**3)*(f - 31*f + 62*f).\nAnswer: -160*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 4*d + 16, -y - 5 = 3*d - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -3)*20\/(-15). Let b be (-558)\/12*l\/(-6). Calculate the highest common divisor of 62 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43345675 + -1?\nAnswer: 43345674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.058 + 5.942. Which is the closest to -2\/15? (a) d (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 + -20 + (-2)\/(-2). Let a(h) = -2*h**2 - 6*h - 1. Calculate a(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 - -573. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4064160001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 48*b. Let d(u) = u**2 - 15*u. Let j(y) = -5*a(y) + 16*d(y). Let x(r) = 126*r**2 - 2*r. Calculate j(x(h)).\nAnswer: 15876*h**4 - 504*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33184.9 + -33185. What is the third smallest value in t, 0.2, 6\/107?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 10. Let u = 45 + -42. Let q = p + u. Which is the closest to 0.1? (a) q (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 30*c**2 - 295*c - 891. What is the smallest common multiple of 924 and b(-3)?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 8) in base 12?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3066, -3982, -4898?\n\"Answer: -916*v - 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 + 2.5. Sort l, -3, -2.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 0*m - 3*m - 5 + m**2 + 2*m. Calculate r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-3\/7)))**(-2\/23) assuming o is positive.\nAnswer: o**(-6\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -20360 (b) 4 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose 23 = 3*r - 5*d, p*r + 4*d - 11 = 3. Solve o + 5 = r*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 4. Let c(b) = b - 6. Let p be c(-7). Let n = p + 8. Calculate the remainder when r(n) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463242565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 + 124. Suppose -12*b - 5*q - 35 = -17*b, 5*q = -5*b + r. Solve -11 = -b*v + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:54 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73434156.\nAnswer: 2, 3, 2027, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 + (-20)\/175. Let n(a) = a**3 + 5*a**2 + 9*a + 7. Let c be (1 - 0)*(8 + -11). Let k be n(c). Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-3) + (-6736)\/(-5052)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 5*z**2 + 3*z + 4. Suppose 0*k - k - 7 = 0. Let m = 11 + k. Let n be l(m). Solve -4*u - 2 + 14 = n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 + 30420*r**2 - 30424*r = 0 for r.\nAnswer: -7606, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 - 9*j**2 - 6*j - 6. Let b(i) be the first derivative of -11*i**4\/4 + 19*i**3\/3 + 13*i**2\/2 + 13*i + 10. Give 6*b(o) + 13*s(o).\nAnswer: -o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.88 + 1.91. Let w = q + 8. Let j = w + 2.97. What is the biggest value in 2, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*j + j. Solve 2*y = z - j + 11, -5*z = 5*y - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14211 + 14216. What is the second smallest value in r, 0.7, 3\/7, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 - 204. What is the tens digit of (j\/5 - -378) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 734 and 18.\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 9 = 311*w - 316*w, -2*w + 3*d = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 95*r + 192. Let g be p(-93). Solve 99*m = 100*m - g for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 14*z**2 + 14*z + 4. Let n be b(15). Which is smaller: -47\/4 or n?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1004? (a) 50 (b) -136 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -12. Let o = s + -2. Suppose -3*a = -n - 2 - 0, 0 = a + 3*n + 6. Does a = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 20 = -4*n. 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 a be (1\/2)\/(3\/(-36)). Let t = -1 - a. Suppose 0 = -3*j - 5*z + 58, -t*z - 38 - 72 = -5*j. What is the highest common factor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 115 and -0.268924.\nAnswer: -30.92626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 2*d**2 + 2*d + 1. Let o be f(-1). Suppose q + y = -3*q - 5, -2*q + o*y - 10 = 0. Is q\/(3 + 406\/(-134)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 189 + 184 - 373. Let s(b) = -b - 61. Determine s(n(p)).\nAnswer: p - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 + 36*g**2 - 7*g - 93. Determine k(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -5 (c) 4.6 (d) 2\/13577 (e) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b = 6. Suppose 3*d - 3*q - 39 - 57 = 0, -3*q - 26 = -d. Is 40 a factor of b\/(-10) + 5607\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160523 < 160524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3286178.\nAnswer: 2, 7, 234727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 2*u**3 + 5*u**3 - 4*u**3 - u**2.\nAnswer: -u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3837 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3*o + 6*d**3*q + 91*d**2*o + 2*d*l**2*o*q + d*l**2 + 2*l**2*q wrt q?\nAnswer: 6*d**3 + 2*d*l**2*o + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((2 + sqrt(245) + -1 + sqrt(245) + sqrt(245))*1*6)**2*-5)*-4.\nAnswer: 30240*sqrt(5) + 1588316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1827*j**2 - 59*j + 15. Does 132 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 15*p**2 + 3*p + 13. Calculate z(-15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 59*y**2 - 92*y + 14. Calculate the remainder when 279 is divided by i(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (1 - 1))\/1 + -1. Suppose -17*q - 146 + 775 = x. Solve l + 5*b - q = -3*l, 2*b - 25 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-9 + 5)*(-2)\/4*(13023 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -956*j + 969*j + 68 + 36 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326 - 16*i + 9*i + 6*i.\nAnswer: -i + 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 96. Suppose 3*g = g - 10, 15 = -3*x - 3*g. Solve x*z - l = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert fdee2 (base 16) to base 8.\nAnswer: 3757342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027434122 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*b + 45, l = 2*l + 5. Suppose -2*n - b - 10 = 0. Let m(d) = -3*d - 9. Let h be m(n). What is the greatest common divisor of h and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33221 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 179204 and 1.11.\nAnswer: 179205.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w + 41 - 7 + 30 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 102 = -5*b, 2*b = -0*b - 5*m + 35. Suppose 5*n - b - 10 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {h: 2, g: 10, n: 1, v: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/183, 11, -8.833?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7077172, -14154343, -21231514?\n\"Answer: -7077171*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 1. Let a be i(2). Let f(h) = -3 + h + 0 + 1. Let o be f(8). Solve a*j + 0*j - o = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 25528 = -2*m, 0 = 5*m + 3*s - 21122 - 42672. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 32 = -5*o, 6*f - f = 3*o - 32. Let v be (-6)\/o*(0 + -2). Sort -5, 4, v in decreasing order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.992+-0.03808\nAnswer: -13.03008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945671?\nAnswer: 945671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.40119 - -29.4. What is s rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3624 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 140*k + 167. Let z(m) = -71*m - 84. Let n(w) = -6*l(w) - 14*z(w). List the prime factors of n(11).\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*l**3 + 176 - 176.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.41, 0.26, -4, -2\/3, 1, 339?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 396\/16 - (-12)\/(-16). What is the tens digit of (27\/(-2))\/((-12)\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3 - 283531*v**2 + 2551698*v = 0.\nAnswer: 0, 9, 283522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -110*f - 430. Give d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z - 47*z + 190*z**2 - 94*z**2 - 93*z**2 + 26*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 2*x**2 - 3*x - 2. What is q(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 5, 54, 1\/573?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/((-336)\/144). Let g be -1 + 4 + (-16)\/6. Let a be 27\/(-16)*34\/51. What is the closest to g in a, u, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464309469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by 5081?\nAnswer: -165\/5081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-36)\/(-388))*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 360 (b) -499 (c) -0.1 (d) -5 (e) -1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (6 - 77) - 9?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 454, 1816, 4088, 7270?\n\"Answer: 455*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872 (base 9) in base 5?\nAnswer: 21232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.13 + 0.13. Let t = 4 - 3.7. Sort 2\/9, t, f in decreasing order.\nAnswer: t, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 2*z**6\/75 + 4*z**5\/25 + 2*z**4\/5 + 8*z**3\/15 + 2*z**2\/5 + z. Let i(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a + 5?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllslyilyiyi. What is prob of sequence lil?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - 0 - -6 - (158 - 162)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/300 and -137\/719892.\nAnswer: 17997300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6859 = 3*l + 2651, 3*b - l = 5706. Let u = 3102 - b. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 109. Let c(y) = y**2 - 3. What is c(a) - h(a)?\nAnswer: -a**2 + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000125017 rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j - 15*j + 74*j - 5*j + 114*j.\nAnswer: 192*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5999501 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5961, -11953, -17973, -24027, -30121, -36261?\nAnswer: -42453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*i = 557*i - 4900 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1382a (base 16) to base 3.\nAnswer: -11001121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32233400 + 300?\nAnswer: -32233100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 + 218*r**3 + 221*r**2 - 438*r = 0. What is r?\nAnswer: -2, 0, 1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3226493*o**2\/4 - 11*o\/4 = 0 for o.\nAnswer: -11\/3226493, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8711 - h - 8636 + 17308.\nAnswer: -h - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/27 - (-1)\/(-3). Let u be 7 + h\/(9\/6). Suppose -4 = u*y - 7*y. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.376168km?\nAnswer: 376.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*p - 2*u + 37, 2*p + 2*u - 6 = 0. Let i be 2 + -2 + 3\/p. Which is the closest to i? (a) -1\/4 (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00082212915 to 5 decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r*r**(-29\/2))*r\/(r\/((r\/r**(1\/32))\/r))*r assuming r is positive.\nAnswer: r**(463\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 8*d**2 + 5*d - 3. Let g be l(4). Which is smaller: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3 - 7. Let g(j) = j - 5. Let l be g(p). Solve l*v + 3 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 - 2 = 0. What is the closest to -1 in j, -5, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2738 and 1243681?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/22)\/(1\/6). What is the units digit of -3 - (-5 + p + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62535 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.46 and 0.03?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 6, -18*r - 2*c + 34 = -16*r. Suppose 5*k + r = 0, -5*h + 339 = -4*k - 32. What is the remainder when h is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Let u = l - 4.93. Let h = -0.17 + u. Which is greater: -9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.117 - 0.117. Which is the third smallest value? (a) u (b) 26 (c) 1\/6 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12610 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - w = -183, -5*w - 66 = -51. Let q be (-424)\/(-3) - 4\/(-6). Let z = u + q. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t - 28*t = -2*r - 112, -5*r + t = 297. Let f be 201 - (-2)\/(-1 + 2). Let x = f + r. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -11. Let u = 225 - k. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-84)\/98*-7*409?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/90 and (-515)\/(-60) - (-2 + -2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2107904910 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.2. Let r = -337 + 333. Which is the nearest to n? (a) 0.3 (b) -2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**3 + 3*p. Let h(n) = -74*n**3 - 15*n. Calculate -2*h(a) - 11*r(a).\nAnswer: -17*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518228390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -27\/7, -3, 0.8, 64, 4?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.8 at least 5479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 454760.\nAnswer: 4092840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16046 + -11225?\nAnswer: 4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112043 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/43 in -2, -4\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51.1 and 43.93216.\nAnswer: 95.03216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.093 (b) 1.1 (c) 2\/17 (d) -2\/5 (e) -1\/8 (f) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.3 + 4. Let t = d - -2.44. Let c = -0.14000032 + t. Round c to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.5, 2\/3, -0.089 in decreasing order.\nAnswer: 7, 2\/3, -0.089, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-25.3.\nAnswer: -202.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -36*y**2 + 10*y + 5. Let s(t) = 106*t**2 - 27*t - 17. Calculate 17*j(v) + 6*s(v).\nAnswer: 24*v**2 + 8*v - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3753, -3622, -3491, -3360, -3229, -3098?\nAnswer: -2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 403806647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.5, -12, -5, 0.2, -0.097?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-84)\/(-39))\/((-249)\/(-2158))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -6767.38?\nAnswer: -27069.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.502803*-3.6\nAnswer: 1.8100908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5225 is divided by 1736?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075842 divided by -35753?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06109 + -0.03891. What is the closest to m in 0, -12, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - (7 - 10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 675*z - 5275. Give x(8).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 11*n**3 - 13 - 2*n**6 - 15\/2*n**2 + 0*n + 99\/4*n**4 + 39\/5*n**5. What is o in z(o) = 0?\nAnswer: -1, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46713 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -12045616?\nAnswer: -12045613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 14*j - 30. Give h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30194577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1104 + -1094. Suppose 105 = -v*h + 165. Factor 15\/2*u**2 + 12*u + h + 3\/2*u**3.\nAnswer: 3*(u + 1)*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 3*l**3 + l**2 - 5*l**3 + 4*l**3 as r + z*l**2 + c*l + q*l**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {m: 12, t: 3, y: 1, b: 2, h: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4305459, 8610920, 12916381, 17221842, 21527303, 25832764?\nAnswer: 30138225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*n + 15, -251*w + 252*w + 4*n + 33 = 0. What is the second biggest value in 4\/7, w, -4, -0.4, 3\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + l**4 - 5*l**4 + (-3 + 3 - l)*(0*l**3 - l**3 - 3*l**3) - 1333 + 32*l**4 + 1333 to the form n*l**3 + q*l + a*l**4 + r + s*l**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**0*r*r)\/(r*r\/(r\/(r\/(r\/(r*r**(1\/4)))))))**(-1)\/(r**(-2\/5)*r*(r\/(r**(-6)\/r))\/r)**(-6) assuming r is positive.\nAnswer: r**(877\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let z = -4 - -6. Let q = z + 1. Solve k*g + q*g - 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 25944724.\nAnswer: -5\/25944724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:18 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -136.9. Let z = 13\/66 + -1\/66. Which is the third smallest value? (a) z (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(1741 - 1739 + 64*f + 27*f) as k + c*f and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:33 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.46 - 149.46. Let z = 143 + j. Let n be 1 - (-1 + 1 + 2). Sort -2\/3, z, n in decreasing order.\nAnswer: -2\/3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358103526?\nAnswer: 2, 13, 52234751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p*p*p*p*(p\/(p**(1\/3)\/p*p))\/p)\/p)\/p**(-5\/4)*(p*(p\/p**(2\/3))\/p*p)**18 assuming p is positive.\nAnswer: p**(359\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c + 9. Let k(v) = -5*v + 4. Let j(h) = -9*k(h) + 4*x(h). Let p(q) = q**2 - q + 34. Let i be p(-10). Let g(l) = -144 + 2*l + i. What is g(j(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10232 = 18*r - 20*r. Suppose 11*y - r - 2595 = 0. Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -104887*i - 2307544. What is q(-22)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57159, -114622, -172085, -229548, -287011?\nAnswer: -344474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaeeeaaea. What is prob of sequence ea?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 + -212.1. Sort -3, 3, p, 2\/7.\nAnswer: -3, p, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 - 59*s + 10. Determine u(-16).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3403*m**2 + 2*m + 2. Let l(i) = 6836*i**2 - 5*i - 5. Determine 2*l(x) + 5*q(x).\nAnswer: -3343*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000100674 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81262860 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/5562 and 77\/432.\nAnswer: 44496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29327, -61949, -94571, -127193?\n\"Answer: -32622*u + 3295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2114404165 + 3?\nAnswer: 2114404201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, v: 6, b: 1, a: 1, u: 3, q: 1}. Give prob of sequence qq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 45*i - 46*i = -90*i + 5, -5*i = -7*m + 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-2*r + 2*r + 3*r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2 + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z**2 - z - 12. Let q(u) = -16*u**2 + 2*u + 18. Let g(d) = 7*h(d) + 5*q(d). Factor g(l).\nAnswer: -3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, z: 1, f: 1}. Give prob of sequence fb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122.93 rounded to the nearest 10?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 17 - (-2 + 8 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04608626 to four dps.\nAnswer: 0.0461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448)*3 + 5 + 2 + sqrt(2448)*1 + sqrt(2448) + 0 + 0)**2.\nAnswer: 1008*sqrt(17) + 88177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -31, -66, -115, -178, -255?\n\"Answer: -7*f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4892\/3 + 274051\/168. What is the common denominator of ((-2)\/32)\/((-3)\/(-246)) and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/(-3)*4\/(-110)*5. Solve -4*c = 2*k - s, -2*c + 5 = -6*c + 5*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 5*b - 48*b + 53*b. Let o(t) = 119*t - 1. What is w(o(g))?\nAnswer: -28322*g**2 + 476*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 15*i. Let j be y(8). Suppose 52 + j = c. Let u = c + -68. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:38 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*j = -73*j + 3*t + 95379, -j + 31793 = -4*t. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18562.455 rounded to the nearest one hundred?\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32698 in -9, -2\/3, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5)*g)\/g)**2*g**(-3\/2)\/(g\/((g\/(g*g**15*g))\/g)) assuming g is positive.\nAnswer: g**(-187\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 25 + 19. Find the third derivative of x*z**5 - 2*z**2 - 5*z**5 + 3*z**2 wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s + 20*s - 182 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184*i - 15171 = 28637 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1483943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from geegbbebegg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 20*p - 1.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 9*p - 6. Let g be z(8). Let x(b) = -3 + 4 + 8*b**2 + 10*b**g + 0. Is x(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -935, -2086, -3323, -4640, -6031?\nAnswer: -7490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3037*c**3 - 6*c**2 + 2*c - 386995 wrt c?\nAnswer: -9111*c**2 - 12*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 50 - 5*u + 5*u - 5*u - 10*u. Let a be k(3). Solve 3*q + 5*n + 10 = 0, -q - a*n - 4 = 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 28 - 34. What is the units digit of (-3)\/6 + (457\/l - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 9 + 0*u**4 + 0*u**3 - 3*u**2 - 37\/60*u**6 + 0*u + 49\/30*u**5. Find the third derivative of a(l) wrt l.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*f - 8, n - 3*f = -3*n - 8. Let j(w) = 2*w**2 - 2. Let c be j(n). Suppose 40 = 2*k - 5*q, -k = -4*q - c - 20. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 14 + 6. Suppose -2*l - 3*t = -156, 5*l + i*t = -3*t + 395. Suppose 5*x = -5*j + 185, 3*j - l = j + 5*x. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/3)*d)\/d*(d*d**(4\/9))\/d)**(2\/41) assuming d is positive.\nAnswer: d**(38\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102.55 + -106.55. Which is the nearest to -3? (a) 3 (b) 5 (c) -72 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**2 - 2*m**2 + (-34*m + 166*m + 12*m)*(-1 + 0 - 417*m + 425*m)*(0 + 5 - 3).\nAnswer: 2302*m**2 - 288*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 31*u + 221. Let t be h(-7). Let f(r) be the third derivative of -1\/12*r**t - 4*r**2 + 0*r - 2\/3*r**3 + 0. What is the first derivative of f(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 54. Suppose 2*r - r = 4*k - 110, -l*k + 56 = -r. Suppose 0 = v + 3 - 10. Calculate the remainder when k is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -h + 4, 53*h - 50*h - 2 = 5*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d**2 + 6*d - 13. Calculate b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75507892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 3*z - 3*z - 2 + 7*z to c*z + p + g*z**3 + k*z**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1782*m - 145*m**3 + m**2 + 1781*m - 17*m**3 - m**2 + 2*m**2 in the form y*m**2 + i*m + c + b*m**3 and give b.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*t = -u - 98400006, -5*t + 98399982 = -u. Let h be 4\/(((-3)\/(-4))\/3). Let j be u\/12 - 4\/h. What is j rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21420 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2)\/(5 - 7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 4. Let a be o(-4). Suppose -59 = -4*u - k - a, 2*k = -4*u + 34. Suppose -1 = -h + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Suppose -a*i - 24 = -7*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6985 - 6980. Let g(f) be the second derivative of f**5\/2 + 7*f**4\/12 - 5*f**2\/2 + 2*f. Let a(v) = -v**3 - v**2 + 1. Calculate q*a(s) + g(s).\nAnswer: 5*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 2*m + 2*m)*(-3894*m**2 - 3899*m**2 + 7792*m**2 - 11462*m) to q*m + v*m**2 + y*m**3 + i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*2\/4. Let i = -29 - -33. Let o = -2 + 1.5. Sort h, i, o.\nAnswer: o, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 104. Let r(x) = 5*x**2 - 2*x. Let a(j) = 5*j - 3. Let p be a(2). Let z(t) = -9*t + p*t - t**2 + 2*t + 1. What is g*z(q) + r(q)?\nAnswer: 3*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -3. Suppose 28 = 2*p - 0. Let i = p + -156\/11. Which is the closest to 0? (a) q (b) i (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 163*z - 11952. Give n(-219).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, b: 1, w: 4, u: 7}. Give prob of sequence luw.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114830 (base 13) to base 12.\nAnswer: -179355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380148*d**3 - 6*d**2 + 3*d - 383.\nAnswer: -2280888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/19860 and 81\/106.\nAnswer: 1052580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 26*f**2 + 0*f + 1\/4*f**4 - 7 - 25\/3*f**3. What is the second derivative of b(g) wrt g?\nAnswer: 6*g - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 + 0\/1. Let o be (16 - 2 - 3) + a. What is the remainder when (-1 - 1)*(-4 - o) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 3) to base 15\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/40 (b) 10 (c) 5.3444\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*a + 3*u + 2*u, -4 = 4*a - u. Solve 2*s + 0*s - 10 = a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79011462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 0*i**4 + i**4)*(-2*i - 22*i + 10*i) + (12 - 5*i - 12)*(3*i**4 + 3 - 3).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4054 by -385.\nAnswer: 4054\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.129721030416 and -24?\nAnswer: 25.129721030416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*w + 88, 0*w + 92 = 2*m - 4*w. Let j = 68 - m. Calculate the greatest common factor of j and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 4757?\nAnswer: 856.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11001000000011110010110?\nAnswer: -11001000000011110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -5*f - a, 58*f - 61*f = 3*a + 12 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217594575?\nAnswer: 3, 5, 11, 87917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n + 112 = 52*n. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 16*l - 42. Factor -1\/6*q**l + q**2 - 2*q + 4\/3.\nAnswer: -(q - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 61 + 4*w**2 + w**3 + w**2 to o*w**2 + t + l*w + v*w**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 13*y + 12*y to x + d*y and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:05 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -31, 8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*a**4 + 7247 - 7247 + (-6*a + a + 2*a)*(3*a**3 - 3*a**3 + a**3).\nAnswer: 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {g: 2, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 3902*z - 286128.\nAnswer: (z - 72)*(z + 3974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 20. Let c be w(6). Let t = -14 + c. What are the prime factors of (-60)\/(-180) - (322\/t - -1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/21)\/(4\/(-26184)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/7 - 266\/(-49). Find the second derivative of 6*b**g - b**5 + 2*b - 11 + 11 wrt b.\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104409775 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329287963801648290.99999563 + 329287948989180246. Let i = b + 14812468767. Let a = i - 722. What is a rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**3 - 232*x - 11 wrt x?\nAnswer: -6*x**2 - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*g = 299*g - 112995. What are the prime factors of g?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -936 by 9.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1487, -11782, -39713, -94094, -183739?\nAnswer: -317462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**5 - 2*v**3 - 12*v. Let j(a) = 27*a**5 + 7*a**3 + 37*a. Let i(x) = -2*j(x) - 7*t(x). Find the second derivative of i(o) wrt o.\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 19 = -3*r + 4*p, 3*r + 3*p + 18 = 0. Let w be (r + 9)\/4 + -2. Solve w = -5*n + m - 6, -3*n - 16 = n + 2*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 not equal to -32317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1161, -8531, -28501, -67371, -131441, -227011?\n\"Answer: -1050*a**3 - 20*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (-2990323)\/42)\/((-11)\/6 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.114 and -207 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -84df81?\nAnswer: 84df8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86119\/333 - -2320\/9. What is the common denominator of 102\/(-8) + 2\/8 and b?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147 (base 13) to base 6.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*w**3 + 68*w**3 + 113*w**3 - 186*w**3.\nAnswer: 122*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 229*w + 1628. Give v(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -37*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3 - 15. Let j(r) = r**3 + 5*r**2 - 6*r + 5. Determine j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5363\/30 - -1069\/6. Which is the closest to 2\/85? (a) 0.4 (b) -2\/19 (c) l (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unujujug. Give prob of picking 1 u, 1 n, and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**(-29\/3)*v\/((v*(v*v**(2\/23))\/v)\/v)*v*v**(1\/6) assuming v is positive.\nAnswer: v**(2319\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158660*m**5 + 17785*m - 3 wrt m?\nAnswer: -3173200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/225 - (-128)\/60. Solve b*y = 5*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 = -5*i + 31, l = -4*i + 13. Let x be (-6)\/i*16\/(-6). Let n = 248\/3 - 82. Which is the biggest value? (a) 0.4 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 + 11. Let w(l) = -4*l**2 - 6. Let p(u) = 6*m(u) + 11*w(u). Let r(t) be the first derivative of 2*t**3\/3 + 13. What is r(p(f))?\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 17*r**2 + 635*r + 7896. Give i(-13).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z**2. Let q(c) = -5*c**2 - 15*c. Let a(o) = -4*o**2 - 10*o. Let s(v) = 3*a(v) - 2*q(v). Give i(s(g)).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 + 735*x + 19600 = 0.\nAnswer: -112, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 622, 1460, 2622, 4102, 5894, 7992?\nAnswer: 10390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*g**6 + 2*g**4 - 63*g**2 - 2*g?\nAnswer: 15600*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 7*o - 6. Let v be 4\/6 - (-80)\/15. Let a be w(v). Suppose -u - u = -a. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 31 = -4*c, 4*g + 5*c - 27 = 13. Suppose 0*t + 37 = -g*t + 3*n, 8 = 2*n. Let p(m) = -19*m + 2. Is p(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 79*u**2 + 22.\nAnswer: -79*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-350) - (-255)\/(-21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-4)\/(-48)). Let r(i) = -4*i + 23. Let u be r(6). Let y = u - b. Sort -3, y, 2 in decreasing order.\nAnswer: y, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*12\/(-2). Let h(x) = -4*x + 1. Let y be ((-1)\/3)\/(1\/3). Let o be h(y). Put o, 1, m in descending order.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 less than or equal to -15883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(1*sqrt(176))*3.\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 19. Let v be (-33)\/(-6) - (-3)\/(-6). Let f be o(v). Which is the fourth smallest value? (a) f (b) 5 (c) 1\/3 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -307718.8.\nAnswer: 2769469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.3433 milligrams in tonnes?\nAnswer: 0.0000002843433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180292496 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876892 is divided by 146147.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Suppose w = -4*l + 63 - 7. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/(-4))\/(2\/(-4)). Let r(l) = -l**3 - 12*l**2 + 14*l + 16. What are the prime factors of r(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6997*p**3 - 26*p**2 - 96*p + 22. Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*g**3 - 69*g**3 + 34*g**3.\nAnswer: -116*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iociviiiuiuo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/7 - 4)*(-14)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10418311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 3, m: 4, w: 1, n: 1, z: 2}. What is prob of sequence bez?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i. Let d = -5 - 3. Let u(y) = 14*y. Let b(n) = d*c(n) - 5*u(n). Let h(z) = 6*z + 6*z - 11*z. What is b(h(k))?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*l**2 + 46*l**2 - 156 + 41*l**2 - 776*l + 74*l**2.\nAnswer: 4*(l - 39)*(5*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91620676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*m - 249*m + 6657 = 0. What are the prime factors of m?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 49*t**3 + 17*t**4 - 49*t**3 + (t**3 - 6*t**3 + 0*t**3)*(-5 + 6*t + 5) - 4*t**3 + 2*t**4 + 4*t**3.\nAnswer: -11*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - z + 91 - 4*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4698, 4010, 3340, 2688, 2054, 1438?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h. Let g(p) = -4*p. Let w = 44 - 39. Let j(k) = -w*k + 13*k - 10*k. Let d(z) = 2*g(z) - 6*j(z). What is d(f(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*h - n, -h + 3*n + 26 = -0*h. Let m = h - 61\/3. What is the third biggest value in 3, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q - 23. Let h be u(9). Let g be (-4 + h)*(-2 + 1). Suppose j - 88 - 35 = y, 4*j + y - 507 = g. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 307 - 2118?\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*192\/(-42)*-7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 513 = 2*t - 29, 4 = -2*t. Let y be (-2)\/3 - (26 + (-2500)\/60). What is the highest common factor of l and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11911 divided by 5?\nAnswer: -11911\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 3717*i**3 + 55593*i**2 + 233275*i + 181398.\nAnswer: (i + 1)*(i + 7)**2*(i + 3702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2662.41752571 + 2606.417526. Let u = r - -56. What is u rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:29 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -19. What is the remainder when v is divided by -4 - (-7 - (-16)\/(-4)) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taaaajqwjw. What is prob of sequence wwq?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, -5, -13, 124, -115 in descending order.\nAnswer: 124, 12, 2, -5, -13, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 2977, 10043, 23795, 46459, 80261, 127427, 190183?\nAnswer: 270755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 60, -194, 5, 11, 4, -4 in descending order.\nAnswer: 60, 11, 5, 4, 0, -4, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6*v**2 + v**2 - 7 - 12*v**2.\nAnswer: -5*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l - 10. Let b(g) = -3*g - 1 + 2*g - g + g. Let a(k) = 20*b(k) - 2*i(k). Let c(z) = 2*z. Give a(c(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bllvlllbbellvevll. What is prob of picking 1 l, 2 e, and 1 b?\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 3*r)*(2 - 1 + 1)*(0*r + r + r) - 4 + 9 + 31*r**2 - 6.\nAnswer: 39*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486440?\nAnswer: 2, 3, 5, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 6*y + 28. Solve 5*q - 3 = -y*f, 0 = 3*q + 3*f - 0*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -161*x - 2413. Let j be o(-15). Which is the nearest to -8? (a) 0.3 (b) 0.9 (c) j (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 43?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -4*r**3 + 13. Let c(l) = l**2. Calculate m(c(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*w. Suppose -2*s = w - 10. Suppose 2*l + 0*l = s. Is l at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340200301 + 40?\nAnswer: 340200341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and (-96)\/9*(-8175)\/20?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.268 and -0.19.\nAnswer: 23.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 46*j**2 - 985*j - 72. What is t(-62)?\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 7. Suppose 5*l = -4*l + 45. Suppose -l*b - a = -5, 0*b + a - 5 = 2*b. What is d(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (1 - 0) + -2. Let i(s) = s**2 + 4*s + 8. Let z(u) = u - 1. Let l(m) = -i(m) - 2*z(m). Calculate l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 419*i**3 - 5*i**2 - 10*i + 36. Suppose 0 = -6*z + z + 30. Let w be a(z). Round w to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 - 5. Let z = -193 + 196. Which is the third smallest value? (a) z (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:04 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -258*d + 255*d - 2*l, -19*l - 76 = 0 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(10\/(-6)) - -8. Suppose -2 = 4*p - n*p. Let b(u) = 2*u**3 - 72*u**2 + 134*u + 73. Let d be b(34). Solve s = p*s + d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*sqrt(228)*-2*-3)\/(3*-2*sqrt(972)) + -1)*-1.\nAnswer: -4*sqrt(19)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52.1 - 29.8. Let m = 43 + -21. Let c = a - m. Sort 0.2, -4, c in increasing order.\nAnswer: -4, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -143. What is the highest common divisor of c and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.24 and 0.32343?\nAnswer: 0.08343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2) - 1)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/3 - 2*n**3\/3 + 3*n + 4. Let m(i) be the first derivative of f(i). What is the second derivative of m(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8618, 11, 0, -2, 4, -1 in increasing order.\nAnswer: -8618, -2, -1, 0, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201320222033 - 1013?\nAnswer: 201320221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-55)*(-444)\/(-63). Let d = 2\/385 - p. Sort -3, 1\/3, d.\nAnswer: -3, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2. Let x(j) = 40130210*j. Determine f(x(p)).\nAnswer: -17714771301085100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 80614, 80879, 81146, 81415, 81686?\n\"Answer: k**2 + 262*k + 80351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 5633362*h**2 + 5*h + 5633367*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.3 (b) 1 (c) -1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o. Suppose o = 2*f + 3*f - 40. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*v - 94, 37 = 5*u - 5*v - 73. Let d = -9 + u. Suppose -3*i = -4*i + d. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 23*m**2 + 33*m + 39. What is q(-2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3599, -14472, -32611, -58016, -90687, -130624, -177827?\n\"Answer: -3633*s**2 + 26*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03374752 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37543, 75434, 113327, 151222, 189119, 227018, 264919?\n\"Answer: p**2 + 37888*p - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-29\/2))**(1\/19)*(g*g*g**0)**(-1\/9)\/((g**1*g)\/(g\/(g\/((g\/(g*g\/(g**5\/g)))\/g)))) assuming g is positive.\nAnswer: g**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1904 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14944, 28109, 41260, 54391, 67496, 80569?\n\"Answer: -n**3 - n**2 + 13175*n + 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 - o**5\/20 + 11*o**4\/24 + 7*o**3\/2 + 5*o**2 - 87. What is b(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3565 = -933. Suppose 17*d - g = 321. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -37 (c) 1 (d) 6 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.395 and 4.\nAnswer: 5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - -73?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 44 = 18*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246 = 32*q + 26*a + 1058, -q = a - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phtyyytyptyhh. What is prob of picking 1 y, 1 h, and 1 p?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 43. Let y be c(6). Suppose 4*u - y*u = -1, 0 = 2*v - u - 61. Suppose -8*m + 9 + v = 0. Solve d = -d + 4*a - 10, 4*a - 13 = m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*p - 38 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 0, 4*x = -0*x - 3*a - 55. Let f be 24\/x*2\/(-6)*0. What is the hundreds digit of (f - 1)\/(13\/(-13)) + 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 0.686, -4, -3, 0.02 in decreasing order.\nAnswer: 0.686, 0.02, -0.9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*n = -4306, 4*h - 6019 - 2591 = -5*n. Solve -1073 + h - 4*y**2 - 2*y - 1082 = 0 for y.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iggsiigiggv. What is prob of sequence vii?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - -2. Let h = -10 - -12. Suppose -t = -3*c + 2*j, -h*j - 48 = -3*c + j. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44104 divided by -7.\nAnswer: 44104\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2206510, -2206512, -2206514, -2206516, -2206518, -2206520?\nAnswer: -2206522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Let k be (-5)\/(1*1\/q). Suppose 32 + 3 = k*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 - c**2 - 7*c**2 - 69*c**2 + 95*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**3 + 19 - 9*g**3 - 19.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -236186 divided by -90\nAnswer: 118093\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.3482295 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 16598144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1089)\/88 + 12 + (-44)\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497 (base 14) to base 3.\nAnswer: 1020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12248\/16*-2*(-2)\/4. Let l = n - 764. Which is the closest to 0.1? (a) -2\/9 (b) l (c) 18\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 10, m: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-90) + (-6)\/4 + 2. Let o = -12.7018 + -0.2982. Which is the second smallest value? (a) -1\/8 (b) o (c) -4\/5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 201200?\nAnswer: 201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from xexeeexe?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a**3 + 9*a**2 - 3*a - 18. Let z(x) = x**3 + x**2 - x - 2. Determine l(s) - 9*z(s).\nAnswer: 6*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 - 2*c + 66. Let p be 8\/(24\/6) + 5. Suppose 4*j = p*j. What are the prime factors of i(j)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 21. Let p be c(-7). Suppose -11 = j - p. Sort -0.2, -10, j.\nAnswer: -10, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001534858 to 6 dps.\nAnswer: -0.001535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 21*x**2 - 30*x**2 + 62*x**2 + (0*x + 2*x - 4*x)*(-62 + 62 + 11*x) - x**2 + x**2 - x**2.\nAnswer: -12*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1036?\nAnswer: 3\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -147.\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 895232.9mg in tonnes?\nAnswer: 0.0008952329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 141405007, 565620020, 1272645041, 2262480070?\n\"Answer: 141405004*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {h: 2, a: 3, u: 3, q: 7, c: 1, s: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 319109330*i - 345299097?\nAnswer: 319109330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10760?\nAnswer: 10760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53195?\nAnswer: 5, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 521461367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n - 45. Let z be o(-4). Let p = -5 + 8. Let m = p - 3. Sort z, m, -4 in increasing order.\nAnswer: z, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -167*l + 256. What is w(5)?\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 + -42. Let m = -42.9999971 + z. What is m rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 726 - -7774. Round h to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((-19)\/(-8) - 2). Let u = -9 - c. Suppose -2*l - 3 - u = 0. Put -1, 4, l in ascending order.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + (2 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -73. Suppose -4484550 = 3*d + 4*j + 8715470, 3*d + 2*j + 13200010 = a. What is d rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 6037667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450*f + 418*f = -64. Solve 2*n - f - 8 = -2*u, -n = -5*u + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49231649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*6\/(-9)*-4. Suppose -5*v = 4*f - 197, -5*v - 16 - 27 = -f. Calculate the highest common factor of f and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -5, 4, 5, 0 in increasing order.\nAnswer: -5, 0, 3, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j*j)**2*j**7\/j**2)**(-1\/39) assuming j is positive.\nAnswer: j**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 - n**3\/6 - 3*n**2. What is the first derivative of a(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l**3 - 118*l**2 + 254*l - 1491. What is h(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7864*n + 7791*n + 1314 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4528)\/129048 - 2\/(798\/43).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 16*w + 10. Let p(v) = -v**2 - 14*v + 9. What is 6*a(b) - 7*p(b)?\nAnswer: b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*j + 4. Suppose -3*c - 3 = -0*c. Let u be (-6 - c)\/10*18. Is u <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -140240 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 562*v**2 + 101 - 58 + 150*v**2 to the form o*v + d*v**2 + t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -2 (c) 19\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409901647 to the nearest integer?\nAnswer: 20246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -v, -4*v + 17 = p. Let n be 1 - ((-6)\/p - -2). Find the common denominator of 0 - n\/24*-97 and 81\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1098*264\/44?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 51 - 30. Let y = m + 25\/4. Let g = 86.1 + -86. Which is the second smallest value? (a) 0.6 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7607 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -199. Suppose 0*z - 18*z = -h. Solve -z = -b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (4 + -6 + -2). Suppose -4 = 4*q - 4*v + w*v, -3*v - 3 = 5*q. Solve q*x - 6 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5401 and -0.2.\nAnswer: 0.3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33.86294l?\nAnswer: 33862.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(6\/7)\/w**(8\/7) assuming w is positive.\nAnswer: w**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h**2 - 52*h + 188. Let y be m(4). Calculate the highest common divisor of y and 2068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5739648 and 316158944.\nAnswer: 3793907328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27685 + 2214849\/80. What is the common denominator of b and -31\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1562 and 9?\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 31 = u + 4*u, 46 = 5*u + 2*v. Let y be (3 + (-2044)\/u)*-400. What is y rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilometer in meters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 1 - (-82 - (-188 + 87))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1475 + 0.3\nAnswer: 1475.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*h + h. Calculate the least common multiple of h and (-8)\/((-3)\/3) - 1*3.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546181 or 0.1?\nAnswer: -546181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 y, and 1 k when four letters picked without replacement from {y: 1, d: 4, o: 4, k: 6}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**2. Let m(n) = 48*n**2. What is m(d(p))?\nAnswer: 10800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:00 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -66170 less than -66169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 25\/310907 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 3. Let w be z(3). Let c be (-1 - 5)*(322\/69 + -5). Let h(v) = -v**3 + 6*v**2 - v + 8. Let d be h(6). Solve -c = -w*f - d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018 = -250*n - 482 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 1\/4*f**4 + 3*f + 7\/3*f**3 + 1 + f**2. Is 8 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6198 - -6393. Solve 170*a = n*a - 175 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 361, 815, 1451, 2269, 3269?\nAnswer: 4451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1201, 0.4, -4, 0.2, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 25. Determine u(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2370\/40 + 6\/8. Suppose 0 = 15*t - 9*t - s. Solve -5*g + 4*l = t, -g = g - l + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 614, 910, 1206?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2652, -2723, -2842, -3009?\n\"Answer: -24*u**2 + u - 2629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2 + -96ac?\nAnswer: -9791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -11. Let m be k\/4*4\/1. Let p be (-6 + m)*(-6)\/(-9). Solve p*z - 3*z + 2*b = -2, -2*b - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/4 - 3*w**3\/2 + 3*w**2. What is the first derivative of k(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 38 = -2*m, -2*m + 4229*y - 4227*y = -46. Solve 27*o + m = 32*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 75495, 151009, 226573, 302187, 377851, 453565, 529329?\n\"Answer: 25*x**2 + 75439*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/19541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 12*g + 38. Let b be u(-7). Suppose -b*y = -343 - 1142. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20011, -20012, -20013, -20014, -20015?\n\"Answer: -k - 20010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493*t**2 + 4670*t - 1494*t**2 - 4670*t + 383.\nAnswer: -t**2 + 383","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0795 (b) 0.04 (c) 3\/2 (d) -29 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181059454.\nAnswer: 2, 139, 651293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 7*k - 7. Determine z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253141.\nAnswer: 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35885234 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2)\/((-3)\/(-3)). Solve f = -2*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-575)\/(-460))\/(25\/6).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*z + 4, 3*z = 4*d - 0*z + 29. Let i be (-10)\/d*-6*8\/(-12). Sort i, -2, 2, -32.\nAnswer: -32, -2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 730871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 18*l - 66 - 28*l + l**2.\nAnswer: l**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a4437 (base 12) to base 10.\nAnswer: 7182187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 9:47 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0 + (-3 - 3 + 4)*(0 + 1 - 3) - 2 - 2 + 7)*(3 - 6 + 4)*(3*u - 3*u + 3*u)*(0 + 0 - 2*u**3) to a*u**4 + l*u + t*u**3 + x + i*u**2 and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -14*v - 5. Let p be w(2). Let s = p + 47. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1692 and 1410?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 1761, 4135, 7491, 11847, 17221, 23631, 31095?\nAnswer: 39631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 - -64?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((27\/12)\/((-14)\/(-28)))\/((-276)\/32). Is -2 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1940\/3 - 637. Calculate the common denominator of (-27)\/9 - (-52)\/(-10) and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -28. Let t(p) = 4*p**3 + 10*p**2 + 18*p + 22. Let m(b) = -b**3 - 3*b**2 - 6*b - 7. Let s(u) = k*t(u) + 20*m(u). Factor s(j).\nAnswer: 4*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 9. Let h be (-10)\/20 + (-3)\/(-2). Sort 0.3, h, r in descending order.\nAnswer: h, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = -2092. Let f be g\/10 - 12\/(-30). Round f to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**2 - 7*j + 8. Let v(w) = 2*w**2 - 18*w - 1. Let t be v(9). Let r(f) = f**2 + f - 1. Give t*p(g) - 6*r(g).\nAnswer: 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/36 - 637\/(-9). Let d = 129 - l. Let q = d - 21. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(156)*-2 + sqrt(156)*-2*-5)*-4)\/((sqrt(84)*-1*2)\/((sqrt(14)\/sqrt(2) + sqrt(7))*-2 + sqrt(7))).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -g - 6*x, -70 = -2*g - x - 88 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144.5 - -145. Sort 0, 2\/5, b in increasing order.\nAnswer: 0, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10352779 is divided by 3450862?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185, -376, -579, -800, -1045, -1320?\n\"Answer: -l**3 - 184*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8756359.123 to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g + 2. Let t be v(0). What is the tens digit of (t\/3)\/((-4)\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50452974 and 196911?\nAnswer: 454076766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 10*q**2 + 4*q - 15. Let z be b(10). Find the first derivative of -z*a**3 + 2*a**3 - 4*a**3 + 11 wrt a.\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 - (-31 + -34 + 95)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001257 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -18. Calculate the lowest common multiple of ((-16)\/(-12))\/((-8)\/v) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n + 46. Suppose -72 = -3*f + 3*g, g - 6*g = -2*f + 60. What is the tens digit of x(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 15680*q**2 - 184412479*q + 1106286722\/3.\nAnswer: -(q - 23519)**2*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 862453*x + 12936820\/3.\nAnswer: -(x - 5)*(x + 2587364)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2200909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 64 = 60. Suppose 0 = 2*m + 7 - 17. Sort w, m, -7.\nAnswer: -7, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -206*r - 38. Calculate j(-2).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 2\/3, -20 in descending order.\nAnswer: 105, 2\/3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -32*k**2 - 36 + 56*k**4 - 52*k**4 - 8*k**3 + 41*k + 31*k = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**4*n*n*n*n)\/n*n*(n*n**(-1\/4))\/n*n*n\/(n\/(n\/(n**(2\/17)\/n)*n*n))*n**(1\/4)*n*n*n*n assuming n is positive.\nAnswer: n**(321\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414289927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times -59895?\nAnswer: -7786.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 11*c - 8*c - 41, -9*g - 7601 = -4*g - 1083*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2797 + -2795. Factor -2\/7*m - 4\/7*m**d + 2\/7*m**3 + 4\/7.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916761 is divided by 250.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2223 = 48*w + 27*w - 198 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + 5 + (-1*sqrt(2736) + sqrt(2736))*-4 - (3 + (0 + sqrt(2736))*6 + (-6*sqrt(2736)*1 + sqrt(2736) - sqrt(2736)))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -534, -787, -1040, -1293?\nAnswer: -1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -9.6. Put 3\/7, f, 3\/5 in descending order.\nAnswer: 3\/5, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4 - 11. Suppose -3*i + 5*g = 35 - 10, i - 25 = -j*g. Factor i + 2\/5*c**2 + 2\/5*c.\nAnswer: 2*c*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 0*p**4 - p**4 + (5*p**3 + 2*p - 2*p**3 - 3*p)*(-9 - 7*p + 9).\nAnswer: -23*p**4 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1092 divide 644279421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + x**2 - 2*x. Let t be w(-2). Suppose -4*z - 2 = -5*z. Let u be (-3)\/z + (-2)\/(-4). Is u less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1036*a - 5178. Let w be h(5). Solve 2*o - 4 = -4*m, -4*m + 9 + 3 = -w*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 + 1068*x**2 + 159*x - 42457. Give f(267).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -359*x**4\/2 + 384*x**2 - 73. Find the second derivative of j(h) wrt h.\nAnswer: -4308*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(19))*6 + sqrt(2299) + sqrt(2299)*-1 + (sqrt(304) + 1)**2 + 5 + sqrt(19) + (sqrt(171)\/sqrt(9) - sqrt(19)).\nAnswer: 15*sqrt(19) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 554334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 1942, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v + 3*v - 3*b, 3*b = -4*v + 46. Calculate the lowest common multiple of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 3, c: 3, o: 1}. Give prob of sequence ccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*p**5 - 63*p**5 + 30*p**5 + (6*p - 3*p - p)*(-2*p**4 + 3*p**4 - 4*p**4).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 4. Let l be f(-3). Let d be l\/(-4) - 935\/(-44). Let b = d - 15. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.51 + -0.49. What is the closest to j in 0.3, -2\/9, 5\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373*q**2 + 33 - 33 - 3635*q**2 + 1375*q**2 + q**3 + 887*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -58*w - 519. Let p be u(-9). What is the third smallest value in p, -1596, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 35 = -5*x, x + 5*w - w = 17. Suppose -j + 10 = -2*j. Let z be x\/15*j\/(-16). Which is the third smallest value? (a) 0.1 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 = -9. Let a be (p*4)\/(3 - 335\/115). Suppose a - 38 = i. What is the highest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*-3*3\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43 + 139 + 122*d - 52*d - 67*d - 6532*d**2 + 147 wrt d?\nAnswer: -13064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -16*m + 21*m - 9*m - 3*u + 3, -131 = 53*m - 5*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/(-240)*11\/((-1155)\/50)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7355\/114 - 58\/57. Let d = -54 + l. Which is bigger: d or 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 - 3*o - 12. Give w(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/20*(-2)\/(-3). Let r = 0.32 - -3.68. Let u = -6 - -28\/5. Sort r, n, u in decreasing order.\nAnswer: r, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31112, 61761, 92392, 123005, 153600, 184177, 214736?\nAnswer: 245277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -59. What is the remainder when x is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - -0.07. Let o = b - -0.05. Let h = 6 + -6.1. Is h smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44645417113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 892*a*h**2 - 2*a + 13040*h**2 wrt a.\nAnswer: 892*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r + 4*r**5 - 38 + 38 wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(-4\/17)*y)*y)**(2\/53)\/(y**(10\/7)\/((((y*y**3)\/y)\/y*y*y)\/y)))**36 assuming y is positive.\nAnswer: y**(375948\/6307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 74. Let d(k) = -k**2 + k - 2. Let u be d(0). What is the units digit of n\/(-12)*(-3)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2903, 2905, 2907, 2909?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 30*m + 127188 = 21*m. Is m at least 7066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5232 + -5230. Let q(h) be the third derivative of 0*h + 1\/120*h**5 - 1\/12*h**3 - 10*h**a + 1\/240*h**6 + 0 - 1\/48*h**4. Solve q(y) = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1148 = -m. Let q(g) = -6*g**2 - 2*g - 1. Let j be q(-1). Let b be m\/(-2) + j\/(-10). Round b to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 9. Let q = f + 4.9. Let u be (-16)\/(-6)*(-9)\/(-28). What is the biggest value in 0, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from vhvvvvvnv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*b + q + 96, -b - q - 21 = 0. What is the units digit of 9\/(-1 - b\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (12 - 28) - 17?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 4*b**2 - 3*b - 1. Let k be i(5). Suppose -16 = -5*g + k. Suppose g*q = q + 20. Solve -q*a + a = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 32*k**2 + 59*k**2 - 27*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(15\/5*6\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 95. Let r be 2\/(-8) - 11\/(-44). Suppose c = j - r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481473.\nAnswer: 7, 211639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2030102500554 - 3?\nAnswer: 2030102500551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 405 - -2072. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213513 by -1561.\nAnswer: -213513\/1561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:51 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.9. Let m = 0.3 - u. Let z be ((-9)\/6)\/1 + 1. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 3 (c) 0 (d) 0.2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 712*g\/3 + 480.\nAnswer: -4*(g - 180)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 905, -109, -1771, -4081, -7039?\n\"Answer: -324*o**2 - 42*o + 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129709108 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*a + 91, -37 = -3*m + 3*a - a. Let p(i) = 9*i - 4. Let x(b) = 36*b - 15. Suppose 1092*c = 1075*c - 68. What is c*x(l) + m*p(l)?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 295\/11 + (-6)\/(-33). Let k = s - 24. Suppose 3*z + z = -5*c - 62, 46 = -4*z + k*c. Is -13 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104352241 (base 6) to base 2.\nAnswer: 111001111000010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f + 73 + f**2 - 2*f + f**3 + 0*f**2 - 5*f. Let b be k(0). Suppose 4 = -a, -b = -5*t + 5*a + 262. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 505\/4 or 127?\nAnswer: 505\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {w: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27639, 27741, 27869, 28023, 28203, 28409, 28641?\n\"Answer: 13*k**2 + 63*k + 27563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59688 by 24.\nAnswer: 2487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y. Let u be 3 + -5 - (53999 + -1). Let j be y*(-2)\/(-6) - u. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g + 2*g - 21*g - 10*g to the form q + m*g and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*5\/10*(-10)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-8 - (8 + -10 - -1)) + -36\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 4. Let m be u(-6). Let -17*s + 19 + m*s - 14*s**3 - 7*s**3 - 16 + 27*s**2 + 6*s**4 = 0. Calculate s.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21924003 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(25 + -6) - 168\/(-126)*(36 + 0)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 92*m + 100. Let g(k) = k + 17. Let i(c) = 6*g(c) - l(c). Let n(r) = -9*r**2. Give n(i(o)).\nAnswer: -66564*o**2 + 3096*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*v + 376 = -180*v. Solve -8*a - v = -15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -720, -1617, -2872, -4485, -6456?\nAnswer: -8785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssszeeeseesesee. What is prob of sequence sze?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-1\/2)\/k))*k*k**(3\/7))\/((k*k\/(((k**(-4\/3)*k)\/k)\/k)*k)\/k**(-6)) assuming k is positive.\nAnswer: k**(-479\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**3 - 5987880*h**2 + 17963679*h + 23951556 = 0.\nAnswer: -1995963, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 56 = -5*s, 2*z + 55 = -4*s + 9. Let m = s + 20. Suppose 3*g - 5 = -p, 2*p - m = -2*g - 3*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 5 (c) 4\/3 (d) -2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2290218 by 5277.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109291882 + 125855919. Let j = y + -235147676.000001. Let k = j + -125. What is k rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*i + 170*i = 5*k - 15, -7*k + 3*i = -22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.7 + 17. What is the nearest to -2 in -0.5, o, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 723 divided by 1.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(126\/3)\/(-1)*95\/(285\/2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - 1)\/2)\/(3 + -2). Solve 10 = -v*w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x + 1067 - 5759. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -301 - 2*v**2 + 32*v**3 + 605 - 304 in the form q*v**3 + m + d*v**2 + c*v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 0.1, -0.2, -0.028 in descending order.\nAnswer: 0.1, -0.028, -0.1, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from {r: 5, t: 4, m: 5, v: 3, f: 2}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906242 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 14, -1, -1.3659, -4, 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - (-12)\/(-8))\/((-55705)\/(-5570) + -10) is divided by 122?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 13. Let m be 4908\/27 + w\/9. Suppose 2*z + z = -j + m, -4*z = 5*j - 239. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61\/4 - 1\/4 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 247\/102 + 4\/51. Let r(z) be the first derivative of 5 - 9*z - q*z**2. Differentiate r(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/16147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20736, -41478, -62208, -82920, -103608, -124266, -144888, -165468?\nAnswer: -186000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848.705588 rounded to the nearest 10?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 640171 + -447210. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 4*m**2 - 79*m + 369. Determine y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*138.9496.\nAnswer: 1.389496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**8\/23520 + q**6\/840 - q**5\/210 + q**4\/12 - 3*q. Let p(v) be the third derivative of y(v). Factor p(o).\nAnswer: -2*(o - 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-158*n - 152*n + 387*n)*(-1 + 1 + 1)*(-2 + 2 + 2) in the form d + f*n and give f.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 97. What are the prime factors of (o - -143)\/(-2 - -3)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 + 98*d + 6. Let x(f) = -4*f**2 + 102*f + 7. What is 7*n(b) - 6*x(b)?\nAnswer: -4*b**2 + 74*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*x + 1255 + 1200, 0 = 2*f + 5*x - 4865. Let s = -742 + f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (-24 - -19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 2*j - j + 6*j - 5*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 4*p - p + 1. Let r be w(4). Suppose -r*f - 12 = -12*f. Calculate the greatest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 - 2*r**2 + 3*r + 2. Let z be j(4). Suppose 3*m - 36 = -z. Calculate the highest common factor of m and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34084611 and 726?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*g + 9. Solve -5 + 0*j + 3 + 2*j**g + 5*j + j - 6*j**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2356126 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 25*j. Let a be f(6). Suppose -7*w + a = -2*w. Calculate the remainder when w is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 4033?\nAnswer: -402a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 3527876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 19*i - 798. What is the highest common divisor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 + 2*w**2 - w. Let c(z) = 31*z - 1. Let u(h) = h**2 + 30*h - 3. Let a(n) = 3*c(n) - 4*u(n). Let s be a(-7). Calculate m(s).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -76*k + 35. Let q(o) = 84*o - 33. What is 2*h(x) + 3*q(x)?\nAnswer: 100*x - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-7)\/2 + 2). Let o(k) be the second derivative of k**4\/6 + 2*k**2 + 9*k. Let g(y) = -3*y**2 - 5. Determine x*g(d) - 4*o(d).\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04214 take away 0.3?\nAnswer: -0.25786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p**2 + 2*p - 1. Let c(b) = 79*b**2 + 9*b - 3. Give -2*c(i) + 9*t(i).\nAnswer: 13*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o - 4. Let g(i) = 100*i + 904. Let p be g(-9). What is q(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 39*u**2 + 404*u + 37. Determine c(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1001 - -624.5. Let y = z + 377. Which is the smallest value? (a) 4 (b) -2 (c) y (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-1944)\/(-16)))\/(2\/(-6))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**3*x**2 - 2*s**3 - 8*s**2*x**3 + 6 wrt x?\nAnswer: -4*s**3*x - 24*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k**3 - 5*k**2 + 9*k + 5. Let w(j) = 10*j**3 - 3*j**2 + 5*j + 3. Let r(x) = 6*s(x) - 11*w(x). Let t(d) = d**3 + d**2 - 1. What is r(z) - 3*t(z)?\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -810 (base 12) to base 13.\nAnswer: -6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7774032064.\nAnswer: 2, 257, 472643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*i*x**5 - 19*i*x**2 - 2*x**2 wrt x.\nAnswer: -9540*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 711, 1097, 1513, 1959, 2435, 2941?\nAnswer: 3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 3*o**2 - 4*o + 5. Let g be j(-4). Solve -3*f + 0*f - 12 = -m, g*f + 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, -8, -10, -1\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 + z - 1. Let y(u) = 11*u**2 - 4*u + 4. Let w(v) = 8*j(v) + 3*y(v). Let x be (11 - 9) + (1 - 0). Determine w(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 10*o**2 - 2*o + 7. Let v be n(-5). Let z = v - 19. List the prime factors of (-151)\/z - (-3)\/(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131.4629744 + -137.46298. Let l = -0.13 + -5.87. Let f = t - l. Round f to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -i. Let 2*h - i*h**3 - h**5 + h**5 - 2*h**5 + 4*h**5 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968167.7 grams to tonnes.\nAnswer: 0.9681677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o + 48*o - 92*o - 4*c + 94 = 0, 0 = -5*o - 4*c + 74 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32860 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 572*f**2 + 1 - 571*f**2 - 6*f**3 - 14*f**3 in the form r*f + v*f**2 + q + b*f**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11412 - -0.2849571125?\nAnswer: -11411.7150428875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3800) - sqrt(3800))\/(sqrt(8) + (sqrt(8) - sqrt(72))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1547, -3094, -4641, -6188?\n\"Answer: -1547*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/70 - 3\/15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 4) + 39 - 0. Let s = -35 + b. Solve 4*h = -0*h - s*d - 6, 3*h = -d - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3024395 = -5*n + 5*f, 0 = 3*n - 12*f + 16*f - 1814679. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278820 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(175) + -2).\nAnswer: -8 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 8*n**2 + 11*n - 9. Let b be g(9). Which is smaller: b or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**47\/m**(-10) assuming m is positive.\nAnswer: m**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37985\/27 + 1407. Let s(r) be the first derivative of x*r**3 - 2\/9*r - 1\/9*r**2 + 1\/9*r**4 + 5 - 1\/27*r**6 - 2\/45*r**5. Solve s(v) = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a47 (base 11) to base 16.\nAnswer: 4ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270277.\nAnswer: 7, 38611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181*h**6 + 27*h**4*n + 11361*h**3*n + h**2*n - h**2 + 5*h*n + 131*h + 72*n - 16 wrt h.\nAnswer: 21720*h**3 + 648*h*n + 68166*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.04 + 0.04. Let r = -7.7 - q. Let p be (-704)\/264*(-1)\/(-4). Which is the second biggest value? (a) r (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + (8 - (12 - 0)) - -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 6*c + 6. Let u be b(-6). Suppose 0*v + v + x - 1 = 0, -3*x = 5*v - 15. Suppose 0 = -4*d + u + v. Solve 4 = -m - d*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2556 = w - 6*k, 6*k = -2*w + 9*k + 5058. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-14) - 6\/(-21). Let w = -399186 + 399183. Sort -2\/3, -62, c, w in decreasing order.\nAnswer: c, -2\/3, w, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05425 times 6\nAnswer: -0.3255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 25*x + 4. Give h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97 - -10?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*f*h**3*z**2 + 81*a**2*f*h**2 - 10827702*a**2*f*z**3 + 258*a**2*h**2*z**2 + 4*a**2*h*z + a*f*h**3*z**3 + 3*h wrt z.\nAnswer: -64966212*a**2*f + 6*a*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 26544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*x + 40, 6*j - 3*x = j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16268*m**2 + 10*m - 12*m + 9*m - 7*m)*(m + 1 - 1).\nAnswer: -16268*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-7 - 13)) + (1 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:14 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.7 (c) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4736 or -4737?\nAnswer: -4737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 12*i + 3. Let s(g) = 4*g**2 + 12*g + 3. Let o(j) = 4*s(j) - 3*v(j). Calculate o(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 36\/431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2. Let v(s) = s + 22 + 30 + 26 - 75. Calculate v(l(o)).\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -41, -60, -77, -86, -81, -56, -5?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -77. Suppose -3*v = -5*v + o. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -5, 13981, 2.\nAnswer: -5, 2, 5, 10, 13981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = -5*g, 5*m - 4 = -4*g + 7. Differentiate 2 + 2*d - 4*d - m*d wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.07 - -0.07. Let t = 17 + y. Let u = -0.2 - 0.3. Which is the smallest value? (a) u (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/r*r*((r\/(r*r*r**(-5)*r*r))\/r*r)\/r)\/(r**(-1))**(3\/26) assuming r is positive.\nAnswer: r**(107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -205323.6 + -223981809?\nAnswer: -224187132.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.53945.\nAnswer: -0.269725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 275 = 5*h - 3*k, -k + 5 = 0. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 783.9 and 0.4.\nAnswer: 313.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5081152*w + 5329316 wrt w.\nAnswer: -5081152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 747*g**3 - 5*g**2 - 4. Let a(m) = -3741*m**3 + 26*m**2 + 22. Calculate -2*a(l) - 11*b(l).\nAnswer: -735*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19824 - -20062.1. Round n to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 times -81776?\nAnswer: -400702.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 642\/5 + -128. Let o(n) be the first derivative of 7\/2*n**2 + v*n**5 - 2*n - 1\/6*n**6 - 1 + 1\/2*n**4 - 8\/3*n**3. Solve o(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**29)\/s)**20 assuming s is positive.\nAnswer: s**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 10*m**2 - 9*m - 3. Let v(u) = 4*u - 1. Let z be v(-2). Let l be j(z). Is 11 a factor of (-73 + 7)*1\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 1\/344, -20, 1\/5, -1\/5?\nAnswer: 1\/344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*s - 2 = 411*s. Suppose 3*c = s*n + 91 + 181, 0 = -4*c + 4*n + 360. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 15*r**2 - 8*r - 6. Suppose 9*a - 94 = 32. Let g be k(a). Is 16 a factor of 2508\/g - 6\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/60 - k**5\/120 - 5*k**2\/2 - 12*k. Let i(h) be the first derivative of u(h). Find c, given that i(c) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1449.1 to the nearest ten.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5891*c + 27450*c - 166837*c + 31868*c - 121030*c.\nAnswer: -222658*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 1111080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-8)*(-6)\/14)\/(-4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+1.6421630641\nAnswer: 2.0421630641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 + 285*g**3 + 5 - 283*g**3 + 7*g - 2*g. Let t(z) = 21*z**3 - 49*z**2 + 49*z + 49. Give 5*t(a) - 49*w(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 9*c**2 + 28*c - 4. Let g be w(-12). Suppose -6*b = 62 - g. What is the smallest value in 3, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7775 + -46500584005?\nAnswer: -46500576230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u - 2. Let h(g) = -11*g - 3. Suppose -w = -3*t + 26 + 1, -5*t + w + 45 = 0. Give t*s(j) - 4*h(j).\nAnswer: -j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -88507150?\nAnswer: 1\/88507150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c - c**3 - 1 - 9*c**2 - 12*c + 13*c. Let r be l(-8). Suppose u - 3 = -3*m, -5*m - 3 = r. Calculate the remainder when u is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355741865 to the power of 1\/2, to the nearest integer?\nAnswer: 18861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 3)\/(4\/2). Which is the second smallest value? (a) 4 (b) l (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111221777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 993 + -4?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-135)\/7 - (-2)\/7. Let g = y + 31. What is the remainder when g is divided by 6 + (2 - (2 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 63198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/100*(6 + -1). What is the remainder when 4\/(x + (-39)\/20) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d - r + 44, -4*r - 8 = -3*d. Solve 0 = b - 5*t + 1 - d, b + 4*t + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x + 5. Let k(g) be the third derivative of -g**4\/6 - g**3\/6 + 2*g**2 - 21. What is 2*f(l) + 9*k(l)?\nAnswer: -6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -14. Let y be 14*((-81)\/(-21) + q). Suppose 8*p = 4*p + y. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millennium in decades?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*6)\/(sqrt(10)\/(2*sqrt(2)))*4)**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1, y: 1, q: 1, f: 2}. Give prob of sequence qn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 27*m + 105. Suppose -48*j + 262800 = u - 44*j, -m*u + 3*j + 1314000 = 0. What is u rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 100*f + 10. Let p be d(-6). What is p rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7837 is divided by 1563.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14741347 + -5?\nAnswer: 14741342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose j*z = -z + 9. Let u be ((-4)\/(-6))\/((-4)\/z). Is u smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 8*s**2 + s**3 + 18 + 5*s**4 + s to the form g*s + u*s**2 + n + b*s**3 + q*s**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - -165. Let v be (-11)\/33 - p\/33. Is v less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-255 + 104 - 52)*(-3*p + 5*p - 4*p)*(-3 + 0 + 4) to v*p + c and give v.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 4*n**2 + n + 4. Let b be w(-4). Suppose b*c - 4316022 = -c. Suppose 8183978 = 5*a - c. What is a rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913989626 to the power of 1\/4, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30748 is divided by 5119.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 274714.\nAnswer: -2\/137357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 206066.7 hours?\nAnswer: 8586.1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491194300 rounded to the nearest one hundred thousand?\nAnswer: 491200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 17728.448 to the nearest ten.\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x + 8. Let l = x + -1. Calculate the remainder when (1\/2)\/(l\/(-120)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 9. Let u be k(6). Let h(p) = -p**3 + 4*p**2 - 3*p + 4. Let y be h(u). What is the third derivative of 0*l**4 + 2*l**2 + 4*l**4 - 2*l**y wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.02646 + -8.02. Round v to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126*r*s**3 + 2*r*s - 3*r - 343*s**3 - s**2 - 27*s - 2197 wrt s.\nAnswer: -756*r*s - 2058*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from leele?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16504 and 320487236?\nAnswer: 320503740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 338 and 2.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*z**2 - 62*z**4 + 77*z**2 + (-2 + 2 + 2*z)*(4*z**3 - z**3 - 4*z**3) - z**4 + 3*z**4 - 3*z**4 + z**4 - 4*z**3 + 4*z**3.\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.71 + 2.31. Let m = j - -16.3999122. What is m rounded to 6 decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9 = 2*l - 9, 4*h + 41 = 5*l. Let f(s) = -s**3 + 4*s - 1. Let o be f(h). Suppose 128 = 5*z - o. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 5*u**2\/2 - 15*u + 2. Suppose -3*r + 372 = 9*r. Calculate the remainder when a(15) is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12290 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31249.82781 and 0.0409.\nAnswer: -31249.78691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/568 and 5\/142?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.8154 + -0.8154. Put 3, 15\/7, p, -1 in increasing order.\nAnswer: -1, 15\/7, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847201379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x**3 + 222*x**3 - 70*x**3 + 104*x**3.\nAnswer: 295*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*q + 24*q + 23*q)*(0 + 0 + 2*q**3) as u*q**2 + s*q**4 + h + l*q + b*q**3 and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2960774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.103 - -5460865216.\nAnswer: 5460865216.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 8*k**2 + 8*k - 7. Let d be q(7). Find the third derivative of d*z**5 + z**5 + z**2 + 0*z**5 + z**2 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*c - 187 = 2*b, 2*c = -2*b + 130. Suppose -3*d + 189 - b = -5*n, 41 = d - n. Let f = d - 27. Calculate the remainder when 37 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 398, 610, 962, 1454, 2086, 2858?\n\"Answer: 70*x**2 + 2*x + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 62 - 78 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 - -3) + 1 - (70 + -55).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 times 275?\nAnswer: -45650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - 87. What is the least common multiple of d and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14739160171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:46 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veen when four letters picked without replacement from eeveeneenevennvevev.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19219, 19179, 19139, 19099, 19059?\n\"Answer: -40*v + 19259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/(z*z**0))\/z)\/z**(2\/7))\/(z**(1\/8)*z**(-3\/11)\/z) assuming z is positive.\nAnswer: z**(1147\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-3) + (-1536)\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 216*a**2 + 4*a - 4. What are the prime factors of i(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.05354\nAnswer: -0.005354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5702289*k + 2*k**2 - 5702289*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7609, -31034, -70277, -125338, -196217, -282914?\n\"Answer: -7909*j**2 + 302*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.11 - -0.11. Let n = 7.8 + u. Let l(a) = a - 15. Let b be l(11). What is the nearest to n in -1, -5\/6, b?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = 7*j. Let u = 224.99 - 226. Let w = 0.01 + u. Which is the closest to j? (a) 0.1 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26055, 26058, 26061, 26064?\nAnswer: 26067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199679767*b**4 - 2*b**2 + 56582*b - 477 wrt b?\nAnswer: -4792314408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 7. Let s be h(-9). Suppose -5*g = -2*g - 2*k - 22, 0 = g - s*k - 10. What is the lowest common multiple of 42 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.252416 (b) -8 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 + -221. Which is the smallest value? (a) 4\/11 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose -6*l + 4*l + 2*r = -4, 4*l - g*r = 11. Solve l*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 5*b**2 + 80*b - 40. What is the thousands digit of v(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/6 + 2*t**3\/3 - 15*t**2\/2 = 0.\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19739\/32 + -617. Let v = w - -79\/96. Let h = -4.0085 + 0.0085. Are h and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-4)\/(-12) + (11 - -9). Let b = t - -312. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(7\/(-2) - -3). Suppose 0 = -n - 5*c - 3 - 3, 16 = 2*n - p*c. Suppose i - n*i + 6 = 0. Solve i + 0 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 - 4*x + 11. Let n(p) = 7*p**2 - 5*p + 11. Let j(k) = 6*b(k) - 7*n(k). Let w be j(7). What is the highest common factor of w and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3731*h + 108*h + 1734*h + 227350 = 2658*h for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -583531 (base 9) to base 3\nAnswer: -122210121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3201*u - 19*u**4 + 3197*u - 2*u**4 wrt u.\nAnswer: -252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187145249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:02 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q**4 - 536*q**3 - 1344*q**2 - 1256*q - 404 = 0 for q.\nAnswer: -101\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 22668302 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/4*(3 + 17). Let x(l) = -l**3 - 15*l**2 + 2. Let j be x(u). Suppose -6*c = -j*c + b - 2398, 4*c - 5*b = 2410. Round c to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 times 0.07?\nAnswer: 14.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose -3*y + h*c + 50 = 0, y + 6*c - 5*c = 19. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 - -2)\/3*(-3 + -8). Suppose 21 = -3*p + o. Solve -13 = 4*h - a, 0 = 2*h + 4*a + 24 - p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 865060 and 28?\nAnswer: 865060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f**5 + 0*f**2 + 3 + 2*f**2 - f**5 + f wrt f.\nAnswer: -240*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4446759, 4446746, 4446723, 4446684, 4446623, 4446534?\nAnswer: 4446411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*4\/(-6). Let d be 371*((-1)\/x + 0). Suppose 0 = -3*f + d - 134. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k - 13. Calculate o(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49181457 a multiple of 2587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100 - 92) + 1 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 125, 124, 123, 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 12:39 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/15)*i**(-5))\/(i**(-2)\/i)**(3\/11) assuming i is positive.\nAnswer: i**(-547\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from hwyqp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -212731, -212965, -213199?\n\"Answer: -234*g - 212497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 7. Suppose 0 = -i + 4*l, 2*i + l - 11 = -2. Let f be n(i). Round f to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 5*j. Let o be f(-3). Suppose -b = -o*b, 4*x = b + 12. Suppose v = 4*v - x, v = y - 9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 11*u**3\/3 + 23*u**2\/2 - 7*u - 4. Differentiate d(y) wrt y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27, 2\/15, 16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3\/1133, -0.2, -1, 3?\nAnswer: -3\/1133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 8250?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1323830, -5295300, -11914418, -21181184, -33095598?\n\"Answer: -1323824*l**2 + 2*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/19360 and -49\/6109290?\nAnswer: 97748640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**22*p*p*p\/((p**(1\/21)\/p)\/p)*(p\/(p**13\/p))\/p**(-4\/5) assuming p is positive.\nAnswer: p**(-2651\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0461, 0.1, 0, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -9*r**5\/10 + 14*r**3\/3 - 62*r + 71. Let t(q) be the first derivative of i(q). What is the second derivative of t(l) wrt l?\nAnswer: -108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11025 by -315.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m = -40*m + 3240. Let b = m + 391. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2916656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*h + 494*h - 883*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 284703296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6) + (-4364)\/(-8904). Let y = -2\/53 + u. Sort y, 4, -2\/9.\nAnswer: -2\/9, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 2*o**2 - 62*o - 5. Let r be a(7). Let k(d) be the third derivative of -d**5\/60 - d**3\/6 + d**2. Give k(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 9*z - 18 - 5*z + 0*z - 6.\nAnswer: 4*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 12*z + 13*z - 95 + 3. What is the units digit of n(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - -70 - (-2 - -11) - (-18 - 62).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (14 - -1) + -38\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -684?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from nnnhnnhnhhhhh.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -55053 divided by -1\nAnswer: 55053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/((w\/(w\/(w\/w**(7\/5))))\/w)*w*w)\/(w\/(w*w**(-3\/4)*w))*w**(-1)*w*w**(1\/11)*w*(w**3\/(w**(6\/11)\/w*w))**38 assuming w is positive.\nAnswer: w**(22223\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 17.6. Let x = 17.0016 + r. What is x rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) - (sqrt(11)*-1 + -4)).\nAnswer: 2*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.94 + -5. Let w = f + 2.06. Let y = 47\/90 - -5\/18. Which is the nearest to w? (a) -3\/4 (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -3 + 1 + 0*k**2 - 2*k**2 - 1. Let m(o) = 445*o. Let j(l) = -119*l. Let i(h) = -15*j(h) - 4*m(h). Determine -3*i(p) - 4*z(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 199*d - 13 + 50 - 10 - 15 in the form c + k*d and give k.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 + d + 1. Let k(r) = -4*r**3 + 6*r**2 - 6*r - 9. Suppose 0 = 2*a + y - 8, -a + 4*y - 32 + 9 = 0. What is a*k(q) + 6*i(q)?\nAnswer: 2*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-189 - -176) + 18*3\/4. Which is the closest to -1? (a) o (b) 32 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*p - 354*p + 75*p + 59*p + 76*p + 87*p.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 0*t**3 + 1\/2*t**4 + 1\/2 - t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142534*z - 142529*z - 65 = 5*n, 0 = -z - 2*n - 2 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-27)*6\/2. Solve 0 = -0*q - q - 3*c - b, -2*q - 10 = 4*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + c = 11, 4*c + 1 - 17 = 2*n. What is the tens digit of (0 - -2)\/(n\/(-29))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**2 + 2*j - 2. Calculate u(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, -1\/10, 0.5, 3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 16*s**2 - 6*s + 19. List the prime factors of b(17).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -13. Suppose 5*x + i = -0. Let k be ((0\/(-2))\/(-1))\/(1 - x). Solve k*o + 1 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29307, 58625, 87943?\nAnswer: 117261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -7.13314923.\nAnswer: -7.03314923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196712108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590260*i = -590549*i + 8257 + 11684 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20118*f**3 - 6 + 6 - 3135*f**3 + 23244*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0544092 + -59756.8455908. Let f = -59782.9003 - i. Let m = f - -26. What is m rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -811 or -797?\nAnswer: -797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491046\/46 - 24\/(-276)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/14 and 41\/2094?\nAnswer: 14658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 2. Let y be 12\/7 - (-4)\/14. Suppose f + 1 = -2, f + 5 = d. Let x be y\/(-8)*d*6. Calculate u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-82)\/9 - -1 - 0\/29. Let d = -25\/6 - a. What is the common denominator of -125\/252 and d?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*j = 567*j - 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207 * 3.63.\nAnswer: -751.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.8 - 17. What is the second smallest value in 1\/3, y, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754\/170*(-60)\/36?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (14 - (28 - 9)) - (26 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6610840 rounded to the nearest ten thousand?\nAnswer: -6610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 20*d. Suppose -3*l + 23 - 17 = d. Suppose -l*m + m = -103. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -3024143?\nAnswer: -3024141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -6b0?\nAnswer: -6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/((-9)\/36). Let z be ((-1216)\/(-57))\/(1\/a). Let i be ((-14)\/12)\/(-7)*z\/(-6). Is 5 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11677*r - 246 = -11649*r + 1378 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -948201 * -68.\nAnswer: 64477668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13791839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 35 - 35)*(-2*m + 1 - 1).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2, 338 - 399 = -v + 2*m. What is the remainder when 3817 is divided by v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 94.2.\nAnswer: -847.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 - -92 - (-11 - -25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 966568 and 44?\nAnswer: 10632248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -12*v + 82. Suppose -2*x + 16 = 4*q, -v*q + 5*q = 5*x - 64. Suppose 429 = -3*n + x*n. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.6538 * -5.\nAnswer: 98.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264951 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-516)\/(-10) - (-15)\/(-25).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 2*h**2 + 2*h + 2. Let s(j) = -3*j**3 - 9*j**2 + 9*j + 9. Suppose 21 = 4*d + 5*u, 0 = -4*d - 4*u + 2*u + 30. Determine d*n(z) - 2*s(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 - 58*p + 45. Calculate q(-11).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:16 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-570)\/6840).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 430 + 222 = -6*f - 228, 2*z = -f - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:49 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2325 + 2346. Calculate the greatest common factor of 168 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849 a factor of 30551027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 31 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308243 = -52*z + 818363. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/(-2))\/(20\/(-4400)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -5*u**2\/2 + 4*u + 14880. Suppose -q = -4*l - 3, 4 - 9 = q. Determine n(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, j: 2, b: 3, o: 1, m: 1}. What is prob of picking 3 q and 1 m?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506227556?\nAnswer: 2, 3, 619, 202777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*s**4 - 2*l*s**3 - 19*l*s + 915*s**4 - 2*s**3 - 3*s**2 + 213*s + 4 wrt s?\nAnswer: 48*l*s - 12*l + 21960*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 - a268?\nAnswer: -a2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -8616, -4, 2\/5, -5.\nAnswer: -8616, -5, -4, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 3*x**3 + 11*x**3 + 2*x**3 - x**3 + 0*x**3 + (1 - 1 - 2*x**2)*(2*x + x - x) as j*x + g*x**3 + h*x**2 + t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z + 1. Let r be p(-5). Suppose 3*b = 218 - 14. What is the remainder when b is divided by 0 + r + 17 + -15?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 8)*(45*r - 12*r**4 - 45*r + 7*r**4 + 3*r**4 + 7*r**4 + (-4 + 4 - r)*(-3*r**2 + 2*r**3 + 3*r**2)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*k - 30*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 14 + 182. Let k be (-2)\/(-4) + (294\/f - 9). Solve -3*o + r + 2*r = -27, -2*o - k*r = 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:31 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1126 - 2?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l + 32. Let p(q) = 7*q - 33. Let i(v) = 4*a(v) + 3*p(v). Let y be i(8). Suppose -y*m + 905 = 5*r, m = -3*r - 39 + 578. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-1160)\/(-75))\/58)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47121 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrktwwwtwrrwwrwk. Give prob of sequence tkw.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32448 + 32497. Solve -11*t = -16 + z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6\/(66\/(-110) + 477\/770)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:33 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-2\/5))\/a)\/a)\/(a**(-3)\/a))**(-35)\/((a**1\/a)**(-14)\/((((a**(-2\/11)*a)\/a)\/a)\/(a**(1\/3)*a))) assuming a is positive.\nAnswer: a**(-4010\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 5*h - 11. Let s be d(-6). What is the tens digit of (160 + s)*1 - (-6)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 2*o**3 - 2*o**3)*(-o**2 + o**2 - 2*o**2) - o**5 - 2*o**5 + 4*o**5 + (-11 - 11*o + 11)*(-6*o**4 - 13*o**4 - 10*o**4).\nAnswer: 314*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j**(8\/5))\/j))\/(j**(5\/2)*j))\/(((j*j**(-22)*j)\/j)\/j**(-6\/11)) assuming j is positive.\nAnswer: j**(1689\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2168 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 15*v**2 + 5. Let d be i(-15). Let z(c) = -15*c + 17. Let x(r) = -22*r + 25. Let g(l) = d*x(l) - 7*z(l). Differentiate g(y) wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279778283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/463 in 0.3, 3, 3\/8, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -230 - -1314?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1416*500\/4*249\/9. Round m to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1816)\/1020 - (-21)\/2625*225?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:26 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -54*m**3\/7 - 70*m**2 - 468*m\/7 - 32\/7 = 0.\nAnswer: -8, -1, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 15 - 27*r + 113*r**2 - 2*r.\nAnswer: 113*r**2 - r + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28801.\nAnswer: 83, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63602, -63616, -63630, -63644, -63658?\n\"Answer: -14*b - 63588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -140, -5, -3, 2, 0.\nAnswer: -140, -16, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83746 is divided by 16743?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 12*s**2 - 2*s - 18. Let w be y(-12). Let x(z) = -3 - z**3 - 6*z**2 + 4*z**2 - 3*z**2 - w*z. Let b = -11 + 7. Determine x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*f + 80. Suppose a - f = 3*a. Which is greater: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434644604.401 - -0.5\nAnswer: 434644604.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 6*q + 7. Determine j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/5 + 16119*a**3 - 15309981*a**2\/5 + 160307601*a - 7071726222\/5 = 0. What is a?\nAnswer: -27054, 11, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c**2. Let t(g) = 16*g - 29. What is t(y(k))?\nAnswer: 240*k**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12236 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*j - 93. Suppose -6*z + j = -0*z. Suppose 2*u + 49 = 5*l, -u + 10 = 2*l - z. Solve -l = 2*k - 4*k + h, -2*k + 7 = h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/28 - (-3)\/(-12). Solve m = 6*x - 2*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -9. Let f(y) = 3*y - 79. Let u be f(28). Put u, s, -3, -1 in ascending order.\nAnswer: -3, -1, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + (5 + ((sqrt(200) + 0)*2 - sqrt(200) - sqrt(200)))*2 + 2 + 0))**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1155278554 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 63. Let w be (-1)\/5 + 1505\/25. Let a be (-46)\/w + 6\/9. What is the smallest value in z, 2\/7, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -12. Let o = 10.51 + -0.01. Let n = f + o. Which is the third smallest value? (a) -3\/7 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117385 divided by -438\nAnswer: 117385\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -200.4, 0.01, 3?\nAnswer: -200.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-275) - 144\/(-75).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 + 1 = 0. Suppose -y*m = m. Suppose -2*v - 2*t + 14 = -m, 31 = 3*v + 5*t. Solve 4*r + v + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + z**4 - 3*z**4 + (-3 + z + 3)*(-3*z**3 + z**3 - z**3) + z**4 + 5*z**4 - 4*z**4 - 3*z**4 + 0*z**4 + 5*z**2 - 3*z**2.\nAnswer: -5*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 6*b - 8. Let s be j(-2). Solve -2*k + 0*v = 3*v + 2, s = -5*k - 2*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -676 - -3822. List the prime factors of a.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i = -52*i - 23 + 138 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -2*h**3\/3 + h. Let r(w) = 551*w**2 - 276*w**2 - 302*w**2. Give b(r(d)).\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/3 (b) 8 (c) -3\/33346\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -63, 5.\nAnswer: -63, -22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t - 3*t)*(4 - 4 + t)*(-4*t + 4*t - 6*t**3).\nAnswer: 48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -s - 3*n + 6*n, 4*n + 28 = 4*s. What is the tens digit of s\/20*8 - -92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371*h - 71323 + 121*h + 71326 - 2*h**2)*(10*h - 5 + 2 - 11*h).\nAnswer: 2*h**3 - 486*h**2 - 1479*h - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 20202123?\nAnswer: -20202133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j)*(4 - 3 + 1) - 7*j + 0*j + 0*j + 63 - 32 - 31 - 21*j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y - 9. Let l be t(-4). Let d(w) = 22*w - 9. Let x be d(l). Suppose p = x + 27. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133156170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3470982 milligrams to micrograms.\nAnswer: 347.0982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/17 (b) 2\/11 (c) 0.08 (d) 6 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*a + 7 = 0, -4*u + 13 = 4*a + a. Let l be (u - (-5)\/(-2))*0. Suppose l = -2*n + 13 - 3. Solve 0 + n = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28677, 57377, 86063, 114729, 143369?\n\"Answer: -f**3 - f**2 + 28710*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - -5*(-12)\/(-20). Sort -75, r, -1, 4 in ascending order.\nAnswer: -75, r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 19. Let o(p) = 21*p**2. What is v(o(w))?\nAnswer: 441*w**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8))**2 + 4)*-5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0545 and -0.12557.\nAnswer: 0.006843565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, i: 2, q: 1, u: 4, r: 7}. Give prob of picking 2 r.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 + 20*x - 1 + 20*x - 39*x + 28*x**2 as z + v*x**2 + g*x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/7 or 66\/697?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2492275 + 170*t**3 - 2492275.\nAnswer: 170*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/((6 - 5)*(0 - 56\/308)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32467277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 79 = -n, -394*n = -392*n + 4*c - 110. Let y be ((-244)\/(-2))\/(1 + 1). Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114600251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -41*p - 96. Let y be l(-21). What is the tens digit of (-66)\/55*y\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48703 + -7)*(2 - -1). Let d = 3067273\/21 - k. Let o = d + 83\/3. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59242 divided by 38\nAnswer: -1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7 + 2 + 4 + 0 - 3*n + n**2. List the prime factors of c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54969625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 4*f + 379 - 379 - 2*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let q(s) = 2*s**2 - 3*s + 3. Let f be q(3). Solve -x + 4*d = x + y, -3*x - 3*d = f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -6. Let p be 4\/12 + 2\/(-6). Suppose 0*f = -5*x - f + 5, 5*f = 4*x - 33. Put a, p, x in decreasing order.\nAnswer: x, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 2881?\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 566666 and 9633322?\nAnswer: 9633322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 14*d**2 - 12*d + 2. Calculate z(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 30*w = 6*x - 16, w + 8 = 23*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1336622709 to the nearest integer?\nAnswer: 36560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*13\/351 + 43\/9*3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -2, -161, 0.2?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*g - 12, 6 = 4*t - 7*g + 2*g. Suppose -1 = 2*a - 5. Suppose n = 2*n + a. Sort n, t, -1 in descending order.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 0.3, -61\/4, 46120 in ascending order.\nAnswer: -61\/4, -1\/9, 0.3, 46120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 18*s + 1. Let c = -19 - -23. What is the remainder when k(c) is divided by ((-69)\/15 + 5)*40 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*y - 27 = -152*y. Let r be (0 + (1 - 0))*-1. What is the remainder when y is divided by 4*r\/(-1) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111100010100 (base 2) in base 9?\nAnswer: 17471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232226 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 146868144 + -4?\nAnswer: 146868140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 + -799.433?\nAnswer: 409.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63754776*i**3 + 2*i + 24714780 wrt i.\nAnswer: -382528656*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12444 and -0.4.\nAnswer: -4977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4 = 0, 2*y + 1 = -3*i - 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -22.71. Let o = k + 0.19. What is the second smallest value in 2, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/7 (b) 5\/871131 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 2. Let f(j) = 80*j - b*j**5 - 80*j - 2. Let p(s) = -s**5 + s - 1. Let y(g) = f(g) - 2*p(g). Find the second derivative of y(v) wrt v.\nAnswer: -160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4\/5 - 476*l**3\/5 + 976*l**2\/5 + 768*l = 0.\nAnswer: -240, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from ydrjuujjauy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*u + 1979, -2*u = -23*g + 26*g - 2962. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = 30*z - 10. Suppose -2*c + 0*c = -3*h + 5314, 0 = -3*h - z*c + 5342. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 4*v**2 - 32*v + 10. Let h = 5 - 13. Let m be j(h). What is the greatest common divisor of 330 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/18 - -77\/90. Let z be 3 + ((-56)\/(-10))\/(-2). Let m = 21 + -18. Which is the nearest to z? (a) 0 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19816, 19498, 18970, 18238, 17308?\n\"Answer: k**3 - 111*k**2 + 8*k + 19918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.124 from -0.3.\nAnswer: -0.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 173*w - 5454. Determine j(-44).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6130 and 180835.\nAnswer: 361670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*t + 144 = -7*r, 4*t - 10247 = -4*r - 10359 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -110.\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -20*w**2 - 660*w + 86. Calculate f(-33).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, g: 3}. What is prob of picking 3 s?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 83*y**2 + 488*y + 7. What are the prime factors of x(-12)?\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from qnnnoknynocncny?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 4. Let l be f(-3). Let c be l\/(5\/((-5)\/(-2))). Is 12 a factor of 190\/8 - c\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/5)\/(3\/30) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-54)\/405)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17526 + 24768. What are the prime factors of o?\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c11a + 1?\nAnswer: c11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -67. Let s = o - -13.9. Which is the second biggest value? (a) 3\/2 (b) s (c) -0.7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 316.343 and 46604.\nAnswer: 46920.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + 0.6. Let o = -20\/91 + 1\/13. Which is the second biggest value? (a) o (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*o + 152261 = -673*o for o.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3352 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roroorrrrrrrrrrrorr. Give prob of picking 3 r and 1 o.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 35 - 10 = -5*b, 2*y - 2 = 2*b. Suppose -14 = -b*s + 2. Solve -s*o - 25 = -q, o + 4*o + q = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**3 - 11*a + 6. Let s(b) = -9*b**3 - 2*b**2 - 26*b + 12. What is 5*k(u) - 2*s(u)?\nAnswer: -2*u**3 + 4*u**2 - 3*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/50)\/(3\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v. Let w(t) = t - t - 2*t + 0*t. Determine w(u(n)).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:53 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2353.8 (b) 35 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*2*6)\/(sqrt(90)\/(-4*(sqrt(9) + sqrt(81)))).\nAnswer: -576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177980000 rounded to the nearest one million?\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24093137.\nAnswer: 24093137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348 a factor of 965605544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.08, 69, -1\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 57?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639357 is divided by 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650750242?\nAnswer: 2, 269, 1097, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 198 = 63*z, -5*a + 141 = -0*z + 5*z - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2*4)\/(86\/72670)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -4 - (7 + -7). Solve -4 = f - j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -829*c - 36. Let b(g) = 2863366*g + 124350. Determine -20725*a(v) - 6*b(v).\nAnswer: 829*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -70*g - 68*g - 1 - 74*g + 6*g**2 + 205*g. Let f be w(3). Which is greater: f or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -12) + (-180 - -185)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 4, e: 6}. Give prob of picking 3 e.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 3177497.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 0*h**2 - 3*h**2 + 2*h**2 + 2*h = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -22*i. Let g be y(-1). Suppose 0 = 3*n - 2*p - g, -n + 2*p = 3*p - 9. What is the highest common divisor of n and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzy when three letters picked without replacement from {d: 1, z: 1, w: 1, h: 1, y: 2, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Suppose 4*i + q + 0 = -7, -i - 5*q + 22 = 0. Let y be (2\/i)\/((-6)\/9). Solve 0 = -a - y - n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q**3 - 81*q**2 + q - 12. Calculate u(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -14)\/((108\/(-30))\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 13895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (0 - -22)) + 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znzzsxnsnpnsnzsx. Give prob of sequence xps.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.337*476868.\nAnswer: 160704.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 5:54 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Suppose 0*l = 5*l - 470. Suppose -4*o + 322 = l. Let w(x) = -o + 47*x + 28 + 29. What is w(a(q))?\nAnswer: 94*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 125366 to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from pdidifwvppw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -15 + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:23 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 0.9, -1\/11 in decreasing order.\nAnswer: 0.9, -1\/11, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 5*p + 5*p + 2*p**2 - 15 wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33662483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4*i = 9, -5*f + 2*i + 0 = 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 9784905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 6)*(3 - 3 + m) - 10*m + 3*m - 3*m)*(m**3 - 3*m**3 + m**3 + (-4*m + 4*m + 2*m)*(-2*m**2 - 3*m**2 + 4*m**2) + 0*m**3 + 2*m**3 - 3*m**3).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356 + 358. Let h(g) = -g**2 + 2*g. Calculate h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20608 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 11) + -4 + 1 + (-11 - (-8 + -16))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:11 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*i + 8*z, -5*i - 8 = -207852*z + 207848*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/17 - 24*y**2\/17 - 2*y\/17 + 24\/17.\nAnswer: 2*(y - 12)*(y - 1)*(y + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127700*c**4 - 83*c**3 + 58523084*c wrt c?\nAnswer: 1532400*c**2 - 498*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 238?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -89\/4. Suppose 1 = -5*g - 17 + 3. What is the closest to t in -4, -2\/9, 3, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, b: 3}. Give prob of sequence rbbr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1011 + 5?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let s(w) = -2*w**2 + 2. Give s(j(r)).\nAnswer: -8*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2078357166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (18\/10)\/(1\/30*9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 5969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 24. Sort 4\/5, n, 6.\nAnswer: n, 4\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -3 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -438.65 + 7.65. Let w = x + 430.8. Let d be 2\/(-8) - (-9)\/132. What is the closest to d in w, -1, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + q**2 + 4*q. Let l(b) = 3*b**3 - b**2 - 5*b. What is 5*c(p) + 4*l(p)?\nAnswer: 2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - 3*s**2 + 5*s - 5. Let y(v) = 13*v**3 + 13*v**2 - 20*v + 21. Let l = -50 + 41. Let m(j) = l*w(j) - 2*y(j). Suppose m(q) = 0. What is q?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*p**3*u**2 + 37*p**3 + p**2*u**2 + 2*p**2 + 80*p + u wrt p?\nAnswer: -96*u**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqrqhqrdrqq. What is prob of sequence rp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13303 + -4215. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1636241894 - -1636242120.0000266. Let n = v - 226. Round n to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -3\/2 (c) 31 (d) 2\/5 (e) 142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 17 + -11 - -63\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(567) + 3)*1)**2 + ((4 + sqrt(847) + -1 + sqrt(847) + sqrt(847) - sqrt(847)) + sqrt(847)*2 + 2)**2)*3.\nAnswer: 1212*sqrt(7) + 42444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1028959 and -0.2.\nAnswer: 205791.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/3*(-60)\/(-170).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10350 is divided by 280.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let j be c(0). Is j\/((-4)\/(-1)) - -15 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*x + 2. Let s be 14\/2*36\/(-14). Let c = 34 + s. Solve 3*u = c - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from {b: 3, q: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1226 + 1354. What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(833) + (-2 + sqrt(833) + sqrt(833))**2.\nAnswer: -49*sqrt(17) + 3335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 23*k + 23*k + (-2*k**2 + 0*k**2 - 5*k + 4*k)*(-2 + 1 - 1).\nAnswer: 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - (5 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045318 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (2 - 29)) + -35.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 8*a**2 - 9*a + 12. Let z be k(9). Solve -3*n + 3*p - 15 = 0, 4*n - 2 = -p - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 5*w**2 + w - 4. Let h be j(4). Calculate the highest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d**2 + 42 - 5 - 6*d + 2*d - 25. Does 29 divide f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -2. Solve -15 = -4*m - t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 718 - 6460\/9. Let k be (-16)\/32*1\/(-2). What is the second smallest value in -15, s, -1\/7, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:21 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-957)\/(-22)*(-4 + -13)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230535773 to the power of 1\/3, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 2099*b**5\/12 + b**4\/6 - 2*b**3\/3 - 172*b**2. Is x(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 31\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71535219 < 71535221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -252 + 193 - 27*n - 264 - 234*n + 9*n wrt n.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -209, 0, -1\/6 in descending order.\nAnswer: 0, -1\/6, -1, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 787411369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -11 - (7 - 1)) + -84 + 68?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18581614.\nAnswer: 2, 257, 36151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11155 = 3*m - 2*y, 30*m = 26*m + y + 14870. List the prime factors of m.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 4. Let m be (-164)\/(-16) - 2\/8. Suppose m*b = 6*b. Let a be i(b). Solve -a*n = -9 + 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -9*m + 0*m**3 + 0 + 1\/12*m**4 + 0*m**2 - 3\/20*m**5. What is the third derivative of d(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:27 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i**2 - 62*i - 481. Let w(d) = -10*d**2 - 47*d - 480. Give 3*q(f) - 4*w(f).\nAnswer: 7*f**2 + 2*f + 477","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127944 and 117282.\nAnswer: 1407384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -77, -85, -93, -101?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 12, 3*s + 70*q + 32 = -0*s + 75*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -16*l - 4. Let y be (-16 + 10)\/(l + 0). Let a be y*(-1)\/(3\/5). Solve a*r = -3*x - 19, 3*x + 0 = r - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 - 171?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*s + n, -3*n = -5*s + 2*s - 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 14. Suppose 83*b = 79*b + 64. What is the least common multiple of b and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -8, -4 in increasing order.\nAnswer: -8, -6, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/20*0\/2)\/3. Let n = 1\/100 - -119\/100. Is n at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64777991 minus 0.171254?\nAnswer: -0.81903391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21395263546953231 + 3*h**2 + 21395263546953229.\nAnswer: 3*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -15. Let j(w) = -18 + d*w - 21 + 39. Let c(i) = -6*i**2 - 8*i. Calculate j(c(p)).\nAnswer: -12*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1499171 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19344, -36890, -54424, -71940, -89432, -106894, -124320?\n\"Answer: r**3 - 17553*r - 1792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from aacaaaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -5*w**2 + 0*w + 0 - 5\/24*w**4 + 67\/3*w**3. What is the units digit of c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 5. Let h(s) = 4. Let d(z) = 2*z - 31. Let o be d(18). Let g(l) = o*c(l) + 4*h(l). What are the prime factors of g(-10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:31 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83573\/7428 + -2\/1857. Let u = -11 + b. What is the smallest value in 0.2, 0.5, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4904374 and 1288990?\nAnswer: 3106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 781 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 28720*l**2 - 14356*l**2 - 14363*l**2. Let s(p) = 71*p**2. Determine o(s(v)).\nAnswer: 5041*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 2*v**2 - 7*v - 6. Let l(k) = -k - 1. Give 6*l(q) - n(q).\nAnswer: 3*q**3 + 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8580153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 28*b**3 - 48*b**2 = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9))**39\/(o**(-8))**(12\/11) assuming o is positive.\nAnswer: o**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 13*q - 1. Let z be d(-12). Let f be ((-5)\/3)\/((-1)\/3). Let l(g) = 31*g**2 + 693*g + 244. Let b be l(-22). Solve z = b*h + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*g, 2*r = 4*g - 6*g - 20. Let j(l) be the first derivative of l**3\/3 + 3*l**2\/2 - 5*l + 10. Determine j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v - 452. Let x be b(8). Round x to the nearest 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c - 29 - 64 + 11 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.39069 - 27.6902. Let p = 9.7 - y. What is p rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.935 + 0.035. Let x = -0.03 - o. Let w = 1.9 + x. Which is the third smallest value? (a) w (b) 0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686 (base 11) in base 12?\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12341321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzyyyyzyyyzyzzyyyyy. What is prob of sequence zyzy?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -4809714\nAnswer: -3\/801619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 + -108. Suppose -45*h = -b*h - 20. Suppose -5*g + 3*j - 42 = -h*g, 0 = -3*g + 2*j + 10. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Is ((-284)\/(-16) - 1)*g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40639*u**2*w*z**3 + 84*u**2*w + 33*u*w*z**3 + 338*u*w*z + 265*u wrt u.\nAnswer: 81278*w*z**3 + 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 988501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25717321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)*x**(1\/6))\/((((x*(x\/(x*x**(-5)*x))\/x*x)\/x)\/x)\/((x**(2\/17)\/x)\/x))*(x\/x**(-7)*x**(-11))**(-2\/11) assuming x is positive.\nAnswer: x**(-811\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*c + 52, 0 = -5*d + 2*d - 2*c + 49. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3550 - 8488. Let b = v + 8265. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -13715*n + 27424*n - 13711*n. Let i(o) = 6*o - 28. Calculate i(p(l)).\nAnswer: -12*l - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3)*-2643 - (-15)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-624)\/(-210))\/((-42)\/(-105))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3 + 1004*s**2 + 77836*s + 1920036 = 0. What is s?\nAnswer: -129, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 19. Let r = 23\/24 + -5\/8. Let i be (-6)\/10 - 364\/(-490). Which is the closest to 8? (a) v (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61551 - 150083 - 91019 = 2430*x - 32923 for x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + h**2 + 1. Suppose -8*m - m = 18. What is i(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24012 is divided by 369.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let m(r) = -r - 7118. What is b(m(z))?\nAnswer: -2*z - 14236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11018*m**3 - 188*m**2 + 19636*m**3 - 9751*m**3 wrt m?\nAnswer: -6798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*3)\/((-11)\/(242\/44))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*w + 32782 = 93*w + 6833. Solve -7*y - w = 4*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/6, -1, 26, -3\/4 in increasing order.\nAnswer: -1, -3\/4, 0.1, 1\/6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0 (c) 11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55009?\nAnswer: 55009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.89941 + -2.9. Round l to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -157*a + 6. Let o(s) = 2*s + 1. Give 4*o(h) - x(h).\nAnswer: 165*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaa when three letters picked without replacement from azaza?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 3799?\nAnswer: 3799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2422, -1 in increasing order.\nAnswer: -2422, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96174 and 68774.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144895*a**2 + 145186*a**2 - 290069*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011643 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*d - 24374, -4*d = d - 2*k - 60935. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -7*m**5\/120 + 5*m**4\/24 - 7*m**3\/6 - 9*m. Let y(n) be the second derivative of a(n). Is y(-9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, b: 8, u: 10}. What is prob of picking 3 b?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111284 (base 11) in base 16?\nAnswer: -38c51f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 49. Suppose c*q = 25*q. Suppose q = f + 3*f + 4*j - 12, f - 5*j = -3. Solve -f*v - 3*v = 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816)*-3 - sqrt(102)\/(sqrt(12)\/sqrt(6)))\/((sqrt(363) - -2*sqrt(363))*-6*2).\nAnswer: 13*sqrt(17)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2.1 (b) -1 (c) -8\/13 (d) -0.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 + 151. Put -5, u, 3 in increasing order.\nAnswer: -5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21880764?\nAnswer: 2, 3, 37, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02959 + -7.02959. What is the biggest value in m, 65, 0.2?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -1, -9, -13, 2, -2 in descending order.\nAnswer: 55, 2, -1, -2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1354 - -3193. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 256867 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4*((-13 - -8) + 1). Let d(t) be the first derivative of 3 - 1\/3*t**2 - 2\/27*t**v - 4\/9*t. Factor d(o).\nAnswer: -2*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddq when three letters picked without replacement from {u: 1, q: 1, m: 1, s: 1, d: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 420050.\nAnswer: -7\/420050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8181267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 + -231. Let m be 0 - (38\/(-171) - 11\/d). Which is greater: m or -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/9)*k)**22*k**(2\/11)*(k*k*k**(-2\/11)\/k*k*k)\/k)**(-2\/71))**(8\/9) assuming k is positive.\nAnswer: k**(-2752\/5751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/69, 3\/7, -1 in decreasing order.\nAnswer: 3\/7, 2\/69, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 21*q + t + 2 = 19, -t - 23 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 0.06?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2 + 7*g + 6. Let d(y) = y - 2*y - 3*y - 10 + 7*y. Let w be d(7). Let n = 6 + w. Let s(c) = 20*c**2 - 20*c - 17. Determine n*j(x) + 6*s(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z + 6*z**2 + 0 + 5\/24*z**4 - 1\/2*z**3 + 1\/60*z**5. Calculate k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by (-11874)\/(-30) - (24\/20 - (-28)\/(-20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 6*b - 5. Suppose 0 + 2 = -y. Let m(a) = 2*a**2 + 2*a + 63. Let l(t) = 2*t**2 + t + 50. Let p(w) = -5*l(w) + 4*m(w). What is y*n(r) - 5*p(r)?\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2346904.3 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 14515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**7\/1260 - k**6\/180 + k**5\/60 + 3*k**4\/4 + 6*k. Let f(o) be the third derivative of g(o). Factor f(l).\nAnswer: 2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 + -0.8. Which is the biggest value? (a) 0 (b) u (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 335 - 334.9724. Let z = i + -0.02902. What is z rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7564392 decades in years?\nAnswer: 7.564392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -404, -896, -1584, -2468, -3548, -4824?\nAnswer: -6296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*d**2 + 648 + 67*d**2 + 632 - 3*d - 1351 with respect to d.\nAnswer: 392*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + f**2 - 16 + 32.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 16 = 8*m. Suppose 3*j + 25 + 16 = r, -m*r + 196 = 4*j. Suppose r = 5*k - 43. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/11)\/(1\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*j**3 + j**2 - 4*j - 10156.\nAnswer: 279*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 9, 5*o + 6*p - 1 = 4*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1672*g + 6762. Determine s(-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 0, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -28018270\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 - -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25068 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-26)\/((s*s**(-4\/7))\/s**(1\/3))*((s*s**(-2\/13)*s*s)\/s**0)**(4\/7) assuming s is positive.\nAnswer: s**(7516\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(3 + 4 - 5)*(-13*r**2 + 4*r**2 - 2*r + r) + 56 - 19 + 34*r**2 - 35*r**2.\nAnswer: -55*r**2 - 6*r + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4231233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-885)\/38350*13*(-10)\/(-37).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -4216 (b) 3\/7 (c) 13169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:46 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = -4*s, 16*s + 175 - 127 = 0. What is the second biggest value in -0.2426, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83828466.32765041 + 88556112.3656502. Let h = -4727669.038 + v. Let o = -23 - h. Round o to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000110101010011100 - -10?\nAnswer: -10101000110101010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v + 4. Let b be s(2). Solve 0 = b*p + 6 + 14, -3*d = 4*p + 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 91?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let i = -1.04 - -0.54. Let n = -0.071 - 1.329. What is the closest to d in n, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 354091 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85921*b**2 + 85875*b**2 + 85860*b**2 - 257675*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.2. Let n = v - 0.3. Round n to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11389*d**3 - 13*d**2 - 28*d + 6. Let g be w(-3). What is g rounded to the nearest 1000?\nAnswer: -308000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939.2899 millilitres to litres.\nAnswer: 0.9392899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 11525, -8, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332688799 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 66000 and 109300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 221 = -2*c. Let r = c + -151. Factor 3\/5*y**r + 0 + 6\/5*y**2 + 0*y.\nAnswer: 3*y**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 381. What is the hundreds digit of i(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-64)*4*1. Suppose 5*m - r*m = 26. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3001 or 3000?\nAnswer: 3001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-10\/9)*j))\/((j\/(j**10\/j))\/j))**(-46) assuming j is positive.\nAnswer: j**(-3772\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22292169*x**4 - 12512*x + 264 wrt x?\nAnswer: -267506028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -21*j - 5. What is the remainder when x(-3) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -213*h**3 - 5*h**2 + 10*h + 23. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + j - 21*j to the form i + z*j and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*y + 421, -2*y + 5 - 1 = 0. Let f = -139 - p. Put 4, 5, 1, f in descending order.\nAnswer: 5, 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053333241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.95 - 0.05. Let j be 2*(2 + (-26)\/12). Which is the closest to 1? (a) -4\/5 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:53 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/11590458 and -109\/12644136?\nAnswer: 139085496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10016152 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/21494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14747, 27351, 39953, 52553, 65151, 77747, 90341?\nAnswer: 102933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 14*h - 4589. Which is greater: -357 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-49)\/28*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 17*y**2 + 23*y + 80. Let a be n(-18). Let b(k) = 2*k + 1. Calculate the remainder when (16 - 31)*(-7)\/a*-2 is divided by b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21*s + 215755. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + t**5 + 5)*(2 + 1 - 1) + 9*t**5 - 8*t**5 - 6*t**5 + (1 + 0 + 5)*(-t**3 - 4*t**3 + 3*t**3)*(t**2 + t**2 - 6*t**2).\nAnswer: 45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 10*f + 5. Let a be p(9). Let t be 0\/(4\/8*a). Suppose -n = -t*n - 78. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 169*z**2 + 692*z.\nAnswer: -z*(z - 173)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.8, 2\/9, -31\/2?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510655 and 530.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 313 in 1, -2\/31, 0.3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {d: 5, l: 2, p: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193202 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -23. Which is the closest to -1\/4? (a) -1 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1457258.1261 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((4368\/(-70))\/(-13) + 10)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43122 - 2?\nAnswer: -43124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k**2 + 7*k - 1. Let x(v) = -9*v**2 - 8*v + 2. Let d be (-240)\/36 + (6\/(-9))\/2. Calculate d*c(g) - 6*x(g).\nAnswer: -2*g**2 - g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:47 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -588632 - -4260214. Let x = q - -38418. What is x rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -322\/9 + 2236\/63. What is the nearest to 0.1 in n, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176849969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rgggggrgggggqgrgqqq.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round 3.4241174 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1123 - 663. Calculate the highest common factor of a and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 15*b**2 + 20*b + 24. Suppose f = -2*c + 2*f + 25, 0 = -c + 3*f. Let d be w(c). Suppose -2*q + d = 2*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 6*c + 7. Let n be m(5). Let g = n - 6. Let x = 0.32 + 0.08. What is the closest to 0.2 in x, -2\/7, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10*s**18 assuming s is positive.\nAnswer: s**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-22) - (-4278)\/4. Is (r\/2)\/((15\/10)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13370 + 13600. Calculate the highest common factor of 17710 and l.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 9*l + 3*l)*((0 - 1 + 0)*(-2*l + l + 2*l) - 7*l + 7*l + 5*l).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, p: 2, h: 2, w: 4}. Give prob of sequence wwhw.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 478 + -472. Is ((-4604)\/6)\/(-3 + 14\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -45. Does 29 divide h - 382\/(-4)*(-6)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 30 = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.47, -2\/21, -4, 2, -3\/4 in increasing order.\nAnswer: -4, -3\/4, -0.47, -2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1651 + -1644. Solve y*x - 30 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = 2*c, -4*t + c + 10 = -t. Let s = t + 9. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:29 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 = r - 27, -r + 5*g = -1. Suppose u - 22 = -3*s, -s - 5*u + 20 + 6 = 0. What is the lowest common multiple of ((-6)\/s)\/(2\/(-4)) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose 4*c = z*p + 107, -p + 0*p = 4*c - 89. Let v = c - 21. Calculate the greatest common factor of v and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80587102.\nAnswer: 2, 191, 210961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -23*v**6\/120 - v**4\/12 - 3*v**3\/2 + 3*v**2. Let n = -38869 - -38878. Let q(k) = -11*k**3 - k - 4. Calculate n*q(s) - 4*r(s).\nAnswer: -7*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1328, 1, -3, -9, 2, -1 in increasing order.\nAnswer: -9, -3, -1, 1, 2, 5, 1328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4756982860.\nAnswer: 2, 5, 7, 31, 1096079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*s*u**3 - 1578*s*u - s + 3*u + 63612 wrt u.\nAnswer: 21*s*u**2 - 1578*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -25. Let j(a) = 2*a**3 - 4*a**2 + 2*a. Let z be j(2). What is the highest common divisor of l and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/21 + 2*a\/21 - 8\/7.\nAnswer: 2*(a - 3)*(a + 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 2 + 2)*(-13 - 5 - 12 + 307*d + 4 + 15) to the form m*d + v + s*d**2 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaiiapmwawawawia. What is prob of sequence ma?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bbdbdldoodbxyy.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4 + 10*i**2 + 2*i - 2*i**2 - 36 - i**3 + 7*i**2. Let u be n(15). Which is the closest to 3? (a) -0.3 (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032228 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67\/12 - 16\/3. Let k be (12\/(-189)*-3)\/(2\/3). What is the closest to k in -3, h, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-2))*n*(n*n\/(n\/(n*(n*n**(2\/7))\/n)))\/n*n*n**(-1)\/n*n*n**15 assuming n is positive.\nAnswer: n**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -291685 - -120445. Let b be 1\/5 + (-201447)\/z. Let s = 2\/1427 - b. What is the common denominator of 107\/20 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/(13 - 14). Let p be y\/(4 - 724\/180). Let g be (10\/p - -4) + -4. Put 0, g, 1 in decreasing order.\nAnswer: 1, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 585\/(-105) + ((-33)\/(-21) - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 42413a?\nAnswer: 424135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 2*o + 5, -28*o = -27*o - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(3 + 3 - 4)*((-1 - 3*s + 1)*(0 + 0 + 4*s) + 580*s - 580*s - 28*s**2).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 minutes before 4:53 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*w = 16, 20 = -3*u - u + 4*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -302f + df9?\nAnswer: -2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 3816 = -16*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1 + (-12 - -60)\/(-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/35 + (-2)\/(-10))*-10. Suppose 29*g - 27*g = r. Solve 0 = -l + g*b - 2, -5*b + 4 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398359313 to the power of 1\/3, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w = -28*w - 10*w - 21*w + 132 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let s = -2 - -4. Is n\/4 - (-283)\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1839.0145 from -0.06.\nAnswer: 1838.9545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*d = 816*d - 2091 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 12*p**2 - 4*p**2)*(-6 + 3 + 1 - 5 + 1 + 3 - 2 - 1 + 2 + (4 + 1 - 3)*(-4 + 1 + 2) + 2 + 0 + 0) as l + i*p**2 + t*p and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83334013 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 131, 262, 391, 518, 643, 766, 887?\n\"Answer: -b**2 + 134*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35285, -282603, -953921, -2261243, -4416573?\nAnswer: -7631915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 + 38*d**3 - 19*d**3 - 3710*d.\nAnswer: 2*d**3 - 3710*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 174 = 984. Suppose -4*k + m = k. 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 -d (base 15) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 161 = -5*o, o = 2*i + 2*i + 41. Let m = o - 30. Suppose 3*j + 0*j = -15, b - m*j = 39. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -28*m - 25. Is o(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731848.\nAnswer: 2, 216481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 2, l: 18}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 718 + 651. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15327, 54, 1, -3 in decreasing order.\nAnswer: 15327, 54, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4133, 2\/1167, -1 in decreasing order.\nAnswer: 4133, 2\/1167, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115673837 at least as big as 115673837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227 - -242. Let r be (6\/q)\/(10\/75). Solve -9 + 3 = r*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 35 = -3*u. Let g be u - ((-2)\/(-2) - -1). Suppose -y + 16 = 4*m, g*y + m - 19 = y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5458 divided by 5458.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3616 is divided by 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51696.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 16 + 40. Let h be (-7)\/(t\/(-8)) - -6. Solve -4*a - 2*i = -h, -3*a + 4*i + 0*i = -25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-754)\/91)\/(1\/(-7)). Suppose -2*c + v = -2*n, -2*c - c + 111 = 3*n. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 4:15 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Let o(y) = y**2 - 4*y - 2. Determine o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -931 or -2\/649?\nAnswer: -931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n - 243. Let i be (-1)\/(((-104)\/(-144))\/(-13)). Let t be a(i). Solve 32*m - t*m = 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 222771430315.\nAnswer: -222771430314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189 + 211. Factor 18*w**5 - u*w**5 - 10*w**4 + 12*w**3 + 2*w**4.\nAnswer: -4*w**3*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/((-5928)\/(-475)))\/((-420)\/144).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**4 - 1\/945*c**7 + 54*c**2 - 1\/270*c**6 + 0 + 0*c**3 + 1\/90*c**5 + 0*c. Factor g(s).\nAnswer: -2*s**2*(s - 1)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29789.\nAnswer: 29789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n + 74 + 24 + 6*n - 8. Let h be j(0). Let y = 119 - 83. Calculate the highest common factor of y and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49534*l + 16011*l + 17964*l + 20761*l)*(l + l - 6*l).\nAnswer: -20808*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 33*n**2 - 5*n - 11. Give o(-2).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3 + 0 + -2). Let b = 15 - 11. Sort b, -4, o.\nAnswer: -4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 89923, 89920, 89917, 89914, 89911, 89908?\n\"Answer: -3*f + 89926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.15. Let k = 0.07 - w. Let z = 20 + -20. Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 186*u**2 - 1694*u + 24. Determine r(9).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 295\/118*12\/(-55) + 375\/990?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 25, -21*r = -16*r - 5*d + 10. Let j(o) = -o**2 + 3*o + 11. What is j(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0*z**2 + 2*z**2 - 1 - 5*z + 0*z + 5. Let n be r(3). Solve -b = 2*i + 14 - 2, -n = i + b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1035335655.617 and -1.\nAnswer: 1035335654.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 12*q**2 + 418*q - 813. Let h be x(-28). Let t(k) = -391*k + 1. Let c be t(-2). What is the greatest common factor of c and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.045 - 36. Let p = d - 2.045. Let h = 0.9 + -0.8. Which is the biggest value? (a) -0.2 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**3 + 4*x**2 + 3*x - 8. Let t(n) = 13*n**3 - 3*n**2 - 2*n + 7. Let o(l) = -4*r(l) - 5*t(l). What is the tens digit of o(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1566 - 6199\/4. Let g = -4753\/4 + 1203. Calculate the common denominator of t and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -7\/30, -10, 3, 6, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.8763 kilometers in nanometers?\nAnswer: 174876300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 395, 786, 1173, 1556?\n\"Answer: -2*f**2 + 397*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16933 or -16935?\nAnswer: -16933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 68, 1, -6, -5, -9.\nAnswer: -10, -9, -6, -5, -1, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665466 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-15))\/7)\/((-19)\/((-15960)\/28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -3585294?\nAnswer: -35852.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 318*h**2 - 8*h - 8. Let u be c(-5). Let s be (-5)\/(-20) - u\/(-8). Let y = s - 477. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 6*k - 5. What is f(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p = 5*a + 8, 0 = -p + a + 4. Let s(d) = -85*d**2 + 14*d + 172*d**2 - 86*d**p. Let y(z) = -6*z. What is y(s(f))?\nAnswer: -6*f**2 - 84*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -378*p - 4737. Let m be d(-13). What is the greatest common divisor of m and 1829?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6931*g - 110938. Calculate q(16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.6 minus 3244187931?\nAnswer: -3244187956.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1073)\/1073*(-2)\/(-38)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -72*c**3 + 3*c + 4. Let u be p(-2). Let i = 808 - u. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/6)\/(7\/1358) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 26*h - 4*i - 40 = 0, -56 = 7*h + 5*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:42 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2468, -0.6?\nAnswer: -2468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:15 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6689747, -6689765, -6689783, -6689801?\n\"Answer: -18*q - 6689729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 2208858.405?\nAnswer: 2208851.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 2}. Give prob of picking 2 t and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 - 330. Let x(m) = -11*m - 179. Let t be x(o). Sort t, -25, 1 in descending order.\nAnswer: 1, t, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -51. Suppose w = 9*j - 6*j. Solve j*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 232170.07 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 7941.055 millimeters in micrometers?\nAnswer: 7941055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -3*w + 57. Suppose -75 = -6*s + s + 4*v, 3*s + v - w = 0. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -34 and -733 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 274 + -276. Find the common denominator of 434\/(-40)*c*(-9)\/(-63) and 4\/(-14) - (-151)\/(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 636*i + 880 = 665*i - 2*z, -4*i - z = -115 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Let x be k(-3). Let t = 412 - 410. Put 11, x, t in descending order.\nAnswer: 11, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-26)\/(-48))\/((-21437)\/(-14841)))\/(3\/(-14)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8029, 8025, 8027, 8041, 8073, 8129?\nAnswer: 8215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 6 + 8 + p**3 + 6. Let s be d(0). Suppose -2*z + 2 = 0, 3*n - 4*z + s = 1. Which is the second biggest value? (a) n (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.01 + 5.01. Let y = -5.6 + 5.3. Which is the nearest to 28? (a) y (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1816*k + 24169 = -642*k - 4007 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.31.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -39 (c) -52121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 430.6495l?\nAnswer: 430649.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 28. Let r be ((-432)\/(-84))\/((-1)\/j). Solve 4*l + r = -4*y, -y + 4*l + 6 = -10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124+66.8054\nAnswer: -57.1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 2 - 1) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 12, y: 6}. What is prob of sequence oyyo?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 - 377899*t**3 + t**2 - 21*t - 214903 wrt t.\nAnswer: 24*t**2 - 2267394*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7064965 * 0.2.\nAnswer: 1412993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 115.4, -0.15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/6 - 8*f**3\/3 + 5*f**2 + 26*f + 2. Let c be (-2)\/1*((-187)\/(-22) - 12). Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -20 + 5 - 2 + 4 - 16*f + 7. Calculate the remainder when 44 is divided by a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9528.483 years?\nAnswer: 9.528483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 302920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813567 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45890726.\nAnswer: 2, 7, 31, 41, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3102*v**2*w**2 + 13927*v*w**2 wrt v?\nAnswer: -6204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136503 and 60668.\nAnswer: 546012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97309 is divided by 19461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)*2\/(-4). Calculate the remainder when 39 is divided by (j - -7) + 1 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -9)\/(3\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 10\/(-35)*4*-28?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**3*k*k))\/k*k*k)\/k)**(1\/20)*(k**(-7\/4)\/k)\/(k\/(k\/k**(-1\/2))) assuming k is positive.\nAnswer: k**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 2. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Suppose -4*d - 95 = -5*r, -d - 55 = -b*r + d. Let z = 17 - 9. What is the remainder when r is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3\/11 + 134416*g**2\/11 - 672118*g\/11 + 806556\/11 = 0.\nAnswer: -67213, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oetdwooeeedeeoowtod. What is prob of picking 1 d, 1 o, 1 e, and 1 t?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2)*-1)\/(24\/32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-24) + 20\/(-6). Which is the nearest to q? (a) -2\/5 (b) -2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.292 + -0.692. Sort -4, -3, k in increasing order.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90459, 90461, 90463, 90465?\nAnswer: 90467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/3 + 5*s**3\/3 - s**2\/2 - 263*s. Let f(y) = 7*y**2 - 19*y + 2. Give 5*c(n) + 3*f(n).\nAnswer: n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*m = -0*m - 106, -l = 2*m + 14. What are the prime factors of (-1)\/(-6) + (-2396)\/l + -2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -73\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319715 and 1980.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000010100111111011001 - -11011?\nAnswer: -1000000010100111110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 + 5747352*l**4 - 3670295384934*l**3 + 781348381954924608*l**2 - 27343049812724811231*l + 74997113098089970656 = 0 for l.\nAnswer: 3, 32, 638583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b4 + -223?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 216186, 432386, 648586?\n\"Answer: 216200*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 4*z**2 + z + 4. Let o be h(-4). Let i(w) = w**2 + 15. Let c be i(o). Suppose 0 = 2*q - q - c. Calculate the remainder when 28 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 + 233*q\/3 - 155\/2.\nAnswer: -(q - 465)*(q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 + -1)\/1)\/((-11)\/44). Solve -31 - g = -7*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93854*g**4 - 46*g**3 - 263168993?\nAnswer: -375416*g**3 - 138*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 - (-31 + 30 + -54 + 30)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + sqrt(432) + 1 + sqrt(432) - sqrt(432)) + 1)**2 + 1*(0 + sqrt(432) + 3 + 1).\nAnswer: 204*sqrt(3) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7346, 14783, 22312, 29933, 37646?\n\"Answer: 46*k**2 + 7299*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.43935 rounded to 1 decimal place?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 6119932?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30\/1787 + -233557\/32166. Let z = 23622005 + -424824347\/18. Let x = z + -20646. Find the common denominator of x and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33770 is divided by 1926.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:19 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.226 (b) 0.4 (c) -1\/6 (d) 0.025\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s - 3. Let r(n) = -39*n - 7. Let w = -75 - -72. Let v(c) = w*r(c) + 7*l(c). Let f(p) = -3*p. Give v(f(k)).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -14 + 6 + 4 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 44*t - 13. Determine m(-21).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 22*b = 0. Suppose 2 = 5*v + 17, b = -2*p + 3*v + 47. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 11) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116476 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8 + 1)*16. Suppose -y = -4*y - m. Sort 4, 2, y in increasing order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 - -2.31. Let q = -96.1 - -96. Sort s, -4, -2\/9, q in ascending order.\nAnswer: -4, -2\/9, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18229, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = -4*x + 454. Suppose 5*f - x = 5*i + 140, f - 274 = 4*i. Which is bigger: i or -72?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68443, 93645, 118847, 144049, 169251, 194453?\nAnswer: 219655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(-6 + 53\/9) + 966. Calculate the greatest common divisor of 128 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268872680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 + 3*p**4 - 4*p**4)*(1 - 2 - 2).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2299) + 2 - sqrt(2299))*-6)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 + 8*q + 1\/3*q**2 + 2\/9*q**3 + 1\/18*q**4. Factor k(v).\nAnswer: 2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/594)\/(3\/4) - 79\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 8. Let m be i(-6). Suppose 4*z + 8 + 16 = 0. Let s = z + 12. Solve m*q = -0*q - s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 8:51 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7*q + 14 = -3*q, -3*t = -2*q - 38. Let c = t - 6. Sort c, -2, 3.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 7:28 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*o - 819 = 50*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 0*c**3 + 0*c**5 + 5\/12*c**4 + 0*c**7 + 0*c**2 + 0*c**6 + 0 + 5\/56*c**8 + c. Find the third derivative of b(s) wrt s.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600748309090 plus 0.6?\nAnswer: 600748309090.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357693.\nAnswer: 3, 7, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21574001, 21573991, 21573969, 21573929, 21573865, 21573771, 21573641, 21573469?\nAnswer: 21573249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 - 3682*f - 7362. What is n(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*m**5 - 969*m**4 - 3645*m**3 + 11733*m**2 + 20514*m + 6120 = 0. Calculate m.\nAnswer: -5, -1, -2\/5, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1 = 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 10*t + 0*t)*(t + 5*t - 5*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/119 and 12\/51834989?\nAnswer: 362844923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015081 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -137417*q**3 + 3516. Let p(b) = -586*b**3 + 15. Calculate 1172*p(l) - 5*r(l).\nAnswer: 293*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j\/(j\/(j\/j**5)*j))))**(6\/11) assuming j is positive.\nAnswer: j**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*h - 690 = 246*h. Let g = h + 124. Solve 0 = -g*q + 5*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1566 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voovoovvoovovvovovov. What is prob of picking 1 v and 1 o?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691255210?\nAnswer: 2, 5, 59, 1171619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -22. Suppose -d*r + 9*r = 4. Suppose q - 5*q = -r. Solve 4*h + q + 11 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.92 - 4.2. Let p = 1.4 - y. Let u = p + 2.42. What is u rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250133229.\nAnswer: 3, 283, 98207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)*r*r**12)**(-5\/11) assuming r is positive.\nAnswer: r**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 106. Suppose -2*v + 374 = 4*x, f*x + 4*v = 3*x + 372. Is 95 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 5*g**3\/6 + 96*g. Let z(q) = -9*q**2. Determine z(i(n)).\nAnswer: -225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 37 = -i + 3*b, -4*i + b = -161. Let m be (-3)\/2 - ((-85)\/i - -1). Let z = -6 + 5.6. What is the closest to 2 in -4, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 135, 204, 273, 342?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2128 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-17)\/o**(2\/33))\/(o*o\/(o*((o*o\/(o\/(o\/o**3*o)))\/o)\/o)*o)**(-20))**(8\/5) assuming o is positive.\nAnswer: o**(16616\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 286827782 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -0.005.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (10 - 6)) + 4 + 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111358.\nAnswer: 2, 17, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101010011 - 10?\nAnswer: 100101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z + 9. Let k be t(-6). Suppose k*y = y + 4. Suppose -2*v - 4 = -y. Put v, -3, -4 in decreasing order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91355, -91049, -90735, -90407, -90059?\nAnswer: -89685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 + p - 1. Let s(o) = 7*o**3 + 17*o**2 - 19*o + 13. Let t(y) = 6*n(y) + s(y). Determine t(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 124 - 247 + 2*w**2 + 476.\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 8 + -15 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by 1\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -1\/4*w**4 + 0*w**2 + 4*w + 4 - 2\/3*w**3. Let i(c) be the first derivative of f(c). Find the second derivative of i(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 2 + 4 + 0 - 4 - t**2. Let v be i(4). Suppose v*c - 10 = 28. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - m - 14 = m, 0 = -5*d - 3*m + 1. Let h be 30\/6 - 4\/d. Suppose -h = -l + 7. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -19*h**2 + 17*h + 22. Let p be f(-3). Let m = p - -210. What is the greatest common divisor of m and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975601027.\nAnswer: 41, 23795147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 27, 69, 147, 273, 459, 717?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -3 (c) -0.5 (d) -1\/3 (e) 62 (f) -59.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 2*a**2 + 10*a + 4. Let n be z(-4). Let l(k) be the third derivative of -k**6\/120 + k**5\/10 + 3*k**4\/8 - k**3\/6 - k**2. Does 19 divide l(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 180*j**2 + 6 + 17*j + 16*j**3 + 124*j**3 + 4 + 58*j = 0. What is j?\nAnswer: -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-172197)\/(-12) + 22\/88. What is j rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1315637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 - 882*u**3 - 903*u**2 + 5310*u = 0. What is u?\nAnswer: -3, 0, 2, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*b + 500, -5*x + 380 = 2*b - 95. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2581943601?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**3 + 4*l**2 - 10*l - 8. Let t(i) = i**3 + i**2 - i - 1. Let v(x) = h(x) - 6*t(x). Let j be ((-2)\/(-6))\/((-6)\/36). What is v(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 2\/15*t**6 + 0*t**4 + 0*t - 1\/210*t**7 + 0*t**5 - 9\/2*t**3 - 10*t**2 + 0. Find the first derivative of b(m) wrt m.\nAnswer: -4*m**3 + 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1247 and 3440?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 291 = -s, -704*s - 2*o = -703*s - 147 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 19, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = 3*m + w, 2*m - 3*m = 4*w - 134. Calculate the highest common factor of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 10000211001020?\nAnswer: -10000211001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x + 37. What is z(-4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*i = 8*a + 30, 5*a = 4*i - 12. Put -5, a, 71 in descending order.\nAnswer: 71, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50050?\nAnswer: 2, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, w: 5}. What is prob of sequence wzww?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -8, 2, -2 in decreasing order.\nAnswer: 2, -2, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 1. Let x be y\/6*(-2 - -4). Let l be 4\/(48\/(-14)) - x. Which is the biggest value? (a) 2\/11 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 4\/(-6)*3. Let t(b) = 2 + 2 + 0*b**2 - b**u - 5. Let r(x) = -x. What is -r(m) + t(m)?\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4250, 168, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {s: 5, n: 7, r: 1}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136245975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 33*m**2 + 223*m + 109. Give d(23).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + -2) - (-41 - -45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4930.\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58716*a**5 + 3*a**4 - 3*a**3 + 13318826*a**2.\nAnswer: 3522960*a**2 + 72*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 - 32329\/(-8). Let h be ((-16204)\/(-2))\/(-3 - (-2 - -1)). Let q = z + h. Find the common denominator of q and -44\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216 + -214. Let j(o) = 0*o**2 + 3*o**3 + 2*o**2 - o - o**r + 0*o**2 + 2. What is j(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o. Let g(a) = 5*a - 1. Let f(j) = 2*g(j) - 3*l(j). Let z be f(-3). Suppose 2 = z*q - 2. Solve d + 4 = n - q, -4*n = -3*d - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.990301476787 and -0.74.\nAnswer: -2.730301476787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69884 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220 + -128. Let n = i + -84. Solve 2*p + 18 = 3*s, p = 5*p + s + n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3506 times 7?\nAnswer: -2.4542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, -505, -1046, -1593?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354573 and 36693.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3875, -2, 8 in decreasing order.\nAnswer: 8, -2, -3875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6325.07 - 6354. Let b = -29 - v. Round b to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)*l)**(-36)\/(l\/(l\/(l\/(l**(-4)\/l))))**20)**(-41) assuming l is positive.\nAnswer: l**(47724\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q + 800. Let j(r) = -7*r - 267. Give -4*d(a) - 11*j(a).\nAnswer: a - 263","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 3.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/179, 5, -0.3, -0.09, -0.1811 in ascending order.\nAnswer: -0.3, -0.1811, -0.09, 2\/179, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*c = -2*c + 5, 0 = 5*n + 3*c - 35. Suppose n*s + 87 = -241. Let w = -56 - s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1423 - -10140140?\nAnswer: 10142113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*s - 630, -5 = -2*v - 3. Suppose -5*g - 37 + s = 0. Suppose 2*q - g = -c, 0*q = -2*q - 4*c + 36. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 80262.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Suppose 3*u - 29 = -3*i - u, -4*i + u + 7 = o. Suppose -2*m - i = -3*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose 0 = -j*g + g - 5526. Is 1\/((-3)\/(g\/3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**8\/336 + n**7\/210 + n**6\/120 - n**5\/60 + 14*n**2. Determine o, given that f(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 10:08 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -t - 11, 268*f + 5*t = 263*f - 35 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b**(-2\/17))**(-3\/4)*((b*b*b*b\/b**0*b*b)\/b)**(1\/50)*((b\/(b**1\/b))\/b)**(-1\/19) assuming b is positive.\nAnswer: b**(256\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -4*l, 0 = 5*l - 2*s + 3*s - 15. Let j be 309 - (-1 - l)\/3. Suppose 3*n - 3*g - 487 = -2*g, -2*n + j = 3*g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -555*c + 6992. What is v(6)?\nAnswer: 3662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114250241 + 123?\nAnswer: 114250404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001010 + -1001?\nAnswer: -11110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451449236 + 96*f**3 + 451449236.\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:16 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-8 - 171704\/(-21464)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z - 19. Let m be y(1). Put 0, m, 3, 5 in descending order.\nAnswer: 5, 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 - 1199874*m - 14398056 = 0.\nAnswer: -399946, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 78111067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1397546*d**4 - 3*d**3 + 4136255*d**2 + 1.\nAnswer: -33541104*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, x: 1, h: 1, k: 1, w: 1}. Give prob of sequence wxk.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*j - 5*n - 53, 5*n = -j - 51 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 4:21 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - (4 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-u - 2 + 2)*(u + 2*u + 0*u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 7, -4*n - 5*u = -37. Let i be 570\/(-147) - (n - -1)*-1. Is 1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*-1*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 3*r + 1. Let z be ((-33)\/(-44))\/(6\/16). Let i be t(z). Factor 0 + 1\/5*u**i - 1\/5*u + 0*u**2.\nAnswer: u*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 33471513.\nAnswer: -5\/33471513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2672 + -878. Calculate the lowest common multiple of 2093 and g.\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-2)\/36)*(51 + -49)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 + 11*c + 6. Let x be y(-7). Suppose 3*h = 2*o - 21, 3*o = 7*o - 3*h - x. Suppose 3*m = 12 + o. Solve 0*t = m*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2. Let y(o) = -8*o - 40. Calculate y(q(g)).\nAnswer: -56*g**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7736 and 1110123736?\nAnswer: 7736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/25677 + 949928\/3106917. What is the common denominator of -83\/88 and m?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w*w\/(w\/(w\/(w*w*w**3*w)))*w*(w\/(((w*w**(-1))\/w)\/w))**(-21\/5))\/((w**(-5\/3)\/w)\/w**(2\/15))**(2\/11) assuming w is positive.\nAnswer: w**(-232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8247 and 19630609?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -568578?\nAnswer: -1\/284289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 147 - 12. Suppose -k + j = -3*b + 7*b, -5*k = -25. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 23*k - 89 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/9 - 18626*f**2\/3 = 0.\nAnswer: -27939, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/j**11)*(j*j*j**(-28))\/j*(j*j**(-2\/93))\/(j\/j**(-2\/45)) assuming j is positive.\nAnswer: j**(-21017\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4921, -9841, -14761, -19681, -24601?\n\"Answer: -4920*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.932 - 0.532. Which is the nearest to 2? (a) r (b) -17 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/630 and -11\/10440.\nAnswer: 73080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184434 is divided by 1092143?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/((-3)\/(-78)*-13)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1612 and 83\/1888.\nAnswer: 760864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 76*i - 64. Let c be j(4). Let a = c + -180. What is the remainder when a is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529315527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96.1 + 97.1. What is the nearest to -2\/7 in -5, -0.2, -4, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 53565*c**2 + 232115*c + 35710. Let q(f) = 2*f**2 + 13*f + 2. Determine i(k) - 17855*q(k).\nAnswer: 17855*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19327342 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7321, -14650, -21983, -29320, -36661?\nAnswer: -44006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 2*g + 1. Let u be w(1). Suppose 0 = d + u*d - 18. Let t be (4\/(-3))\/(d - 4). Is t smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*c + 3380, 4*h - 2*c = -0*h - 4508. Let p = h - -5614\/5. What is the common denominator of p and -20 + (-3753)\/(-189) + (-538)\/56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, 17 in decreasing order.\nAnswer: 17, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 1072551.\nAnswer: -16\/357517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 6*s**2 - 9*s + 4. Let w be d(4). Suppose 4*y + 21 - 45 = w. What is the least common multiple of 5 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-342)\/684)\/((6\/(-4))\/(-1)). Which is the closest to 187? (a) x (b) 1\/5 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5037 (c) -5 (d) -87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2025 and 3775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945 is divided by 472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186088109 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 8*c**2 - c + 1. Determine u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33056.4131 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 88 = -61*c + 131*c + 432 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12878474 and 1274?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 + -3.92. Let b = a - -3.8. Let v = 3.2 + b. What is the third smallest value in -0.1, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 + 361527*o**2\/5 + 16333359*o + 4613452469\/5.\nAnswer: (o + 113)**2*(o + 361301)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/66*-12*(-2)\/(-32). Suppose -7*s + 6 = -5*s. Suppose -s = o - 1. Which is the nearest to 4? (a) h (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*(-13)\/(65\/90)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -333, -1909, -4683, -8655, -13825, -20193?\n\"Answer: -599*d**2 + 221*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let h(s) = -s. Let p(q) = -2*h(q) - y(q). Let l(x) = x**2 - 17*x**2 + 6*x**2. Calculate l(p(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 - 133 = 2*v. Let y = -56 - -59. Which is the third biggest value? (a) y (b) -15 (c) v (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -11. Which is the second smallest value? (a) q (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00259 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 4405783*b + 19410923843089\/2.\nAnswer: (b + 4405783)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1887, 7704, 17407, 31002, 48495?\n\"Answer: z**3 + 1937*z**2 - z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m. Suppose 5*r - 4*y - 20 = 0, -5*r + 4 = y - 16. Let o(q) = -r - 4 - 1 + 7 + 1 + 2*q. Give o(d(j)).\nAnswer: 14*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2165 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/20 + 5*o**4\/24 + 5*o**3\/6 + o**2. Let d = -8 - -7. Let t = 6 - 1. Let m(s) = -s**2 + s + 1. Determine d*b(l) + t*m(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374065587 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 613231*p**3 - 175544*p**2?\nAnswer: 3679386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87\/4 + 1107\/52. Let b be (1 + -4)*(-4)\/(-12). Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/7 at least 9.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 13*l + 10. Let s be a(14). Suppose 0 = 4*x - 4*v, 5*x + 45 = -2*v - 2*v. Which is bigger: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2408765.96 rounded to the nearest 10000?\nAnswer: -2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 e when four letters picked without replacement from {l: 7, j: 3, p: 1, e: 2, n: 4}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -30. Suppose 1\/5*l**d + 0 - 3\/5*l**4 + 3\/5*l**2 - 1\/5*l = 0. What is l?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/70 - 3*p**5\/20 - p**4\/4 + 22*p**2. Suppose j(l) = 0. Calculate l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 1. Let m(j) = 3*j**2 + 4*j + 4. Let v(f) = 2*d(f) + m(f). Let i be v(-4). What is the greatest common divisor of 18 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/(-3*sqrt(144)) + (sqrt(9072) + sqrt(9072) + (3*sqrt(9072))**2 + -3 - sqrt(9072)) + 5.\nAnswer: 215*sqrt(7)\/6 + 81650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(176) + -2.\nAnswer: -8*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14735 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/30098964 and -116\/188118525.\nAnswer: 752474100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73622 or -73621?\nAnswer: -73621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Let i = -7\/8 + 37\/24. What is the nearest to i in g, -0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4320, 4317, 4314, 4311, 4308, 4305?\n\"Answer: -3*n + 4323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3148*y - 192051. Calculate a(61).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -80. Suppose 2*v = -6*v - 88. Let h = v + q. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q + 88. Let r(w) be the third derivative of -w**4\/6 - 32*w**2 + 11*w. What is r(f(l))?\nAnswer: 12*l - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 400412855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 121. Let z be w(0). Let g = 1332\/11 - z. Is g smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 + (-14)\/56. Let o be 1 - t - 105\/(-3). Let s = o - 16. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/272 and -31\/2.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.009 or 18?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 6*s - 32*s + 1861 + 2689 = 0 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = m, n - 3*n + 23 = 3*m. Suppose -216 - 309 = -m*i. Calculate the remainder when i is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -343?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0*a**4 - 4\/45*a**5 + 0*a - 2 + 9*a**2 + 0*a**3 - 1\/315*a**7 + 1\/30*a**6. Suppose d(v) = 0. Calculate v.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:04 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1275\/(-3825)*182\/(-4)*(-12)\/224?\nAnswer: -13\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose 9*z - 5 = f*z. Let a = z - -2. Do a and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 192. What is a(56)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 897 divided by -69.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 at most 2741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a**3 - 20*a**2 - 744*a + 756 = 0 for a.\nAnswer: -9, 1, 21\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.012 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(18\/5)*i**31)\/((i*i**15\/i)\/(i**15\/i)) assuming i is positive.\nAnswer: i**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7889\/1793 + -80\/163. Calculate the common denominator of 0 - ((-118)\/(-14) - 3) and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 75. Let p = 65 - w. Let s be p\/15*(-50)\/4. What is the second smallest value in 2, 5, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/((-4935)\/870))\/(((-18)\/21)\/3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2076*g + 16 = -2084*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 23 - 15 - 3*x + x**2 + 2*x. Suppose -5*v + 4*w + 31 = 0, -2*w + 36 = 5*v - w. What is the remainder when i(v) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**5 + 3*v**4 + 3*v**3 + v**2 - 805. Find p, given that y(p) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 - 14*l**2 - 33*l - 8. Give v(2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*n**3 - 5*n**2 - 1558*n wrt n.\nAnswer: -204*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4419\/4 + 1092. Suppose 4*w + 469 + 153 = -2*v, -3*w - 4*v = 469. Find the common denominator of g and (6\/15)\/(36\/w).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -0.267, -0.03, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**7\/1260 + x**5\/40 + x**4\/12 + 4*x**2. Let c(b) be the second derivative of m(b). Differentiate c(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2091 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 5:21 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411, -455, -4.\nAnswer: -455, -4, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*h - 13, 7*h = 5*r + 3*h + 26. Let v be r\/(-9)*-39 - -4. Put v, 3, -2\/15, 5 in increasing order.\nAnswer: v, -2\/15, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(6\/24*(3 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 20213*d - 282554. Calculate r(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilogram in grams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 1, 449, 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4125043 (base 6) to base 7\nAnswer: 1453356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36367, -72730, -109091, -145450?\n\"Answer: a**2 - 36366*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/28696 and -63\/14348.\nAnswer: 28696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/6)\/y*y**(-2\/5)*y**0*y*y*y**(-8))\/(y**(2\/19)*y*y**(1\/5)*y*y**1\/(y**(1\/2)\/y)) assuming y is positive.\nAnswer: y**(-2861\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -c5638?\nAnswer: c5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 + (2535744\/(-512))\/(-141)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -417 + 289 - m + 150. Let f(g) = 6*g - 2*g - 5*g. Determine f(p(b)).\nAnswer: b - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t. Let m(c) = c. Let u = -1570 + 1636. Give u*m(v) + 6*q(v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -721268.1*0.3\nAnswer: -216380.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*a**3 - 765567*a + 346561036 wrt a.\nAnswer: 42*a**2 - 765567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5543956, -5543959, -5543962, -5543965?\nAnswer: -5543968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/347531 and -57\/43073401.\nAnswer: 732247817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50491, 101091, 151765, 202513, 253335, 304231?\nAnswer: 355201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:39 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1871342, 1871309, 1871276?\nAnswer: 1871243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 293*c = 593*c + 50*c + 16416 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-156)\/(-52).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644234 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113609 = 374*j + 85933 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -377.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4100233 - 1240*y**2 - 1951*y**2 + 4100233 + 1992*y wrt y.\nAnswer: -6382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665422254 to the power of 1\/2, to the nearest integer?\nAnswer: 60543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {r: 1, j: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 - 36. Suppose -r + 466 = 5*w. Suppose -w - 32 = -6*b. What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 - 4 - 15*m**2 + 12 + 10*m**2 + m. What are the prime factors of x(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/80408 and -33\/64.\nAnswer: 643264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49581, 49789, 49997, 50205, 50413?\nAnswer: 50621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.09 (b) 1 (c) 4 (d) 0.39 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3098, 5952, 8812, 11678?\n\"Answer: 3*t**2 + 2845*t + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rppr when four letters picked without replacement from ppprrrprrrppp.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:41 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 43\/2 of a millennium?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2491 is divided by 2446.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -462, -466, -470, -474, -478, -482?\n\"Answer: -4*u - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttrttttrrtttt. Give prob of picking 3 t.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 7 + -1 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11666 + -11606. Solve 0 = 28*k + 32*k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3504.2 + -3504. Let j(c) be the third derivative of -c**6\/24 + c**5\/60 - c**3\/6 - c**2. Let z be j(1). What is the nearest to -1 in 0.5, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**2 - 9844268*q + 9844264 = 0.\nAnswer: 1, 2461066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249\/8 + -280\/9. Let s(d) be the third derivative of -h*d**4 + 1\/180*d**5 - 1\/18*d**3 + 3*d**2 + 1\/360*d**6 + 0*d + 0. Factor s(w).\nAnswer: (w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j - 51*j - 5 = -o, 4*j = 0. Suppose -y + 257 = 2*m, 2*y - o*y - 2*m + 787 = 0. List the prime factors of y.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**25\/a)\/a)\/(a**(-18)*a))\/(a**(-18)\/((a*a**11*a)\/a)) assuming a is positive.\nAnswer: a**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/93382 and 119\/10.\nAnswer: 466910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343117 is divided by 170832?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12791*a**3 - 9*a**2 + 677812*a?\nAnswer: 76746*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -6)\/(4\/(-38) + (-4059)\/(-1558)). Sort -4, f, 1, 1024 in ascending order.\nAnswer: -4, 1, f, 1024","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.35 + -2.5. Let j = 4258\/15 - 284. What is the closest to 0.2 in -5, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16*3\/(3\/1). Suppose t - 9*t = -g. Suppose -3*l - 2*h = -2*l - 2, -2*h = -l + t. Solve -7 = -f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Suppose 5 = -o*r + 4*t, -4*r - 4*t + 35 = -r. Let j = 15 - r. Calculate the remainder when 28 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540 is divided by 311?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2373722 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 264*b - 3613. What is k(12)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1))\/(9\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 13*f**2 + 15*f + 48. Determine n(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((28\/16)\/(-7)). Sort 0.5, v, 1 in decreasing order.\nAnswer: v, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -503*c - 1. Let z(i) = 12*i**2. Give z(v(b)).\nAnswer: 3036108*b**2 + 12072*b + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 2*d**2 - 2*d**3)*(30*d + 180 - 180) + (-7*d**2 + 0*d**2 + d**2)*(7*d**2 + 5*d**2 - 6*d**2) + (-2*d + 0*d + d)*(3*d**2 - 3*d**2 + d**3).\nAnswer: -97*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 48. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3938 + 0.1012. What is t rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (7 - 11) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/65)\/((-268)\/1742)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, 1 a, and 1 q when four letters picked without replacement from cafcwqf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -6 + 6 + (17 - (5 - 12)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w\/w**(7\/2)*(w*w*w*w**4)\/(w*w\/(w*w*w**(-3\/5))*w))**12 assuming w is positive.\nAnswer: w**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7958411.\nAnswer: 643, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 1. Let n(u) = -u + 29. Let t be n(25). Suppose -27 = v - 4*q + 9*q, -t*v - 4*q - 28 = 0. What is y(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/11, 11\/7, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -2 (c) 1859\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24*-19 - -9)*1. Let t = 447 + m. Suppose 0 = r - 5*u - 0 - 4, -2*r + 8 = 3*u. Solve 0 = -t*y - 4*y - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*t - 16 = 0. Let m(p) = 1 + 2*p + 4*p**2 - 5*p**2 + 0*p. Give m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4586155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 22*h + 29. Give s(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -542 (base 6) to base 13\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 225\/105 + (-2)\/(-28)*-2. Suppose -318 = h*g - 4*g + 4*q, 0 = -4*g - 5*q + 649. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -20*x**2 - 36*x + 6721. What is g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 42. Let t be u(10). Suppose 0*g + g + t*s = 18, 4*g - 2*s - 22 = 0. Suppose 2*z - 52 = -g. Calculate the highest common factor of z and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (9\/6)\/((-134)\/(-14740)) and 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 36. Let u be (-6)\/(-24) + ((-93)\/l - -2). Let i = 13 + u. Calculate the common denominator of i and 109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109183 is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 62 = -35 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142239787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let g(f) = -5*f**2 + 7*f + 8. Let x(c) = g(c) + 3*o(c). Let p be x(4). Find the first derivative of 8 + 2 - 7*t**4 - 20*t**p + 8*t**4 wrt t.\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {a: 1, h: 2, e: 1, i: 4, u: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide -3 + 2 + 431 + -1 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 28617.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h**2 + 6. Let w be t(-2). Let g = 58 + w. Solve 3*j + g = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190142 is divided by 189929.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/30 - 159\/(-6)*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27290*m**2*v**2 - 27*m**2 - 3159*m*v + 1019*v**2 - 73 wrt v.\nAnswer: -54580*m**2 + 2038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let j be c\/(-2)*12\/(-9). Suppose -4*s - 2*l + 14 = 0, l = 4*s - j - 3. Solve y - s*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -127. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462, -1825, -4088, -7245, -11290?\nAnswer: -16217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v + 218 + 15*v + 22*v - 62*v - 4*v as n*v + m and give m.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2 + 15*z + 19. Let s(l) = -3*l**2 + 8*l + 9. Let p(n) = 2*q(n) - 5*s(n). Determine p(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 2*y - 1. Let z be l(0). What is the common denominator of 574\/(-112) + (0 - z) and 34\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlwkhtttwhh. Give prob of sequence hwkl.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 107385 - -140394\nAnswer: 247779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 + z + 3. Let y be d(6). Let m = 1001 + y. Let v = -3092 - m. Round v to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/((-42)\/(-12) + -5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + 25*g**2 + 18*g**2)*(-1 + 2 + 0) + 7 + 2*g**2 - 7 - 1 + 1 + 2*g**2.\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14133 - 14133 + 14*n**3.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/7)\/t**(-1\/2))**40)**(-42\/11) assuming t is positive.\nAnswer: t**(-1080\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 + -124. Solve z*y = 12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - k + 5*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -34*r**2. Let x(k) be the second derivative of -k**3\/2 + 4*k - 20. Calculate x(z(u)).\nAnswer: 102*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-3 - (-5 + 1)). Let i be 1\/(2\/(-8)) - y. Let z be (-8)\/12*(-30)\/i. Solve r - 4 = -z, 5 = -3*v - 5*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2858 divide 1666697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/592 and 21\/44.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1\/7 (c) -77 (d) 0.2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v**3 - 6*v**3 + 114*v - 16*v - 45*v - 33*v - 20*v.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -626 + 1341. Suppose -h = -10*w + 5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 + 66*b**4 + 172*b**3 - 264*b**2 - 720*b = 0. Calculate b.\nAnswer: -30, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35900811 is divided by 1795040.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-6)*6\/4. Put k, 3, 2, -5 in descending order.\nAnswer: k, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/30)\/(10\/(-25)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, u: 1, h: 2}. Give prob of sequence qh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11850, 22921, 33992, 45063, 56134, 67205?\nAnswer: 78276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 6*m - 8. Calculate the remainder when j(-6) is divided by 38\/133 - ((-165)\/(-21)*-2 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 18131385256653.\nAnswer: -18131385256653.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19*2*3\/(-6). Suppose -4*r + p = -1. Suppose 5*t = 2*z + 60, t - 3*z + 4*z = r. Solve 2*o - t - 3 = 3*k, -2*k - 4*o = 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 490 - 2453\/3*h + 5\/3*h**2.\nAnswer: (h - 490)*(5*h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 - -0.6. Let f = 49594.09 + -49594. Sort 0, f, v in descending order.\nAnswer: f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935 less than or equal to 3938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10001100100110?\nAnswer: 10001100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/((-12)\/16). Let y be 1\/(-1 - j) - 351. What is the common denominator of (y\/60)\/(6\/(-8)) and 143\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0 + 46\/7*f - 2\/7*f**2 = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -969759.\nAnswer: -5\/969759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 9*f**2 + 8*f - 1. Let s be x(8). Which is the closest to 0? (a) s (b) -0.1 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7561252.4 rounded to the nearest 10000?\nAnswer: -7560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100200 divided by 2?\nAnswer: -50100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a**(3\/10))\/(a**(-4\/9)*a**2\/a) assuming a is positive.\nAnswer: a**(157\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 33 = 4*j, -2*m + 2*j + 1692 - 1672 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/116 in 5, 16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*h + 1097*h + 375 = 0 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3 and ((-456)\/(-315) - 2) + (-4)\/10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 7 = 29 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224488.\nAnswer: 2, 269, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10277851 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6398, -6417, -6472, -6581, -6762, -7033, -7412?\n\"Answer: -3*n**3 + 2*n - 6397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 1\/3*p**3 - 1\/10*p**5 + 1\/3*p**4 - 2*p**2 + 0 + 4*p. Factor t(x).\nAnswer: -2*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 305562 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 10064?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-12)\/f**(1\/8))\/(f*f\/f**(-3)*f)**(-38))**7 assuming f is positive.\nAnswer: f**(12089\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l**2 - 5*l + 6. Let r(p) = -24*p**2 - 12*p + 10. Calculate -9*n(s) + 4*r(s).\nAnswer: 3*s**2 - 3*s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2689 in -3, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 38. Let v be q(5). Let f = v - -17. Solve 2*n + 2*n + f = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 29bad?\nAnswer: 29bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5255 divided by -1\nAnswer: -5255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*g + 288 = -1071 - 36 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 24320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -9 (c) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) 5\/6 (c) 36 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24815 is divided by 564?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(13) + sqrt(13) + sqrt(13)*2 - (0 + sqrt(13)*2).\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/8 - -5) + 2)*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or -800?\nAnswer: -800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1929, 3858, 5787, 7716, 9645?\n\"Answer: 1929*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -45*c**4 + 30*c - 374. What is the derivative of s(k) wrt k?\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2190308 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a factor of 547008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 12, r: 4, e: 1}. What is prob of picking 2 d and 2 r?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 7*o**6\/270 + o**5\/45 + 79*o**3\/3 + 43. Let n(t) be the third derivative of c(t). Factor n(g).\nAnswer: 4*g*(7*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 15. Let l be d(16). Put 1, -54, l in descending order.\nAnswer: 1, l, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21891538 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10113, -20230, -30349, -40470, -50593?\nAnswer: -60718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-126)\/18*297\/231?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83026\/3 - 27675. Let z be (-1)\/(-4) - (-6)\/40. Which is the nearest to z? (a) -1 (b) s (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 - 60\/(-9). Suppose 10 = 4*n + n, 5*w - 4*n = o. Let l be -2*((-7)\/(-14))\/(-2*(-3)\/(-6)). Put 4, w, l in decreasing order.\nAnswer: 4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 41 = 36 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - f + f + (0*f**2 + 0*f**2 + 2*f**4)*(5*f + 0*f - 4*f) - 3*f**5 + 3*f**5 + f**5 - 3526*f**5 + 5058*f**5 + 5625*f**5.\nAnswer: 7162*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + h**2 - 2*h**2)*(-h**2 - 3 + 3).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1089\/(-594))\/((-4)\/24). Solve -28*q = -a*q - 34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + 4. Let r(t) = -t**3 + 1. Suppose 3*o - 14 = -2. Suppose o*v = 6 - 2. Determine v*n(w) - 5*r(w).\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 7:34 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + d = -6, -d - 2 = 0. Suppose 3*y - 4*z = -410, 10*y - 5*y = 4*z - 670. Let h = y + 139. Calculate the remainder when h is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196308 divided by -2583\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 243 - -751942057\nAnswer: 751942300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -84*g**3 - 6*g**2 + 7*g - 6. Let x(m) = 28*m**3 + 2*m**2 - 2*m + 2. Give -2*p(l) - 7*x(l).\nAnswer: -28*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.000053 - 6. Round s to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:59 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 h when four letters picked without replacement from {s: 3, a: 1, h: 1, p: 5, b: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903359202?\nAnswer: 2, 3, 150559867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 904 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 74*g - 22*g**2 + 22*g**2.\nAnswer: -5*g**2 - 74*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n - 3. Let z(s) = -s**3 + 4*s + 4. Let m be ((-6)\/(-5))\/(6\/(-20)). Let g(b) = m*z(b) - 5*c(b). What are the prime factors of g(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 49*q - 47. Let n(j) = j**2 - j - 4. What is the remainder when n(3) is divided by b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5363740 by 3.\nAnswer: 5363740\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 127221555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/580 and -13\/5914992?\nAnswer: 857673840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.8 - 19.8. What is the fourth biggest value in j, 1, -2\/7, 17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r + 181 = -533 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381021 is divided by 169?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154644 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxga when four letters picked without replacement from {x: 1, v: 5, m: 1, g: 3, c: 3, a: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:34 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/3, 0.5, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 221 + -220 - (2 - -10) - (-30 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185 + -221. Let d(u) = 4*u**2 + 48*u - 79. Is d(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 - (14 + -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 11*k + 450 = 25*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 137190, 137143, 137058, 136917, 136702?\n\"Answer: -3*i**3 - i**2 - 23*i + 137217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3190 divide 23382132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1714 - 1695. Let j = 97 + -79. What is the remainder when k is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 35a8?\nAnswer: 35a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjh when three letters picked without replacement from joofofhbbf.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*m - 0*m + 125, 5*r + 5*m + 125 = 0. Let i = r + 36. Let p(j) = j - 9. Let v be p(i). Solve 2*x + v*z + 5 = 3, 10 = -2*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -304040225?\nAnswer: -304040204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -12. Let v = -1.15476 - -0.65476. What is the smallest value in v, 2, c, 7.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528068?\nAnswer: 2, 97, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9573 - 22283 - 9599 = -2124*y + 24419 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.469388 litres in millilitres?\nAnswer: 2469.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 220645*d**3*t - d**2*t**2 - 2*d + 33224932*t**2 wrt d?\nAnswer: 661935*d**2*t - 2*d*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g**2 + 1012*g + 169. Calculate the remainder when 11633 is divided by f(78).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 375767\/773628 - 92\/2803. Find the common denominator of g and -93\/44.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 11*r + 0*r**3 + 0*r**4 - 3\/20*r**5 + 61*r**2 + 7\/30*r**6 - 6. Find the first derivative of j(t) wrt t.\nAnswer: 28*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Suppose 5*b = -7 - t, -5*c + 3*b + 26 = 0. Is 86\/c - 2\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-796)\/40 + 2700\/135\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 75.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(2205)*-2*5)\/(sqrt(225) - (sqrt(225)*4 - sqrt(225)) - (1*sqrt(729) - sqrt(729))))**2.\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 32*c = -75 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*u - 14*u + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.1103454 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1967 - 3919 + 5*z**2 + 1952 - 480*z to the form a*z + w + k*z**2 and give a.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*q**3 - 3655*g**3 - 6624*g**2*q**5 + 19*g**2*q wrt q?\nAnswer: -12*g**3*q - 132480*g**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -376 - -384. Suppose 16*r - c*r = 8. Let l(x) = 30*x**3 - x**2 + 1. Give l(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796 + 576 = 7*i. Suppose 0 = 5*j, 3*j = 3*h + 4*j. Suppose h = 3*v - v - i. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180548 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2455 is divided by 815.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + 3*l**2 - 4*l + 16 - 14 - 3*l**4 in the form r*l**2 + a*l + y*l**3 + c*l**4 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974*g = 187*g - 94041 for g.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*u - 75 = -3*w, -4*w = -5*u - 43. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*v - 1. Let t(h) = h**2 - 8*h - 19. Let k be t(12). Let f = k + v. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 * -0.3\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 204, 121?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 405798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-8 - (-4 - 3) - -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/319 or 2\/169?\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 6 + 2, 10 = 3*u - 5*o. Suppose 2*i = u, 0*z + 6000000 = -3*z + 2*i. Round z to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 2. Let n(j) = 9*j**3 + 5*j**2 + 5*j + 7. Let u(l) = -l**3 - l**2 - l - 1. Let h(b) = g*u(b) - n(b). What is the first derivative of h(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at least -121\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/12 + 7*z**3\/6 - 6*z**2 - 12*z. Let a be m(-8). Does 5 divide a\/6 + 376\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2568.\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 - 3653\/18. Let z be (-5)\/(-8)*(-573)\/(-21). Let r = z + -143\/7. What is the common denominator of o and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*c - 50 = 6, -5*c + 35 = 5*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/7)\/294*132\/11?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -7. Let o = 31 + -33. Let s be 1\/4 + (-2)\/(-24). Put z, o, s in ascending order.\nAnswer: o, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-1)*(-1)\/(-1). Let h = -3 - -5. Let p be ((-15)\/h)\/((-2)\/k). Solve -p = 6*b - b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263284056 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 896 = -13*l. Suppose -2*z = 3*f - l, -2*f - 3*z + 172 = 26. Let h be (-5 - f\/(-16))\/((-2)\/40). Solve -11 = 2*j - h*q, -q + 2 - 10 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/335 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-2\/37)*(m\/(m**(-2\/5)\/m))\/m**(-5) assuming m is positive.\nAnswer: m**(1359\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 84456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - sqrt(15)\/sqrt(3))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 8. Suppose k*r = 229 - 9. Calculate the smallest common multiple of 4\/(-10) - (-572)\/r and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20434800 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1303990, 1304029, 1304068, 1304107?\n\"Answer: 39*m + 1303951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 76400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09223 rounded to three dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 51.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let u = -6 - -6. Let i(z) = u*z + 2*z + 0*z - z. Let w(s) = -h(s) + 4*i(s). Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2317210?\nAnswer: 2, 5, 7, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1150 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26014?\nAnswer: 2, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 290740 or 290454?\nAnswer: 290740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 10*r + 4)*(-325117 + 325117 - 975*r).\nAnswer: 9750*r**2 + 1950*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 3 - p + 13 + 11. Let c be z(12). Find the second derivative of -t**2 + c*t**2 - 5*t**2 + 11*t**2 + 4*t wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67091, 134218, 201361, 268520, 335695, 402886, 470093?\n\"Answer: 8*r**2 + 67103*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**4 - 161685984*v**3\/5 - 32337196*v**2\/5 = 0.\nAnswer: -8084299, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.77789l in millilitres?\nAnswer: 43777.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*j + 82*j + 91*j + 83*j + 90*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 - 2 = -y, -12 = -4*y. Suppose 4*a = a + 6. Suppose a*z - 200000 = -g*z. What is z rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 4*m - 2. Let d be 6\/(1 + -3) - -2. Let y(b) = -b - 1. Let v(t) = d*f(t) + 5*y(t). Suppose 0 = 4*w - 2*r + 12, 62 - 54 = -5*w + 2*r. Give v(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -521?\nAnswer: -3\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95.6 + 17.6. Let i = a + 80.74. What is i rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349196719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 457 or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/(-42)*(0 - (-4)\/(-3)). Let i(s) be the first derivative of 0*s**3 - 12 + 1\/4*s**4 - 1\/2*s**w + 0*s. Factor i(t).\nAnswer: t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, 0.004, -2, -3\/7, 3, 5\/6 in increasing order.\nAnswer: -2, -3\/7, 0.004, 0.35, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 + (13 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1197273119 and 322.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x + 3*r = 2307, 5*x + 3*r - 3 = r + 13 + 127 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*z + 8, 0 = 27*f - 24*f - 2*z + 32 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-43.8249\nAnswer: -44.2249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*j = 137390, j + 38 - 37 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.71 times 4490?\nAnswer: 833837.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14352)\/468*72\/(-96).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*w + m, -m = -4*w + 1045 - 1070 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:14 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.5174. Let f = -0.1516 + m. What is f rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*b + 457*b + 429*b + 394*b - 1.\nAnswer: 86*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 10:56 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-146.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1683*k - 1085*k - 31*k - 170739 = 0 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**4\/24 + 23*r**3\/2 - 35*r**2. Does 13 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7503?\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 8:33 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -0.032, 4, 12 in decreasing order.\nAnswer: 12, 4, 2\/15, -0.032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -8*s + 7*s + 2, 3*s + 5*i - 8 = 0. Suppose o = s*o + o. Solve -j - 2*j - 6 = o, -a + 6 = -4*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 6032*t + 6036.\nAnswer: -4*(t - 1)*(t + 1509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224\/22375 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-2)\/3)*(-8184)\/(-124). Sort c, -1, 0 in decreasing order.\nAnswer: 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (37 + -105)) + (-8 - -1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485087914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/23936?\nAnswer: -7\/23936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114*c + 6*c - 89*c)*(c - 5*c + 6*c)*(6 - 4 + 0) + 2*c**2 - 7*c**2 + 2*c**2 to x + j*c + b*c**2 and give b.\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80*a*g**2 - 14*a*g*w**3 - 4*a*t + 12*g**2*t*w**2 - 8*g*t + 381*w**3 wrt a?\nAnswer: -80*g**2 - 14*g*w**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lldlldhlhdldd. What is prob of picking 1 h and 1 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/2 + 1209*k**4\/2 + 18519*k**3 + 81685*k**2 + 220467*k\/2 + 92925\/2 = 0.\nAnswer: -25, -3, -1, 1239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-110)\/(-44))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5345927 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s + 3. Let p(y) = 42*y + 11. Let a(c) = -22*m(c) + 6*p(c). Let n(d) = -d**2. What is a(n(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*m + 67*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -1131.8\nAnswer: -113.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l**2 + l + 1. Let v(b) = -10*b**3 + 18*b**2 - 28*b + 4. Let a(k) = 4*c(k) + v(k). Let a(d) = 0. Calculate d.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r**(5\/2))\/((((r\/(r\/(r**(-1\/7)*r)))\/r*r)\/r)\/(r**(-7\/3)\/r)))**45 assuming r is positive.\nAnswer: r**(-1695\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225.9535 - -226. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*g**2\/9 + 568*g\/9 + 104\/9.\nAnswer: -2*(g - 26)*(11*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 19. Suppose -220 = -4*w + 36. Let c = w + -64. Does 2 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -52*o - 1. Let t be i(-1). Calculate the highest common factor of t and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 24*o**2 + 48*o - 77. Determine v(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 687424460*v**3 + 532022177 with respect to v.\nAnswer: 2062273380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 1, x: 2, p: 6, i: 1}. Give prob of sequence xxgp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80051 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1900) + -1 + sqrt(1900) + 2 + 1 + 4*(sqrt(1900) + -1)**2.\nAnswer: -60*sqrt(19) + 7608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4983847\/38220 + -8484\/65. Calculate the common denominator of 4\/1323 and m.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54257315 is divided by 1951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3*t**2 - a**3 + 35*a**2 + 30*t**2 + 1 wrt a?\nAnswer: -6*a**2*t**2 - 3*a**2 + 70*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 25*s**2 - 32*s - 70. Let v be x(-26). Is v less than or equal to 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29196 = 11*o - 29*o. What are the prime factors of o?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -191\nAnswer: -19.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*y - 145 = 0, -5*y = -2*s + 7*s - 135. Suppose 2*z + s = 4*z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-34) + (1375\/30)\/(-25).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -p - 314, -4*l = -4*p - 432. Calculate the remainder when l is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - h**2 + 3*h**2)*(3 - 4 + 2)*(-50 - 5 + 21).\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 477 + -462. Differentiate 194 - q - 208*j + 13 + 75 + 16 wrt j.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-1 + 1 + 2*m)*(0 + 0 - 2*m) + m**2 + 2*m**2 - m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 4*k + 10. Let r(m) be the second derivative of -m**2\/2 + 104*m. Let c(a) = -2*r(a) - v(a). What is c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 3*k + 82. Give w(-16).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-6))\/(-2 - -1). Is 4 a factor of 5 - g - (-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -10 - (-10 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 341.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 3) to base 15.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1037 divide 1157911089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1184)\/(-72) - 8 - ((-208)\/(-156))\/(1\/6)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 19. Let c(a) = 50*a + 2. Determine c(o(j)).\nAnswer: 100*j**2 + 952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-16)\/(-12))*4)\/((-99)\/(-132))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4739 or 42650\/9?\nAnswer: 42650\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295730987 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -13?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 6*r**2 + 2*r + 4. Suppose 0 = 3*l - 4*b + 5*b + 5, 5*l = 2*b - 23. Let k be g(l). Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*r - 3*w, w = -2*r - r - 9. Let d be 0\/(-4) + -1 + -3. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -7\/24*p**4 - 4*p**2 + 0*p + 1\/2*p**3 + 0. Differentiate c(a) wrt a.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**3 - 6*d - 17. Let z(o) = o**3 - o - 3. Let f(w) = 6*l(w) - 34*z(w). What are the prime factors of f(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471.9 rounded to the nearest 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428901*u**2 + 2*u**3 - 428901*u**2 + u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 81.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (3\/(-3) - (-5)\/11). Do 0 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-16)\/32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 4779066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuu. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 874142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/(-14)) + 0. Let n(c) be the third derivative of -c**4\/24 + 3*c**3\/2 + 6*c**2. What is the units digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {g: 3, q: 1, p: 3, v: 4, a: 1, d: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1456, 1450, 1440, 1426, 1408, 1386?\nAnswer: 1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 4. Let b(m) = -5*m - 7. Suppose 84*y = 87*y - n + 8, -14 = 5*y - n. Calculate y*b(w) + 7*q(w).\nAnswer: w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4086 - 4086.0000434. What is h rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 12*c + 4. Let o be x(-13). Let k be 7\/21 - 33\/o. Solve -t - k = -0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 147238*f + f**3 - 5*f**2 + 147238*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(-5*(sqrt(77)*4)\/sqrt(11))**2 + 2 + (sqrt(7)*-2*-6 + sqrt(7))**2 + 6*sqrt(7)*-2).\nAnswer: -48*sqrt(7) + 60740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 1274276?\nAnswer: 1274275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0672865 at most 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6982 is divided by 1910?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78, 96, 104, 84, 18, -112, -324, -636?\n\"Answer: -3*t**3 + 13*t**2 + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(3\/(-2) + 21\/20). Let l = -7 + z. What is the third biggest value in l, -4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 12, -2*p + 1 = -o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-5) + 1)*(-480)\/(-24). Solve 3*r = l - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 45*l + 462. Give i(-13).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78123149 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.829 - 0.171. Sort t, -2\/7, 32, 0.1 in ascending order.\nAnswer: t, -2\/7, 0.1, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13) + 0 + -1*sqrt(1053).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 118*y**3 + 3*y**2 - 4*y - 4. Let z(s) = 236*s**3 + 7*s**2 - 9*s - 9. Give -7*o(a) + 3*z(a).\nAnswer: -118*a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, v: 8}. What is prob of picking 1 v and 2 u?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/2)*m)**26*m**(-13\/4)*m*m\/(m**(-2\/33)*m) assuming m is positive.\nAnswer: m**(-5437\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.1 + -29. Let m = a - 2.1. Let c be (18\/(-5))\/(-2) + -2. What is the nearest to m in 0.4, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14335, -30442, -50121, -75160, -107347, -148470, -200317, -264676?\nAnswer: -343335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3207981160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6)*l**(1\/5)*l)\/(((l*(((l\/l**(-7\/4))\/l)\/l)\/l)\/l)\/((l\/l**(-1\/4))\/l)) assuming l is positive.\nAnswer: l**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305045321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**2 + 17*p - 10. Let z(k) = 4*k**2 - 5*k + 4. Determine -2*h(q) - 7*z(q).\nAnswer: -4*q**2 + q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2306660 to the nearest ten thousand.\nAnswer: 2310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o + 6. Let s(f) = -4*f + 3. Let h(n) = -n**3 + 3*n**2 + 11*n + 8. Let r be h(5). Determine r*s(m) - 6*l(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 3. Let l be v(4). Let y = l + 16. Suppose -2*n + y*n = 3*f + 6, 2*n = -5*f + 25. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*-4*72\/(-36). Sort 2, 3, t, -1, 4 in ascending order.\nAnswer: t, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 7. Let c be u(10). Suppose c*b = b + 4. Suppose -b = -5*x + 3*x. Solve -2*m + 5 = -x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/394 and 31\/652.\nAnswer: 128444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19)\/t*t**(4\/3))**(-31) assuming t is positive.\nAnswer: t**(-775\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000098874 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 4*c**2)*(-5 + 1 - 4)*(-74*c**2 + 129 - 10*c - 127 + 12*c).\nAnswer: 1184*c**4 - 32*c**3 - 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26205 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 r, and 1 y when four letters picked without replacement from yyrrlrqlrmrrrb.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419427.3l to millilitres.\nAnswer: 419427300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5 - 3 + 2*n - 5 + 4. Let v(a) = -2*a - 2. Give 4*f(z) + 3*v(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) 2\/27 (c) 1 (d) 3 (e) -3\/8 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 2 = -z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135725.\nAnswer: 5, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462535465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -876 or -875?\nAnswer: -875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963144 = 5478*f - 17826*f for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 473, 0.03, 162, -5, 1\/9, 4\/5?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 7*m - 6. Let p be l(5). Let z = 214.607 - 213.607. Which is the second biggest value? (a) p (b) z (c) 7\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 14*b**2 - 15*b + 7. Let t be x(-15). Suppose 0 = t*n - 4412 - 4205. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*h - 3*a, -10*a + 2 = -4*h - 0*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*32\/4464*315\/28?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21f + -f?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 548 and -0.5?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1740\/232 - (2 + 6))*-12. Calculate the greatest common factor of s and 4902.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/21)\/(496\/(-9548))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3012*s**3*u - 3376*s**3 wrt u.\nAnswer: 3012*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 - 4007268*v**3 = 0. What is v?\nAnswer: 0, 2003634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 + 2*y + 6. What is the units digit of b(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 47*i**4\/8 + 1033*i**3\/6 + 280*i**2. Differentiate c(g) with respect to g.\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 8c (base 16) to base 2\nAnswer: 10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 22*r = -8. Suppose -10*z + 6*z = -r. Factor 1\/2*w + w**2 - 1\/2*w**3 - z.\nAnswer: -(w - 2)*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:07 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/20)\/(-8 + (-7)\/420*-472).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**2 + 364*u + 348.\nAnswer: 4*(u + 1)*(4*u + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w - 10. Let f(y) = -9*y - 12. Let x(i) = 5*f(i) - 6*n(i). Suppose 3*z + 4*g = 24, z + g + 11 = 6*g. Let m(h) = -z*h - 2*h + 7*h. Give m(x(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.0312551\nAnswer: -0.00312551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 greater than 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2 (b) 5 (c) -1761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 71 = 2*y, u + 22 = y - 18. What is the remainder when 70 is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 3*n**2 - 3*n + 1. Let g be 7\/1*12\/4. Suppose 4*u - u = g. Let s = u + -5. Give r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) + 124\/12. Let d be (8\/j)\/(2\/(-10)). Let i(s) = -3*s - 5. List the prime factors of i(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 352\/66 + (-1)\/3. Suppose -a*x = -g - 3*x - 6, g = -4*x + 24. Find the second derivative of -4*j**4 - g*j**4 + 2*j**4 + 13*j wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 21*g**2 + 44*g + 82. Determine z(23).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -2*w. Let c(v) = -4*v**2 + 4*v + 6*v**w - 3 + 2. What are the prime factors of c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.585 + 0.505. Let w = 0.09 - x. Let v = -5 - w. Which is smaller: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*o**3 - 2120631*o**2 + 706878*o = 0. Calculate o.\nAnswer: -235626, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 420, 30, 5, 15, 0 in ascending order.\nAnswer: 0, 5, 15, 30, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**6 + 2*g**5 + 3*g**2. Let k(a) = 31*a**6 + 7*a**5 + 9*a**2. Let l(h) = 2*k(h) - 7*o(h). Find the third derivative of l(i) wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -31. Solve -10 = -a + 3*d, -2*a - b = 3*d + d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 3*v**2 + v - 9. Let f be u(3). Calculate the highest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -42. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idl when three letters picked without replacement from llllllilliidli.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 199648.1 centuries?\nAnswer: 239577720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5766178 divided by 16522\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3629991 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-46)\/6*(-6)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6659 - 6658.2582. Let b = z - 0.75. What is b rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + ((-4 + sqrt(432))*1 - (sqrt(432) + sqrt(432)*1 + 3))) + 1)**2*6.\nAnswer: 288*sqrt(3) + 2616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*f - 186 = 99 + 235 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21109 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 31, 52, 67, 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2\/6 + 3614705*b\/3 + 21688095\/2 = 0. What is b?\nAnswer: -1445873, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -0*a - 2365348 - 1911684. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -28.4, 1 in descending order.\nAnswer: 1, -2, -28.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 863.1059l?\nAnswer: 863105.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.968, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -24*o - 193. Is g(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 315. Let g(q) = q. What is g(y(x))?\nAnswer: 2*x + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2256 - -2255. What is the smallest value in x, -2, -410?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -23. Solve -n = -2*j - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034641 (base 7) in base 16?\nAnswer: -1ee53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5265 and 11232.\nAnswer: 168480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3159\/33696*(-2)\/(-15).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4 (c) 1\/380\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 163 = x - 3*d, -5*x + 5*d + 15 = 0. Suppose -2*c = c - 9. Let m(y) = y**3 - 3*y**2 + 5*y - 3. Let h be m(c). Solve -l = x*l + h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4376467.\nAnswer: 4376467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*f + 35, 27 = 2*f - 5*b + 6. Let w be (-8)\/20 + f\/(-5). Suppose 2 = -2*z - w*z. Put 1, 0, z in ascending order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 8*g + 29 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - (-14 - -9 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.2. Let z = v - 0.1. Let t = -0.95 + -0.05. Which is the second smallest value? (a) -3 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 259?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x + 9. Let a(o) = -6*o - 4. Let c(s) = 9*a(s) + 4*k(s). Let v(i) = 31 - 41 + 2*i - 24 + 34. Determine c(v(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 - 3*p**2 + 2*p**2 + 3951 - 3951 + 29*p**2 + (-5*p**2 + 2*p**2 + p**2)*(0 - 1 - 1) + 3 + p**2 - 3)*(-3 + 1 + 3) to j*p + r + i*p**2 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 13*p = -19*p + 18, -z = 2*p + 14 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 + d + 1. Let t be b(-1). Let u = 8 + t. Find x such that -4\/9*x + 2\/9 + 2\/9*x**u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-20))\/((-4)\/(-10)). What is the second derivative of -c + y*c**5 + 5*c**5 - 2*c wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 234, -2, -5, -80, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 3 + w + 1)*(16*w - 4*w - 1 + 3*w) to q + m*w**2 + y*w and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 57165\nAnswer: 2\/57165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let b(a) = -3*a**2 + 15*a + 60. Let x be b(-3). Let l(u) = -2*u**2 - 31*u - 24. Calculate the smallest common multiple of n and l(x).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2140 - 2080. What is the smallest common multiple of h and -12*(-3 + 5 + -3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7363\/14678 + -12\/7339. Factor t*s**5 - 5\/2 + s**2 + 9\/2*s - 5*s**3 + 3\/2*s**4.\nAnswer: (s - 1)**3*(s + 1)*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 165*b + 45. Let f be z(-2). Let d = 399 + f. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*j + 3*f - 2, -2*j + 40 = -4*f. Suppose j = 3*b + 2*s, -5*s = 2*b - 38 + 10. Solve 0 = -3*p + b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-400)\/240*(-5)\/((-25)\/(-6)). Let l(v) = 8*v - 22. Let r be l(h). Is 33 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/9 - 71*z**4\/9 - 254*z**3\/3 - 366*z**2 - 717*z - 531.\nAnswer: -(z + 3)**4*(z + 59)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -318\nAnswer: -5\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/300 + 259*t**4\/120 + 438*t**2. Let n(m) = 0. What is m?\nAnswer: 0, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21 - 1\/((-3)\/(-12)). Let z be i\/11 + (-11 - -10). Let g = 1 - 0.5. What is the biggest value in -1, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a - 29. Calculate w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 323 and 1854.\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 322 * 0.2\nAnswer: 64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 718*p - 1086.\nAnswer: 2*(p + 181)*(2*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50, 11, -0.019, -295?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826258.\nAnswer: 2, 413129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*w**3 + w**2 + 147*w + 538255.\nAnswer: 285*w**2 + 2*w + 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329 - -328.6. Let x = -0.4 - -4.4. Let g = x - 4.2. Which is the second smallest value? (a) g (b) 1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152108 is divided by 616?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + 43c680?\nAnswer: 43c68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/40 - 32*s**5\/5 - 512*s**4 + s**2 + 172. Let f(p) = 0. Calculate p.\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.283 - 12\nAnswer: -9.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:22 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3926466632 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**5 + 2*l**4 + 45707*l**3 - 1962530*l**2.\nAnswer: -180*l**2 + 48*l + 274242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 11.07. Let w = 7 - n. Let f = -3 + 2.6. What is the biggest value in -1\/5, w, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1824623316 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Let w(k) be the second derivative of 0*k**3 + 2*k + 1\/60*k**4 + 1\/150*k**6 + 0*k**2 + 0 - 1\/50*k**l. Determine d so that w(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31563499 to the power of 1\/2, to the nearest integer?\nAnswer: 5618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 10*x**2 - 6*x**2 - 8*x**2 - 6*x**2 - 2*x**2.\nAnswer: -7*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*g + 1199*g**2 + 6*g - 64 - 1200*g**2.\nAnswer: -(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252131.6302 plus 0.3?\nAnswer: -252131.3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36351 + 72682 - 4*o**3 - 36331.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1085.288 times -3\nAnswer: -3255.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-4 - 0)\/(-4)). Which is the third smallest value? (a) -2 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 8. Let a be m(-6). Suppose 6 = -a*w - 6. What is the units digit of 1 + (9 + w - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 49265282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d - 6*d**2 + 31*d**2 - 11*d**2 - 19*d.\nAnswer: 14*d**2 - 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 = -w, -16 = 4*p - w - 4. Let a be 63\/12 - (-5)\/(-20). Put 3, a, p, 0.4 in descending order.\nAnswer: a, 3, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 3*g**2 + 12*g**2 - 7*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5602 + -5611.0154. What is a rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.045 + 25.955. Let n = 27.5 - p. Let u = n - 5.02. Round u to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 147, 1116, 3743, 8856, 17283, 29852, 47391?\n\"Answer: 138*t**3 + t**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -98, -140, -180, -218?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*m - 14. Suppose b + m*g = -1 + 35, 0 = 4*b - 3*g - 81. What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + 7?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2743351 + 12?\nAnswer: 2743363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/5 + 12*i**4\/5 - 88*i**3\/5 - 588*i**2\/5 - 98*i = 0 for i.\nAnswer: -7, -5, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18242390, -18242388, -18242384, -18242378, -18242370?\n\"Answer: i**2 - i - 18242390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 511\/1335 - 22\/445. Put n, -3\/16, 0.4, 6\/7 in descending order.\nAnswer: 6\/7, 0.4, n, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425, -427, -429, -431, -433?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 4*l**2 - 4*l + 4. Let r be c(-5). Let s be (-1156)\/3 - r\/3. Let u = s - -716. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -4. Let h = -6423 + 6426. Sort g, 0, 1, h.\nAnswer: g, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2094190650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:21 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 18*q**2 - 31*q + 5. Let l be (4\/(-6))\/((-17)\/408). Is u(l) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7022*r - 41634. Determine g(-6).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11716\/(-783) - -10) + 3\/(-81)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -22*w**3 - w**2. Let r be g(-1). Suppose s + r = 2*k, -3*k + 24 = -s + 1. Let u = 6 - s. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 25*m + 6630.\nAnswer: -5*(m - 39)*(m + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3210314 + 1224?\nAnswer: -3204040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Suppose -4*d + 4*w = -40, -m*d = -d + w - 15. What is the second derivative of -d*b - b**4 - b**4 + 0*b**4 + b wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3180)\/(-477)*(-1)\/(-2)*15. Let x(f) = f**2 - 7*f + 6. Let c be x(6). Is p at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 416523*v**2*z**2 + 84*v**2*z - v**2 + v*z**4 + 2*v + z + 9880 wrt z?\nAnswer: 833046*v**2 + 12*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 2}. What is prob of sequence hu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5208 or -5310?\nAnswer: -5310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2885 + 1136. Suppose -3*b + 4094 = -t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:54 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, r: 2}. What is prob of picking 1 n and 1 r?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -664?\nAnswer: -3\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576825065.\nAnswer: 5, 157, 241, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102 - (-20332)\/204)\/(4\/6).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 12 - 60. Let d(o) = o**2 + 2*o - 3. Let p be d(-7). Let j be 9\/2*p\/24. What is the greatest common divisor of t and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {m: 2, q: 3, v: 1, t: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221212210 (base 4) in base 15?\nAnswer: 13d791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t**(5\/2)\/t)\/t)\/t)\/t)\/t)\/(t**6\/t)*(t**(1\/2))**(1\/22))\/((t*t**2)\/(t*t**(-2\/9)*t)*t**(2\/3)*t\/t**(-4)) assuming t is positive.\nAnswer: t**(-5689\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 7*w - 6. Let m be y(-5). Suppose 0 = -0*k + m*k - 32. Let t be 2 - (1 + -2) - 0. Solve -t*j + j = -k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251*f**4 + 433*f wrt f?\nAnswer: 3012*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-203)*(-1)\/8*14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(315))\/((1*sqrt(81))\/sqrt(9)))\/(((2*sqrt(84) + sqrt(84))*-1)\/(sqrt(12) + sqrt(12)*1*-6 + sqrt(12))).\nAnswer: 40*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 83775 divided by 30.\nAnswer: 5585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 7*u - 3*u. What is the tens digit of 602*(-2)\/(-4 - u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8575 and 45.\nAnswer: 77175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5987*k - 1023825. Determine b(-171).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*488004\nAnswer: -976008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(133) + sqrt(133))*2 + sqrt(133))\/sqrt(7) - (-5*(sqrt(19) + 1 + sqrt(2299) + sqrt(19)))**2.\nAnswer: -80300 - 655*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 t when three letters picked without replacement from vvtiuvutbiiiuviivuu.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 17*x + 33\/2.\nAnswer: (x - 33)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1305413196793\/219 + 5960825177. Let u = a + -34324. Let f = u - -1747\/3504. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-19)\/(-190))\/((-6)\/(-4))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 6609*z - 340961. What is j(52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26966 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/20 (b) -10 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941*o + 0 + 61*o + 0.\nAnswer: -880*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a + 10 + 1\/2*a**2. What is the first derivative of b(g) wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five quarters of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 5. Let n be t(4). Let y be n\/1 - 7\/3. Let v = 277\/28 - 64\/7. Which is the nearest to -5? (a) v (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143500000 rounded to the nearest 1000000?\nAnswer: 144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412429878.\nAnswer: 2, 3, 7, 659, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.081 - -5.081. Let t = -7.1 - -7. Let l = 0 + t. What is the nearest to 0 in w, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-2) - 1 - 7645\/(-11)?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, l: 2, h: 5}. What is prob of sequence hl?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3024 and 56.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 4:41 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, 13, 2535, -5 in descending order.\nAnswer: 2535, 13, 5, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/465750 and 76\/15255.\nAnswer: 52629750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 15*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*s + 39*s + 81*s + 13*s to the form x*s + j and give x.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 10*d - 17 = 78, 13*m - 4*m + 56 = 11*m - 3*d for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*h + 92 = -21, 5*h + 5 = 0. Let v = -39 + 44. Suppose 2*m - d - 344 = 0, v*m - 2*m + d = 526. What is the greatest common divisor of k and m?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3384 - -125\/1128. Put 4, l, 114, -1.5 in ascending order.\nAnswer: -1.5, l, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 78 - 75 = -5*v, -6*h = 4*v + 42. Solve -6*p + v*i = -p + 27, 3*i - 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 2:10 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 468, 466, 462, 456?\n\"Answer: -t**2 + t + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4) + (-9)\/(-24)*2)\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8. Let j = -2.3 - -3.3. Which is the closest to r? (a) j (b) 2\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -112. Let j = -89 - b. Which is greater: j or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7488)*-6)**2*2.\nAnswer: 539136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250203220, 500406488, 750609770, 1000813072, 1251016400, 1501219760?\n\"Answer: b**3 + b**2 + 250203258*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-8)*290\/15. Let o = z - -211\/28. Factor 2\/7 - 4\/7*n + o*n**2.\nAnswer: 2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 94738415.369687 and -6?\nAnswer: 94738421.369687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 5. Let k(i) = i + 7. Let r = -18 + 11. Let p be k(r). Let u be (p\/(-2))\/(-1 - 1). Give m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17010 divided by 46.\nAnswer: -8505\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 710791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 1.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226*(-7)\/(-84)*18*2\/(-6).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*v - 177, -26*i - 3*v = 11*i + 121 - 1354 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3770, -3818, -3866, -3914?\nAnswer: -3962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 = -5*s, -6 = -75*p + 76*p - 2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22861\/4102 + 1\/586. Let w be ((-1 - -6)*1)\/(-1). Which is greater: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from gmgpjpg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3258)\/15)\/((-3)\/(-15)*-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, f: 1}. What is prob of picking 1 b and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007182 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(0 + 8\/20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 567*z - 506*z - 116 - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 251*a - 13657. What is h(-46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.37, 15.9 in descending order.\nAnswer: 15.9, 0.37, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 47289*j + 4 - 47286*j + 12*j**4 - 8*j**2 + 10*j**2 - 3*j**4 + 9 to the form l*j**4 + o*j**2 + c + y*j**3 + d*j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17.616 in 2\/3, -2, -1, -2357?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.22775 rounded to 2 decimal places?\nAnswer: -2.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -16*v + 95. Suppose 2*x + 21 = v*x. Solve 4*f = -4*h + 20, -5*h + 18 + x = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 9 = -3*q - 4*c, -c = -2*q + 14. Suppose 4*i = 2*i + 6. Solve -14*s**3 - q*s**2 + 2*s + s + 2*s**i = 0 for s.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 6, r: 1, b: 3, m: 8}. What is prob of picking 1 b and 1 m?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292178 is divided by 4868.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/4 + 2*c. Let q(w) = -2*w. Give p(q(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**3 - 2*x**2 + 3*x - 3. Let o be b(2). Suppose -185 = -3*g - 122. Let c = g + o. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*n - 648*n = 71*n + 9435 - 139927 for n.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/2)\/(15\/(-100)). Suppose 3*j + 2*j - u = 0. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v + 13*v + (-3 + 1 + 3)*(3*v + 3*v - 4*v))*(1 + 0 - 9).\nAnswer: -112*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 198623 (base 14) in base 16?\nAnswer: dd5e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottttttotttttoooto. What is prob of sequence ot?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:53 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:00 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*d = -23, f - 3 = 2*d - 12. Is f at most -14\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 53*v**4\/2 + 71*v**3\/3 - 49. Find the third derivative of m(w) wrt w.\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**5 + 92*y**4 + 138*y**3 - 2288*y**2 - 3576*y + 1440 = 0 for y.\nAnswer: -4, -2, 1\/3, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12869*u**3 + 3*u*z + z - 144 wrt u?\nAnswer: -38607*u**2 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128242 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92937 - 186449 + 95654)*((-2*q**3 + q - q)*(-1 + 0 + 0) + (-2*q**2 - 2 + 2)*(2*q - 1 + 1)).\nAnswer: -4284*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73318, 73315, 73312, 73309, 73306, 73303?\nAnswer: 73300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9833159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -23. Let q be (-3)\/(-5) - 21\/g. Solve 0*n - 3*n = 5*f - 25, -q*f = 4*n - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8920176*l**2*v**2 + 224*l*v + 248*v**2 - 10*v wrt l.\nAnswer: 17840352*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {x: 3, b: 4, u: 2, f: 1, k: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3096499412 to the nearest integer?\nAnswer: 55646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 428119 or 428181?\nAnswer: 428181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-22) + 310999\/143.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134)\/40 - 164\/((-93808)\/(-715))?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 324, 418, 426, 318, 64?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78168, -78099, -77982, -77817?\nAnswer: -77604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/581773 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*m - 7*w - 25, -w = 3*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - -0.63. Let x = 0.645 - j. Let p = x + 0.05. Round p to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2269, 2273, 2275, 2275, 2273?\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96264 by -4.\nAnswer: -24066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 3, y: 4, s: 2, a: 6}. Give prob of picking 1 d and 1 a.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*g - 163*g - 195*g.\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10046, 1, 5?\nAnswer: -10046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 5*l = -7956. What is the hundreds digit of 65\/(4 - l\/(-78))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21716581 and -0.3?\nAnswer: -6514974.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 3*b - 3, 64*f - 1629*b + 246 = -1631*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -129 - (((-10744)\/(-237))\/34)\/(16\/12 + 0)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7064332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 40 + 136 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)*i*i**8)**(-3)*((i*(i**(-4\/5)*i)\/i*i)\/i**(1\/3))\/(i**(-2\/7)*i\/i**1) assuming i is positive.\nAnswer: i**(-1073\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58344 equal to 58405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*x)*(-1 + 2 - 4).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 115?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27123*l**2*u**3 - 37918*l**2*u - u**5 + 1 wrt u.\nAnswer: -162738*l**2*u - 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -147, 8, 0, -1.\nAnswer: -147, -6, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 3. Let b be a(-5). Let f(u) be the first derivative of -2*u**3\/3 + u**2\/2 + u + 18. Give f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**6\/2 + 52*v**5\/5 - 59*v**3\/3 - 9*v - 33. What is the third derivative of i(b) wrt b?\nAnswer: -180*b**2 + 1248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*(13\/(-12) - -2)*30\/(-40)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h + 50. Let x be p(-9). Let v(z) = -z**3 - 3*z**2 + 4*z + 2. Calculate v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*i + 31*i - 25*i)*(-4*i + i + 2*i + 7*i**2 + 2) + 2 - 2 - 3*i**3 in the form s*i**3 + a + w*i + x*i**2 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.5 (b) -2 (c) 2 (d) -2\/11 (e) -0.078\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8717)\/644 - -13)*(8 - 12)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -11335361 and 5.\nAnswer: -56676805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 17433?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 198001730 and -358.\nAnswer: 198001372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 + 7870*a + 3096845 = 0. What is a?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) -5 (c) -1625\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12209664 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1014*z + 12172. Let h be d(12). Solve 182 = b + 3*s + 191, h*b + 3*s = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, c: 6}. What is prob of picking 4 z?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2)\/10 - 4. Let n be 42\/56 - 21\/h. Suppose -3*p - 2*l = -n*p + 148, -4*l = -16. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -147*y**4 + 432356*y**3 + 82865923?\nAnswer: -588*y**3 + 1297068*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5280 and 100656160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/(6\/8). What is the smallest common multiple of 4 and y\/(-3)*54\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10123 and 475972.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 + 1.82. Is i != -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*3\/1*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3696994?\nAnswer: 2, 7, 264071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-16 - (-26 + 28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56985 divided by -11397?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(3 - (-120)\/(-39)). Let s be -1*((-82)\/2 + 2). Calculate the greatest common factor of q and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 171*x - 10. Let g be t(51). Let i = g + 2478. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64317282.\nAnswer: 2, 3, 1877, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -697, -90, -1 in ascending order.\nAnswer: -697, -90, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 12) to base 3.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:42 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 8*b - 3. Let d be t(3). Let r(l) be the third derivative of l**5\/15 + l**4\/24 + l**2. Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154873 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {e: 7, j: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k**29*k*k*k**(10\/7)*k**(-3) assuming k is positive.\nAnswer: k**(-221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000401 to 6 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 254 + -181. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m - 11*m + m**3 - 13*m - 16*m**2 - 16. What are the prime factors of g(17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 7*d**2 + 12*d + 19. Determine i(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.177 times 3?\nAnswer: -0.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:25 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24660630, -49321260, -73981890, -98642520, -123303150, -147963780?\n\"Answer: -24660630*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 3*h)*(0 - 2 + 1) + 9 - 11 + 3 - 22*h to d + f*h and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 985753*-1\nAnswer: -985753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26367 - 7609. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113041*t + 305 - 305.\nAnswer: -113041*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 2. Let k be d(-2). Let q(b) = 11*b**2 + b - 1. Let f be q(k). Suppose -3*w + f = -4*l, -4*w - 3*l = -9*w + 64. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*w**2 + 2*w**2 + 9*w**2 + 9*w**2.\nAnswer: -41*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 7*i = 10*i + 46 - 194, v - 30*i = -1438 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3\/5 (b) -0.11 (c) -0.1 (d) 5 (e) -70\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122411 (base 5) to base 6.\nAnswer: 33523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 2. Let v(z) = z + 3. Let k(h) = -3*f(h) - 4*v(h). Let i be k(-6). Solve 2*r + 2*r + 4 = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 - 4*y + 263. What is b(0)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.13 and 25255?\nAnswer: 25253.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 2*l + 2. Let f be y(2). Suppose 4*i + 2 = f. Let o(k) = -k**2 - k - 1. Let g(n) = -10*n + 6. Let u(h) = i*g(h) - 2*o(h). Factor u(z).\nAnswer: 2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20314, 40629, 60944, 81259?\n\"Answer: 20315*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 + 2*c + 1. Let s be u(-2). Suppose 0 = 4*a + 4*v - 8, -4*a = 3*v - 10 + s. Let t(j) = j**3 - 2*j**2 - 2*j + 1. Give t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 3.82?\nAnswer: -1.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 4. Suppose -n*v + 28800002 = 4*u, -28799995 = -5*u + u + 5*v. Suppose r - 4*r - u = 0. Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 5. Determine t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9\/2. Let n = -475 - -480. What is the third biggest value in n, 3, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m + 189 = -3*m. Let h(t) = -t**3 - 9*t**2 - 15*t + 1. Determine h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 561600 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 155 + -5?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2 = 5*o - 3*o, 5*k = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.16 - -2.53. Let y = a + 4.62791. Round y to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/(728\/(-1092) - 148\/21)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 787528?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.3. Let z = 6 - 3.6. Let v = z + -2. Put r, v, -3 in decreasing order.\nAnswer: r, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2560231644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 c when three letters picked without replacement from cxxwcxcxgxcxggxc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -281 + -269. Let s = -372 - j. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 9*i - 2376 = -17*i - 65*i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9096202*n**5 - 987*n**2 - 13*n + 139 wrt n.\nAnswer: 545772120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1, 2, -1\/9, 401 in ascending order.\nAnswer: -25, -1\/9, 1, 2, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 83. Let x = a - -70. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111000010 (base 2) to base 16\nAnswer: 1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395637647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, e: 4, a: 2}. Give prob of sequence ao.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79066958.\nAnswer: 2, 39533479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113503 - -143?\nAnswer: -113320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*x + 206, 5*f + 2*x + 200 = 7*x. Let r = -39 - f. What is the derivative of r + o + 9 + 2*o - o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-15)*1)\/((-7)\/(-21))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 27. Suppose -8*h - 60 = -2*h. Let g = a + h. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4298 by -4.\nAnswer: -2149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.228 + 1354988?\nAnswer: 1354991.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from zzeo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a + 2. Let k be h(0). Let j(w) = w**2 - 5*w**k + 0*w**2. Let n(l) = -2*l. Give j(n(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 27 - 13 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*t + 9 + 2, -3*z = 5*t + 2. What is the remainder when 9 - (9 - z) - -127 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-12))\/16*(-45)\/(-20)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 991.5573 kilograms?\nAnswer: 991557300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 324 - 922. Let m = -80 + p. Suppose -14 = -4*r + 2*r. Calculate the smallest common multiple of m and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:03 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/3)\/(76\/(-138)). Let h = 317\/57 - l. Let y = -90787\/21 + 4327. What is the common denominator of y and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 172\/(-22) - 4*3\/66. What are the prime factors of -4*((-214)\/24)\/(u\/(-24))?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajaj when four letters picked without replacement from ajjjajjaaajaa?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*(-45)\/(-1500)*(-1)\/3*-1. Let k be ((-1)\/(-3))\/(14\/18). What is the third biggest value in b, k, 0, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 8)*1\/2. Suppose 5*f = 2 - 7, -2*k + h*f = -30. Calculate the greatest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2 - -1.2. Let p be (-125)\/1750*7\/(-2). What is the third smallest value in -4\/5, p, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -509.5 - -507.5. Put b, -2\/1013, -1 in decreasing order.\nAnswer: -2\/1013, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 minus 23.63?\nAnswer: 46.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + 2*sqrt(1900) + sqrt(1900) - (6*(-1 + sqrt(1900)))**2).\nAnswer: -68436 + 750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/180 - 9*x**5\/20 + 155*x**4\/24 + 1922*x**3\/9 - 7759*x. Factor q(v).\nAnswer: v*(v - 31)**2*(v + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 - 5*b**2\/2 - 5275. Let q(o) = 64*o**2. Determine v(q(l)).\nAnswer: -4096*l**4 - 320*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -1 - (22 + (-45 - (23 - 55))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, m: 1, i: 3, w: 11}. What is prob of sequence minw?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let b(r) be the second derivative of -r**3\/3 - 443*r**2 + 41*r + 2. Calculate b(f(m)).\nAnswer: -2*m - 886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 8 = -2*s, 512*s = 520*s + 5*a + 97 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3192 - 6*v**2 - 6414 + 3223 + 38*v**3 to u*v**3 + o*v + b*v**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 4)*(24\/(-5))\/(-4). Let i(m) = -m**3 - 6*m**2 - 4*m + 12. Let o be i(-5). Find the third derivative of -o*n**y + 12*n**6 + 7*n**6 - 46*n**2 wrt n.\nAnswer: 1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = -1581*y + 1539*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i - 140*i = -138*i + 679 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 4045.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1092 + -1092.1294. Let z = -0.0706 + m. Which is greater: z or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5420 and -17.\nAnswer: -92140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6339 - -6336. Let x = -12 - 17. What is the third smallest value in x, m, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-18 - (19 + -11 + -4 - 9))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -680882 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3\/9683, 1.7, 0.1, 4 in ascending order.\nAnswer: -1\/3, 3\/9683, 0.1, 1.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011111011100100100110 (base 2) to base 3.\nAnswer: 100211102222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 56368 + 56368.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.63 (b) -4801 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -45. Suppose 8339*s - 8331*s - 168 = 0. Let r = d + s. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 6:02 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-33) + (-31)\/11. Let w(c) = 2*c - 5. Let z(r) = 2*r - 5. Let a(n) = -4*w(n) + 3*z(n). Let x be a(b). Calculate the highest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppxbbjjxp. What is prob of sequence bp?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + -81. What is the closest to -4\/3 in -0.2, w, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2114 and -10.1?\nAnswer: 21351.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2640\/(-224))\/(-33)*12\/5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 6:07 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18\/(r*r*r**(-4)))\/(r\/(r**(-11)\/r))**(2\/7) assuming r is positive.\nAnswer: r**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -35*z**2 - 147*z - 23. Let f be y(-4). Solve -3*l + 5 = 5*v - f*l, 22 = 3*v - 5*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(23\/(-2484)). Is m less than 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-357)\/2*2\/(-36) and 277\/(-42) - (-12)\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/8 - 575737*z + 662946186338.\nAnswer: (z - 2302948)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17438*p + 17438*p + 2335*p**3)*(6*p**2 - 5*p**2 + 4*p**2).\nAnswer: 11675*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 4. Let l be s(7). Suppose l*m - 28167 = 46833. Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.45. Let y = s - -34.55. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-246)\/(-9) + 2\/3. Let c be (2 + -1)*(-112)\/(-52)*13. Calculate the greatest common divisor of c and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 24 - 132 - 4*w + 113.\nAnswer: -4*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*i - 16 = -72, -2*w + 3*i = 27. What is the units digit of 5*((-21)\/w - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15547, -31091, -46633, -62173?\n\"Answer: i**2 - 15547*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -107112.\nAnswer: 1\/35704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*b - 74, 2*b = -3*z + 4*z - 58. Let v = b + 41. What is the greatest common factor of 70 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1923379 + -335305. Let y = -165161319\/104 + j. Let i = y + 198\/13. Calculate the common denominator of i and -39\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 561.\nAnswer: -2\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 2*k)*(3 - 3 + 1)*(3*k - 2*k + 2*k)*(0 - 2 - 2).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 55?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + y - 2 + (1 + 2 - 2)*(-5*y + 2*y + y) + (3 - 4 - 2)*(5*y - 2*y - 5*y))*(5*y - 3*y + 2*y)*(-20 - 90 + 36).\nAnswer: -1480*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -83823880 and -62.3?\nAnswer: 83823817.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3*g**5\/20 + g**3\/4 - 1. Factor h(v).\nAnswer: -3*v**2*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-9 + -2 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2733123844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1190.67 and -0.21?\nAnswer: 250.0407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z. Suppose 2*p + 0*p - 48 = z. Let o be (p\/84)\/(4\/6). What is the smallest value in 5, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66100*b*w**3 - w**3 + 2*w - 2 wrt b?\nAnswer: 66100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -68, -52, -40, -38?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 650 = 14*j. Let z = -101\/2 - j. Which is the third smallest value? (a) 1\/3 (b) 4 (c) 4\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/75*((-4)\/(-8) + 2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*m - 1 = 7*b, -3*b - 5*m - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f - 4*u + 414, -138 = f + 5*u. Let t = -13 - f. Does 50 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 251541 and 1760787.\nAnswer: 1760787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11120002 (base 3) to base 13\nAnswer: -1688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c6f + -1?\nAnswer: -c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**6\/60 + 3*s**5\/40 - s**4 - 20*s**3\/3 - 34*s - 55. Let g(y) be the first derivative of u(y). Find x, given that g(x) = 0.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 21*q**2 - 21*q - 9. What is the tens digit of k(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 6. What is the remainder when q is divided by (42\/(-35) + 2)\/(2\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3))) - (4*sqrt(8)*2 - sqrt(8)))\/(-5*-2*sqrt(4) + sqrt(36)*2).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/4 - -2) + -2. Let q(a) be the first derivative of -a**4\/4 + a**3\/3 - a**2\/2 + 11*a + 31. Give q(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*w - 2*a**2 + 3*a*w - 8619*a - 1807*w + 8561 wrt a?\nAnswer: -4*a*w - 4*a + 3*w - 8619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2309, 4669, 7063, 9497, 11977, 14509?\nAnswer: 17099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470818810 to the power of 1\/2, to the nearest integer?\nAnswer: 21698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.5. Let v = -14 - -14.4. Sort v, s, -2 in descending order.\nAnswer: v, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 5*p)*(-1 - 2*p + 1)*(6*p**2 + 0*p**2 - 2*p**2) + (p**2 - 2*p + 2*p)*(65*p**2 - 209 + 209).\nAnswer: 49*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -78. What is the remainder when 52 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*x - 4 = 0, -2*t - 6*x = 19*x - 35 + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6296593 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5290 = 4*u, r + 5294 = -7*u + 11*u. Let f = 2736 - u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {z: 2, l: 4, w: 1, m: 2, j: 1, f: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.5 - 41. Let q = -44 + 56. Let b be 155\/100 + q\/(-16). What is the nearest to 1 in u, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + 13)) + 0 + (2 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -1283*f**3\/6 - 887*f**2 - f - 212. Find the first derivative of h(n) wrt n.\nAnswer: -1283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 475*d**4 - 52*d**3 + 2*d**2 - 35*d - 20. Let s(u) = -4*u**3 - 2*u - 1. Let c(i) = 13*s(i) - t(i). Find the third derivative of c(l) wrt l.\nAnswer: -11400*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 10*n**2 - 3*n - 17. List the prime factors of g(7).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 2. Suppose i = 4*z - 364, -4*i = -5*i. Let n = 130 - z. Let f = -37 + n. What is b(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/15*3 + 114. Suppose 2*r = -3*r + 2*q - 258, 2*r + z = -5*q. Let f = 99 + r. Calculate the remainder when f is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*t - 20 = 118*t. Let j(n) be the third derivative of -5*n**4\/12 + 2*n**3\/3 - 2*n**2. Let o(x) = 11*x - 5. What is t*j(p) - 4*o(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 522 = -4*z. Suppose 17*s = -41 + z. Solve -5*i + 2 = 4*d, i + s = -i + d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.11\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3790*k**2 - 3793*k**2 + 178 + 7580*k**2 + 58*k**4 wrt k?\nAnswer: 232*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*r - 4*k, -4*r + 18*k - 5155 = -5225 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 42775248\nAnswer: 1\/42775248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 - 4 + l + 68 - 25 - 12 in the form b*l**2 + d + v*l and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c + 9. Solve 1 = 4*k - c*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 56. Find the third derivative of -20*r**6 + 25*r**3 - 25*r**3 + 3*r**2 - 8*r**z wrt r.\nAnswer: -2400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.067*2639\nAnswer: -176.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-9)*-3*(23\/(-1))\/506?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1, -0.004, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296151.\nAnswer: 3, 98717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + 5*u**4 + 0*u**4)*(-1419 + 173 + 38).\nAnswer: -2416*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 3, h: 6, c: 1}. What is prob of sequence vha?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -4, 6\/11, 126, 1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2217 + 123 - 970 + 408)*(3*p + 2*p - 4*p) in the form t + w*p and give w.\nAnswer: -2656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29656 and 3454.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 + 91674*w**3 - 9*w - 30441074.\nAnswer: 8*w**3 + 275022*w**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -308*k**3 + 927*k**3 - 307*k**3 - 1084 - k**2 - 313*k**3 + 347 to n*k**2 + g*k + w + q*k**3 and give w.\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -25, -67, 18, -1, -4.\nAnswer: -67, -25, -4, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {p: 6, x: 4, o: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - 3*c**3 - 2*c**3 + (-57 + 34 + 25 + 7*c**2)*(-57*c - 74*c + 98*c) in the form s*c**3 + t*c + l*c**2 + b and give s.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63989.\nAnswer: 61, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 342, 328, 298, 246, 166, 52, -102?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-42 + 40 + -15 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 + 4. Let p be u(-4). Suppose -o = 3*o - p. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -58. List the prime factors of 11\/(33\/340) - 2\/d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3*q - 266446*o**3 + 8961*o**2*q + 50*o*q - q + 15 with respect to q.\nAnswer: -o**3 + 8961*o**2 + 50*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -84\/11 smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bblbbblbbbbb. What is prob of picking 1 b and 2 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -41. Let v be k + (4 - (-65)\/(-15)). Which is the nearest to 1? (a) 0.3 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -314 and 0.048.\nAnswer: -15.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, p: 3, b: 1, r: 6}. What is prob of picking 1 p and 1 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27156 divided by 3831\nAnswer: -9052\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/10)\/(2*(-7)\/(-770)). Let k = z - -84. Suppose -6*s = -548 + k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -623906 divided by 6.\nAnswer: -311953\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14724?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:34 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97037 - 57378. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15593015 divided by 2869?\nAnswer: -5435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 201*z + 49*z - 159*z.\nAnswer: -311*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) -3 (c) 0.5 (d) -4\/15 (e) -0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 47*u + 497. Give o(-56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482*i**2 - 2*i**3 - 86 + 86 + 1482*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2. Let n(w) be the second derivative of -w**4\/12 + 10*w. Determine n(g(c)).\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84) - (sqrt(84) + (sqrt(84) + (-4*sqrt(84) - sqrt(84)))*-2)))\/(1*(sqrt(300) - sqrt(300)*-2) - 3*(sqrt(300) + sqrt(300)*-2 + sqrt(300))).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 2*d**3\/21 - 2*d**2\/7 - 5. Determine b, given that y(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19574, -19664, -19754, -19844, -19934?\nAnswer: -20024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by (6 - 0)*((-22)\/(-33) + 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/123)\/((-17993)\/38827)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/((b**(-2)*b)\/b*b*b)*b*b*b*b*b\/((b\/b**(6\/11))\/b*b*b)*b**(-3\/4)\/((b\/(b\/(b\/b**(-2\/19))))\/b))\/((b**(2\/5))**(1\/38))**(-46) assuming b is positive.\nAnswer: b**(25809\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5395 is divided by 225?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50011?\nAnswer: 13, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45, -60, -219, -426, -675, -960, -1275?\n\"Answer: a**3 - 33*a**2 - 13*a + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 + (-8535)\/(-45). Suppose v = 6*l + l. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 0.0168394870695.\nAnswer: 0.1831605129305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 - 1754*w - 19139. Calculate p(-11).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5691?\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/50)\/(1 + (-26)\/10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070507?\nAnswer: 3, 751, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330878769, -330878768, -330878767, -330878766, -330878765, -330878764?\nAnswer: -330878763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -306, -326, -350?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 967 - 965.626. Which is smaller: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/5 - 47\/10. Is h at most -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8664942 to the nearest one hundred thousand.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = 610. Let p = m - -14028\/23. What is the second biggest value in p, 1, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40447694 divided by 14581?\nAnswer: -2774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8590524, 8590540, 8590566, 8590602, 8590648, 8590704?\n\"Answer: 5*q**2 + q + 8590518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 50*p + 29. What is the hundreds digit of l(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 358?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 3952*y**2 + 19844*y - 15888.\nAnswer: -4*(y - 4)*(y - 1)*(y + 993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -903944 divided by -8?\nAnswer: 112993","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = 4*q, 17*q - 5*f = 13*q - 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07848903 rounded to four decimal places?\nAnswer: 0.0785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 37. What is the closest to y in -1\/3, -1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26276410289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j**2 - 30*j + 79. What is b(6)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 476 = -518 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (-39 - -14) - -5 - -4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130565225 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391967 to the power of 1\/2, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 15. Let m be 10\/4*(-32)\/q. Suppose 0 = -4*s + 2*r + 26, s - m*r + 3 = -1. Solve 4*v + s + 4 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62888\/3 - 21559. Let c = g + 597. Which is smaller: c or -8.9?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -735 divided by -5\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2*y**3 - 3*y**2 - 1 - y + 13 + y**4 - 2 to the form f*y**2 + p + k*y + g*y**4 + u*y**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 11 = 83. Suppose -7*u + 10*u = d. Calculate the remainder when 91 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 501300 = 7*j - 47*j. What are the prime factors of j?\nAnswer: 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose -f + 4*s - 10 - 23 = n, -4*f - 132 = -3*s. Let u = f + 50. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 7*a - 2. Let j be s(4). Suppose -3*y + 0*v + 14 = -2*v, 5*y + j = -5*v. Let k be 4\/18 + y\/(-9). Sort 13, k, -3 in descending order.\nAnswer: 13, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -11.9. Which is the smallest value? (a) w (b) -8 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 10. Let t be c(7). Suppose -4*b = -t*v - 19, 3*v = -0*v - 3. Solve b*w = 4*g + 32, w - g + 22 = 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 92, 43, -22, -103, -200?\n\"Answer: -8*o**2 - 25*o + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 870.2159mg in micrograms?\nAnswer: 870215.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -12. Let o(i) = -5*i**2 + 1. Let a be o(w). What is the biggest value in 5, 2, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -798679\/60 - -13310. What is the common denominator of u and -117\/1420?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 21*a**2 - 152700*a + 19411956 = 0.\nAnswer: 906\/7, 7142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -459*y - 9. Let u(m) = 45*m**2. Determine f(u(w)).\nAnswer: -20655*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -525\nAnswer: 472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 780459 and 27.\nAnswer: 21072393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1590 greater than or equal to -1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lvvsstsvtuvuvvl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -87, -292, -695, -1362, -2359, -3752, -5607?\n\"Answer: -11*i**3 + 4*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 2 - 3 - 2. Let g = 21 - 15. Suppose 0 = g*w - 4*w. Determine x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + 2)**2 + -3.\nAnswer: 4*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5*p - 5*j**4*p - 1540*j**2*p - 56*j + 31927*p wrt j?\nAnswer: 40*j**3*p - 60*j**2*p - 3080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33719*y**2 - 93*y - 130?\nAnswer: 67438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3, -209579 = 3*p - 4*l - 209578 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12461 + 12?\nAnswer: -1244c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -172. Let d = r - -90. Find the third derivative of 20*w**d + 3*w**3 + 2*w**2 - 3*w**3 - 60*w + 59*w wrt w.\nAnswer: 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3*b - 3, 1461*w - b = 1457*w + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23646 is divided by 4444?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*k. Let o be 1 + k + (-45)\/12. Is o at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:06 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 19*a + 8*a - 2912557. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 69434008.6178?\nAnswer: 69434010.6178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 23, 54, 97, 152, 219?\n\"Answer: 6*x**2 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(294)*-2 - sqrt(294))\/((-2*sqrt(2)*-1 + sqrt(2))*-2))**2.\nAnswer: 2401\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 5. Let n(a) = -a + 2. Suppose 11 - 5 = -2*k. Let d(f) = -2*f + 1. Let t(j) = k*d(j) + 4*n(j). What is 3*t(y) + 2*v(y)?\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*q - 89*q - 1754064 = 0. Does 78 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32020 - 32019. Let x(k) = -6*k + 3. Let b be x(-3). Let a be 18\/b*6\/(-9). Put 0.5, f, -1, a in decreasing order.\nAnswer: f, 0.5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6*f - h + 596, 0 = 2*h - 4. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1646824181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6503 (base 8) in base 2?\nAnswer: 110101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*g - 7*g - 5*c, 0 = -3*c + 12. Solve -y - 7 + g = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, d: 3, e: 1, h: 5, b: 5}. Give prob of picking 1 d, 2 t, and 1 e.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 37, 36, 35, 34?\n\"Answer: -a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*x + 38 + 7, 0 = 2*l. Suppose a = -x*u + 13*u + 428, -2*a = -3*u - 881. Is 32 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63330 + 43?\nAnswer: -63276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -130587855 divided by 2291015?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1000274 + 1000265.999996. Let b = 19 + -11. Let w = z + b. Round w to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*h - 12, -13617*h - 46 = -13613*h - 5*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**4 + 6*p**3 - 19*p - 6. Let r(v) = v**3 - v - 1. Let h(d) = m(d) - 6*r(d). What is the second derivative of h(u) wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1052*k - 8419. Let l be p(8). Let m be (-3)\/6 + 18\/(-4). Sort -2, m, 0, l in decreasing order.\nAnswer: 0, -2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3102*g**2. Let h(l) = 69*l**2 + 14. Let i(x) = -30*x**2 - 6. Let p(m) = -3*h(m) - 7*i(m). What is p(w(f))?\nAnswer: 28867212*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:11 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1005 + 1001. Let t = z + 13. Solve -4*n + 0*k + 5*k = t, -3*n - k = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/8, 1, -0.1, 1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/4 - 291*r**4\/4 + 21535*r**3\/4 - 331113*r**2\/4 + 318940*r + 407175 = 0.\nAnswer: -1, 10, 89, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 32*b. Let i(s) = 11*s. Determine -8*i(w) + 3*r(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p + 5. Let z(k) = 9*k + 6. Determine 4*q(a) - 3*z(a).\nAnswer: 9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 - 5*a - 5. Let w be o(4). Let z(l) = 6*l. Let u = -1 + 8. Let g be z(u). Calculate the greatest common factor of g and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 259776*v**2 + 519505*v**2 - 259729*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3338*m**3*r**3 + 93*m**3*r**2 + 73*m*r - 2*m - 28*r**3 - 119*r**2 + 2*r wrt m.\nAnswer: 20028*m*r**3 + 558*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2751 - 262943.\nAnswer: -260192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -12)*(-4 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17734, -17719, -17698, -17671, -17638, -17599, -17554?\nAnswer: -17503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1527\/11, 2\/475, -3, 0?\nAnswer: -1527\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6192 divided by -16.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -524.5 + 834. What is d rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/2))**(-19)*t**(-5)*t*t*t**2*t)**47)**(26\/3) assuming t is positive.\nAnswer: t**(11609\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 357*d. Suppose 0 = 5*q + 68 - 63. Let s be a(q). Let i = s - -540. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -364 + 362. What are the prime factors of 568\/(-10)*(b - (-22)\/(-4))?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r - 4. Let s = 13 + r. Solve 0*m + 2*m - 4*m**2 - s*m + 2*m = 0 for m.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, l: 10, v: 1, o: 1, w: 5}. Give prob of sequence va.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 17 = -m, 26 = 4*n - 4*m - 6. Suppose 3*g = 2*g + n. Suppose 0 = 6*t - t - 30. Which is greater: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195178 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 9*q + 11. Suppose -7*u + 5*u = -34. Let v = -9 + u. Determine x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4917?\nAnswer: 1\/1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-248)*(-2)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y + 5*y**2 + 2*y**2 - 4*y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2078c - 5?\nAnswer: -20792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(2 + -6*(sqrt(3) - sqrt(75)))**2.\nAnswer: 960*sqrt(3) + 17320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 3:01 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x**2 - x - 1. Suppose 45 = -2*h - 3*h. Let n = 8 + h. Let y be r(n). Sort y, 1, -3 in descending order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8965 to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003308118 to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 22 = 0. What is the remainder when 30 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 26*y = -42. Suppose 5*d - 184 = -4*w + 162, 0 = 3*w + y. Calculate the least common multiple of d and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-24) - (2 + -285). Suppose 0 = -13*x - f + 597. What is the least common multiple of 44 and x?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31982.7 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2571, 4890, 6955, 8766, 10323, 11626, 12675?\n\"Answer: -127*r**2 + 2700*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v - 1. Let p(q) = q**2 + 5*q - 30. Let u be p(5). Let n(g) = -3*g**2 + 4*g - 4. What is u*f(h) - 5*n(h)?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10 = -2*q, 0 = q + 2*w + 3*w + 17. Solve 0 = -2*z + 5*r + 11, -17 = -0*z + 4*z + q*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*s - 14 = -3*u, 45 = 3*u + 3*s. Suppose 61*v = 66*v - 40. Calculate the least common multiple of v and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*a**4 - a**3 + 9*a**3 + 2*a + 4 to the form o*a**4 + m + n*a**2 + y*a**3 + v*a and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 7*w - 6. Let r be q(11). Calculate the highest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/22 and 121\/178470?\nAnswer: 1963170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/2 - -2. Suppose -16 = 2*x - d. Let y(l) = -l**3 - 7*l**2 - 2*l - 7. What is the remainder when 13 is divided by y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**3 + 2*b**2 + 2*b. Suppose -2*o - 11 = 5*v, 0 = -5*v + 3*v + o + 1. Let p be m(v). Suppose 10*d = 7*d + p. Sort -6\/5, -0.1, 1, d.\nAnswer: -6\/5, -0.1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(-7)\/(-14)*4\/5. Let t = -8 + 4. Sort -2, q, t in decreasing order.\nAnswer: q, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8758*a**2*s**2 + 4*a**2*s + 2*a*s**4 - 4*s**2 - s + 4186 wrt s?\nAnswer: 17516*a**2 + 24*a*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 16\/5, 2\/3, -0.09, 24\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*x - 53. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 801557*c**4 - 4322567 with respect to c.\nAnswer: 3206228*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - r - 22 = 4*w, -19 = -4*r - 3*w - 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2522? (a) -0.3 (b) 25 (c) 0.14 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11504 by 1438.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 6*s - 6. Let i be ((-12)\/(-10))\/((-6)\/(-20)). Is 17 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {c: 1, g: 1, r: 5, w: 2, i: 1, o: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, -5, -15, -29?\n\"Answer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36753460759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:13 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 775, -35, -19.\nAnswer: -35, -19, 775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/2)*l)\/(l**(-2\/25)\/l*l*l))\/(l*l*l**(-2\/5))**31)**(-9) assuming l is positive.\nAnswer: l**(22059\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 628*i**2*p**3*y**2 + 4*i**2*p**2*y - 147*i*p**3*y**2 - i - 59*p*y - 6*y**2 wrt p?\nAnswer: 3768*i**2*y**2 - 882*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.7158 - 0.0242. Let i = 116.26 - 116. Let b = i - g. What is the smallest value in 1\/2, b, 14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + -31.8. Let n = -50.799999623 - p. Round n to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30243 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17135 by 745.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(-y + 0*y + 0*y) + 4*y + 0*y + 4*y + (y + 3*y - 5*y)*(1 + 3 - 5) + (-3 - 2 + 4)*(9*y - 8 + 8).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-10))\/(27\/(-45)). Suppose -k - 10 = -1. Let g be k\/(-10) + (-2)\/5. Which is the third smallest value? (a) g (b) -1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411751815 a multiple of 2235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:26 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 21. Let h(f) = -6*f**3 - 4*f**2 - 11*f + 6. Let y(j) = 7*j**3 + 4*j**2 + 12*j - 6. Let b(s) = -5*h(s) - 4*y(s). Is b(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31159 + 31308. Calculate the greatest common divisor of 23542 and l.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o - 4*o + 41904 = 0. What are the prime factors of o?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d*(d**(3\/2)\/d)\/d*d)\/d*d*d\/(d**14*d) assuming d is positive.\nAnswer: d**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 = -3*x - 13593. Is 22 a factor of (-1)\/6 + x\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - c - 2 = 0, -4*c = 6*r + 5740 - 5732 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1411\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19*d**3 + 2*d**2 - d - 4. What is the remainder when 3315 is divided by q(-2)?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 11*m - 858. Let i = -72 + m. Let o(z) = z**3 + 5*z**2 - 6*z + 3. Determine o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -294 - -300. What is the lowest common multiple of k and 568?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, and 1 t when three letters picked without replacement from {n: 2, t: 1, l: 1, f: 1, g: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 14*y**2 - 7*y**2 + 9 + 22*y**2 + 47*y + y**2. Suppose 3*r + 6 - 63 = 0. Is u(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.8. Let l = 0.018 - -6.982. Let x = 8 - l. Which is the nearest to 0? (a) 1\/2 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 4, -0.1, 0.006, 3\/4, -0.03?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) 1 (c) -0.7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -7*j**5\/20 + j**2\/2 + 5*j + 4. Let n(d) be the first derivative of p(d). Find the first derivative of n(w) wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34062 and 12?\nAnswer: 34074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 452 = -44. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Suppose -6*k + 16 = -2*k - 2*a, 5*a = k + 5. Let r(h) = 0*h + k*h - 17*h. What is j(r(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.5712 minutes to seconds.\nAnswer: 7174.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2. Let d(h) = h + 1. Let l(f) = -d(f) - r(f). Calculate l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101000110101110011 (base 2) to base 5.\nAnswer: -1440243144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 3970. What are the prime factors of p?\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0972596 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104211*i**4 - 93537?\nAnswer: 416844*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716 at most 350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 22013?\nAnswer: -21fe6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 1239795?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -p - 3*o - 12, 0 = p - 5*o - 15. Suppose 0 = -3*j - 2*j. Let l be j\/(-3 + 2 + -1). What is the closest to l in 4, p, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 2*d - 3*d - 4*d + d + 2*d + d - d + 2*d + 2 + 2*d - 2 + (-1 + 2 + 1)*(0 + 2*d + 0) + 7*d - 7*d - 3*d to z*d + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + g)*(-2 + 2 - g) + 261*g - 128*g - 132*g - 5*g**2.\nAnswer: -6*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 504 or 53820\/107?\nAnswer: 53820\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 3, o: 6, t: 9}. Give prob of sequence rt.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*12)\/(-6 - (1 - 5)). Suppose -3*q - 21 = -f, -30 = -4*n + 2*q. Solve -20 = -n*b, -4 = -2*m - 3*b + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 52.91?\nAnswer: 52.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l*l*l**(2\/3)*l)**(-27) assuming l is positive.\nAnswer: l**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + c + 179 - 196 = 0, 0 = 5*d - 3*c - 4. What is the biggest value in 0.4, d, 3, 0.039?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2962244.\nAnswer: 2, 740561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7696 and 57811.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + s = 0. Suppose s = -15*v + 20*v - 640. Is v a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531036773 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 2. Let s be v(2). Suppose -3 = -3*m + 4*r + 5, 3*m = 3*r + 9. Let u = s + m. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) 770.7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/((((-52)\/6396)\/(1\/(-9)))\/(-2))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1135 - -1134. Let c(x) = -10*x - 4. What is c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -603\/2 (b) 0 (c) -1.9 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -0.3 (c) 191 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 596 - -365. Suppose 0 = 5*g + 2*s - v, -8*g = -3*g - 5*s - 940. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(1\/9))*g\/(((g\/(g*g**(4\/5)\/g))\/g)\/g)*(g*g*g*(g\/g**10)\/g*g)**(2\/139) assuming g is positive.\nAnswer: g**(16279\/6255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(3) - sqrt(3))*-6.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 40\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -45. Let k = -1981 - -1977.4. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.8 - 51.4. Suppose -42 + 40 = -2*n. Suppose -4*m = z + n, 3*m + 0*z = -4*z - 4. What is the closest to m in 3, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 11968 = 45872. What is c rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 13*o - 3. Let r be v(-11). Let m = r - -11. Suppose 5*f + 2*a - 18 = -a, 3*f = 3*a + m. What is the lowest common multiple of f and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15\/7)*j**7*j\/j**9*j\/j**(1\/18) assuming j is positive.\nAnswer: j**(-277\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**2)\/h**(-1\/3)*((h*h**0)\/h)**47*h*h**(1\/9)*h\/((h*h**9*h*h)\/h*h)*h*h**5*h\/(h*(h\/(h*h**(-1\/13)))\/h) assuming h is positive.\nAnswer: h**(-425\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17328, 941 in descending order.\nAnswer: 17328, 941, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.8258 * -25.258\nAnswer: 20.8580564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by -110.\nAnswer: 127\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 125505876 to the power of 1\/2, to the nearest integer?\nAnswer: 11203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 385903 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/21 + (-20)\/(-3). Suppose -4 = -3*g + r*g. Let j be (0 - g)\/(1\/10). Solve m = -7*s + 4*s + 6, -5*s + 5*m = -j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2 and -41\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11.5. Let x = -71 + 71. Suppose u + 4 - 3 = x. Which is the second smallest value? (a) 1\/6 (b) u (c) f (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -8. Let c(n) = 46*n**2 + n. Does 14 divide c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 6}. Give prob of sequence uu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3360 and 120.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/24 - 7*b**3\/6 - b**2. Let g be z(-6). Let r(c) = -7*c**2 + 1. Determine r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - -15. Suppose o = t - 16. Suppose 44*z - 11 = t*z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 2 - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0511 less than -3205.65?\nAnswer: -3205.7011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -448, -615, -782, -949, -1116?\n\"Answer: -167*y - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -81*k**3 + k. Calculate b(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6, 0 = 3*j - 0*j - 3*c + 9. Let f = -3 - j. Let l be (1\/f)\/((-5)\/(-15)). Is -9\/7 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2\/8 - 325185*t\/8 + 39598551\/4 = 0. Calculate t.\nAnswer: -108638, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5) + (-10 - -11). Suppose 20 = -4*p, -2*w + 6*w - p - 181 = 0. Suppose -d*a + 2*h + 189 = 0, -26 = -2*a - 2*h + w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/(l\/(l\/(l*l\/(l*l\/(((((l*l**(11\/8)*l)\/l)\/l)\/l)\/l)*l))))*l)\/l))\/l)\/((l\/(l\/(l*l*l**33*l)))\/l))\/(l**16*l*l**10) assuming l is positive.\nAnswer: l**(-517\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 114, -309, -824, -1425, -2106, -2861, -3684?\nAnswer: -4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6359742, -4, 163 in descending order.\nAnswer: 163, -4, -6359742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8636893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12312, -23388, -34466, -45546, -56628, -67712, -78798?\n\"Answer: -d**2 - 11073*d - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*s + 355, -176 = s + 2*h - h. Let g = s + 292. Let -4*o**2 + 117*o + 2 + 2*o**4 - g*o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75899143*s - 5*s**3 + 75899143*s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30060*g + 30031*g - 60081*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 238, -3, -0.006 in increasing order.\nAnswer: -3, -0.006, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13232 - -32?\nAnswer: -13200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y**2 - 5*y + 5. Let u be p(1). Let d = 2 - u. Let z(h) = -2*h + 26. Let t be z(d). Which is the closest to -0.1? (a) -3\/7 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 4. Let g be -6 + 2 + 2 + -4. What is r(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*q + 146*q - 492330. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895560 (base 11) in base 10?\nAnswer: -3199064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q + 0*q)*(-745*q**3 + 745*q**3 + 24*q**4).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*n, -2*n - 3 + 1 = 4*k. Which is the nearest to -1? (a) 5\/4 (b) -0.4 (c) n (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9047 and 0.0681.\nAnswer: 616.1007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 4*i + 4. Suppose 3*y = -9, -n = -5*y - 6 - 5. Let l be t(n). Suppose l*m + 32500000 = -m. What is m rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20680 = -1583*n - 5639 + 30866 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 3.8, -0.4, -0.03, -0.1 in ascending order.\nAnswer: -0.4, -0.1, -0.03, 3\/7, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 5*x + 2. Let l be p(5). Let w(a) = a**2 - 8 + 5*a**2 - a**3 - l*a + 4*a. What are the prime factors of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*f**3 - f**3 - 2*f**2 + 0*f**2 + 30*f**3.\nAnswer: -108*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 827702.79 to the nearest 10000.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68773634?\nAnswer: 2, 23, 83, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -838 - -428?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 140\/64)\/(1\/2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 69*v**2 + 6*v - 6*v + 74*v**2 as l*v**2 + m*v + j and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2 - 4)*(-2*n**2 + 6*n**2 - 2*n**2) + 0*n**2 - 3*n**2 + n**2 + (-n**2 - n**2 + n**2)*(1 - 2 + 0).\nAnswer: -37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5\/2 + 6579*a**4 - 228528*a**3 + 437325*a**2 - 430749*a\/2 = 0. What is a?\nAnswer: 0, 1, 33, 4351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -99*y**3 + 133*y**2\/2 - 62*y. What is the first derivative of w(q) wrt q?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2, -13455 in ascending order.\nAnswer: -13455, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883797.\nAnswer: 3, 67, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-230)\/(-414)*2\/10. Let l = 34 + -63\/2. Sort 0.1, a, l.\nAnswer: 0.1, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -382 (c) -24 (d) 0.3 (e) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 7464 + 3730 + 3757 + 168*d)*(0*d + 0*d + d**2).\nAnswer: d**4 + 168*d**3 + 23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -830 divided by 10.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 275 from -12.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8565212517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Let s(p) = -8*p**2 + 20*p**2 - 16*p**2. Determine s(c(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -2\/3, -3, -8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2159, -2164, -2179, -2210, -2263, -2344?\n\"Answer: -y**3 + y**2 - y - 2158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -3.91. Let n = -0.21 - -0.2. Let c = t - n. What is the second smallest value in c, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 7461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d + 20*d + 5*d + (-2*d - d + d)*(2 + 1 - 1) to a*d + g and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and 104227.\nAnswer: -260567.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2081, 1977, 1819, 1613, 1365, 1081, 767?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b*b**(-2\/5)))**(-18\/11)*b*b**(-5)*b**(-2\/3)*b**(1\/3)\/(b*b\/b**(-2\/7)*b*b)*b**3\/((b\/(b*((b*b**(-5))\/b)\/b))\/b) assuming b is positive.\nAnswer: b**(-16801\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 152. Let k = 47.62 - y. Let p = 0.46 + k. Round p to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 193234*w**2 + 199112*w**2 as y*w**2 + h + z*w and give y.\nAnswer: 5878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-78)\/(-66) + 8\/(-44). Let x be (115650\/27)\/(d\/(-5400)). Round x to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85*-3)\/(5\/5)*(-267)\/4005?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23849 is divided by 173?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((-3)\/(-12)). Suppose -u = h - 7. Solve -h*f - 28 = 5*n - 4*f, 5*n + 16 = 3*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111111 + 101010101010010110011?\nAnswer: 101010101100101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14122*y - 97648 = 12686*y for y.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4722207 kilometers in nanometers?\nAnswer: 472220700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771045 = 60*h - 417975. Is h a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20066374 and 2104.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = 4*p, -8*n + 3*n + 20 = 0. Which is the second biggest value? (a) p (b) 5\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 52 = 73. What is the remainder when 84 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i + 999 - 334 - 332 + 7*i**2 - 329 to the form m*i + k + v*i**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -208. Let l = p + -142.000097. Round l to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/5 - 0. Let y = -0.2 + 0.1. Which is the nearest to y? (a) -4 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 700 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2 - 377*q + 3157 wrt q?\nAnswer: 4*q - 377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6139 + -6076. What is the nearest to 7\/5 in -1\/4, z, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1466*l**3 - 3*l**2 + 25*l + 7. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**2 - 4*p. Let t(z) = -23*z**2 - 11*z. Suppose -5*l = 6 + 14. Calculate l*t(d) + 11*a(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10025387431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhu when three letters picked without replacement from hufnnfugufnfnfgufuuf?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 131.116ml?\nAnswer: 0.131116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176797?\nAnswer: 3, 7, 103657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6) + (-4)\/(-2) + -2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.99 - 55.9915566. Round k to 5 decimal places.\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.2, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 - 612*u**3 + 5812*u**2 + 62388*u - 67592 = 0. Calculate u.\nAnswer: -7, 1, 17, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -65*m + 25. Let s(y) = -8*y + 3. Let o = -1003 - -1028. Calculate o*s(b) - 3*p(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/7 + 1629*p**4 + 10976394*p**3\/7 + 265687272*p**2\/7 - 222844416*p + 1283235840\/7 = 0. Calculate p.\nAnswer: -1888, -30, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/(-4))\/(1 + 18\/(-12)). Calculate the highest common factor of 121 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 4. Let n be p(2). Let k be n*(-1)\/(-4) - 5\/(-1). Find the third derivative of 12*z**2 + 4*z**2 + 0*z**2 - 12*z**k + 0*z**5 wrt z.\nAnswer: -720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116354 - 54221035\/466. Calculate the common denominator of -34\/9 and n.\nAnswer: 4194","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 {v: 2, s: 5, e: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17094*g**4*h*z - 95*g**4*h - 4*g*h*z - 2*g*h - g*z - 1215*h*z - 2*z wrt g.\nAnswer: 205128*g**2*h*z - 1140*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**5\/210 + g**4\/84 - g**2\/2 + 3. Let a(o) be the second derivative of n(o). Find q such that a(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/191757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(156)*3*1)\/(-5*-5*3*sqrt(1200)).\nAnswer: -3*sqrt(13)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1927*r + 1877*r - 450 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q - q + 0*q + 44*q - 530 + 530 + (-4*q + 3*q + 2*q)*(-3 + 2 + 2) + q + 5*q - 3*q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.261 and -0.1.\nAnswer: 0.2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35280 and 6768.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 2)*(11*x**5 - 13*x**5 - 3*x - 4*x).\nAnswer: -10*x**5 - 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 10. Suppose -3*n = -10*n. Suppose n = f - 2*f - 2*d - 8, -4*f - 10 = -3*d. Calculate the remainder when 9 is divided by y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3 + 1 + 1 - 7*q. Calculate the remainder when (2\/(-5))\/(12\/(-2520)*6) is divided by w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*x, -2*t + 1164 - 1161 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2702291*i**4 - 77843526*i**2 wrt i.\nAnswer: -64854984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 510*v - 2101. Calculate n(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 126689?\nAnswer: 1013512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 96, 99?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 1. What is z(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 1) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nanbnnffaafbgbbfbnfw. Give prob of sequence gna.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -34, -46, -58, -70, -82?\n\"Answer: -12*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oudfudccdccdzu. Give prob of sequence ccz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 827159401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210262.\nAnswer: 2, 13, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21270, -52185, -83100, -114015, -144930?\n\"Answer: -30915*h + 9645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 - 338*n**2\/7 + 1088*n + 10080.\nAnswer: 2*(n - 140)*(n - 36)*(n + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822166788.\nAnswer: 2, 3, 37, 1851727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, s: 4, q: 1, i: 2}. What is prob of sequence ss?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((63\/7)\/(7\/14*3))\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-4))\/(1\/1). Suppose 4*y + 3*l - 2048 = i, 2*y - 513 = y - l. Let j = -322 + y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179953.\nAnswer: 179953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8813 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1424*j**2 + 2031*j.\nAnswer: 2848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148849581 + -148840320.9997. Let h = 9248 - s. Let w = h - -12. What is w rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1009 or 0?\nAnswer: 1009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11319 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -748238.\nAnswer: 2\/374119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -566*q + 569*q - 2*d, 2*d = -q + 37. Calculate the remainder when 132 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 106\/(-2) - (1 - -1). Let w = -26 - b. Calculate the remainder when w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 - z + 2. Let i be -4 + (40\/(-24))\/(10\/(-12)). Let c(w) = 3*w**2 + 1. Determine i*l(p) + 5*c(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + k = -2, -31*k = -2*t - 35*k - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*87\/203?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-36)\/15*560\/42. Let g = r + -218. Solve g*t - 20 = 4*t + 4*f, t + 3*f + 15 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l*q**5*z + 34*l*q**2 - 27*l*q*z + 105*q**4*z + q**3 wrt q.\nAnswer: 240*l*q**2*z + 2520*q*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 3293*x**3 + x - x - 30525*x**3.\nAnswer: -27232*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2143401241 (base 5) to base 3.\nAnswer: -22210012120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9))**12)**(-2\/81)*(w**2*w*w*w*w**(1\/14)\/w*w)\/(w**1*w*w*w)**(-16\/3) assuming w is positive.\nAnswer: w**(89605\/3402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -37 (c) 9 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*g + 5*n, 2*g - 2*n + 6*n = 12. Suppose 0 = -v + g*v - 3*h - 102, h + 186 = 5*v. Calculate the highest common divisor of v and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*-2*(-2)\/24. Let r = o + 2. What is the remainder when 25 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.01, -21\/8?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11043828*k**4 - 329590*k**2 + 61*k wrt k.\nAnswer: -265051872*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmppmmm. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -3*u + 26, t - 10 = -5*u. What is the tens digit of ((-297)\/(-45))\/((-1)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) 0.14 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3 + 2436082*j**2 + 2*j + 41865869 wrt j?\nAnswer: -3*j**2 + 4872164*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 102. Solve -g*m + 14 = -9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 135134?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 866*m - 26 = 853*m. Let w(z) be the third derivative of -11*z**m + 0*z + 0*z**3 + 0 - 5\/8*z**4 - 1\/24*z**6 + 1\/42*z**7 - 5\/12*z**5. Factor w(v).\nAnswer: 5*v*(v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-3800)*50)\/(2\/(-10)*-1)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = b + 3*n - 934, b - 1035 = -5*n. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 6165, 0.1, 1\/35 in ascending order.\nAnswer: -20, 1\/35, 0.1, 6165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -66*d - 1. Let l(a) = 67*a. Let u(c) = -5*l(c) - 4*w(c). Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/101)*a)\/a**(-11)*(a*a*a**(-6\/11))**(8\/15) assuming a is positive.\nAnswer: a**(229903\/16665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19355 (base 10) to base 15.\nAnswer: -5b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 291*z - 65. Let f be c(46). Suppose 56308 - f = 21*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 19*u**2 + 56*u + 319. Give k(-11).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 1.5. Let u = -5.02 - -0.02. Let i = 1626 + -1628. Which is the nearest to i? (a) u (b) -3\/8 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (421 - 185 + 484)*(-21 + 1 + 8*b - 7*b).\nAnswer: 720*b - 14400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15794197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 660435750 a multiple of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 11*m**2 - 2*m + 2127. What is the hundreds digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29648736 or 29648735?\nAnswer: 29648735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219871023?\nAnswer: 7, 17, 86143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k - 819. Let c(n) = 91. Let f(x) = 18*c(x) + 2*l(x). Let u(y) = -40*y + 3. Give u(f(r)).\nAnswer: 800*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2)*-2 + -70. Let q = 106 + b. Suppose i + 2*i + q = 5*s, 15 = -5*i. Solve -s*a = 4*o + o - 20, 0 = -5*a + 3*o + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.915 and -4.5.\nAnswer: -58.1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4cb79 (base 16) in base 12?\nAnswer: 131a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -25 - (-39)\/6)\/((-3)\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19\/2)\/((-3)\/(-6)). Suppose -2*a - 2*a + 16 = 2*r, 0 = -5*r - 3*a + y. Suppose -12*n = -r - 22. Solve -3*f = -i + 13, 2*f + 7*i - n*i = -3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -73*u + 25*u + 3*q + 399, -2*q = u - 2 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-3)\/(-5))\/(15\/75). Let s(b) = -b**2 - 6*b - 6. Let o be s(-4). Is -2 + o - c - -78 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from scscscsccs.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/11 and 31\/7567.\nAnswer: 83237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*o + 100 = 0, 2*w - 8 + 48 = -2*o. Let s = w + 24. Solve -2*v + s = -x + 7, -3*v + 6 = -5*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 169? (a) 2 (b) 932 (c) -0.4 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 86*m + 7. Let z(q) = -29*q + 2. Determine 2*j(g) - 7*z(g).\nAnswer: -2*g**2 + 31*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -411*b**3 - 3579*b.\nAnswer: -2466*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 148719092.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*n + 3*t, -2*n + 6*n - 132 = 4*t. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*j - b - b, -2*j + 2*b - 10 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + w)*(2 + 90*w + 49*w - 18*w).\nAnswer: 121*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 197 = 1901. Let x = s - -588. Solve -62*p = -67*p - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 803\/77)*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/23556032 and -87\/123008?\nAnswer: 47112064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 7*m + 2. Let w = 6598 - 6587. Give o(w).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83741037 divided by 7.\nAnswer: 83741037\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 168 + 232?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i)*(3*i - 4*i - i) + (i + 0*i + i)*((1 + 0 + 0)*(i - 2*i + 2*i) + i + 0 + 0) - 581*i**2 + 266384*i - 266384*i.\nAnswer: -579*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 21*b = 16*b - 186. Solve 0 = 5*z + b - 37 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q = -9. Suppose 4*h - 10 = q*h. Let c be -3*(-1 - h\/3). Solve c = -2*i - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/34*-1 - 476900\/7650. Let j = -62 - v. Which is the second biggest value? (a) 0 (b) 0.5 (c) j (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3199 (b) -1 (c) 0 (d) -1\/3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28428*r**4 - 7679?\nAnswer: 113712*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6091, 22365, 49487, 87457, 136275, 195941?\n\"Answer: 5424*a**2 + 2*a + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 694 + -693.8148. Let v = l + 1.3058. Let o = 1.5 - v. Round o to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 5*a**3 - 5*a**4 - 1 + 1 + a**4 + (4*a + a - 4*a)*(4*a**3 - 5*a**3 - a**3).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = t + 3, 5*x + 4 = x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**6\/6 + r**5\/5 - 15*r**4\/4 + 23*r**3\/3 - 5*r**2 - 1052. Factor w(d).\nAnswer: d*(d - 2)*(d - 1)**2*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l + 339. Give f(-56).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**3 + 0 - 19\/30*b**6 + 17*b**2 + 0*b**4 + 0*b**5 - 34*b. Differentiate w(u) with respect to u.\nAnswer: -76*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 2*y**5\/15 - y**4\/3 - 8*y**2. Find the second derivative of q(w) wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 2. Suppose 16 = -7*l + 37. Suppose -2*b + 26 = -2*q, l*q + 41 + 2 = 5*b. What is r(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -63, -61?\n\"Answer: 2*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 23. Calculate the least common multiple of j and 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/30 + d**4\/6 - 2*d**3\/3 + 8*d**2 + 160. Give f(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1390, -1389, -1388, -1387, -1386, -1385?\n\"Answer: b - 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q - 22. Let d(u) = 9*u - 23. Let y(b) = -2*d(b) + 3*r(b). Let s be y(4). Let t(f) = -4 + 0*f + s - 2*f. Let o(m) = -8*m**2. What is t(o(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 38*o**3 - 4*o**2 + 7*o - 3. Let j be w(1). Let k(f) = -f**3 + 39*f**2 - 35*f - 116. Determine k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 85*p**2 - 81*p**2 - p - 1 + 2 + 6 to j*p + u + g*p**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.414, -0.2, 0, -2, -5 in decreasing order.\nAnswer: 0.414, 0, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 33 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k = 4*c + 8, 4*c - 1 = -k. Put -3, 34, c in descending order.\nAnswer: 34, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 254)\/(1610\/(-644))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*t**3 - 5462 - 2*t**2 + 61*t**3 + 229*t**3 + 5458 + 105*t**3.\nAnswer: 463*t**3 - 2*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g**6)\/(g**(2\/3)\/g)**(-19))\/(((g**4\/g)\/(g\/g**0))\/((g\/((g\/g**(-4\/5))\/g))\/(g*g\/(g*g**(2\/9))))) assuming g is positive.\nAnswer: g**(-311\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = -12. Let q = -15044\/19 + 792. Let u = 5\/114 - q. Which is the second biggest value? (a) u (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d + 65*d = 6*c + 474, 2*d + c - 28 = 75 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*p**2 + p**2 - 2*p**2)*(2*p - 4*p + p) + (p**2 - 5*p**2 + 2*p**2)*(p + 0*p - 3*p))*(-5 + 6 + 4 + (-4 - 2 - 3)*(2 + 3 - 4)).\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286.1 - 285.9. What is the closest to z in -0.36, 3, -12, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-975)\/225 - 377\/(-39)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -i + 2*h, -5*i + h = -48. Let q = i - 4. Suppose -4*a = -q*a - z + 12, 3*a - z = 18. Calculate the highest common divisor of a and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20*-22)\/(7\/35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*u - 7 = 23, -4*j + 23 = 3*u. What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 625, -1, -6, -37, 4 in descending order.\nAnswer: 625, 4, -1, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -5.58. Let n = -0.88 - x. Let o = -5 - -11\/2. Which is the closest to -0.1? (a) n (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -45.999942. Round n to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294229348 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - t - 4 = t, -15 = -5*t. Suppose 3*d - 35 = -g, z*g - 4*d = -g + 144. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/20 - 5*h**4\/6 - 3*h**3\/2 + 9*h**2\/2 - 10*h. What is the lowest common multiple of 4 and c(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from sitihioiiohwiwh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -1.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -50. Let f be (58\/9 - k)*1*3. What is the third biggest value in 1, 2\/13, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4675575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 49864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 - 360. Let c be t\/27 + 2\/9. Let l be ((-2)\/c)\/((-7)\/(-42)). Solve 2*u + b = 6*u, -3*b = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*x**2 + 6\/7*x - 5\/7 = 0. Calculate x.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/160 + 19*c**4\/2 - 5776*c**3 - 10139*c**2. Find i, given that h(i) = 0.\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/(5\/450). Suppose -3*f + 1 = d - 11, n = 2*d + 2*f. Suppose 0 = -d*a + 24*a - 144. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 243 = 51. 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: Calculate the least common multiple of 291275404 and 7084.\nAnswer: 3204029444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 88619575 and -48.5.\nAnswer: 88619526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/24)\/((-1)\/18). Let f be (-1)\/k - 1\/4. Which is the closest to -2? (a) -0.1 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99494 is divided by 737.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**3\/3 + 3*m**2\/2 + 6*m - 9. Let d(a) = a**2 - 1. Let g(w) = -3*d(w) - o(w). Give g(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*l = 43 + 50, 2*w - 42 = -2*l. Suppose w = 13*h - 9. Solve -5*r = 10, -j - 4 = 5*r + h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.9 from -7665200564176.\nAnswer: -7665200564173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3557*f + 2721. List the prime factors of a(-12).\nAnswer: 3, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1098, 1114, 1142, 1188, 1258, 1358, 1494?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23.7, -5997, 1\/2 in ascending order.\nAnswer: -5997, 1\/2, 23.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20203608 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 24 + 71 - 90693*x**3.\nAnswer: -90693*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -762 by 6.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Suppose 2*w + l*w = 2*u - 140, 4*w = u - 73. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*g - 2*g + 17, -5*q = -4*g - 33 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3433*m - 2. Let w(b) = -2*b**2. Determine w(y(r)).\nAnswer: -23570978*r**2 - 27464*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -339.65752 + 0.17752. Round h to the nearest integer.\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.37, 0.2177, -0.5, 0.22?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 473*l**2 - l - 4. Let i be h(9). Round i to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 549 and 90828939.\nAnswer: 272486817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 127 = -t - 544, t - 563 = 4*s. Let i = -109 - s. What is the derivative of 57 - 41*p**2 - 65 + i wrt p?\nAnswer: -82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4287, 8563, 12839, 17115, 21391?\nAnswer: 25667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65, -1054, -3733, -8942, -17521?\n\"Answer: -140*o**3 - 5*o**2 + 6*o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 + 10*i**2 - 5*i**2. Let h(s) be the first derivative of s**3 - 4. Calculate h(k(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + m + 7, -3*m - 29 = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 + 157. Let y = 5 + -5.3. Which is the second biggest value? (a) y (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6122327?\nAnswer: 6122327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/2)))**42\/(b*b**(2\/3))**(6\/25) assuming b is positive.\nAnswer: b**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 3. Let c be q(-4). Suppose 18 = c*x - 2. Suppose 2*t - x*t = -70. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 271704564.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 + 282. Let t = 90 - l. Which is the closest to 0.1? (a) 3 (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/6)\/d*d\/d**11*(d\/d**(-25))**(-29) assuming d is positive.\nAnswer: d**(-4585\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 12:29 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 539*v - 538*v - 10, v = -4*o - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**2 + 6*z - 2. Let y(k) = 29*k**2 + 17*k - 6. Let s(r) = -17*o(r) + 6*y(r). Differentiate s(h) with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*m - 5 - 19, 27 = 4*m + 5*s. Suppose m + 1 = x, 2*x = j + 42. Let n = j + 83. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4*15\/150))\/(-12).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2881004255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.988521302 and -1395.\nAnswer: -1390.011478698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1882597 and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-24)*-4 - 2)*(-91)\/(3367\/370)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.401453*11.\nAnswer: 26.415983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 83*x + 1558. Give g(-20).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/1092)\/((-38)\/(-18) - 2). Let h = 0.06 - -0.24. Let z = h + -1.3. Put c, 3, z in ascending order.\nAnswer: z, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by 69?\nAnswer: -174\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 340236.\nAnswer: 2381652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 7 + 15, -4*k = -h - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-21))\/((-2)\/14). Let s(v) = 10 - 2 + v**2 - 1 - 4*v. Calculate the remainder when s(n) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 - 298. Solve 0 = 4*k - 0*g + g + 5, 4*k - 10 = i*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 4*c**2 - c - 4. Suppose 21 = v - 5*k - 9, 0 = 4*v + 5*k - 45. Suppose 4*r + 4*b - 27 = -b, -2*r - b = -v. Suppose 0 = 3*h - 4 - r. Give j(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(1452) + sqrt(1452)*1).\nAnswer: sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.25 - 11.39. Which is the nearest to -2? (a) -0.2 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*i + 1537 - 1550 = 0, 2*i = -z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2269 less than 4\/861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 442*r**2 + 14*r - 19. Is n(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 111 = 3*b. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - 10) + 39 + 253\/28\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + (3 - (7 + -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (23\/(-2))\/(1\/(-12)) is divided by (-18841)\/(-664) + 3\/(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-288)*-1*(-18)\/(-96))\/((-2)\/(-15))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 5. Let o(l) = 10*l + 12. Suppose -3*t + 48 = t. Determine t*k(z) - 5*o(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 230750 divided by 46150\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, c: 2, x: 4, i: 1, d: 5}. What is prob of picking 1 i, 1 d, 1 x, and 1 s?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21\/14*((-4)\/9)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/2 - 35\/6. Let z = 712 - 6410\/9. Is z at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 10*r**2 + 10*r - 4. Let k be w(9). Suppose m - 11 = 3*q - 0, k*m - 23 = -q. Is q not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 5*x + 24. Suppose w - 2*i = 3*w - 18, 2*w + 4*i = x. Solve 4*k + 2 = l, -3*k + w*l = -4 + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-22) + 13\/(-11). Let r be (15\/(-25))\/(s\/5 - 0). Factor -2\/9*a**4 + 4\/9*a + 2\/9 + 0*a**2 - 4\/9*a**r.\nAnswer: -2*(a - 1)*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from 0.603.\nAnswer: 19.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 14 = -37*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 7*c. Let w be s(-3). Suppose -17*x + 10 = -w. Solve -x*z + 9 + 11 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2840915\/108 - -26304. Find the common denominator of -77\/195 and t.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -50 + 13 + 7*y - 9. Let g be m(7). Solve -g*j - 5*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23972329 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39587 = -1235*b - 78498 - 30115 for b.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s - 18. Let l(q) = 8*q + 1. Let i(r) = -15*r - 2. Determine s*l(g) - 6*i(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1559520)\/(-297) + 22 + (-12)\/(-11). Calculate the highest common factor of u and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/18 and -109\/1520?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 952 + -931. Calculate the highest common factor of j and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/7 + 429092*j = 0. Calculate j.\nAnswer: -1501822, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -238048, 8 in descending order.\nAnswer: 8, 5, -238048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 81, 125, 167, 207?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = v + 20, z + 4 = 2*z + 4*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, z: 1}. Give prob of sequence lzw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*c - 120, 4*c - 85 = 3*k + 38. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from dlld?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 30*p**2 + 114*p - 827. Calculate m(25).\nAnswer: -1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 + -6 - -30) + -5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39254 - 39254 - 6*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 18 = -3*o - 0*y, 3*y = -15. Calculate the remainder when 11 is divided by -7*(o - 5\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -545.25 * 0.4.\nAnswer: -218.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 39*y - 44*y. Find the third derivative of 24*l**3 + 15*l**3 - 19*l**3 + y*l**3 - 47*l**2 wrt l.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(147) + -4).\nAnswer: -14*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -11. Let c = 10 - u. List the prime factors of -1 - 0 - c*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -95, -218651 in ascending order.\nAnswer: -218651, -95, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.67284784 plus 105.4?\nAnswer: -103.27284784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 9*n - 2*k + 8, 0 = n + 4*k - 14. Let w be 2*9 + 4\/(-2). Solve 2*l + n*l = -w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 5*q**3 + 4*q**2)*(-2 + 1 - 1).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 3}. What is prob of sequence sff?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159*1*(-4)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(sqrt(8)\/sqrt(4))**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 + 4*h - 10. Determine o(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 34\/5. Factor 0*n + 1\/5*n**2 - z.\nAnswer: (n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.098, 0.03, 191\/10, 0?\nAnswer: -2.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4377940 and -41\/1120.\nAnswer: 35023520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 - 2*g - 2. Let a be z(3). Let t be 2\/2 - (-1218)\/2. Suppose a = 5*o, t = 3*c + c - 5*o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 2 + (25 - 25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601640?\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 6. Let y be h(-4). Suppose -1 = 4*k + g + y, k = 3*g + 9. Suppose k*n + 3*n = 39. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1243 + -1240. Solve 0*l = 2*l - h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 2\/15, -35, -1\/4.\nAnswer: -35, -3, -0.5, -1\/4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 580139*i - 733785 wrt i.\nAnswer: 580139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15409, 13544, 11679, 9814, 7949?\n\"Answer: -1865*h + 17274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 4, -3.\nAnswer: -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253005551 (base 6) to base 13.\nAnswer: -1027513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/15 (b) 3 (c) -3\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a - 3. Let t be j(5). Let z = t - -3. Let y(k) = k**2 - 2*k + 6. List the prime factors of y(z).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 199680 and 219.\nAnswer: 14576640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1904 by -4.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u + 9. Let j(f) = -1. Let i(l) = -6*j(l) - q(l). Determine i(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48 and 0.238.\nAnswer: -11.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*f - 15. Is 12 a factor of (f\/10)\/(1\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -124*x + 155. Let t(m) = -122*m + 133. Let c(n) = 6*d(n) - 7*t(n). Let y(l) = 2*l**2. Give y(c(p)).\nAnswer: 24200*p**2 - 440*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1956 - 0.19. Round o to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.6143 years to decades.\nAnswer: 9.56143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6875645?\nAnswer: 5, 7, 31, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788874.\nAnswer: 2, 11, 109, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-11\/5))*u*u**4*(u*((u**(1\/3)*u)\/u)\/u*u)\/u**(-7\/3))**(-45))**(2\/45) assuming u is positive.\nAnswer: u**(-194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 263 in 0, -3, 2, 17.7?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27\/8? (a) -0.2 (b) -4 (c) -623\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*p + 25*p - 2208. What is the greatest common divisor of 61 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13349047.32us to weeks.\nAnswer: 0.0000220718375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 39. Suppose 5*o = 5 + s. Suppose 2*r - 161 = -2*r + o*j, -2*r + 73 = 5*j. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 798 divided by 114\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*u = 36*u - 298*u - 1512 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*c + 111 - 111)*(-6 + 6 - 3*c) + (0 - 3 + 2)*(1 - 1 + c**2) + (-3*c - 3*c + 7*c)*(2*c + 1 - 1).\nAnswer: -221*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 75 + 67 = 0. Solve -6*v + q*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6.8, 5\/3, -14\/233, 9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/2 - 1)\/(-1 + -6). Suppose w + 6 = -k - 4*k, 3*w = -3. Which is the nearest to 1? (a) p (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627.094 centuries in months?\nAnswer: 1952512.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -35a63?\nAnswer: 35a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1049*h**2 - h - 44. Let z(t) = -2099*t**2 - 90. Let c(u) = -7*o(u) + 3*z(u). Find the second derivative of c(r) wrt r.\nAnswer: 2092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17082909 to 3 decimal places.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**3\/3 + 456*a. Let x(q) = -56*q**2. Give u(x(w)).\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*u - u = -150, -4*u = -4*b - 140. Let g = -26 - b. Find the second derivative of 10*p + 10*p**2 - g*p**2 - 15*p**2 + 9*p wrt p.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 45*f**3 + 138*f**2 - 288*f - 384.\nAnswer: 3*(f - 2)*(f + 1)*(f + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 945 = 9*s. Let i = 339 + s. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 4. Let q be b(6). Let r = q + 1. Suppose l + 4*a = r*l + 84, a = 3*l + 146. What is the common denominator of 16\/9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-3 - 0 - -14) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/54 + 2*d**3\/9 + d**2 + d. Factor h(z).\nAnswer: 2*(z + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - t = 27, 43*g - 1 = 44*g - 20*t + 23*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86242791109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 8*i**2 + 3*i + 29. Let r be c(-8). Suppose -6*w + r*u = -3*w - 2969, 2011 = 2*w + 3*u. List the prime factors of w.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3404908 is divided by 850849.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12947113 to the nearest integer?\nAnswer: 3598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 - f. Let b be z(-4). What is the common denominator of b + ((-5)\/(-45) - 2) and 48\/240 + (-814)\/(-180)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - 6 - (8 + 0 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 235, -5 in ascending order.\nAnswer: -5, 0, 5, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 6675 = 16*l - k, l = -2*k + 1324. Calculate the greatest common divisor of 322 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074093002 to the power of 1\/2, to the nearest integer?\nAnswer: 45542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 216.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 + 1122?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1*sqrt(176))\/(5*(sqrt(8)\/sqrt(2) + sqrt(4))) - (1 + sqrt(99)*-2 + -5).\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45898157453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 32. Suppose -4*k + 2*r - 32 = 0, 20 = -4*k + 29*r - 30*r. Put -3, k, a, -1 in increasing order.\nAnswer: k, -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -128*i. Let o(m) be the first derivative of -5*m**2\/2 + 209. Give z(o(l)).\nAnswer: 640*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from wrrwrrr.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2760\/6 - (-3 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104.1 - 105.1. Let l = -5 + 4. What is the closest to l in u, -0.2, -0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1290\/17 + -20215\/272. Calculate the common denominator of c and -49\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((8 - 4) + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9500052.\nAnswer: 2, 3, 29, 27299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6270 is divided by 369.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 13. Suppose -7*c + y*c - 6 = 0. What is the units digit of -3 - ((-6)\/c + -26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1874480 divided by 5\nAnswer: -374896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**6\/2 + 144*p**5\/5 + 915*p**4\/4 + 758*p**3 + 1242*p**2 + 984*p + 5832. Factor v(c).\nAnswer: 3*(c + 1)*(c + 2)**3*(c + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1160364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141642340 by 7607.\nAnswer: 18620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let r(j) = j**2 + 9*j + 29. Let k be r(-6). Suppose 2*f - g = 58, -5*f - g + 154 = g. Let q(i) = k*i**2 + 30*i - f*i. Calculate b(q(u)).\nAnswer: -242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 3. Let s(y) = -3*y + 1. Let z(f) = f - 1. Let l(w) = s(w) + 2*z(w). Let o(c) = 4*l(c) + r(c). What is the first derivative of o(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 61999961 = 4*x + o, 0 = -2*x + 5*o + 61999965. Suppose z = -3*h - h + 24799995, x = 5*h + 4*z. What is h rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (6\/(-10))\/(1356\/(-2938) - 1087\/(-2665))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164250943 is divided by 2245.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaoa when four letters picked without replacement from kkkkakaaoakakkoqkkk?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47339 is divided by 21666?\nAnswer: 4007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 266167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 17*z**2 + 23*z - 19. Let x be b(-15). Suppose 0 = 4*p - 2*f - 60, 5*p - 2*f + 13 = x. What is the remainder when 64 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -29*x + 35*x - 168751. What are the prime factors of x?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 + 4*a**2 - 3*a**2 + 0*a**2. Let h(u) = 112*u**2 - 49. Let v(q) = 7*q**2 - 3. Let t(y) = 3*h(y) - 49*v(y). What is t(r(p))?\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*s + 1075 = -671*s - 645*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1978*k - 1972*k + 78 = 0 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*n**5 + 10*n - 1?\nAnswer: -2820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Suppose -d*h - h = 0. Solve -5*p + 5 = h, 0 = z - 2*z - 3*p + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 783*i**4 - 7017*i**3 + 20871*i**2 - 20331*i - 810.\nAnswer: 3*(i - 3)**3*(261*i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673, -700, -727, -754?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 4, r: 1, b: 5, z: 1}. Give prob of picking 1 g, 1 m, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8157 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -235*m**3 + 6*m**2 + 13*m. Let c be f(-8). What is c rounded to the nearest one thousand?\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6759.792 - 6718. Let n = 50.1 + -8.1. Let f = n - m. Round f to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1 - -2)\/(4 + -2). Suppose -u*j - 4*j = -222. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122357.\nAnswer: 3, 17, 59, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 35*f**2 - 5*f + 4. Calculate j(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:14 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -43. Let y(u) = u**2 + 15*u - 13. Let t be y(-14). Let f = z + t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 n when four letters picked without replacement from {p: 3, n: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 != 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1130 + -1091. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19641659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968 a factor of 72401599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 9764655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 95.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, -1, 3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6025 - 5367. What is the highest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 - 8*y - 9. Let v be z(-6). Let b be 845\/(-91) + 6\/21. Let u be (16 + -20)*(-1 + 2). Put 4, b, v, u in descending order.\nAnswer: 4, v, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2755 + 2760. Let d be ((-6)\/(-10))\/(1\/5). Suppose d*m - 5 = -2*p, 0 = 4*m + 5*p - 2. Put 2\/11, f, m in descending order.\nAnswer: f, m, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947 = 299*r + 1744 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4705, -9393, -14085, -18781, -23481?\nAnswer: -28185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -350315305*d**4 - 76676157*d?\nAnswer: -4203783660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2456)\/(-12) - 1\/(-3). Suppose 0 = 3*r + 2*u - p, -r + 72 = -u - 2*u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3455151 - 1995171. Suppose 12*y = 1432020 + g. What is y rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8960)\/208 + 27 + (-1)\/(-13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -1*sqrt(931)))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2900)\/435*((-18)\/(-16))\/(3\/12*-1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y. Suppose 5*o + 3*z = 398, y = 3*o - 2*z + 47 - 282. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083, 8356, 18833, 33514?\nAnswer: 52399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-110)\/33*63\/4. Let c = 52 + j. Which is smaller: 10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184990000 rounded to the nearest one million?\nAnswer: -185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 5, -1 in ascending order.\nAnswer: -3, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4444*q**4 - 37*q**3 + 863*q**2 - 7?\nAnswer: -106656*q - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 451*o**5 + 4*o**4 + 17*o**2 - 4*o - 29. Let f(c) = c**5 + c**4 - c + 1. Let n(r) = 4*f(r) - g(r). What is the third derivative of n(j) wrt j?\nAnswer: -26820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 29*n. Let z(m) be the second derivative of -10*m**3 - 2 + 2*m + 22*m + 11*m**3. Calculate r(z(c)).\nAnswer: 174*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 300001*g**2 - 12*g + 20. Let d be s(10). Round d to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20\/9*v + 0 + 2\/3*v**2 - 2\/9*v**3 = 0 for v.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 15 in descending order.\nAnswer: 15, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -802022?\nAnswer: -802023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1543 - -1548 - (-3 - (59 - -1)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/15 - (3 - 72). What is the greatest common divisor of 37 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + -0.19. Let j(o) = 81*o**2 - 164*o + 9. Let i be j(2). Sort i, -1, -0.4, c in increasing order.\nAnswer: -1, -0.4, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 164 = -228 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2211122112202 (base 3) to base 15\nAnswer: 1ec04e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43778 + -43213.93. Let u = f - 556. What is u rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29165, 29162, 29159?\n\"Answer: -3*j + 29168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(0 - -1) + 5. Let g be (-2)\/8*(-8)\/18. Let f be 0 + 0 + (-6)\/21. Which is the closest to f? (a) z (b) g (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2) + -1)*(-1 - -3). Put 25, l, -4 in ascending order.\nAnswer: -4, l, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.87 + 1.87. What is the nearest to 0 in -3, 2\/37, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3664605.4*-0.3.\nAnswer: 1099381.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from jpj?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*l = -2*t - 905*l + 2, -3*t - 4*l = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmmmqhqmhhmw. What is prob of sequence hm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22590 and 107930.\nAnswer: 971370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8338 - 5808 = 46*l for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-14))\/(2\/(-8)*(-3)\/12*-24)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, 460, 6, 0.5.\nAnswer: -1\/3, 0.5, 5, 6, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 8*m**2 - 9*m + 81. Let i(v) = 2*v**3 - 10*v**2 + 11*v - 79. What is -4*i(r) - 5*t(r)?\nAnswer: -3*r**3 + r - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 3*s**2 + s + 1. Let y be p(-3). Let d(m) = -146*m**3 + 2*m**2 + 2*m + 2. What is the tens digit of d(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*((-16)\/12)\/(-4))\/((-19)\/19)*201.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let i(y) = y - 1. Let d(l) = 8*l + 173. Let t be d(-20). Suppose 9*z - 5*j = 13*z + t, -j = z + 3. Give z*i(r) + 5*w(r).\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245 - 15*j**3 - 57*j**3 - 1245 - 13*j**3.\nAnswer: -85*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6290.854 days?\nAnswer: 543529785.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvjofqoqqqjqqvqfx. Give prob of sequence vfq.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26847, -26863, -26891, -26931, -26983, -27047, -27123?\nAnswer: -27211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, j: 6, x: 4}. What is prob of picking 4 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 32*p**2 - 54*p + 6. Let a(b) = -96*b**2 + 153*b - 17. Let l(c) = -6*a(c) - 17*f(c). Let t(d) = -2*d**2. Calculate l(t(u)).\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 78 = -5*c, -2*v - 3*c - 239 + 62 = 0. Let u = v + 183. Let o = 152 - u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 0.6, -2\/3, 4\/3, 0.25, 1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gizzxgixg. Give prob of sequence zi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 351*k + 4. Let t(p) = 571*p. Calculate t(n(b)).\nAnswer: 200421*b + 2284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 18592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*a**2 + 7*a**2 - 87*a**3 - 5*a**2 + 334*a**3 to the form z*a + k*a**3 + r*a**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 380246036 * 3.\nAnswer: 1140738108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 75 - 173762?\nAnswer: -1736dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 30 + 86*c)*(-2 + 6 - 2)*(2*c + 0*c - 4*c).\nAnswer: -344*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106\/((-11660)\/462)*(-2)\/((-24)\/15)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4 = 2*q + 8, q = 3*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -8510859 and -0.04.\nAnswer: -8510859.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833*n - 9 = -830*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68854*d**4 + 2 - 3*d**3 + 0*d**2 - 68852*d**4 - d + 5*d**2 to the form h*d + u + g*d**3 + b*d**2 + x*d**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m - 3. Let k be c(-4). Let y be (-31)\/(-1) - k*-1. Let j = y - 21. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287716989 to the power of 1\/3, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2542, 1, 37.\nAnswer: -1\/7, 1, 37, 2542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5831 divided by -3\nAnswer: -5831\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 15*x + 14. Let f be r(16). Let v be (f - 0)\/((-2)\/3). Solve v*d - 10 = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -169*m + 171*m + 552. Let r = 393 + m. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 133, 498, 1225, 2434, 4245, 6778?\nAnswer: 10153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*(y*(y\/(y*y\/y**(2\/5)))\/y*y)\/y)\/y*y)*y\/(y\/(y**8\/y*y))*y**(-1)\/y**(4\/5) assuming y is positive.\nAnswer: y**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohhahphqpqwowhhhhhh. What is prob of sequence aw?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*a + 52 = 0, 5*h + 2*a = -3*a + 55. Solve -v = l, v - 2*l = -2*v + h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238594123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and 1821383.2.\nAnswer: -473559.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0, 0.2, -0.1, -61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/2 + 187*m**4\/2 + 573*m**3 + 1153*m**2 + 1927*m\/2 + 579\/2 = 0.\nAnswer: -3, -1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -17.3. Let i = v - -2.3000032. Round i to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 17540 = 4*s, 0 = -3*s + 9 + 6. List the prime factors of f.\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20\/19 + -21\/38. Let r = 3 - 3.5. Put s, r, -20 in descending order.\nAnswer: s, r, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188.8 - -186. Let h = 24.8 - w. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*s = 13, -7 = -4*b - b - 4*s. Let l(t) = -t**2 - 16*t + 53. Let j be l(-19). Put -25, b, j in descending order.\nAnswer: b, j, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 47. Suppose 8 = 4*a - 5*s - 11, -z = -2*a - 5*s. Let k(n) = n - 3. Let w(m) = 1. Let g(d) = k(d) - 4*w(d). Determine g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*n*n\/n**(1\/2)*n\/((n**(-4)\/n*n)\/n)*n**7\/n assuming n is positive.\nAnswer: n**(239\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -10, 4*c - 33 = -32*b + 37*b. Suppose y = 2*i + 1, 2*i - 12 = -2*i. Solve 0 = y*w - 5*w + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1106172807 by -368724269.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 - 9*j + 14. Let s be a(-7). Let c = s - -180. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 2:31 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -511 + 511.2. What is the biggest value in -1, -265, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70982 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2\/5 - 56*o\/5 - 52\/5 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 + 484 + (2 - 34 - -4)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63999924, 127999849, 191999774, 255999699, 319999624?\nAnswer: 383999549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 1620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y**2\/5 - 242*y\/5 - 6 = 0.\nAnswer: -15, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0 + 0*c**2 - 91*c + 107\/6*c**3. Let v(w) = -3*w**2. What is m(v(g))?\nAnswer: -321*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 460974 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 divided by -71?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 1, z: 1, k: 2}. Give prob of sequence vi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 21 = -q + 11, q = -3*k + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 5. Let z be k(5). Suppose -4*h + 921 + 755 = z. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 29 = -o - 4, w - 29 = 3*o. Let q be 2024\/w - (-72)\/(-126). Suppose 5*a = 12 + 3, 3*c = 4*a + q. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u + j, -j - 1 = u - 2*j. Let a(r) be the second derivative of r**4\/12 + r**3\/6 - 3*r**2\/2 - r. Determine a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276740221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 27. Let d = 10 + r. Let o = d + -2.3. Which is the third smallest value? (a) -0.4 (b) o (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 177?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2\/13, 6041 in descending order.\nAnswer: 6041, 2\/13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -485050 rounded to the nearest 10000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324802.\nAnswer: 2, 662401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:07 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (311\/((-181624)\/(-30222)))\/(15\/(-4)).\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:57 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189.1 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.319 + 4.899. Let p = b + -2.67. Round p to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 13. Suppose 3*o - 24 = -m*o. Which is the nearest to 2\/7? (a) -1\/5 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -7323.\nAnswer: 7322.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (0 - (5 - -1 - (9 - -1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250991?\nAnswer: 13, 43, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 - 262*u\/7 + 130\/7.\nAnswer: 2*(u - 65)*(2*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130621 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/10*150\/(-45). Which is the closest to 11? (a) 0 (b) 0.2 (c) -2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5639401481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.083081556 rounded to five decimal places?\nAnswer: 1.08308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -43*v**2 - 54*v + 54. Let t(b) = -6*b**2 - 8*b + 8. Let c(y) = 4*o(y) - 27*t(y). Let h(m) = 125*m**2. What is h(c(f))?\nAnswer: 12500*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704802 is divided by 21738?\nAnswer: 9186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 27 = -7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6*(0 - 604). Suppose -2*s + t = -0*s. Suppose -3*b + 4*x = 2*x - s, 0 = -3*b + 5*x + 157. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 2 + 11 - 26*h**2.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122770 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 16.9. Let a = 0.9 - u. Is 0 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10461282001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, 333, 634?\n\"Answer: 301*t - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 5957 = -9*n. Suppose -7*z = -n - 1578. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 35. Let s(b) = 4*b - w*b - 11 + 3. Is s(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 0.07, -0.2 in descending order.\nAnswer: 0.07, -0.2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128*d + 58*d - 545*d)*(-2 + 2 - 2*d) to the form h + r*d + b*d**2 and give b.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 188708479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 x when four letters picked without replacement from {n: 1, w: 12, x: 3}?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 428*i - 1 - 122*i to u + c*i and give c.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230374.\nAnswer: 2, 229, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.6609177 rounded to 2 decimal places?\nAnswer: 16.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*n + 25265 = -97*n - 442*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17881920 divided by -106440\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in -0.3, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -3\/5, -364?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + 17*s**2 - 20*s - 145. Calculate o(5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -w + 9, 2*w = -3*w - 5*q - 15. Let p(l) = 1214 - 4*l - 1237 - 7*l. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/16*-2*4. Suppose b + 2*b - l = 0. Let c(v) = -955 - 945 + v - 948 + 3795 - 947. Let a(t) = -t. Determine b*c(i) + 6*a(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - a = -6*a + 12, 2 = 2*l - a. Solve 13 + 5 = -l*m + 4*h, 0 = 4*m + 2*h + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.474172ml?\nAnswer: 0.004474172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:31 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 3*w = -96. Calculate the remainder when w\/20 + (328\/20)\/1 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 3}. What is prob of picking 2 f and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 47 + 10*v)*(4*v - v + 3*v)*(7 - 5 + 2).\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/7)*k*k)\/(k*k**(-2\/59)) assuming k is positive.\nAnswer: k**(663\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 25 = 2*t. Let s = t + 7. Let r = 25 - 17. Calculate the greatest common factor of r and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5387, -10785, -16183?\nAnswer: -21581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/72353 + 109470097\/289412. Let z = j - 4685\/12. Let s = -297 + 1217\/4. Find the common denominator of z and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 9*q**2 - 8*q + 4. Let u be (1 + -7)\/(6\/8*1). Calculate t(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*n + 2*n**4 + 6*n**2 + n**3 - 33 + 12 - 4*n**2 + 35*n as w + u*n**4 + p*n**3 + r*n**2 + i*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 31 + 34. Suppose r*t = -3*t - 48. Let k(f) = -7*f + 8. Let q be k(t). Calculate the highest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2718*a**3 - 11*a - 2714*a**3 + 3*a)*(3 - 1 - 1 - 2*a) to the form w*a**2 + u*a**3 + z + s*a**4 + l*a and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*6\/(-30)*-5. Let n be -2 - (-1 + 1) - -5. Suppose -u - n*u = 5*q, 17 = -3*q + u. Which is the biggest value? (a) x (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384900259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 - g**3 - 12*g + 8*g - 26*g**2 + 4*g.\nAnswer: -g**3 - 41*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178463*t**3 - 146891*t wrt t.\nAnswer: -1070778*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/15735570 and 27\/36716330.\nAnswer: 110148990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 761, -7, -4, -63, 4 in ascending order.\nAnswer: -63, -7, -4, 4, 761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*f - 0*a + 9, 2*a - 4 = 2*f. Suppose 2*u = 0, g - 5*u = -3*g - 40. What is the smallest value in g, 2, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.932, 7, -3, 5 in increasing order.\nAnswer: -10.932, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (4 - -1)) + 0 + 3. What are the prime factors of ((-12)\/(-7))\/(-1*r\/28)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015711 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1553 - 601. What are the prime factors of z?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2202601\/23 - -95827. Let j = i - 23329\/414. What is the common denominator of -8\/9 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 12 + -11 - (2 - -99)) + (-40 - -34).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1594761 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -18*j**4\/5 - 21784*j**3\/5 - 1478266*j**2\/5 - 20583404*j\/5 - 4501328\/5 = 0.\nAnswer: -1139, -52, -19, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 50 = -s - 57, -18*s + 2*h = 8 + 31 - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (210\/51 - 3). Let v = 695\/7 - 99. Let k = 0.35 + -1.35. Which is the nearest to k? (a) -1 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8178.676 millilitres to litres.\nAnswer: 8.178676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 22.5. Let v = -3 - -2.9. Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e9b (base 15) in base 8?\nAnswer: 15017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -20. Suppose 14*o - a = 43. What is the biggest value in -2\/3, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/3 - 5228*l**3\/3 - 41765*l**2\/3 - 26086*l\/3 + 24360 = 0. What is l?\nAnswer: -5220, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 24 = -4*r. Suppose 9*j - 17*j = -r. Let y = -14 + 26. Solve -j*c - 3 = y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/13)*t\/(t\/t**(-2\/11)) assuming t is positive.\nAnswer: t**(-4\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12943369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 587950603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-56)\/(-12))\/((-22)\/(-33)). Calculate the highest common divisor of 21 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/40 - 2)*-4*3\/11. Which is the second smallest value? (a) -22 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + j - 25 + 88)*(0 + 1 - 2 + (-2 + 0 + 1)*(-5 + 3 + 4) + 0 - 4 + 1).\nAnswer: -6*j - 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*1)\/(39*(-2)\/(-2301)))\/(1\/2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 13 = -2*k - y, 0 = -2*k + y + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 24*l**2 - 13*l**2 + (19*l + 5*l + 25*l)*(-2 + 2 - 8*l) as w + s*l**2 + u*l and give s.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1)\/5 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.32983 weeks in days?\nAnswer: 548.30881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 2*a + 3*a - 4*a - a + 4*a - 12*a - 7*a + 3*a - 2 + 2 - a + (-a - a + 0*a)*(-1 + 0 + 3) + (-5 + 0 + 2)*(9*a - 10*a - 13*a).\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3661 (base 7) to base 8.\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3216\/(-128) + 8 - (-6 + -7).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-12))\/(3\/(-18)). Suppose p + 2*n = 5, 0 = -3*p + p + 5*n + b. Suppose -p*d = k - 33, 2*k - 165 = -3*k + d. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8694 and 2373.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50\/(-5)*36\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {r: 5, l: 2, o: 2, u: 8, h: 1}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 11*a + 1842 = -2*s, -3*s + 4637 = 5*a. What is the remainder when a is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 499510 and 3040.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2031*n - 4*n**2 - 2031*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -122200122?\nAnswer: 122200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 15. Let j be l(4). Let t(x) be the first derivative of -1\/8*x**2 - 1\/6*x**3 + 0*x**4 + 1\/10*x**j + 0*x + 1\/24*x**6 - 2. Solve t(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102095*j**2 + 0*j + 0*j - 183159*j**2.\nAnswer: -285254*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6 + 144. Suppose -z - 4*z - d = 0. Is -1113*((-25)\/z)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4125\/325 - (14 - 1)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -14, 4, -1 in decreasing order.\nAnswer: 4, 3, -1, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 4. Let a be (j - -2)*-1*0. Suppose a = k + 4 - 2. Is k at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10549.\nAnswer: 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 44, 1, -3, 76, -1.\nAnswer: -3, -1, 1, 3, 44, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*((-1870)\/42075)\/(3\/(-18)*-1).\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414 (base 5) to base 7.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 12*s + 8. Suppose -5*x - 3*g + 21 = 0, x + g + 0*g - 3 = 0. Let b(q) = q**2 - 11*q + 7. Let m(w) = x*b(w) - 5*z(w). Give m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 23506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 12. Let o(q) = q - 13. Let f be o(8). Let k be t(f). Let b(l) = 3*l - 3. Let x be b(2). Is x smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2545*-1.\nAnswer: 4.2545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 21*d - 48. Give a(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -3. Suppose 26*k - h*k = 10, r + 4*k = 115. Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22882\/7 + -3276. Let u = 271371 - 2096011\/8. Let f = u - 9358. Calculate the common denominator of f and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.438 + 2.538. What is the nearest to c in -1.9, 4, 3\/8, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205664246?\nAnswer: 2, 19, 5412217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i**2 + 2*i + 3. Let d be p(-2). Do -47 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 + 6*z + 6. Let o(k) = k**3 - 3*k**2 + 5*k + 5. Let p(t) = -3*t**2 - 4*t + 48. Let i be p(5). Let x = i + 42. Determine x*c(m) + 6*o(m).\nAnswer: m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m = 46*m + 81981. What are the prime factors of m?\nAnswer: 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1586929.806 microseconds to weeks.\nAnswer: 0.000002623891875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 - 2 = 0. Let v = -6.03 + 6. Let c = v + 2.03. What is the third biggest value in 0.4, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(2\/23)\/(y**(-9)\/y**2))**15 assuming y is positive.\nAnswer: y**(3775\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 108*n**2 + 220*n + 262. What is the remainder when p(110) is divided by 59?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 + 2 + 1 - 320*d.\nAnswer: -320*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 86 = -0*m + 4*m, f - 5*m + 15 = 0. Let y be 21\/f - 17\/(-45). What is the fourth smallest value in -5, 4, 1, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*s - 19, 5 = -2*g + 2*s - 5. Calculate the remainder when 11 is divided by (-1 - g) + 54\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*((s**(3\/5)*s)\/s)\/s))\/(s*(s\/s**(1\/4)*s*s)\/s))**21 assuming s is positive.\nAnswer: s**(-567\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3146 and 1210?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 + 58*d\/9 + 88\/3.\nAnswer: -2*(d - 33)*(d + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r + 995 - 15*r - 7*r + 23*r + 1570.\nAnswer: -30*r + 2565","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 5)*0\/(-2). Suppose o = 2*q + 242 - 458. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 9*x**2 + 12*x - 11. Let j be c(10). Suppose -3*b = 3*u - j, 2*b - u = -2*u + 7. Suppose 3*l = -2*h - 2*l + 25, h - 20 = -b*l. Sort h, 6, -5.\nAnswer: -5, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368, -398, -476, -626, -872, -1238, -1748?\nAnswer: -2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 16. Suppose -29*m - x = -31*m. Put 2, m, 5, -17 in decreasing order.\nAnswer: 5, m, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from xkkxxkkkkkkkxkkkkk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (-20 - (-7 - -6)) + -39 + 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*w - 12, d + 5*w - 64 = -82 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 44980?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 6*i**2 - 5*i + 7. Let p be r(-7). Let k = p + 14. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4804350, -4804349, -4804348, -4804347, -4804346?\n\"Answer: g - 4804351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + h - 2*h + 7. Let f be y(11). Calculate the common denominator of 12\/7 and 2\/56*-2*f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/((-196)\/6816))\/((-1)\/(-7)).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/9*6 + 105. Calculate the remainder when (2\/(-7))\/(h\/(-25641)) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*c**4 + 10*b + 43*c**4 + 98588*c - 397921 wrt c?\nAnswer: -4*b*c**3 + 172*c**3 + 98588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2158)\/40 + (-42264)\/480 + 88.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153, 147, 137, 123?\n\"Answer: -2*f**2 + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402466, -402474, -402482, -402490?\nAnswer: -402498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -4 + -1)*-6. Let o be (-48)\/(-10)*(-40)\/y. Factor -6*l**2 - 8 - l**3 + o*l - 3*l**3 - 374*l**4 + 376*l**4.\nAnswer: 2*(l - 2)*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.5 - -5. Let w = 5 + l. Let q = w + 1.5. Which is the nearest to 0? (a) -3\/8 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - 7. Let j = -29 - k. Let t(i) = -4*i**2 - 6*i + 9. Let r(o) = -o**2. Let x(q) = j*t(q) + 5*r(q). Factor x(p).\nAnswer: -(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) + 2109\/(-555). Which is the nearest to -7? (a) -1 (b) s (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 132, 17, 5, 1 in descending order.\nAnswer: 132, 17, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3a1353 (base 13) to base 7\nAnswer: 14630140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**3 + 3*h**2 + 5*h + 2. Let m(u) = 3*u**3 + 5*u**2 - 3*u - 1. Let t(k) = -k**3 - 3*k**2 + k. Let w(n) = m(n) + 2*t(n). What is g(o) + 3*w(o)?\nAnswer: -4*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/12 - (-2 - -1)*-2\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i, 7*i - 2*i = -3*v + 393. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -80. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-1)\/(-6)*(-980)\/(-98).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 4)*(-3 + 1). Let k be (2 - (u - -1))\/(5\/(-45)). Suppose -k*m + 15*m - 36 = 0. Let z(a) = -6*a + 5. Determine z(m).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 0*v + v - 10 + 2. List the prime factors of h(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 214641.9 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*u = -24, -7*u = -2*j - 75 + 36 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2782, 2783, 2784, 2785?\n\"Answer: t + 2781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-503)\/(-39) + (-1364)\/4433?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9064*u**4 + 398*u**2 + 2*u - 5 wrt u.\nAnswer: 217536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255731513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 32 + 76)*(2*j**4 - j**4 + j**4) - j**4 - j**4 - 4*j**4.\nAnswer: 176*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 29*t**2. Let p(u) = -4498542*u. Give p(y(g)).\nAnswer: -130457718*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31026240 divided by -2835.\nAnswer: -10944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -454298*d**2 - 25633*d - 6?\nAnswer: -908596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80508, 160999, 241490?\n\"Answer: 80491*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 3. Let w(k) = -2*k + 2. Suppose y = 4 - 1, -3*b - 3*y + 21 = 0. Give b*w(p) + 3*n(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 30*f**2 + 4108*f + 129475. Determine g(-32).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 2*o - 1. Let u be m(-2). Suppose -h - 5*q = 22, 0*h = u*h + 4*q + 11. Let w(c) = -2*c - h - 4*c + 2*c + c. What is w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-38 - (-97 - 12))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x - 64. Suppose 3*y = 6*y - 5*f - 200, -2*f - 132 = -2*y. Calculate the remainder when y is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s**4 + 5355*s**3 - 337070*s**2 + 5136000*s - 1013760 = 0. What is s?\nAnswer: 1\/5, 22, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -21, -2, 5 in increasing order.\nAnswer: -21, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*d**4 - 9\/4*d - 7\/4*d**3 + 0 + 15\/4*d**2 = 0. What is d?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x**1*x)\/x*x))\/x)**(-10)\/(x**9\/x*x**10\/x*x))**(11\/5) assuming x is positive.\nAnswer: x**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3*g*g)\/g**(3\/2))**(3\/17)\/(g**8\/(g*g*g**(-8)))**16 assuming g is positive.\nAnswer: g**(-7589\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -2\/7, 0.5, 4, -12.1 in descending order.\nAnswer: 4, 0.5, -2\/7, -2, -5, -12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 + 5*w - 103. Give d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0 + 0 + 107*r**2. Let x(h) = -55*h + 2820. Let b(k) = -7*k + 360. Let o(s) = -47*b(s) + 6*x(s). What is n(o(d))?\nAnswer: 107*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12 - 8 - 6 - 3*x**2. Let y(d) be the first derivative of -d**3\/3 + 62710. Determine b(y(a)).\nAnswer: -3*a**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.6 - -53. Let z = l - 2.7. Is z > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = -210. Suppose -3*f - 5*r = -3*r - 28, -4*f = -2*r - b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**0)))**(-9)\/((t*t**5\/t*t)\/(t*t*t**7)))**(1\/27) assuming t is positive.\nAnswer: t**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158692387 is divided by 349?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1363121 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(19) - sqrt(57)\/(sqrt(6)\/sqrt(2)).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03444, 3, -1\/17 in decreasing order.\nAnswer: 3, -0.03444, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*f + 7, 2*m - m = 2*f - 1. Let p be (-3066)\/(-162) - (-8)\/108. Solve m*y + 2*h - p = 0, 2*y + 9 = 5*y - 3*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 = 42. Let m = 158 + -232. What is the common denominator of -81\/4 and m\/(-6)*12\/v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 3. Let k(z) = z - 1. Let y(j) = 3*k(j) + o(j). Let g(n) be the second derivative of 0*n**2 + 2*n - 10\/3*n**3 + 0. What is y(g(t))?\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-22)*d\/d**(1\/6)*d**5\/d*(d**1*d*d)**(-35)*((d\/d**(1\/4))\/d)**(2\/39) assuming d is positive.\nAnswer: d**(-3049\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 967448.5 micrograms?\nAnswer: 0.0000009674485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/6*(-360)\/150. Find the first derivative of 3538*c - 3538*c - 14*c**n + 11 wrt c.\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 + 10*i + 8. What is l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 42 + 3 = 0. Suppose q - l = -q - 5*m, 2 = 3*q - 4*m. Solve -w + 15 = q*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -102556 (b) 61 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 119 = -4*s - 115, -s - 4*w + 4 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 11 = -11. Suppose 22*z + 46 - 156 = s. What is the smallest value in -0.5, 0.005, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Let d(x) = x**2 - x + 4. Let g be d(3). Suppose -5*u = -2*j - 19, g + 11 = 2*j + 3*u. Solve -z + 3*r = o, -j*r + 2 = -1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32130313 (base 4) to base 13\nAnswer: -20c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {c: 4, a: 1, b: 1, h: 4, t: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 41370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -0.006, 0 in decreasing order.\nAnswer: 3, 0, -0.006, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 1152*o - 2. Let i(p) = 2*p. What is m(i(q))?\nAnswer: -8*q**2 - 2304*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 102 = -3*s, 2*s - 3*s + 4*l + 24 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4224160272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1939 - 8275\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 511 - 0?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from bsseb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1581, -1\/5, -353?\nAnswer: -1581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 502151369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 451, 3, -5, 235, 0.5?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590676252?\nAnswer: 2, 11, 199, 181667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4 (c) -207 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 0\/2 - -54 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869085 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 + 5525746082\/(-702144). Let l = -417374\/53 - x. Let n = l + 7\/736. What is the common denominator of 23 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from folkrrllrfkrkrm. Give prob of sequence kmk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 2*u - 7*u + 3*u**2 in the form r + x*u**2 + m*u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.944 + -31. What is s rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4113 is divided by 2029.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-44)*(-8)\/36*(-18)\/9\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040 divided by 160?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66501675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.72 minus 10?\nAnswer: -56.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 2. Suppose 4*z = -4*r + d*z + 245, 0 = 3*r + 2*z - 190. 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 (-18)\/(-270)*(-447)\/(-9) - 20\/18?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2016 (base 8) to base 4\nAnswer: -100032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434837?\nAnswer: 13, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 + 5*w**2 + 32. Let x(c) be the third derivative of c**6\/60 - c**5\/30 - 11*c**3\/6 + 3*c**2 - 310*c. Determine 4*t(v) + 11*x(v).\nAnswer: -2*v**3 - 2*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169837541209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 324636*o + 649334. What is v(-2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(55)\/sqrt(5) + 5 - 2*sqrt(66)\/sqrt(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34414083?\nAnswer: 3, 11, 149, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 1630*v - 1627*v + 3, -2*v = -3*w + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1870787721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - d + d = 0. Let c(r) be the third derivative of -1\/540*r**6 + 1\/54*r**4 + 1\/270*r**5 + d + 0*r**3 + r**2 + 0*r. Solve c(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 140?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5742 and 3564.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**4 - 5*f**3 + 2*f**2 + 2*f - 3. Let k(n) = 6*n**4 - 26*n**3 + 10*n**2 + 10*n - 16. Let j(d) = -3*k(d) + 16*w(d). Solve j(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4 = -2*i. Let h be (-1552)\/i*50\/10. Round h to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015377137 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 836, 2812, 4782, 6746, 8704, 10656, 12602?\n\"Answer: -3*o**2 + 1985*o - 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*-1)*5)\/(-2*(sqrt(7)*2 - sqrt(7)) - sqrt(7)) - ((sqrt(52)\/sqrt(100))**2 + ((-4 + sqrt(13))*-6)**2).\nAnswer: -26113\/25 + 854*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -102, 422 in descending order.\nAnswer: 422, 3, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**4 + 34*t**3 + 8*t + 5085. Let f(q) = -4*q**4 + 34*q**3 + 8*q + 5086. Let a(p) = -7*f(p) + 6*m(p). Differentiate a(n) with respect to n.\nAnswer: -8*n**3 - 102*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11*v**3 + 8*v - 26. Let b(k) = -4*k**3 - 3*k + 9. Suppose -j - 12 = 8*s - 6*s, -5*s - 30 = -3*j. Calculate s*z(o) - 17*b(o).\nAnswer: 2*o**3 + 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(0 - (-4)\/8). Suppose z - 2 = -z. Let a be 3\/g + z\/6. Solve -2*o = -a*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/28)\/(2\/(-84)). What is the units digit of 176\/(-36) - -5 - 40388\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Suppose 4 = h*j, -2*j - j = -2*v + 3. Solve 5*o + r + 1 = -0*r, -4*o - v*r = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2\/2009, -4\/21 in decreasing order.\nAnswer: 5, -2\/2009, -4\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 461 + -377. What is the smallest common multiple of n and 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3062442\/3499 or 876?\nAnswer: 3062442\/3499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(385))\/sqrt(11) + sqrt(35))\/(3*sqrt(245) + sqrt(245)) + 3)*-6*6.\nAnswer: -108 - 18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 50\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 + 0.5. Let x = -0.06 + d. Let i be (2 - 3) + (-14)\/(-18). Which is the nearest to x? (a) i (b) 1\/8 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/12 + 5*z**4\/3 + 35*z**3\/6 + 7*z**2. Factor w(m).\nAnswer: 5*(m + 1)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/20 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*j**3 - 489*j**3 - 6485*j**3 - 174*j + 174*j.\nAnswer: -7625*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 7:01 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:54 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -663393, -1326803, -1990213, -2653623, -3317033, -3980443?\n\"Answer: -663410*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/6, 1\/8, -8, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*y - 4410 + 4452, 2*y = -3*m - 22 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15190, -15167, -15128, -15073, -15002?\nAnswer: -14915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-15)\/(-6))*2. Let a(o) = 4*o + 5. Let p be a(t). What is the units digit of 6\/((-3)\/(p\/(-2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4314050 (base 10) to base 13.\nAnswer: -b807c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -13. Let f = s + -8. Let x = -4\/21 - -26\/357. Which is the third biggest value? (a) x (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvv when four letters picked without replacement from {v: 6, n: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -22 + (105 - 20).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkdkkdkkdkkkkk?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-9)\/(-99))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 265*a + 1659. Calculate the remainder when n(-5) is divided by 142.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5939, 4605, 3271, 1937, 603?\n\"Answer: -1334*h + 7273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021744448 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**7\/840 + 13*r**6\/240 - 29*r**5\/80 + r**4\/24 + 29*r**3\/6 - 12*r**2 + 25. Factor c(n).\nAnswer: (n - 2)**2*(n + 1)*(n + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2991*u. Let q be n(-10). Let m = q - -52910. Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10)*(u*u**(-14))\/u*u*u*u**(2\/109)*u**25 assuming u is positive.\nAnswer: u**(329\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*w - 45194, -4*y + 5*y - 11309 = 3*w. What is y rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(9)*-1)\/sqrt(3) - (sqrt(300) - (sqrt(300)*2)**2)).\nAnswer: -11*sqrt(3) + 1195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0002 + 24.645\nAnswer: 24.6452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 39*o**2 - 380*o - 32. Calculate y(17).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-78)\/(-117))\/((-8)\/(-60)). Solve 5*b = 8*n - t*n - 22, -5*n - 30 = 5*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -774, -781, -792, -807?\n\"Answer: -2*u**2 - u - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (800000\/6)\/(88\/72 - 1). Round n to the nearest ten thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y - 0. Let n(v) = -v - 1. Let l be n(y). Let w be (1086\/l)\/(1\/(-10)). What is w rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/10 and ((-11)\/(-12))\/((-1)\/13).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (-1 - (-1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 3. Let m be x(-2). Suppose -5*g - 2*z = -g - 168, -5*g - m*z + 220 = 0. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-3)\/(-36)*-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpgv when four letters picked without replacement from vvspvgvg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.57095839 - 21.\nAnswer: -18.42904161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1209 + -1202. Solve 2*f = -2*x + 6, -4*f - n*x = -5*x - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -28. Let a be 2\/(-6) - (-35)\/(-21). Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from stttttsststts.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, b: 1, d: 2, g: 3}. Give prob of picking 2 r and 1 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 10*s + 6. Let q be j(-5). Let l(c) = 379*c + 124. Let w(k) = 126*k + 41. Let f(t) = q*l(t) - 17*w(t). Is f(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 34, -6193, 9 in ascending order.\nAnswer: -6193, 9, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 4.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 852023 and 4709.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12602?\nAnswer: 2, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -274.75 (c) -30\/11 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 8*g + 4. Is q(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 12474.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 171363888*y + 1835348881904784.\nAnswer: 4*(y - 21420486)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200004 (base 11) to base 16.\nAnswer: -3afa8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*w + 7, 2*w = -3*q + 491. Suppose 0 = 67*u - 63*u + 4*r - 632, 5*u - 820 = 5*r. Is u < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -660\nAnswer: 660.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 536 - 413 + y.\nAnswer: y - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 2*n**3 - n**3 + 10*n**2 + 2. Let q be t(-9). List the prime factors of ((-8)\/(-2) - q) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321 + 718. Calculate the remainder when g is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 divided by 2?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17438 + 4838 = -175*x. Calculate the remainder when 92 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1254, 2, 0, -9, -4 in ascending order.\nAnswer: -9, -4, 0, 2, 1254","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 4, s: 2, w: 1, k: 2, v: 7}. Give prob of sequence sqv.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t + 11. Let h be n(0). Let x = 20 - h. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2649, 2644, 2635, 2622, 2605, 2584, 2559?\n\"Answer: -2*k**2 + k + 2650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*516\/(2 - -2). Let o = z - 41. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 799\nAnswer: 1278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 18 - 10. Let d = o - 10. Suppose l - 2*w = -3, d*w - 1 = -4*l + 23. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 339 + -242. Let y = -86 + a. Suppose -y*n + 21 = -4*n. Solve 21 = -4*p + 2*o + n, 2*p + o - 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26418, 26951, 27484, 28017, 28550?\nAnswer: 29083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1922, -3851, -5780, -7709?\n\"Answer: -1929*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**3 - 14*c**2 - 6*c - 6. Let z(q) = 9*q**3 + 14*q**2 + 7*q + 7. Let n(b) = 7*d(b) + 6*z(b). Find the third derivative of n(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3476 + 3471. Let g(h) = -h**2 + 2*h + 4. Let o be g(4). Do o and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f = 5*s - 44*f + 101*f - 125, 5*f - 125 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 300, 590, 880, 1170, 1460, 1750?\n\"Answer: 290*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 9*f**3 - 26 + 6 + f - 25*f**2 + 17*f.\nAnswer: 9*f**3 - 25*f**2 + 18*f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/140 - (-46)\/14. Suppose -2*o + 6 = 4*f, n*o + 5 - 2 = -3*f. Suppose t - f = -5*j, -3*t - 2*j + 55 - 17 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 25833 + 40497. List the prime factors of n.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42951719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 + 3*k + 9. Let d be u(-6). Let p be d\/6 + (-5)\/(-6). Suppose -j = 4*j - 20, 3*f - 13 = -4*j. Does f = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 269 and 3500.66.\nAnswer: 941677.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125539 + 152313 = 5454*h - 103928 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -248\/5 less than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 37*p - 8*p**2 + 18*p - 7 + 17*p. Let g be z(-8). Solve 5*k + 25 = -5*b, 3*k - g = 5*b - 2*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5156, 9219, 13282, 17345, 21408?\n\"Answer: 4063*x + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3 and 32\/97041?\nAnswer: 97041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126257*d**5 + 8540*d + 2.\nAnswer: -2525140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -2 - 1*-2. Let m(z) = -z**2 + 7*z. Let w be (7\/(-2))\/(-3*(-1)\/(-6)). Let c be m(w). Sort 2, u, c, -6 in descending order.\nAnswer: 2, u, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/218 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = 4*f, 5*f + 4 = -4*l - 5. Let z be l + (-1)\/(3\/(-318)). Suppose -n + z - 6 = 2*a, -2*a - 4*n + 104 = 0. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3054 less than 0.280356311?\nAnswer: -3053.719643689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 3*l**2 + l - 3. Let j be (10\/15)\/(6\/9). Let i be p(j). Factor 0*c**3 + c**2 - 5*c + 9*c - i - c**3 + 0*c**2.\nAnswer: -(c - 2)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.55 - -0.15. What is the nearest to -0.1 in 2\/17, t, -3\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73431995*m**4 - 11212908*m wrt m?\nAnswer: 881183940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -46. Suppose -872 = -4*z - b*f, 1080 = 6*z - z - 5*f. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6468 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 811, 2, 4, -5, 1 in ascending order.\nAnswer: -5, 1, 2, 4, 7, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 36459409 + 36459409.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**4 + 7*d**3*p - 12*d**3 - 20*d**2*p - 2*d**2 + 3*d - 27*p wrt d.\nAnswer: 96*d + 42*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - -4*143)\/(2 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48827*f**4 - f + 298870 wrt f.\nAnswer: 195308*f**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177\/205 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -459420*n**2 + 3*n - 209958.\nAnswer: -918840*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -257108435.172 and -42.\nAnswer: -257108477.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 415, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -36, -65, -110, -177, -272, -401?\n\"Answer: -k**3 + k**2 - 15*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-867)\/(-136) - 62\/80.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*o**4 - 13*o**2 + 8*o**2 + 5*o**2 - 6 wrt o?\nAnswer: 124*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -244 and 3822.\nAnswer: -932568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37875530389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(3*(-12)\/(-9)). Let b = -0.2408 - -0.1108. What is the smallest value in b, 3, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 - -1?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - 0.02. Let j = s + -1.9. Which is the nearest to 0.2? (a) 0.1 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yso when three letters picked without replacement from yyuodys.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 n, and 1 k when three letters picked without replacement from pxkxnpfjf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168989\/234 - -9324\/13. Let q = 16816 - 12595172\/749. Let s = 62263\/5992 - q. What is the common denominator of g and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 178699 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16244 (base 9) in base 14?\nAnswer: 40b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/12 and 26\/10443?\nAnswer: 41772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 764.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11849966?\nAnswer: 2, 5924983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 8*g**2 + 34*g - 4. Give i(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 + 2*q + 5. Let l be m(-4). Let x = 1 - l. What is the third derivative of z**2 + 5*z**6 + 4*z - x*z wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 8*p**2 - 4*p - 7. Give s(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/(16\/(-1128)). Let k = 72 + t. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -2*c + 2*n - 23, 2*c - n + 157 = 0. Let d = 110 + c. Is d + (4 - (-2 - -5)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -9*s + 6*s - 4*p, p = -3*s + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*y = -3 - 10, -2*v + 24 = -2*y. What is the least common multiple of 1 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 m when four letters picked without replacement from zuumzuummmu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 1 i when three letters picked without replacement from ffmiffmmmmffrfmmrff.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 - 2702784*w**4 + 608756148666*w**3 - 1217504188992*w**2 + 608750743107*w.\nAnswer: 3*w*(w - 450463)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 8*m**2 - m - 5*m + 2*m to k + d*m + y*m**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(7\/28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -277\/4, -4, 0.06 in decreasing order.\nAnswer: 0.06, -4, -277\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddudhgddguggddhudud. Give prob of sequence gdg.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 2. Let g(m) = -2*m + 1. Let o(j) = -7*g(j) + 3*x(j). Let h(n) = 4*n + 8. Let q(p) = h(p) + 6*o(p). What is the derivative of q(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 - 527*a + 1054. Calculate v(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347690 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 0*u**3 - u**3)*(-3*u**2 - 4*u**2 + 4*u**2) + 5*u**5 + 2*u**5 - u**2 - 6*u**5.\nAnswer: 4*u**5 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkpkkt. What is prob of sequence ppkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - f**2 + f**2)*(3*f - 2*f + f) + 2*f**3 - 2*f**3 - f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*t - 65*t**3 - 73*t**3 + 150*t**3.\nAnswer: 12*t**3 - 165*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 129\/4. What is the second smallest value in 1, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2. Let o(k) be the second derivative of k**5\/12 + 2*k**2 - 21*k. Let v(h) be the first derivative of o(h). What is v(n(u))?\nAnswer: 180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103258621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31454032 + 303?\nAnswer: 31454335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1\/70*q**7 + 1\/12*q**4 - 2*q**2 + 0*q + 0*q**6 + 0*q**5 + 0*q**3 + 0. Find the second derivative of k(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15958, -31777, -47598, -63421, -79246?\n\"Answer: -x**2 - 15816*x - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -4 - 7) + 2 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/45)\/(-48*(-72)\/(-51840)). Factor 1\/3*k**2 - d + 7\/3*k - 7\/3*k**3.\nAnswer: -(k - 1)*(k + 1)*(7*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -269, -593, -1037, -1595, -2261?\n\"Answer: w**3 - 69*w**2 + 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reqbqqqqqrquuqerqqu. What is prob of picking 1 q and 1 e?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 12128*p - 30 + 25 in the form g*p + b and give g.\nAnswer: 12128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 - 5 = 0. Suppose -s*t + 3*t = -20. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9271 and 341.\nAnswer: 3161411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + 23\/3. Let z be (-36)\/15 + 2 - 17\/(-5). Solve 0*d - z*l - 18 = d, -d - f = l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Let s(t) = 18*t**2 - 41*t**2 - 218*t**2 - 59*t**2 + 14*t**2. Give w(s(q)).\nAnswer: -163592*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -4. What is the highest common factor of 45 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8405 - -8407. Let h(f) = f**3 + 9*f**2 + 7*f - 4. Let b be h(-8). Put 6, b, c in decreasing order.\nAnswer: 6, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 3 + -2 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19) + -3)**2*-1.\nAnswer: -28 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s**2 + 1)*(1 + 4 - 4) + 802261*s - 802261*s - 525*s**2.\nAnswer: -523*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -53346300 to the nearest one hundred thousand.\nAnswer: -53300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + (13 - 15 - -1) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, -1369, -0.171 in decreasing order.\nAnswer: 2, -0.171, -0.5, -1369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*o**2 + 3200\/13 - 160\/13*o.\nAnswer: 2*(o - 40)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16 - -2) + 2)*(-23 - (2730\/(-98) - -5))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 649*f + 1946. Let i be j(-3). Let b(a) = 3*a**2 - 22*a - 2. What is b(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -216, -197, -176, -153, -128?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45453, -90927, -136411, -181905, -227409?\n\"Answer: -5*l**2 - 45459*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 976883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 7*t**2\/2 - 21*t - 4. Is v(15) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/15 - 2*p**3\/3 - 4*p**2. Find i such that c(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {l: 2, b: 5, m: 4, k: 1, q: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, 3708, 10\/33 in decreasing order.\nAnswer: 3708, 5, 10\/33, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 5:52 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*f + 90 = -96*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 49*p - 24 + 88 = 0, 0 = 5*u + 2*p - 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -0.2209?\nAnswer: -0.6209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/12 + y**3\/3 - y**2 + 2*y. Let u be k(0). Let p(a) = -4*a - 6. Let d(z) = -z - 2. Determine u*p(x) + 7*d(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 11*p**2 - 10*p + 3. Let h be y(10). Suppose 3*q - q - 2*a - 42 = 0, -5*q + 99 = -h*a. Calculate the remainder when 70 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 + k - 5. Let r be i(5). Let l(f) = 2*f. Let d(m) = -m**3 + 7*m + 81. Let z(j) = d(j) - 3*l(j). List the prime factors of z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 5. Let r be m(0). Suppose -r*q + 28 = -7. Suppose 45 = h + q. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 - 5842\/10. Let k = 858 + x. Suppose 5*s + 3*h - 462 = 0, 4*s - h - k = 82. What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 5. Solve 5*p + 3*h = -h - 7, b*p - 2*h = -19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 963 - 965. What is the remainder when 113 - (1 - 2 - -1) is divided by (-120)\/(-9)*((-1)\/k + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757 = 9*f - 23*f - 35*f - 3697 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 65*u**2 + 25*u. Let h(a) = 22*a**2 + 8*a. Let w(s) = 3*g(s) - 8*h(s). What is the second derivative of w(r) wrt r?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31266 + 44?\nAnswer: -31222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683 rounded to the nearest 10?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*x**2 - 2 + 10*x - 119*x**2 + 14*x.\nAnswer: 9*x**2 + 24*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 - 6*h**2 - 5*h**2 + 17*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 9}. Give prob of picking 3 c and 1 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(15\/(-6))*10. Sort -1, 24, l in descending order.\nAnswer: 24, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488489 is divided by 122086.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/(f**(-1\/6)*f)*f*f))**(3\/2)\/(f**(-2\/9))**28 assuming f is positive.\nAnswer: f**(53\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2455.\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12462009, 24924020, 37386033, 49848048, 62310065?\n\"Answer: v**2 + 12462008*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-42))\/((-45)\/210))\/((-12)\/18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 23382*n - 70153. Give b(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnzz. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -r - 648. Let i = -43 + r. Let m(n) = 5*n - 1. Let w(d) = -4*d + 1. Calculate i*w(y) - 6*m(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let v(r) = 57*r + 38. Let c(i) = -38*i + 1254. Let h be c(32). Give h*j(q) + v(q).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 226.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -15. Let r be 25 - 0\/(q + 0). Suppose 0*w - r = -5*w. Solve 12 = -2*a - f, 3*f + 2*f = 3*a + w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - 3*n**2 + 2*n + 1. What are the prime factors of f(3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151607 to the power of 1\/2, to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 71?\nAnswer: -71.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 28*d = -6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3)\/36*(10 - 16). Factor 1\/2*v**4 + 5\/2*v**3 + k + 9\/2*v**2 + 7\/2*v.\nAnswer: (v + 1)**3*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 290, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-578)*(-32)\/(-8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 35, -2\/9, 0.5, 0.2, 48, -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17311390 is divided by 2232.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107877489 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*f + 24554 = 0, 4*w = -2*f + 13061 + 19619. What are the prime factors of w?\nAnswer: 2, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h - 3. Let m(g) be the second derivative of 1\/3*g**3 + 0*g**4 + g**2 + 1\/20*g**5 + 0 - 6*g. Determine -3*i(c) - 5*m(c).\nAnswer: -2*c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 95 = -19. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99400621 - 99400621.56899583. Let z = -1826.569 - -1826. Let q = r - z. Round q to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1077*k + 43. Let z(p) = 217*p + 8. Calculate 6*w(d) - 31*z(d).\nAnswer: -265*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24\/5464967 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 93.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10255293, -20510524, -30765741, -41020938, -51276109, -61531248?\nAnswer: -71786349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62933\/5676 - 2\/473. What is the common denominator of 67\/45 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4456 - 779 = -142*s - 691 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022237 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, -1\/5, 0.2, 996, 2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 - 3*y**2)*(2*y - y + y) + (-5 + 5 + 3*y)*(-3*y**2 - 2*y**2 + 3*y**2).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 119 = 13*m, 1321*y - 1323*y = -2*m - 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 10. Let n(r) = -9593*r - 1. Determine n(b(t)).\nAnswer: -19186*t**2 + 95929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*v**2 - 43894725*v + 43894725*v.\nAnswer: 708*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 902403.9 millennia?\nAnswer: 90240390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 10*s - 1. Let u be d(-3). Let k(f) = -43 - 5*f + u + 23. Let z(g) = -2*g**2. Calculate z(k(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72739 + 72739 - 164*a**4)*(4 - 2 + 5) in the form t + l*a**3 + i*a**2 + r*a + c*a**4 and give c.\nAnswer: -1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381480 and 47080?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.02 + 0.02. What is the smallest value in -4, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6154999 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 654?\nAnswer: 49050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166282311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 4) + -8 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 + 2*u - 13. Let k(p) = 4*p**2 - p + 7. Let r(s) = 11*k(s) + 6*y(s). Let g = 2 - 2. Let a = g + 1. What is r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5977214613 - 5977214608.879999421. Let f = q - 4.12. What is f rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/3, -2\/5, -2\/9, -46?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/9875015 and 31\/31600048?\nAnswer: 158000240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125.78 + -127.18. What is the third biggest value in 2\/9, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 10*d**4\/9 - 34778*d**3\/3 - 104354*d**2\/9 + 34778*d\/3 + 104344\/9 = 0?\nAnswer: -1, 1, 52172\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 7*z - 24. Let j be v(-10). Solve -7*u + j*u + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 + 272*b**4 + 3456*b**3 - 824*b**2 - 10948*b - 6936 = 0.\nAnswer: -51, -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 2)**2 - (1 + sqrt(13) + sqrt(52)).\nAnswer: 13*sqrt(13) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/56*-22*9\/594?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 + 0*h**2 + 10*h**2)*(26*h + 6*h - 12*h)*(-30*h + 81*h + 11*h).\nAnswer: 21080*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 58*a**2 + 38*a - 1250. Calculate s(-59).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/21 + (-77)\/98 - -2. Sort -2\/5, 6, 2, m in descending order.\nAnswer: 6, 2, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + -1. Let r(s) = -s**3 - 8*s**2 - 3*s - 12. Let g be r(-8). Suppose 5*x + g = -3. What is the nearest to b in -2, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-38)*(-3)\/(-54)*9.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -44*j + 3. Let h = 7 + -10. Let i be r(h). Suppose i = y + 4*y. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3933 and 115644621.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - b - 2. Let r be g(-2). Let i be (8 - 0)\/(r\/8). Suppose -4*p = 5*q - 50 + 10, 2*q = 4*p + i. Calculate the highest common divisor of 64 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)*l\/(l\/l**(-2\/5))*l)\/(l**(-10)\/((l*(l*l**(-14))\/l)\/l*l)) assuming l is positive.\nAnswer: l**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35103201002 + 5?\nAnswer: -35103200553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18486.09 minutes in weeks?\nAnswer: 1.8339375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = 89*y - 155*y. Solve 0 = 13*m - 6*m + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -212, 10 in ascending order.\nAnswer: -212, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n + 235. Let w be u(32). Solve w = 4*c + 7*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c - 32. Let y be t(15). Let j = y - -145. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**4 + 45*k**3 - 69*k**2 + 27*k. Let z(g) = 4*g**4 - 23*g**3 + 35*g**2 - 13*g. Let m(n) = -3*i(n) - 5*z(n). Factor m(a).\nAnswer: 4*a*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 4. Let m(k) = 28*k + 20*k - 92*k + 21*k + 25*k - 2. Let h(z) = -2*m(z) - o(z). Let r(j) = -112*j - 2. Calculate h(r(v)).\nAnswer: 224*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17840, -17849, -17860, -17873, -17888, -17905, -17924?\nAnswer: -17945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003987 to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.8. Let s = -67.42 - -67.48. Let b = 0.2 + -0.3. What is the second smallest value in o, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(396) + sqrt(396) + -2) + (sqrt(11) - -1*(sqrt(11) + -2 - sqrt(11))) + sqrt(539)*-2.\nAnswer: -61*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 544\/2 + 0\/(-3). Let b be v\/44 - (-2)\/(-11). What is the third derivative of -5*q**6 + 5*q**2 + 14*q**b - 16*q**2 wrt q?\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-x + 2*x - 4*x)*(0 + 0 + x)*(-18 + 17 - 20)*(4*x - 6*x + 3*x).\nAnswer: 126*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-108)\/(-45)*(-25)\/(-390)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -79. Suppose 0 = 4*d + 4*o - 468, 0 = -p*d + 5*d - o - 359. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s - 2*s**4)*(-4*s + 4*s - 2*s) - 2*s**5 + 4*s**5 - s**5 + (s**4 + 2*s**3 - 2*s**3)*(0 - 2*s + 0) + 16*s**5 + 13*s**5 - s**5.\nAnswer: 31*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 3:47 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26454.\nAnswer: 2, 3, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 11*b**2 - 14*b - 23. Let o be v(-12). Let a(h) = h**3 + h. Give a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/48 - (-1473)\/36. What is the greatest common factor of t and 451?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g - 15. Let r be q(2). Suppose b = -r*c - 335, 2*c - 4*b + 125 - 13 = 0. Sort c, 2, 5, -5 in descending order.\nAnswer: 5, 2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 735*d**2 + 12201*d + 12939.\nAnswer: 3*(d - 227)*(d - 19)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*d + 20, -2*d - 3*s = -3 - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 34 = 2*y. Which is smaller: y or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 517575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3936418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405185 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227644487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 244?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/156 and -43\/240?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 - 16*c**2 + 334*c - 3180. Calculate m(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35170541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009493 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 811024 and 975104.\nAnswer: 4688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-8) - 99\/44)*-4. Solve 4*h - a = -20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, e: 6, k: 2}. What is prob of picking 2 k, 1 e, and 1 v?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y**3 - 91*y**3 + 51*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4951208292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.06 - -4. Let r = -0.16 - w. Which is the closest to r? (a) 4 (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*i - 0. Let u(z) = 3*z**3 - 10*z**2 - 5*z - 32. Let y(q) = -2*q**3 + 6*q**2 + 3*q + 16. Let v(t) = i*u(t) + 5*y(t). What is v(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 302.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.2. Let x = 0.1 + f. Let s = -11 - -7. Which is the second smallest value? (a) s (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 361568*u\/9 + 241048\/3.\nAnswer: -2*(u - 180786)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -p, -6*p + 1 = 12*i - 9*i - 17 - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 4. Let y be z(2). Suppose -y*r + 63 = -r. Solve -2*i + 11 - r = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14753761?\nAnswer: 11, 157, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*w = -2*x - 45, 133176*x + 2*w + 55 = 133171*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.96. Let x = s + -1.96. Let n = -2 - -3. Are n and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395 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 100 (base 2) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5, 0.2, -864?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:09 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**3 - 4*z**2 + 50*z + 275. Is h(10) a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299646878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -647934*h*k - 2*k + 602505 wrt h?\nAnswer: -647934*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 2*h - 56. Suppose -2*o - 5*j = 3*o + 580, h*o - 5*j + 372 = 0. What is o rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 5. Let x(t) = -3*t + 9. Let l(n) = -11*s(n) + 6*x(n). Suppose 0 = i - 4*h + 5, i = -i - 4*h + 14. Let o = -2 + i. Calculate l(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49727aa - -4?\nAnswer: -49727a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46410 (base 9) to base 5\nAnswer: 1442301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d + 1. Suppose 2*f + 83 - 91 = 0. Let h(t) = -3*t**3 + 5*t**2 + 5*t - 19. Let b(r) = f*h(r) - 20*q(r). Differentiate b(p) with respect to p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11748, -11576, -11436, -11328, -11252, -11208, -11196?\n\"Answer: -16*l**2 + 220*l - 11952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 23 = 5*z, -2*z - 9 = 4*w - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80214066 and 39006?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1))\/(480\/(-1320))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 16 - 5 + 2*g**2 + 380*g - 362*g. Is p(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -13*w + 0*w**2 + 7 + 3\/4*w**4 + 0*w**3. Differentiate d(a) with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4864*g + 10027. What is w(2)?\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745623.\nAnswer: 3, 82847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 8. Let n be f(-6). Let b = 3 - n. Let d be -1 + -1 + 6 - b. Solve -2*k = -2*p + 4, -7 = 4*p + d*k + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - 22\/5. Let d be 264\/n*4\/(-3). Let o be (-10 + -1)*(-3 - -2). Calculate the greatest common factor of d and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11592*a. Let m(b) = -4*b + 6. Calculate g(m(x)).\nAnswer: -46368*x + 69552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-126))\/((-70)\/((-350)\/35)*118\/(-18))\nAnswer: 2\/413","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -435, -882, -1337, -1800?\n\"Answer: -4*s**2 - 435*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 3906.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389479379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-3)*5628\/2144\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab4 - -12?\nAnswer: -aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) -1 (c) 3 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 less than 792674.5363?\nAnswer: 792674.1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 151, 134, 83, -20, -193?\n\"Answer: -3*u**3 + u**2 + u + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 82. Sort -2\/29, o, -3 in descending order.\nAnswer: o, -2\/29, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = -4. Let z be 105 - (0 + 0)\/w. Calculate the greatest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0492857842 rounded to 4 dps?\nAnswer: -0.0493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 932*l - 3723. Give n(471).\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -38, -148, -302, -500, -742, -1028?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 55 - ((-1 - 5 - 2) + 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 less than -0.283481?\nAnswer: -1.203481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0772 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 8. Let c(b) = -b + 7. Suppose -16 - 8 = 3*u. Let f be ((-180)\/16)\/(2\/u). Suppose n = -5*t + 32, 2*t = -5*n - 0*t + f. Calculate n*c(w) - 6*i(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 4*o**2 + 52*o + 107. Is y(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*v + l, 5*v + 290 = 1720*l - 1725*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 34 (c) -1648 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7073784 or -21221354\/3?\nAnswer: -7073784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*h + 7*h - 13324, 0 = 2*h + 2*o - 6668. What are the prime factors of h?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2 (c) 45\/7 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 + 3 = 0. Suppose -b = -k*x - x - 3, -2*b + 6 = x. Suppose -b*q = 2*u - 9, -3*u + q = 2*q + 4. Sort u, 4, 1 in descending order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 10*f**3\/3 - 111*f**2 + 177*f. Let r be n(11). Which is the nearest to 13? (a) r (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5, 4*o - 11 - 1 = 4*i. Let f be o\/((-4)\/(-4)) + -3. Solve -25 = f*j - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3 = 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -24*j + 80 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - 68 - (-1 - (-6 + (8 - 3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 - 74 - 31*r to the form p*r + w and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 614 - 51. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 4 (c) -6 (d) 0.467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 49\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/38)\/((-21)\/(-882)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334957*r + 664 = -167484*r - 167481*r for r.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 613200 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/10 + 27*c**3\/5 - 61*c**2\/10 - 1098*c\/5 - 208 = 0. What is c?\nAnswer: -5, -1, 8, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 35*g**2 - 45*g + 356. Calculate x(36).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113218*0.2.\nAnswer: -22643.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.69972 nanograms to kilograms.\nAnswer: 0.00000000000669972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 + 2\/(-2)). Let b(y) = y**3 + 24*y**2 - 50*y + 61. Let z be b(-26). Put z, -5, -3, i in descending order.\nAnswer: z, i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22252 + 2136163\/96. Calculate the common denominator of 139\/108 and c.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65\/3 + -22. Let n = -3.89 - 0.11. What is the closest to 3 in 2, n, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -5 (c) 0.5 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117097303 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 3*t**2 + 3 - 2*t**2 wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/4))**2)**(1\/6))**(15\/8) assuming p is positive.\nAnswer: p**(5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/8)\/(10\/(-1880))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**3*w**2 + 279653*v*w**3 - 408*w**3 - 6*w wrt v.\nAnswer: -3*v**2*w**2 + 279653*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from bymb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 5. Let h(x) = -4*x + 1. Let t be h(-1). Let b be p(t). Find the first derivative of b*u**2 + 0*u**2 + 2 - 2*u**3 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 68 + 4. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311 - 50031320?\nAnswer: -50031005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5a24b (base 13) to base 6\nAnswer: -3312412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) -25\/3 (c) -0.3 (d) -0.035 (e) 5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832 + -0.06.\nAnswer: 831.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14117442092062 plus 2?\nAnswer: -14117442092060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - o + 15, -2*s + 35 = -7*o + 2*o. Let c be ((-2)\/s)\/(5\/(-25)). Let j = 2\/99 + 293\/198. Which is bigger: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 313 - 937 = 0. Suppose 72*n - 12879 = -12879. Suppose n = -3*q - q + g. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 3*c**4\/28 + 8*c**3\/21 + c**2\/2 + 2*c\/7 - 2. Factor d(v).\nAnswer: (v + 1)**2*(3*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199 - -202. Suppose 0 = -5*y + 74 + 36. Solve -19*n + y*n = -o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 5, d: 2, p: 7}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 + -188. Solve 4*u + 34 - 50 = j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l**3 + 5*l**2 + 5*l + 37. Let h(k) = -9*k**3 - 3*k**2 - 3*k - 19. What is 5*h(u) + 3*o(u)?\nAnswer: 6*u**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -38. Let l = j + -28. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 13*u**2 + 5*u - 4. Let l(a) = -7*a**2 - 3*a + 2. Let p(b) = -6*h(b) - 11*l(b). What is the units digit of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 14 + 1)*(-1 + 0 + 2)*(10*a - 12 + 12).\nAnswer: -200*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 less than -18515?\nAnswer: -18569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3 - 9*p + 2 - 5. Let f(w) = -w**2. Determine n(f(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002252021 rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -165. Solve 3*t - 4*t = -s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b = -40*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1250 = 13*z - 16*z + t, -4*t = 5*z - 2055. Is z a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.778 and 304.8.\nAnswer: -1456.3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 434\/12 + 23\/(-138). What is the greatest common factor of v and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473951 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 830?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22324088 is divided by 14610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2135 + 64125?\nAnswer: 66263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 1}. Give prob of sequence pk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151023124 - 5?\nAnswer: 151023115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 - 92 - (13 + 3) - (4 + -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:08 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from {b: 11, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 10 = 2*g, -24*g + f - 1 = -23*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -1386, -3246, -5850, -9192?\nAnswer: -13266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = -1. Let l be (-6)\/(7\/z - -2). Sort -7, -3, l in ascending order.\nAnswer: -7, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 591, 1294, 2263, 3492?\nAnswer: 4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:37 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**3*f**3*y**3 + 25*d**3*f**3*y + 2*d**3*f**2*y + 12*d**3*f + 37*d*y**3 wrt f?\nAnswer: 66*d**3*y**3 + 150*d**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19138 divided by -21.\nAnswer: 2734\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 130079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -2*f, 5*f + 1 + 4 = -5*z. Solve -9 = -t - f*s, -t - 26 = -6*s + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.109 milligrams in nanograms?\nAnswer: 413109000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 2*g**2 - g + 2. Let k(r) = 1957*r**3 + 4*r**2 - 651*r - 4. Let f(p) = -2*b(p) - k(p). Find the second derivative of f(x) wrt x.\nAnswer: -11730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 89. Let h be 4\/(6 + -4) - (-1 + r). Solve h*v = 7 + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from kdkbwbkukkkyuwubky.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -9. Let n = 26 - 16. Let l be ((-15)\/n)\/((-1)\/c). What is the greatest common divisor of l and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167*t**2 - 1035734 + 1035734 + 5*t)*(-3*t - 1 + 1).\nAnswer: 501*t**3 - 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(53*u + 242 - 242) - 57*u + 27*u + 27*u to p + y*u and give y.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**2\/2 + 5*d - 1. Let g be v(0). Solve 0 = -2*h + 1 + g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 1, j: 2, k: 1, s: 7, e: 3}. What is prob of sequence sd?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 3*p - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 9, 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 47*h - 785. Let s be y(21). Is s >= 1418\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s + 2 - 28*s**2 - 20*s**2 - 37*s + 8*s + 14*s to u + y*s**2 + l*s and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 3, 2, -9 in ascending order.\nAnswer: -9, 2, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2191674 - 42437. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/425 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 62. Let k(c) = -464*c**3 - 4*c - 3. What is the tens digit of k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(637) + sqrt(637)) + -4)**2.\nAnswer: 504*sqrt(13) + 51613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -34918*j - 3 + 34996*j - 15 as t*j + x and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = o, 0*k - 8 = o - 2*k. Let d = -14 + 30. Suppose 4*z - 5*z = o*j + d, 5*j = -z - 46. Which is smaller: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*c - 120, 5*c = 3*u - 8*u + 510. Calculate the least common multiple of u and 168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12999 + -11431. Put -2, d, -5 in ascending order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 8. Let h be -3*(-3 - 32\/(-6)). Let t be q(h). Suppose 5 - t = 2*n. Solve -n*r - 2 = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2600841.\nAnswer: 3, 37, 23431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 8*a + 3*k - 18, 5*k = 4*a - 44. What is the highest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 6*f - f + 3*f**3)*(-3 - 3 + 5).\nAnswer: -3*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*l**3 + 24073*h**3*l**2 - 112*h**2 - 2*h*l**3 + 317 wrt h?\nAnswer: -6*l**3 + 144438*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29336.82 less than 0.4?\nAnswer: -29336.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 117617725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 + -1.75. Let p = 0.85 - u. What is the third smallest value in -2, p, 1\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 51.2.\nAnswer: -50.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6903304.\nAnswer: 2, 862913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7529628441?\nAnswer: 3, 2509876147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4 - 38424*v**3 - 25910499*v**2 + 78000420*v - 52051500 = 0 for v.\nAnswer: -645, 1, 2, 13450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-5900)\/(-180) - (-2)\/9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o + 2. Let h be g(1). Put 71, 0.2, h in decreasing order.\nAnswer: 71, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214440477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-470)\/(-282)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -331 - -326. Which is the biggest value? (a) -2\/13 (b) d (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 3*z)*(5 - 4 + 3)*(-52*z - 11*z - 37*z) + 2*z**2 + 4*z**2 - 5*z**2.\nAnswer: 801*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01826726593 to five dps.\nAnswer: 0.01827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**5 + t. Let r(l) = -9*l**5 - 35*l**3 - 6*l + 455. Let j(h) = -r(h) - 5*x(h). What is the second derivative of j(f) wrt f?\nAnswer: -120*f**3 + 210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5)*470\/(-329))\/(6\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 7.3. Let r = 7.5 - p. Sort 6\/5, 2, r.\nAnswer: r, 6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5695 and 312421.\nAnswer: 26555785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z**2 + 0 + 24*z**2 - 3 to i*z + a + t*z**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.61843 - -4.71843. Let m = 8.5 + -11. Let u = -2 - m. Sort 0.2, 0.6, u, z.\nAnswer: z, 0.2, u, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 13. Let c be 1*3\/(-3) + -1. Let m be 15\/9*(c - 1). Do t and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.046\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3409 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: What is the second derivative of -333*x**4 - x**3 - 981*x wrt x?\nAnswer: -3996*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -125*b - 3. Let h(v) = 62*v + 1. Let c(l) = -5*h(l) - 3*y(l). Let n be c(-10). Let g = 1041 + n. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 - -3) - -6) + -171 + 167?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45, -85, -123, -159, -193, -225?\n\"Answer: u**2 - 43*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6172754ns in milliseconds?\nAnswer: 0.0000006172754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 13442830.\nAnswer: -215085280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 961*y**3 + 0 - 839*y**3.\nAnswer: 122*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/219449 and 46\/2413939.\nAnswer: 2413939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/2, 0.07, -2, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 136*k + 1385. Is v(137) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 4*n + 3. Let z be c(2). Suppose i + z = -164. Let a = i + 248. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19557735 divided by 3.\nAnswer: -6519245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from {e: 4, y: 2, w: 1, f: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = 4*v + k, 4*v + 2*k = -8. Find the common denominator of (-27)\/21*(-2)\/12 and v\/(-4) + (-31)\/(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2 (b) -3 (c) -1\/3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -3386993.\nAnswer: 1016097.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/(243\/6)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*m**2*t**2 + 2*m**2*t + 5*m**2 - 449*m*t**2 - 5*m - 123 with respect to t.\nAnswer: 48*m**2*t + 2*m**2 - 898*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 76, 89, 104, 121?\n\"Answer: g**2 + 8*g + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 4*r**2 + 7\/12*r**4 + 1\/12*r**6 - 2\/3*r**3 - 3\/10*r**5 + 0*r + 0 - 1\/105*r**7. Factor x(n).\nAnswer: -2*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 - -4\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 178548, 178628, 178722, 178836, 178976, 179148, 179358?\n\"Answer: l**3 + l**2 + 70*l + 178476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*r + 5 = 5*r, -2*w - 20 = -2*r. Let y = w + 17. Solve -1 = -3*z - 5*c + 25, -4*c + y = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*n - 4, n + 16*v = 21*v - 12. Let u(k) = -3*k**2 - 2*k + 1. Let w(m) = m**2 + m. Let r(o) = u(o) + 5*w(o). Calculate r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 11 + 7, v - t - 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 27*f - 97. Give d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039854 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-48)\/(-18))*(-33)\/(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {w: 4, s: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 10*m + 6. Let i = 14 - 8. What is the tens digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*a + 14, -3*p + 4*a - 7*a = -78. Let f = p + -24. Solve -2*h - h = f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 172cbb + -7?\nAnswer: 172cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*c**2 + 26*c**2 + 22*c**2 + 25*c**2 - 73*c - 101*c**2 in the form m + a*c**2 + n*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-30)*(-440)\/(-924)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129431\/20 or -6471?\nAnswer: -129431\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 358*s**2 + 4 - 9 + 292*s**2.\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/9, 0.88, -1\/214, 9\/7, 5?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4074 divide 640120374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -458.23 * 137.\nAnswer: -62777.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -5 - (42 - 9 - 21)) + 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*g**3*k + 2*g**2*k**2 - 2*g*k - 8541*k**2 wrt g.\nAnswer: 369*g**2*k + 4*g*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 48992935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 48 = -2*g - 51*h + 53*h - 90, -168*g = 3*h + 648 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/110 and 75\/92.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*j**4 - 81\/5 - 108\/5*j**2 - 6*j**3 - 162\/5*j.\nAnswer: -3*(j + 1)*(j + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsssssssjsjsss. Give prob of sequence js.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -5690 and -5682 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:00 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3353 is divided by 198?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(83751 + -2 + 1). What is d rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200920063 take away 25?\nAnswer: -21200920088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -3. Let r = -8 + 6. Which is the nearest to 0? (a) r (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(10*s**3 + 3 - 3) + 5*s - 5*s + s**3 + 3*s**3 - 1 - 5 - 4*s**3.\nAnswer: 20*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 165223430 - 1?\nAnswer: 165223426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -5*f - 3*p, -5*f + 0*p + 2*p + 300 = 0. Let y = -57 + f. Solve 0 = -4*v + y*l - 3 - 0, 4*v = -3*l + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 658003.8 decades?\nAnswer: 65800.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -838\/81 - 242293\/405. Let g = w - -608. Which is the third smallest value? (a) -1.7 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, -46156, 18, 0.2 in increasing order.\nAnswer: -46156, -1\/4, 0.2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315.03314 - -0.06686. What is k rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0 + 1\/20*r**5 + r**3 + 21*r - 7\/12*r**4 + 3*r**2. Let o = 15 + -9. What is f(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1146.1 and 97.\nAnswer: -111171.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + f - 3. Let l be u(-2). Suppose 13 - 5 = 3*p - m, l*m = -4*p + 28. Put p, -6, -2 in descending order.\nAnswer: p, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332262 < 4332268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 582143.0497\nAnswer: 582133.0497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461010172.\nAnswer: 2, 7, 149, 110501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 228097, 228094, 228089, 228082, 228073?\n\"Answer: -c**2 + 228098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152884.2 rounded to the nearest ten?\nAnswer: 152880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, d: 6}. What is prob of sequence zdd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**6\/15 - 4*i**2 - 5*i. What is the first derivative of c(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35547960 and 586600.\nAnswer: 177739800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = 30. Let i be (-36)\/(-10)*40\/(-3). Let m be i\/(-15) + 2\/a. What is the greatest common divisor of 21 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2228*s**4 + 8*s**3 + 765*s**2 + 24. Let y(n) = -n**4 - 2*n**3 - 6. Let j(d) = t(d) + 4*y(d). Find the third derivative of j(k) wrt k.\nAnswer: 53376*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 136 = 3*f. Suppose f = 5*q - 76. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j**(3\/5)\/j)\/j)))**3)**9*(j\/(j\/(j\/(j\/(j\/((j*j*j**(-4)\/j)\/j)*j))*j*j*j))*j\/(j\/j**(-5)*j*j))**(1\/2) assuming j is positive.\nAnswer: j**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 568194*m**2*p**2 + 440*m**2*p + 1810925*m*p**2 - 196*m wrt m.\nAnswer: 1136388*p**2 + 880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w + 1. Let t(f) = f. What is -21*t(n) + 3*z(n)?\nAnswer: -3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33102876?\nAnswer: 2, 3, 17, 162269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102416 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*n - 38*n + 1275 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2 - 0)\/1. Suppose -5*g = -0*g - 65. Let o = g - z. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**6\/30 + 3*h**5\/20 - 2*h**3\/3 - 4*h. Factor x(y).\nAnswer: -y*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 6) to base 9\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1295*v + 50638. Determine i(-39).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 + 6*w + 2. Let n be k(5). Suppose -g - 5*y = -n, 125 = 5*g + y - 35. Suppose -7*x + g = -3*x. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -138, 0, 180, -1, -0.1 in descending order.\nAnswer: 180, 0, -0.1, -0.3, -1, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -9 - (-5 - 2 - (-3 + -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-4 - (-7 - (-9 + 0)))) + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 0*v - 2*v + (2*v - v + 0*v)*(-5 + 3 + 1)*(-1 - 2 + 5) in the form r*v + s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 17 (c) -7 (d) -1036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hahi when four letters picked without replacement from {i: 3, a: 5, h: 7, w: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 - 4. Is h(3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v**2 - 5*v**2)*(-v**3 - 3*v**3 + 3*v**3) + 2*v**3 - 2*v**3 - 7*v**5 + (3 + 6 - 2)*(0*v**2 + v**2 + 0*v**2)*(-2*v + 2*v + 3*v**3).\nAnswer: 15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/3*m**3 + 4\/3*m**2 - 2\/3*m = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**25)**(-20)*(g**(-3)\/g**3)**(5\/17) assuming g is positive.\nAnswer: g**(-8530\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -101, 3, 2, 0, 10, 44 in ascending order.\nAnswer: -101, 0, 1, 2, 3, 10, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 31 - 20*j**3)*(5 - 2 - 4) - 2*j**3 + 3*j**3 - 3*j**3 as h + y*j + d*j**2 + m*j**3 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 2769820*z\/3 - 1917975708100\/3.\nAnswer: -(z + 1384910)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10139425 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 6. Let r be m(5). Let b = 13 - -7. Let q = r + b. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 2. Let d(z) = 1 + a*z**3 + 0*z**3 - z - 2*z**2 - 1. Give d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5090040059 + 54641580122463\/10735. Let r = 1\/4294 + m. Calculate the common denominator of (53\/8)\/(0 - 1) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15934, -15937, -15940, -15943?\nAnswer: -15946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 6:19 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, -451, 20, -2.\nAnswer: -451, -4, -3, -2, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 41 = -d - 6*a, -d + 20 = -5*a. Suppose 2*s - 618 = 372. Calculate the greatest common factor of d and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 5. Let t(k) = 5 - 19 + 28*k - 20*k - 17*k. Suppose -5*i - 12 = -i. Let y(w) = i*t(w) - 8*q(w). What is y(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {h: 1, x: 1, c: 11, i: 2, k: 3, s: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2997 - 2997 - 1375*z + (-9*z + 13*z - 3*z)*(-3 + 5 - 1).\nAnswer: -1374*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 0.1 (c) 0.0434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + v - 1. Let g = -4218 - -4215. Let l(u) = u**2 + 1. Give g*t(f) - 3*l(f).\nAnswer: 6*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/675*(10 + (-232)\/16). Let k = -24\/5 - -91\/20. What is the closest to k in i, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + 15\/18. Let j = 58 - 53. What is the third biggest value in j, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 206 = k. Suppose -2*v + 0 + k = 3*a, 5*v - 238 = -a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 46, -34, -2 in descending order.\nAnswer: 46, 5, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -501.52 - -510. Let t = -8.41 + j. Sort 3\/10, t, 1.\nAnswer: t, 3\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587*y**3\/7 + 644*y**2 - 748*y\/7 + 32\/7 = 0. Calculate y.\nAnswer: 2\/23, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-3))\/(144417\/(-6552) + 22).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2481904.2 to the nearest ten thousand.\nAnswer: -2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2259, 5, -36 in decreasing order.\nAnswer: 5, 0, -36, -2259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.997952l?\nAnswer: 9997.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1290, -2296, -3304, -4314, -5326?\n\"Answer: -g**2 - 1003*g - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u - 1. What is h(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -5 + 2*d - 3*d**2 + 2*d**2 + 1 + 1. Calculate i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54191, -54190, -54187, -54182, -54175, -54166, -54155?\n\"Answer: p**2 - 2*p - 54190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18902, -37879, -56880, -75899, -94930, -113967, -133004?\n\"Answer: h**3 - 18*h**2 - 18930*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5\/2))\/l**(-2\/3)*l**15*l**(-3\/4)*l assuming l is positive.\nAnswer: l**(233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(18)\/(2*sqrt(6)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*o = 2*v - 229, 2*v - 3*o - 223 = 0. Suppose 4*a = 3*t - v, 4*t + 6 - 148 = 5*a. Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 8. Let m(c) = c + 2. Let g(w) = -6*l(w) - 22*m(w). Differentiate g(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 + 622670*b - 622665 = 0. Calculate b.\nAnswer: 1, 124533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 11*w + 11. Suppose 20 = 5*i, 5*o + 6*i = 3*i + 57. Calculate h(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34403193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:32 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:32 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3101 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 7*j**2 + 9*j + 3. Determine r(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z**2 + 6*z + 3. Let b be n(-4). Suppose -y = -s - 9, 4*y - 3 = 2*s + b. Is (4\/y)\/(4\/1266) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1451856 and 139\/1633338.\nAnswer: 13066704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**7\/210 + y**5\/60 + 3*y**2\/2 - 4. Let c(q) be the second derivative of b(q). Factor c(p).\nAnswer: -p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.728*-5\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/8256 and -37\/192.\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(88)\/(sqrt(16)\/sqrt(2)) + sqrt(176) + 5.\nAnswer: 5 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*m - 57*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 - -0.23. Let o = 0.8 - l. Let m(s) = -s**3 - 6*s**2 - 19*s - 72. Let b be m(-5). Sort b, -4, o.\nAnswer: -4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6565878 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**2 - 7. Let s(w) = -w**2. Determine x(s(a)).\nAnswer: -9*a**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 18.07. Let u = i + 0.03. What is the nearest to u in 3, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427543 and 1145?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -192. Suppose 3*w + w = 0. Suppose w*q = -4*q + k. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 599 + 53 = 0. Let w = v - -149. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259 - 13*c**2 + 1259.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 19*m + 12 = 0. Let s be 11\/(55\/(-10)) + m. Solve c - 17 = -3*y, s = 3*y - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15598240 by 14660.\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*n + 9 = 0, 3 = -16*x + 15*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**6 + 11*y**5 - 3*y**3 + 5576*y**2.\nAnswer: -120*y**3 + 660*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.71 + -36.29. Let j be (-16)\/(-40)*(-165)\/(-363). Sort 0.3, j, m in descending order.\nAnswer: 0.3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61814*h**3*o**2*s**3 - h**2*o**2*s**3 - h**2*s - 8559*h*o**2*s**3 + 2*h*o*s wrt h.\nAnswer: -370884*o**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2445, 2783, 3123, 3465?\nAnswer: 3809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/(-60) - (-10 - -10)\/(9\/3)\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12929, 103470, 349245, 827870, 1616961, 2794134, 4437005, 6623190?\nAnswer: 9430305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 541.1*-6816\nAnswer: -3688137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1493, 1295, 997, 605, 125, -437, -1075?\nAnswer: -1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 7 - 5 + 2*w + (6 - 2 - 2 + (28 + 12 - 1)*(-2 + 3 - 2))*(5*w - w + 0*w) to the form q + f*w and give f.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuixuuuuiuxu. What is prob of picking 1 x and 2 u?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.8 - 6.24. Let m = 0.4369 + a. Round m to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 + 22*a**3\/9 + 176*a**2\/9 - 160*a\/9 - 512\/3 = 0. What is a?\nAnswer: -4, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 838836*g**2 - 17754 wrt g.\nAnswer: 1677672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 70 = 490. Which is bigger: 18 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399.4 + 426.4. Let o be (-12)\/7 - (-2 - 0). Which is the third biggest value? (a) 3 (b) o (c) -4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - (1 + 15 - (42 - 34)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 10*y - 24. Let f be a(-6). Suppose 2*u + f*u = -s + 8, -4*s + 41 = -u. What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2472823*i**2 - 2472823*i**2 + 41*i**3 + 41 to the form l*i + h + r*i**3 + t*i**2 and give h.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(2\/155)\/((j**4\/j)\/j**9))**(-19) assuming j is positive.\nAnswer: j**(-17594\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447014995.\nAnswer: 5, 7, 19, 109, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {y: 2, x: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/707 or 1?\nAnswer: 25\/707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 27 + -28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*w + 219*w + 52*w**5)*(-2 + 1 + 0) - 4 + 0 + 2*w**5 + 0.\nAnswer: -50*w**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*47.6311.\nAnswer: 190.5244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + 5*(4 + 2 + sqrt(252) + sqrt(252)*-3 + sqrt(252)) + -3)**2 + -4.\nAnswer: -1500*sqrt(7) + 6920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-4)\/24*-4. Let x be 9\/(-68) - 0 - k\/8. Sort x, -5, 1, -1\/5 in decreasing order.\nAnswer: 1, x, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + sqrt(3))**2 + -5 - (sqrt(3) - (sqrt(3) - (0 + sqrt(3)*-2)))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 1 o when three letters picked without replacement from oiksojj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-20))\/(12\/1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 251. Let w = -625 + 625. Sort x, -5, w.\nAnswer: x, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -20)*(0 + 2\/9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -185, 4, 0, -3 in decreasing order.\nAnswer: 4, 1, 0, -3, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43a23 + 94?\nAnswer: -4395c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 - 11 - (109 + -19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11*s - 23. Let u(w) = -w. Let k = -1 + -1. Calculate the smallest common multiple of p(-3) and u(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 7 - 2)*(31 - 15 - 5)*(70 + 78 - 21)*(-w + 6*w - 3*w) as l*w + n and give l.\nAnswer: -30734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 17. Let k(y) = 4*y + 16. Let g(s) = -3*a(s) + 4*k(s). List the prime factors of g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12 - 32*o + o + 47*o - 4*o**2 + 3*o**2. Let v = -1157 + 1172. Give s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4 - 58*i**3 = 0.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 8:15 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/10)\/m)\/(m\/(m*m\/m**0*m))*(m\/m**1)**(-22) assuming m is positive.\nAnswer: m**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + (7 - (-7 + 15 + -5 + 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78888376 by 4.\nAnswer: 19722094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 1122*k**4 + 1120*k**3 + 1122*k**2 - 1121*k = 0. Calculate k.\nAnswer: -1, 0, 1, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.99 rounded to 0 decimal places?\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 8. Suppose 0*h - 5*h = 4*h. What are the prime factors of d(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0534 take away 1232832787?\nAnswer: -1232832787.0534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -6. Let j = -19 + 38. Calculate the highest common factor of l and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - (-7 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.3 (b) 92751 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*c = -469, -c = 2*r - 0*r - 311. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21040583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*c**4 + 3744*c**3 - 560*c**2 - 78400*c.\nAnswer: 4*c*(c - 4)*(9*c + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 77 = 5*l - 6, 0 = 2*l + 4*b - 44 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i = 32*i - 41*i + 1105 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + 0*g**5 + (4*g - 3*g - 6*g)*(-g**4 - 4*g**2 + 4*g**2) + 3*g**5 - 2*g**5 + g**5.\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 61*b**3 - b + 44*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10.23. Let t = -4.0460415 - -3.81605. Let l = n + t. What is l rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + m - 1)*((2 + 1 - 4)*(0 + 4 + 0) + (6 + 3 - 5)*(3 - 1 + 1 + (1 - 1 + 1)*(-1 + 3 - 1)))*(-m - m + 0*m) in the form p*m + w + t*m**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 10. Let n be o(0). Suppose 9*t - n*t = -211. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7631 and 1248?\nAnswer: 9523488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 60663.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-1 + -6*1*sqrt(77))\/((-1*((sqrt(35) - sqrt(560)) + sqrt(35)))\/sqrt(5)).\nAnswer: -7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + -0.05. Let l = h + 0.1. What is the closest to -0.1 in 0.3, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11185 divided by -5?\nAnswer: -2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28724673 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 - 9 = 0, -18 = 4*y + 5*n. Is -3\/2 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -60 - m - 52 + 112 - 36*m**2. Give d(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 14. Let q = -20 - -29. Let a be w(q). Let z be ((-38)\/(-4) + 1)*(-21)\/(6762\/(-184)). Solve -i = -a*s - z, 0 = 3*i + 2*s - 5 + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 106\/13433?\nAnswer: 106\/13433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(48) + 3*(-1 + sqrt(48))) + 0)**2.\nAnswer: -1536*sqrt(3) + 12432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -228*n**4 + 7 + 39*n**3 - 9 + n - 37*n**3 - 3*n + 3*n + 2*n**4 + (5 - 3 - 1)*(-n**4 + n**4 + 2*n**4) + 5*n**4 - 3*n**4 - 3*n**4.\nAnswer: -225*n**4 + 2*n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/39 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215 - -212. Let j(o) = 7*o + 2. Let b(y) = -4*y - 1. Calculate q*j(a) - 5*b(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let k = -7 - -11. Suppose k*n - 3*a = 11, -2*n = a - 0*a - 3. Let w(i) = 6*i - 6*i - n*i**2. Calculate d(w(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 1177937*y - 9423619. Calculate g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -85, -43, -0.14?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56696644*t**3 + 17564666 wrt t.\nAnswer: -170089932*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3713.74 - -3748. Let t = 34 - n. Let f = 0.25935 + t. What is f rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 3157.74?\nAnswer: 3157.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 18*q**3.\nAnswer: q**3*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 1365.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4*m**2 - 6975*k**4 + 4577*k**2*m**2 - 3*k**2*m wrt k.\nAnswer: 24*k*m**2 - 167400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:13 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 16*s**2 + 18*s + 22. Let b be m(-15). Let x = b - -43. Solve -5 = -5*c + x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 28296600.\nAnswer: 905491200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = 91*m + 656 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 10*t**2 - 33*t + 40. Determine o(13).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**4 + 4*n**3 - 27*n**2 + 28*n - 10. Let u(c) = c**4 - 28220 + 28220 + c**2. Let v(h) = -g(h) - 3*u(h). Suppose v(j) = 0. What is j?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqwhhyyqwwwwww. Give prob of sequence qwqy.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - 9) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q + 447. Calculate y(29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r. Let c be d(2). Suppose 125*b - 160 = 115*b. Calculate the greatest common factor of b and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -127, 3, 6, -0.1, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36507892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**21\/m*m))\/m**(-1\/16))\/(m\/m**(-10\/3))**(-16))**(4\/9) assuming m is positive.\nAnswer: m**(2371\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.9 - -7.9118. Let t = g - 89.4118. Let n = -81 - t. Round n to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180928876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*j - 148704 - 148697 + 2*j**3 - 148700 + 446101.\nAnswer: 2*j**3 + 107*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*x + 2*y = 95*x + 4, 4*x + 471*y = 474*y + 1 - 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1112113202?\nAnswer: 1112113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.2, 41\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 - 30*n**4 - 774*n wrt n.\nAnswer: 80*n**3 - 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24, -3, -33, -0.5, -112?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 17, 58.\nAnswer: -41, 17, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -97. Let d be (-9)\/(-2)*(-13)\/(c\/(-34)). Calculate the highest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*g - 45 + 140, -2*g - 3*r + 125 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 4*x - x**3 + 2*x + x + 3*x**2 - 4. Let f be a(-3). Let y(g) = 20*g**2 + 2*g + 1. What is the units digit of y(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1857712*x + 5398675 wrt x?\nAnswer: 1857712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2135.6 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + -116 + 235 + -153.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1964 and -0.5?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*d + 5*j - 166, -4*d - 2*j + 128 = 0. Sort d, 0.02, 1\/5 in increasing order.\nAnswer: 0.02, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -608768, -608766, -608762, -608756, -608748, -608738?\n\"Answer: u**2 - u - 608768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-693)\/(-462)*(-10)\/(-18).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2 and 77\/1072992?\nAnswer: 1072992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 14*a**2 + 95*a + 35. Calculate m(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.86 - -78.54. Let u = -79 + s. Let j = -4.8 + u. Which is the closest to -1? (a) -1\/7 (b) j (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:15 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 86.0261um?\nAnswer: 0.00860261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3\/8, -0.2, -356, -43, -0.7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1938*a**3 + 113*a**2 + 6912015*a wrt a.\nAnswer: -11628*a + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*p = -1502, t - 731 = 5*p - 3*p. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/4659 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2) + -1 + -2 - 4*(sqrt(2) + -1 - sqrt(2))))**2.\nAnswer: 12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -203*f + 80*f + 130*f + 148. Calculate d(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -0.1, -11\/27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -192, -2840, -5488, -8136?\n\"Answer: -2648*k + 2456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*d - 2*d**2 + 5*d**3 - 228*d + 3*d**3 + d**3 - 3*d**3 + (-4*d**2 + 0*d**2 + 6*d**2)*(2 - 2 + d) + 3*d**3 - 5*d**3 + 4*d**3 - 3*d**2 + 3*d**2 + 2*d**3.\nAnswer: 12*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8508620 to the nearest integer?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 divided by -36?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 3*a**2 + a + 2. Let l be o(3). Suppose -3*q = -2*b + 19, 4*b = 9*q - l*q + 32. Solve 6*d - 31 = 2*c + d, -d = -b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9 - 10 + 239997*i**3 + 0*i + 2*i. Let b be v(1). Suppose b = -5*f + 2*t, -189423 = 5*f - 3*t + 50574. What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/390 and 119\/9734556.\nAnswer: 48672780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-252))\/(-1))\/(28\/2940*15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443905 = -6578*g - 49445 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12541450661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 424, 398, 374, 352, 332, 314?\n\"Answer: o**2 - 29*o + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -3)*(6 - 49\/14). Solve -3*r + 0*r - v*a = 28, 2*r = -2*a - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*s**5\/7 - 401874*s**4\/7 + 17240382*s**3\/7 - 252100712*s**2\/7 + 1428537345*s\/7 - 2744423550\/7 = 0 for s.\nAnswer: 5, 183\/11, 3278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -25*m - 63. Let i(u) = -11*u - 28. Let q(k) = -9*i(k) + 4*j(k). Let f(x) = -30*x**2. What is q(f(r))?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**6\/60 - q**5\/60 + q**4\/6 + q**3\/2 - 4*q**2. Let y(l) = l**2 - 6*l - 2. Let g be y(5). Let r = 5 + g. Determine s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224 + 459. Suppose x = 4*b + b. Suppose 21 = 4*i - 3*f, -3*i - 2*f - 2*f = -b. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 4. Suppose 3*s - 5*s = 2. Let j(o) = o + 1. Let w(l) = s*f(l) + 4*j(l). Let y(r) = -51*r + 109*r - 59*r. Determine y(w(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -96461*n + 1929218. Calculate a(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(275) + -1 + sqrt(275) + -3 + (-1 + sqrt(275) + 3 - sqrt(275)))*6 + 4)*-5)**2.\nAnswer: -528000*sqrt(11) + 15888400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + -45 + 57 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let m = j - -2.9. Let r be ((-12)\/28 - -1)*(-6)\/8. Which is the closest to m? (a) -3 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582 = 9*d - 11*d. What is the derivative of 84 - d*j**4 + 4*j + 578*j**4 - 290*j**4 - 18 wrt j?\nAnswer: -12*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l. Let a(x) be the first derivative of x**5\/60 + 3*x**2\/2 - 5. Let k(z) be the second derivative of a(z). What is f(k(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 65, 0, 1, 26, -6 in increasing order.\nAnswer: -6, -5, 0, 1, 26, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-24)*-9*-2. Let a(y) be the third derivative of 3\/2*y**g - 1\/60*y**5 + 0*y + 0 + 0*y**4 + 8*y**2. What is the derivative of a(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0744075 rounded to three decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 + 191. Suppose 5*s + 4*h - 6 = -0*h, 2*s - k = -h. Solve 3*o = -s*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 45*v**2 + 357*v + 182. Calculate o(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n*o**2*w**2 - 12*n*o + 389068*n*w - 10*n - o**2*w - 576*o**2 - 2*o wrt w?\nAnswer: -6*n*o**2*w + 389068*n - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*x - 22*x + 15*x to the form h*x + n and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 700456.5 centuries in decades?\nAnswer: 7004565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1a1a3c (base 13) to base 15\nAnswer: -d0c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 + 12*t - 15. List the prime factors of q(8).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/56*-2)\/(378\/36)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/65)\/(1 - -1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6 - 248\/(-186)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/25 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15110 by -7555.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6206621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(-6\/7)\/((v\/(v\/(v\/v**(3\/4)*v)*v*v*v))\/v**10) assuming v is positive.\nAnswer: v**(1597\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 377*t**2\/2 + 4189. Let f(n) = 3*n**2. What is s(f(q))?\nAnswer: 1131*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 5?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-g**2 - g**2 + 3*g**2)*(-8*g - 5*g - 19*g)*(2*g + 2*g - g).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.042 at most as big as -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6905*-0.992.\nAnswer: -6849.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -89.\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74612 is divided by 73790.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 295\/(-30) - (-6)\/(-4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8805 minus -5?\nAnswer: 8810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 393798939.7 rounded to the nearest 10000?\nAnswer: 393800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j + 40*j + 8*j)*(5 - 5 - 3*j + (-2*j + 2*j + j)*(-3 + 0 + 1) - j + 4*j - 2*j + 3 - 3 - 2*j).\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.494806 - -0.015.\nAnswer: -0.479806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/172, -157\/9, -4\/5 in decreasing order.\nAnswer: 4, 3\/172, -4\/5, -157\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 27 + 13 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 140?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 0.3. Let y = o - -0.4. Is -2 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from iikiikki?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.10104 - 0.1010421305. Round m to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 711*z**4\/4 + 1919*z + 59. Find the first derivative of f(t) wrt t.\nAnswer: 2133*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 - -0.14000036. Round b to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 5, -77, -8, -11 in ascending order.\nAnswer: -77, -11, -8, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510\/(-2265)*(6\/(-8))\/(42\/(-4))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + -1*sqrt(1700) + -3).\nAnswer: -30*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 160, 167, 176, 187?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 407521*y - 2852580. Calculate h(7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -5) + (30 - (-5 + 129))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-12))\/(2\/(-16)))\/(35*711\/2765)\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5*k - 3. Let l be z(7). Suppose -5*u + 17 = -0*u - 2*a, -l = -3*u + a. Suppose -u*x + 2*b + 130 = 4*b, -3*x + b + 78 = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 5*m - 2. Let c be z(2). Suppose 11*h = c*h + 35. Solve -n - 2*n - 2*l - 6 = 0, -3*n + h*l + 15 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4467 is divided by 73?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**7\/525 - 9*y**6\/100 + 81*y**5\/50 - 279*y**4\/20 + 324*y**3\/5 + 4*y**2 - 322. Solve t(q) = 0 for q.\nAnswer: 3, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 79.67. Let a = -0.3344 + h. What is a rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33684 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585496 is divided by 4879?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/41383 + -82756\/206915. Which is the fourth smallest value? (a) -11 (b) k (c) 2\/7 (d) 80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - (57 - 38)) + -51?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 3*f**2 - 3*f + 4. Calculate o(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 672989627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -4\/3*p**3 + 0 - 4*p**2 - 1\/12*p**4 - 3*p. Determine l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502310?\nAnswer: 2, 5, 50231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2. Let f(o) be the first derivative of -2*o**3\/3 - 1. Calculate q(f(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3761*b + 15026. Calculate u(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 231, -5, 0, -6, 102 in ascending order.\nAnswer: -6, -5, 0, 9, 102, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 193943 and 193982 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwnttuwtoownwouwt. Give prob of sequence nwo.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7625 is divided by 921?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-2)\/(sqrt(14)\/(sqrt(2) - sqrt(8))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(209))\/sqrt(11) + -4 + 4 + (sqrt(2299) - (sqrt(2299) - -5*(sqrt(2299) - sqrt(2299)*1))**2).\nAnswer: -2299 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 7*l - 67. Let t be g(-13). Suppose 13*h + t*h - 7608 = 0. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*x + 375 = 0, 2*w - 4*w + 5*x = 278. Let d = -54 - w. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 133, 209, 343, 535?\n\"Answer: 29*s**2 - 11*s + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 4\/3 (c) -2\/7 (d) -1\/9 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28328 - -28328.5. What is the closest to -0.03 in -2\/45, k, 0.14?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 8*s + 0*s)*(-3*s**2 + 10 - 199*s + 201*s - 3*s**2).\nAnswer: 66*s**3 - 22*s**2 - 110*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.04, -111, -14\/23, 0.07?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2 + 8*y + 24. What is l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 5. Let s be r(-3). Let k(h) = 2*h**3 + 5*h**2 + 4*h - 1. Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*-9*2\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -9. Suppose w - 48 = 5*d + 32, l*w - 216 = 3*d. Does 14 divide ((-4)\/(-10))\/(1\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2172, -2171, -2168, -2163, -2156, -2147, -2136?\n\"Answer: a**2 - 2*a - 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641561?\nAnswer: 7, 11, 47293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -18339 - 8351. Suppose -9*j + x + 3830 = 0. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182007 is divided by 910.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014742675 to seven dps.\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1010916, 2021981, 3033046, 4044111?\n\"Answer: 1011065*k - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -9, 5 in ascending order.\nAnswer: -10, -9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d - 11. Let r be m(-17). Let f = r - 88. Find the first derivative of 3 - 16 - 32*a**2 + 7 - f wrt a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 770*r - 21552. Calculate i(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*d = -d + 318, -5*d = 20. Let g = 144 - z. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 5. Let i(a) = a**2 + 10*a - 229. Let g be i(-21). Let n(y) = 0 - 3 - 6 + 6. Determine g*k(v) - 5*n(v).\nAnswer: -2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 1. Let k(j) = -204*j - 2291. Let m be k(-11). Which is the closest to -0.1? (a) m (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -607, -5, -3467, -9 in descending order.\nAnswer: -5, -9, -607, -3467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/12 - c**2 - 6*c. Let z be s(4). What is the greatest common factor of 28 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 3. Suppose 5*g - 8 = 4*m, -4*g - 4*m + 4 = -6*m. Suppose -q + 3*q - 10 = g. Suppose -5 - q = 5*j. What is i(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 2*n**2 - 1. Let f be (6\/(-9))\/(2\/(-3)). Suppose 2*c + f = 3. Let g be b(c). Solve 2*r - g = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 72 = -3*d + 2*l, 3*d - 87 = -4*l. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72\/5 in 31, 2, -2, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - n - 48 = 0, 104*j - 99*j + n - 134 = 0. Calculate the highest common factor of j and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 4143837*w + 33150504.\nAnswer: 3*(w - 1381271)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 38 + 13. Suppose -4*x + 75 = 2*w + s, -16 = -x - w. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 3*z - 6. Let i be (-6*2\/(-9))\/(2\/(-6)). Let g(f) = 8*f**2 - 9*f - 17. Let t(a) = i*g(a) + 11*x(a). Give t(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2855 - 1288. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119899963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101101 (base 2) in base 13?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12735863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1709 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4840 by 257606.\nAnswer: 2420\/128803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/8)\/7 - (-9)\/6. Solve 2*j = j - i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + r - 166 = -7*s, 0 = -3*s + 4*r + 95. Calculate the common denominator of s\/30 + 0 + -1 and -145\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Let c(i) = -i**3 + 5*i**2 + i - 10. Let z be c(m). Let t = 3.73 - 4.13. Sort t, z, 5, 0.\nAnswer: z, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286207555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkzzkzkkzkzk. What is prob of picking 1 k and 2 z?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 10*v - 14. Calculate y(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7287 and 33?\nAnswer: 80157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4592580 to the nearest 10000.\nAnswer: 4590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189848?\nAnswer: 2, 398731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**39*z**3 assuming z is positive.\nAnswer: z**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/39 and -67\/15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1631 or -1623?\nAnswer: -1631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = 7. Solve 2*n + w*z = -1 - 9, -3*z - 22 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412184 - -0.2417?\nAnswer: -1412183.7583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2894746?\nAnswer: 8684238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 124.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735 + -211340.\nAnswer: -210605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 1. Let l = -9 + 8. Let a be n(l). Solve a*w - 2*p + 1 = 3, -p = 5*w + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 6*r - 6. What is a(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1394*z**3 - 43*z**3 + 1434*z**2 + 575*z**3 + 1592*z**2 - 2420*z**3 wrt z.\nAnswer: -19692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.34 - -0.04. Let k = 22.5 + v. Which is the fourth smallest value? (a) -2 (b) -4 (c) k (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17351 + 31321. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*q**2*w - 3*a*q**2 + 2*a*q*w - 2989*a*q - q**2*w + 3*q**2 + 2*q*w wrt q?\nAnswer: 6*a*w - 6*a - 2*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 12. Let y = t - -10. Let l(o) = o**2 - o. Let u be l(2). Solve -y*b = -u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -132?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (3 - 582\/54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3166523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/7)\/p)\/(p*(p*(p*(p*p*(p\/((p**(-9\/4)\/p)\/p))\/p*p*p)\/p)\/p)\/p*p) assuming p is positive.\nAnswer: p**(-283\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-958)\/(-70413) + 2040\/(-1764)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - 101.5. Let h be (-9)\/(-42) - 2\/(-7). Which is the closest to h? (a) m (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 116 = 15*u. Calculate the remainder when -8*u\/224*1183 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190\/31 - -608\/93. Find the common denominator of 51\/271 and w.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 8*w - 17*w + 645 - 3*w.\nAnswer: -w + 645","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3d4 (base 16) to base 13\nAnswer: -5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 5*a - 335, -5*a = -3*f + 515. 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 a = 49 + -48. Let m be -3 - ((-25)\/2 - a\/(-2)). Is 677 - (m\/(-4) + (-3)\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 24*v = 6. Put -10, 48, v in descending order.\nAnswer: 48, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16 + 4*(-62)\/64?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 943?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 11. Let h be j(13). Let f(c) = c**2 - 30*c + 55. Let r be f(h). Is (1 + 5)*((-1087)\/2)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**5\/20 - 10*i**4\/3 - i**3\/6 + 20*i**2 + 169*i. Factor x(k).\nAnswer: (k - 40)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(3\/2994) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251 is divided by ((-3)\/(-10))\/((-338)\/(-16900)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -28*k + 3. Let z(q) = 14*q - 1. Calculate -2*j(h) - 5*z(h).\nAnswer: -14*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + z - 58. Let c = 19 + z. Is (-514)\/c + 2\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 7*x + 9. Suppose 3*f + o = -0*f - 6, -3*o = -4*f - 8. Let b(d) = -d**2 + 2*d - 3. Calculate f*h(p) - 7*b(p).\nAnswer: p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460 a factor of 145161573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 313 and 2?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1141411286 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65521 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -10375\/6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29533002 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + 3*y - 8*y**4 + 2*y - 7*y - 2*y**2 + y**3 to w*y**3 + h + j*y**4 + f*y**2 + m*y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 7.95.\nAnswer: 3.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -1034.4?\nAnswer: -72.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9411 is divided by 1049?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -59*z**3 + 6*z**2 + z + 21. Let h(m) = -29*m**3 + 3*m**2 + m + 10. Let q(t) = -5*h(t) + 2*i(t). Let p be q(-8). Round p to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43906 and 10.\nAnswer: 219530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n + 4. Let q(w) be the second derivative of -7*w**3\/3 - 5*w**2\/2 - 600*w. What is 3*q(y) + 4*s(y)?\nAnswer: 14*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 870357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 0)*-1)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000001001011100 (base 2) to base 11\nAnswer: 23089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/5 + 2 - 156\/60. Suppose -3*z = a, -5*a - 3*z - 24 = -0*a. Let v be 3 + d - (a - -11). Put -1, v, -4 in increasing order.\nAnswer: v, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o. Let t(u) = 7*u**2 + 103*u - 3. What is t(b(p))?\nAnswer: 28*p**2 + 206*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 6*a + 2. Let g be h(7). Let n be 40\/(-6)*(-27)\/6. Suppose 5*w - 3*p - 24 = w, n = 2*w + 3*p. Calculate the highest common divisor of g and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((44\/16 - 3)*-2). Suppose -x + 3 = -2*y + t*x, -2*x + 15 = 3*y. Solve 3 = 3*p - y*o, -5*p + o = -2*o - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2. Let l(s) = 477*s + 1. What is c(l(a))?\nAnswer: 1365174*a**2 + 5724*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + p + 2*p)*(15*p - 9*p + 136*p) + 38 - 4*p**2 + 2*p**2 - 46 to the form d + x*p + j*p**2 and give j.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-635)\/(-25) + -6)\/((-2)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((88\/(-10))\/((-106)\/(-265)))\/3*-120 and 176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 15*r**2 + r - 7. Determine x(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1262, 2523, 3784, 5045?\n\"Answer: 1261*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = b + 2*h, -h = 3*b - 7 - 10. Suppose -b*x + 7 = -8. Calculate the greatest common factor of x and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31706.\nAnswer: 2, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2915, -6032, -9247, -12560, -15971, -19480?\nAnswer: -23087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(1\/2)))*l**(1\/5)*l)**(5\/8) assuming l is positive.\nAnswer: l**(17\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -q - 2*z, 100 = -3*z + 91 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 2*m = -130. Suppose -3434 - 3029 = -m*q + 2*w, 2*q + 4*w - 2566 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 15 = 7*c. Is 9\/((-45)\/(-980)) - c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.879411 to two dps.\nAnswer: 2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1818.\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -9\/2. Let u = 9\/7 - 1. What is the smallest value in u, 5, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**8\/1680 - q**7\/140 + q**6\/72 - 37*q**3\/3 + 46*q**2. Let h(m) be the first derivative of g(m). Factor h(a).\nAnswer: a**2*(a - 5)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*403\/1300*((8 - 1) + (47 - 52)).\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.28983 - 0.57?\nAnswer: -13.85983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-41))\/((-10)\/(-15) + 5\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386813350?\nAnswer: 2, 5, 7, 11, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d + 3. Let z(i) = 29*i + 4. Let f(j) = -8*x(j) + 5*z(j). Let r(a) = 8*a + 5. What is 6*f(q) + 5*r(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -861381 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - a - 2*a. Solve -a*z - 1 = -m - 14, -2*z + 22 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5625635.284 minus 0.4?\nAnswer: 5625634.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1043, -4176, -9393, -16694, -26079, -37548?\n\"Answer: -1042*h**2 - 7*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - 4320\/(-100) - (-207)\/40.\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104245 or 208491\/2?\nAnswer: 104245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.891268 months to years.\nAnswer: 1.490939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -10, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n + 6. Calculate u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 + s + 8. Let r(q) = 151. Let y(t) = -415. Let c(a) = 11*r(a) + 4*y(a). Calculate -24*c(p) + 3*k(p).\nAnswer: 3*p**3 + 3*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012313241.5 rounded to the nearest 100000?\nAnswer: -2012300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 178d12 + -11?\nAnswer: 178d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.558, -5, 13, 0.2, -3\/10, 2\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4 + (-9)\/6 + 5. Find the third derivative of 16*j**h - j**6 - 2*j**6 + 3*j**2 + 2*j**6 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14 and 33\/1231294?\nAnswer: 8619058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*l + 39 - 4, 0 = 3*l - 5*b - 21. Suppose -4*k + 19 = l. Solve -2*o + k*s - 10 = 0, 0 = -4*o + 3*o - s + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 4. Let n be u(10). Suppose -j = 2*j - n. Solve -c + j*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + 6*(2 + sqrt(363) - sqrt(363))) + -1)**2 + 4.\nAnswer: 7925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:08 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + 0)*5 + (-2*sqrt(70)*-3)\/sqrt(10).\nAnswer: 10 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 47, -37, -64?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -374*h + 61. Let l(y) = -187*y + 35. Determine -5*l(c) + 3*o(c).\nAnswer: -187*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*g*q**2 - g*q + 922287*g - 6*q**2 + 41*q wrt q.\nAnswer: 306*g*q - g - 12*q + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 71) + (962 - 955 - (-8 + -1))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*g = -6, 3*z - 5*g + 2 = 4. Let c(r) be the second derivative of 0 + r - 1\/27*r**3 - 1\/54*r**z + 0*r**2. Factor c(x).\nAnswer: -2*x*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m. Let h = -18 + 20. Let t(j) = -105*j**2 + j + 107*j**h - j. Calculate g(t(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 225427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:03 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d*(d**2*d*d*d*d)\/d)\/d))\/d)**(-2\/3)\/(d\/(d*(d\/((d\/(d**(-2\/9)\/d))\/d))\/d)*d**7\/d*d) assuming d is positive.\nAnswer: d**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4983*v - 3. Let y(l) = 3*l**2. Determine y(x(p)).\nAnswer: 74490867*p**2 + 89694*p + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/65 and -24\/7.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 327 + 4?\nAnswer: 32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -748 + 1380. Suppose 3*b + 5*k = -2059, -g = b + k + 53. Round b to the nearest ten.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84107531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26319794?\nAnswer: 2, 109, 157, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231202 (base 4) to base 6.\nAnswer: -21254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -24. Suppose -w + 18 = -3*y + 5*y, 5*w - 5*y - 120 = 0. Calculate the highest common divisor of k and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*o**2 + o**4 - 3*o**4 - 37*o**2 - 2*o**3 - o to the form m + a*o + s*o**4 + q*o**3 + i*o**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j. Suppose -4*t - 3*w = -28, j*t + 2*t - w = 14. Differentiate -t + s**3 - 4*s**3 - 6*s**3 + 0 wrt s.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124550?\nAnswer: 2, 5, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/35*(-4)\/((-24)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3359 or 3\/64?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13623183*f**2 - 15*f**3 - 13623183*f**2.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 308506.1 weeks?\nAnswer: 2159542.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150123 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = 3 + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 6 - 17) + -10 + 0 + (-1 - 5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 973*q - 976*q - 168, 3*q = 22*i - 130 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213546.969 * -4.\nAnswer: 854187.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20544488, 20544484, 20544480, 20544476, 20544472, 20544468?\n\"Answer: -4*s + 20544492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 + 6*m - 7. Let s be q(-7). What is the units digit of (-3 - s - -25)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2002021 - 23414?\nAnswer: 1423102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 525, 772, 1003, 1212, 1393?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 512900 to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/108 and -79\/11012.\nAnswer: 297324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5 + a + 15*a - 29*a. Let j = -38 - -43. Let m(r) = 1 + 6 - j + 6*r. Calculate -5*m(g) - 2*n(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177414231.\nAnswer: 3, 4799, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2946\/(-68)*36\/27. Let w = -13846\/255 - p. What is the common denominator of w and -77\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -32*u**3 - 8*u**2 + 8*u - 3. Let f(l) = -11*l**3 - 3*l**2 + 3*l - 1. Calculate 8*f(d) - 3*v(d).\nAnswer: 8*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108 in -3\/2, -16, -0.4, 0.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 81*i + 931. Let t be w(-67). Sort t, -5, 20, 3 in increasing order.\nAnswer: t, -5, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2618*n**2 + 2618*n**2 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 11\/2*a**2 + 63 + 0*a + 0*a**4 - 1\/3*a**3 + 6\/5*a**5. Find the second derivative of c(s) wrt s.\nAnswer: 72*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -7*y**5\/12 - 7*y**4\/6 + 263*y**3\/6 + 2559*y**2. Differentiate d(n) wrt n.\nAnswer: -70*n - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 1. Let f(b) = -25*b**3 + 7*b + 8. Calculate 14*c(j) - 2*f(j).\nAnswer: 50*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7252*n**3*r - 36*n**3 - 56 wrt r?\nAnswer: -7252*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 7*g**5\/10 - 5*g**4 + 11*g**3\/2 - 654. Factor y(s).\nAnswer: s**2*(s - 1)*(7*s - 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237212719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -69, 1239, -7 in decreasing order.\nAnswer: 1239, -5, -7, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -19*n**3 - n**2 + n. Suppose 0 = -6*s + 12*s - 6. Determine h(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1.46587?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*z = -7*z - 12, 0 = -5*g - 3*z - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287285345?\nAnswer: 5, 57457069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 - 95. Suppose -7 = 2*f + 3*t, f = 3*t + o + 17. Sort -4, f, 1, 0 in descending order.\nAnswer: f, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.113 <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100686 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**48*w**(-6)*w*w*w**(1\/66)*w**34 assuming w is positive.\nAnswer: w**(5149\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17986 divided by 2?\nAnswer: -8993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 3*a**3 - 4*a**3)*(-a - 1 + 1 + (2 - 4 + 1)*(a - 4*a + 0*a)*(-8 + 2 + 0))*(4*a + a - 19*a).\nAnswer: -532*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/123 (b) 11152 (c) -3.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/10)*q*q**4)\/(q**0*q*q*q*(q*q\/(q*q*q**(5\/3)))\/q))**(-7\/3) assuming q is positive.\nAnswer: q**(-1001\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2019, -9009, -20947, -37833, -59667, -86449, -118179?\nAnswer: -154857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352345 is divided by 70131.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*w**3 - 326 + 326 + (-4 + 0 + 3)*(0*w**2 + 2*w**3 + 0*w**2) as v*w**2 + l + y*w + b*w**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (76 + -109 - -41) + 0 + -2 + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 12.99. Let m = 10 - 22.5. Let c = 13 + m. What is the smallest value in 1, 0.3, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -13*t + 10. What is the nearest to -2\/7 in -2\/3, t, 2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*w - 72*w - 13*w)*((-4 + 3 + 3)*(-1 + 6 + 0) - 1 + 2 - 3 + (3 - 2 + 1)*(2 + 0 - 3)) to the form c*w + g and give c.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3105*b - 3069*b - 29 - 8 to y*b + p and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 11 = -0 - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = j. Solve 0 = -4*z + i - 10, -z + 0*z - 12 = -j*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 357 = -315 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 6, -27, -5, -137 in increasing order.\nAnswer: -137, -27, -5, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -81, -6178, -1, 0, 5, 1 in ascending order.\nAnswer: -6178, -81, -1, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 654615 and 56160?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2. Let w(v) = 4*v**3 + 2*v**2 - 1. Let c(s) = -2*a(s) - w(s). Calculate the remainder when c(-2) is divided by (-10)\/(-1 + 0) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97381 or 97363?\nAnswer: 97381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*i, -3*p - 8 = -6*i + 4*i. Let v be 1\/(11\/p + -1). Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrxnxxpkpp. What is prob of picking 1 r and 1 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/66*(-3)\/((-180)\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23449 is divided by 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and -61\/1484.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29657 = 666*v - 7805 - 3164 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.8154916743 - -2.549.\nAnswer: -23.2664916743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.075 - -6.325. Round w to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**2 + b + 6. Let a be m(-3). What is the hundreds digit of a\/(-140) - (-830)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Let l be 3*(-10)\/(-9)*3. Suppose -l - 14 = -m*i. Solve -2*v + 10 = 2*j, -2*j - v + i = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.679141 decades?\nAnswer: 0.2679141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + 45*u**2 - 20*u + 85. What is y(15)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 5281*x - 1272081. Determine q(-253).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m*m*m)**17)**(-1\/19) assuming m is positive.\nAnswer: m**(-102\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17626943925413 and 5.\nAnswer: -17626943925408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12811 - 12795. Solve -5*q - 2*b = -p, -2*q - 5*b - 8 = -9*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*r - 42, -146*r + 142*r = -9*p - 75 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 + 2*l**2 + 25*l**2.\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpxxwpxxxz. Give prob of sequence zx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 9. Let i be y(-8). Let z(j) = -j + 2. Let v be z(i). Let h = v + -5. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 219?\nAnswer: 11826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81624 is divided by 678.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*d - 55*d + 34 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(-26)*(-75)\/(-2850)*-247?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1000 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3 = p. Let i be (p + 11\/(-3))*-3. Suppose -i*l + 9 = l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 349*u - 351*u - 14. Let c(k) = k**2 + 3*k - 33. Let f be c(u). Sort 4, -82, f in decreasing order.\nAnswer: 4, f, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -5 (b) 1.7 (c) -4.08 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 7. Let q be a(4). Let c = 4 - q. What is the units digit of -6*c\/2*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n + 6. Suppose 114*a + 4*z + 6 = 109*a, 2*z - 2 = 0. Calculate l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 0 - 2*z**3 - 1 + (-6*z + 9*z + 5*z)*(2*z**2 + 4 - 4) + z**3 + 2*z**2 - 2*z**2 - 15*z**3 + 5*z**3 + 4*z**3.\nAnswer: 7*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 - 75 + 147)*(k**3 - k**3 + k**4).\nAnswer: 185*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.6260424 to 1 decimal place.\nAnswer: -207.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 22. Suppose -b = w - 21. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 21*v**2 + 2337*v - 4042. Determine j(-113).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 37*m**3 - 34*m**3 - 40*m**3 - 32*m**3 + 2*m**2 + 145*m**3 in the form w*m**3 + o + t*m + y*m**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152829511\/132 + 762451069\/924. Let c = 332630 + s. Let x = c - -50\/11. Do x and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b - 224. Let s be r(29). What is the hundreds digit of (-1110)\/(-3) - s\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49125 and 103875?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9031 and 12894626.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*k - 3*b + 8, 0 = -3*k + 2*b - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b*b**6))\/b*b*b*b*b**(3\/5))**(-2\/11) assuming b is positive.\nAnswer: b**(34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h + 74. What is u(23)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298849 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/(-1353) + (12\/(-9))\/(85 + -107)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 != -50\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -3, 2, 25, 72?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*c + 3*c**2 - c**2 - 1993 + 2135 wrt c.\nAnswer: 4*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - (-18 - 2)) + 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4968\nAnswer: 1\/1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 9*m**2 - 12*m - 12. Is y(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c)*(-11*c - 10*c + 2*c).\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*l**3 + 2*b**3*l**2 + 2*b**2*l**2 + 16*l**6 + 190*l**3 - 194986*l wrt l?\nAnswer: 6*b**3 + 1920*l**3 + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*u = 737 + 4543 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138 plus 0.02?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y - 4. Let i be p(-4). Let x = -19 + i. Suppose -j = -u + 5 + 9, x*u = -j + 76. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 + 21*u**2\/4 + 105*u\/2 + 78.\nAnswer: -3*(u - 13)*(u + 2)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1374820617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*g - 11*g - 34*g - 10*g + 106*g + 2*g**3 + 3 - 11*g**2 to the form b*g**2 + u*g**3 + l + y*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 115.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 30134*g - 661980.\nAnswer: -2*(g + 22)*(g + 15045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6576 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 578950 bigger than 14473772\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*h + 43*h + 37 - 120. Calculate the remainder when 6732 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8084881 + 104*u**3 - 36*u**3 + 8084881.\nAnswer: 68*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 3*i**2 + i - 2. Let p be w(3). Suppose -19*b = -15*b - p. What is the remainder when 75 is divided by ((-10)\/b)\/(6\/(-84))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 128 = 5*h, 1 - 6 = 5*h. Let s = w + -83. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:46 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000194153578 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*f + 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 132 - 42. What is the remainder when 56 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6476, -23755, -52568, -92921, -144820, -208271, -283280?\nAnswer: -369853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47550\/11 + -4314. Which is the closest to 1? (a) 1\/9 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9506 - 1.4506. What is the second smallest value in 1\/4, 0.3, 3\/4, 4\/3, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32470836 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 468920.6 to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1702)\/3)\/((32\/(-24))\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14914222.\nAnswer: 2, 7457111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.95996 and 1.7.\nAnswer: 5.65996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -3 + 4 + -3*sqrt(108))*1)**2.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 164685, 164675, 164665, 164655?\n\"Answer: -10*u + 164695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - g + 4 + 2*g**2 to t*g + z + o*g**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 9\/4 (c) 0 (d) -16 (e) 37\/10 (f) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/72 + 3*(-459)\/(-12). Solve 4*l = -p + 98 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**13*p**(-2\/55)*p**(-5)\/p**(6\/5))**26 assuming p is positive.\nAnswer: p**(9672\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*c + 13545 = -175*c for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1446, 11559, 39002, 92439, 180534, 311951, 495354?\nAnswer: 739407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 102. Let t = b + -63. Let f(z) = -z**3 + 4*z**2 + 1. Calculate the least common multiple of f(4) and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21407 - -21421. Solve 8 = 2*i - 4*k, -2*i = l*k - 13*k + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 65*w**9\/14 - 19*w**5\/3 - w**4\/8 + 4514*w**2. Find the third derivative of y(o) wrt o.\nAnswer: 280800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z + 11*z + 12*z**2 + (5*z - 5*z - z)*(-2*z + 0*z + z))*(-53 - 27 + 19) as q*z + m*z**2 + k and give m.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -6. What is the remainder when 7 is divided by (4\/(-7))\/((-2)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(60\/(-9)))\/((-6)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1140\/(-28) + 8\/(-28). Let x = 179 + r. Let z = x + -85. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -0.067 (b) 3 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 + ((-24)\/108 - 14) + (-642)\/27\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -79002 divided by -2\nAnswer: 39501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.3 (c) -25\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1079 and 273?\nAnswer: 22659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 203950966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 15) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*t - 11 = x, 5*t + 2*x = 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 60, 81?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3.92. Let r = -316 - -312. Which is the closest to u? (a) 0.4 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:18 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n**(-9))\/(n**2*n)**(3\/8))**(-2\/31) assuming n is positive.\nAnswer: n**(-63\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 145?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {r: 3, w: 2, l: 4, h: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 21, 2 in ascending order.\nAnswer: -8, -5, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 151, 299, 447?\n\"Answer: 148*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 737695 and 307122?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11418*d - 707909. Give k(-62).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wogm when four letters picked without replacement from oqgwm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 44 = 20. Solve 0 = b - i*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + c7a?\nAnswer: c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlmyhlhtlvltllh. Give prob of picking 1 m, 1 t, and 1 y.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1551 - 4?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 359, 719, 1079, 1439, 1799, 2159?\n\"Answer: 360*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from shll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*a - a. Let h = 50 - a. Suppose 3*p - 79 = -c, 3 = -2*p + 5*p. What is the remainder when c is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59615668135 + 2.1.\nAnswer: -59615668132.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280*r**5 - 20*r wrt r?\nAnswer: 5600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -139. Suppose 39*d - k*d = 819. Calculate the smallest common multiple of d and 56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/13 (b) 4 (c) -0.4 (d) -53\/13 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15650 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 3*s**2\/2 - 3*s + 6. Let u be c(6). Calculate the greatest common factor of 45 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 11}. Give prob of picking 2 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:08 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 74*v - 68. Solve -5*a - 25 = v*k, 12 = 5*k - 2*a + 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 - 4*l**3 - 3*l**3)*(-1 + 1 - 3) + (-3 + 0 + 1)*(2*l**2 - l**3 - 2*l**2) + 0*l**3 + 4*l**3 - 2*l**3 + 4*l**3 - 3*l**3 - 2*l**3.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 98927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from tquuqtquqou?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.15 - -0.25. Let q = -0.4 + o. Let g = -1 + -1. What is the nearest to 1 in g, 1\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 4*z**2 + 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 2*c + 4*c - 3*c + 5*c + 0*c + 0*c + c - 2*c + (-3 + 3 - 2)*(0*c - 4*c + 3*c) + c + c - c + (-c - c - c)*(-5 + 2 + 4) as k + y*c and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 8\/(440\/1038543) - -4*2\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3 + 3*o**2 + 7. Suppose r(x) = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6743 + 17348 - 3686)*(2 - 2 + u)*(1 - 4 + 1 - 5 + 1 + 3 + (-3 + 3 + 1)*(0 - 1 + 3)) to p + q*u and give q.\nAnswer: -20405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 - -0.44. Let c = g - 0.3. Let f = -64.7 - -65. Is f bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 6. Let k(j) be the first derivative of j**3\/3 - j**2 + 13*j - 122. Give 6*k(y) - 13*x(y).\nAnswer: 6*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7957 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -597 in -2, 111, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-180)\/8*-2*1. Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7 - (-5488)\/(-343)*(-1)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 0.51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 + 1. Let o(p) = 7*p**2 - p + 1. Let d(w) = -5*o(w) + 6*r(w). Give d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-10) - (-12 - -1)*(-4)\/44.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167733.0881 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/(16\/8). Let a = 8 + -4. Suppose -1 = a*i + 11. Put i, -2, t in increasing order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -2*t**3\/3 + 1. Let x(s) be the third derivative of 0*s + 0*s**3 - 1\/3*s**4 - 11*s**2 + 0. Give x(l(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*k + 25*k + 13*k - 2)*(-939*k + 622*k + 538*k - k**2).\nAnswer: 19*k**3 - 4197*k**2 - 442*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-665)\/(-399))\/((-10)\/(-18)). Suppose 5 = q + 4*q, -5*m = 5*q - 380. Let 3*h**n - m*h**2 + 2*h**3 + 90*h**2 - 20 = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 794*i + 279506. Give u(-352).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-7 + 21)) + 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**10\/5040 - r**6\/360 + r**3\/2 - 3*r. Let p(m) be the second derivative of n(m). Find the third derivative of p(a) wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9*p + 7*p - 5, 25 = 5*p. Solve -i*l = 5 - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*f = 10, 82*g + 2*f + 4 = 29*g + 49*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:50 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 91450, -0.3 in ascending order.\nAnswer: -4, -0.3, 10, 91450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14*q - 829. Let p be c(-59). What is the fourth biggest value in -0.3, -18, -6, 5, p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let u(g) = -13*g**2 + 7*g + 11. Let l(p) = 4*i(p) - u(p). List the prime factors of l(3).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26665387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/14 - 198\/(-63). Suppose -172 = -2*u - w, o*u - 7*w + 2*w = 271. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.27 + 2.27. Which is the biggest value? (a) -6 (b) i (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/5 or 26141\/8?\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -618212178*p**2 + 232960745*p + 2 wrt p?\nAnswer: -1236424356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397405283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(a - 2*a - a)*(-7 - 186*a + a**2 + 5*a**2 + 185*a) to the form q*a**3 + b*a + f*a**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 63. Sort -8, -4, m, 2 in increasing order.\nAnswer: -8, -4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(((-26)\/(-26))\/(5*1)). Let x(t) = -t**3 + 16*t**2 - 16*t + 16. Let v be x(p). Is 2\/331 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21520 - -4?\nAnswer: -21512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/(2\/(-6)). Suppose y*c = -2*c + 340. Calculate the remainder when c is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 209.7? (a) -41 (b) 4\/5 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 488?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 8*m + 43. What is w(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4 = 0, 3*j - 3*o - 1 = 2*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j*j**(4\/9))\/(j**(-1)*(j**(-1\/10)*j)\/j) assuming j is positive.\nAnswer: j**(-221\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/14804 and -23\/96596.\nAnswer: 357501796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:24 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1720791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 204, 316, 428, 540?\n\"Answer: 112*v + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-8))\/(22\/(-16)*19*120\/(-12540)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(1 - 5 + 3) + (-3 - 1 + 3)*(1 + 4 - 4))*(-25*f**4 + 12*f**4 + 22*f**4).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 934170996 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 80*o**2 - 16*o + 38. What are the prime factors of y(-40)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}