diff --git "a/data/dm_maths/full_data_2/10174_11255.jsonl" "b/data/dm_maths/full_data_2/10174_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10174_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -9*r = -7*r + 10. Is 35 + 3 + r + 3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571156 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w - 11*w + 16*w + 0*w + 4*w - 3*w + (-2*w + 0 + 0)*(3 - 2 + 1) in the form p*w + n and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 minus -110010?\nAnswer: 110005.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(3\/8)*v))**47*v**(-11\/3)\/v*v**(-14))**19 assuming v is positive.\nAnswer: v**(-16549\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 2*t - 315214 + 219*t**3 + 91*t**3 + 315216 + 2*t**2 in the form p*t**2 + s*t + z + v*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4314 - 2243224?\nAnswer: -2251542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 1\/6 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:53 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) 0.5 (c) 377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(143) - -1*sqrt(143)))\/(1*sqrt(396)) - (2 + sqrt(208) + -2 + sqrt(208))**2*-4.\nAnswer: sqrt(13)\/3 + 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 3*z**2 - 2*z - 1. Let y be f(-3). Let k be 30\/18*6\/y. Suppose -k*w = -4*w + 48. Calculate the remainder when 46 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:16 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by (-120)\/15 + 1\/(6\/138)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2 - 20\/(-16). Let q = 19.83 - 20. Let m = q - 0.13. Which is the second smallest value? (a) f (b) m (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*-250\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-15)*-57*10\/(-4) is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-660)\/(-77))\/((7 - 10)\/(-168)). Let g be (4*-1)\/(1\/(-3)). What is the greatest common factor of c and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -532 - -531. Let y be -2 - (2 + 2)\/(-2). Let f(r) = -40*r + 85. Let i be f(2). Sort i, y, z, 2.\nAnswer: z, y, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 20, 77, 186, 365?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*c**5*p - 2*c**4*p + 5*c**3 + 3*c**2*p - 36*c*p wrt c.\nAnswer: 1200*c**2*p - 48*c*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -957331.45087257 - -6.11387257. Let s = 957370.33700009 + i. Let n = -45 + s. Round n to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-23010)\/(-21))\/10 + 9\/21. What is the highest common divisor of h and 1892?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142772?\nAnswer: 2, 3, 95231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 55, 142, 303, 562?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 65 = -3*l, l = 27802*c - 27804*c - 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0.7, 4 in decreasing order.\nAnswer: 4, 1, 0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778656 is divided by 6150.\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146412?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:12 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.777 - 6.093. Let i = -2.53 + 2.4. Let k = x + i. Does -2 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -19. Is v not equal to 4\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 - 277.99999877. What is y rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 5*d**2 - 6*d - 46. Let q be h(-4). Let o(p) = p**2 + 7*p + 1. Determine o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*k - 127*k - 6840 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + u - 1 - 29 - 29*u + 29 + (1 - 5 + 3)*(1 - 1 + 3*u) to n + j*u and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 5. Let i(r) = r + 3. Let l be 0\/(-3 - (-1 + 0)). Let s be (28\/(-2) - l) + 2. Let w = -15 - s. Calculate w*q(m) - 5*i(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -619 - -658. What is the remainder when k is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(104) + sqrt(104) + sqrt(104)*1))\/(5*sqrt(32)\/sqrt(4)) - ((sqrt(1300)*2*-4)**2 + 4).\nAnswer: -83204 - 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3085.9 + -125\nAnswer: -3210.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6224\/3501 - 455\/180)\/(87\/44 + -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 19\/6*q**3 - q**2 - 1\/12*q**4 - 10*q + 0. Is 15 a factor of o(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 20, 28, 34?\n\"Answer: -o**2 + 13*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247.90029 months to millennia.\nAnswer: 0.0206583575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 6. Let i be f(-5). Let c = i + 22. Let u(d) be the first derivative of -d**4\/4 + 7*d**3\/3 - 2*d**2 - 8*d + 15. What is u(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3 - 3)*(-12*y**2 - 2*y + 2*y) - 4*y**3 + 7*y**3 - 2*y**3.\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96747048, -193494105, -290241160, -386988213, -483735264?\nAnswer: -580482313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*y**3 + 34872*y**2 + 67*y - 79961945?\nAnswer: 36*y**2 + 69744*y + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s + 169939 - 927379 = 0. Is s a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + z - 1 + (4 - 7 + 1)*(212 - 212 + 14*z) + 32*z - 19 - 33*z + 7 as m*z + k and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/391)\/((11\/264*5)\/(5\/(-2)))?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3633 + -5?\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t**2 + t + 96. What are the prime factors of s(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = u, 2*u + 1 = 2*y + 5. Which is the closest to 3\/4? (a) 1\/3 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 5) to base 11\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Is 6 a factor of f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = -29*r + 4*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 divided by 471?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 159871 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + n**4 + 6*n**3.\nAnswer: -n**3*(n - 3)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14125 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3487 - 3577 = 4*k, -k + 16*o + 547 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 - 6*w + 11. Give d(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8695 = 400*x - 947*x + 9903 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 12:44 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.523, 2, -2\/81, 0, -3\/5 in increasing order.\nAnswer: -3\/5, -0.523, -2\/81, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 126. Let d be s(29). Let o = -31 - d. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3846866.1803 + -46\nAnswer: 3846820.1803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10011000 (base 2) to base 13\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -3, 13, 4 in descending order.\nAnswer: 13, 11, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495587.\nAnswer: 3, 47, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z + 2*z - 2*z)*(-4 + 2 + 1) + z - 2*z + 0*z - 2 + 7 - z - 2)*(3*z - 4*z + 0*z)*(0*z + 0*z - 2*z).\nAnswer: -8*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2772981 by -9939.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92559.78 weeks to milliseconds.\nAnswer: 55980154944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 114520\/1470 + (-2)\/(-21). What is the greatest common factor of 1066 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050661573.\nAnswer: 2050661573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 805\/1050*-2*270\/81.\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2082*-0.2\nAnswer: -416.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.06 + -0.06. Let l = -1 - x. Sort l, -3\/2, -1\/2 in increasing order.\nAnswer: l, -3\/2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -11. Suppose 8 = -d + 3*p, 4*d + p - f = -0*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26419007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w + 17 - 5\/2*w**2. Determine q(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1200 and 240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d + 111*d = -480 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**4 - 989*z**3 - 7226 wrt z.\nAnswer: -8*z**3 - 2967*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*y - 2*r - 228, 2*r = 3*y - 160. Let s = 126 - y. Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/4)))**(13\/7)\/(s\/(s*s**0))**16 assuming s is positive.\nAnswer: s**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k**2 - 16*k + 28 + 3*k**3 + k**3 + k**3 - 4*k**3. Let i be m(14). Factor -3\/7*l**5 + 0 + 3\/7*l**3 - 3\/7*l**2 + i*l + 3\/7*l**4.\nAnswer: -3*l**2*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zts when three letters picked without replacement from {w: 1, s: 1, z: 2, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-243)\/135*(2\/(-4))\/((-5)\/100)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 2*d + 1. Let l be h(-4). Let g = -15 - l. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 5*s + 0*s)*(-s - s + 4*s) - 2*s**2 + 2*s**2 + s**2 - 3*s**2 + 3*s**2 + 3*s**2 + 5*s**2 - 3*s**2 + 0*s**2 as b*s**2 + y*s + d and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -6119.\nAnswer: -6122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 299, 307, 317, 329?\n\"Answer: c**2 + 5*c + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + sqrt(63) - sqrt(7)) - (-3*sqrt(1344))\/sqrt(3))**2*-6.\nAnswer: -28416 + 624*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w = 44*w - 1220. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20540733.\nAnswer: 3, 53, 129187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 7. Let j = p + 8. Suppose o = -5*f - 2, 0 = f + 4*f + j*o - 10. Sort f, -0.3, 1\/4.\nAnswer: f, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**4*y - c**4 + 3*c**3*y + 141*y wrt c.\nAnswer: 16*c**3*y - 4*c**3 + 9*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h + 9827*h**2 + 2135*h**2 - 9 + 9 + 9*h as d*h**2 + x*h + k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, d: 1}. What is prob of sequence nni?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2589 + -18128\/7. Let w = -0.5 - 0.5. Are w and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4302402.\nAnswer: 2, 3, 13, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1503 and 4710903?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 2*a + 0*a - 3*a.\nAnswer: -a + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**5 - 3*b**4 + 7*b**3 + 3*b**2 - 3. Let g(q) = -4*q**5 - 16*q**4 + 36*q**3 + 16*q**2 - 16. Let o(j) = -3*g(j) + 16*l(j). Factor o(k).\nAnswer: -4*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6266.2549 + -6266. Let m = t + -0.0549. Is m at most 38\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274\/(2\/(12 - 10))?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**5 - 757*c**4 - 20367*c**3 + 663049*c**2 - 381820*c - 260100 = 0?\nAnswer: -85, -2\/5, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 1071200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - ((214 - 123) + 113).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h**(-6)*h*h\/(h**(17\/3)*h) assuming h is positive.\nAnswer: h**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.03 - 0.03. Let o = 438 + -437.8. Let z = 514 - 513. What is the smallest value in o, z, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -339*n**2 + 2. Let b(i) = 6*i. What is p(b(k))?\nAnswer: -12204*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + 44 + -54 + 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 906279*c. Let a(u) = -9*u**2. Calculate a(o(j)).\nAnswer: -7392074632569*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 13*x = 20. Let s be ((-6)\/10)\/(1\/(-5)). Which is the closest to s? (a) x (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:04 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000347949 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*g + 79 - 89, 5*g - 9 = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 1:52 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = -46*m. Suppose -2*k - 2 + 4 = m. Solve 0 = 2*j - 3 - k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1428*x - 8 = -1432*x. Calculate the lowest common multiple of x and (-2)\/(-1*1\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0 + 1\/6*u**3 - 7*u + 0*u**2. Let g(f) = -7*f**2. Determine g(h(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 293909, 293910, 293911, 293912, 293913?\n\"Answer: z + 293908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 55\/(385\/294)*(-38)\/(-532). Let p(q) = -4*q + 17. Let f(m) be the first derivative of -m**2\/2 + 6*m + 2. Calculate a*p(h) - 8*f(h).\nAnswer: -4*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-147)\/(-13 - 8) - 25\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 16*b - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57385244471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 1 - 1)*(-l - l + 3*l)*(-3*l - 2*l + l) - 22*l**3 + 15*l**3 - 8*l**3 + (6*l**2 - l**2 - 3*l**2)*(-l - l + 3*l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (3 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 23*z = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.009 - 4.009. Which is the nearest to -2? (a) -2 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 + 4 = d, 5*k = 3*d - 55. Let l = 138 + -117. Let b = d + l. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + -0.3. Suppose 3*b + 3*s = 6, 2*s - 265 = -3*b - 270. Sort b, t, 0.4, -0.02 in ascending order.\nAnswer: b, -0.02, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/723544 and 14\/126863?\nAnswer: 151220696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*w - 11, h + 2*w - w = -1. Let y(q) = -q**3 - 5*q**2 - 5*q + 2. Let z be y(h). Suppose k + 1 = z. Solve -4*i - 13 = -k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*k*t**2 + g*k*t - g*t**2 + 4*g*t - 476*k*t**2 + 3*k - 13 wrt t?\nAnswer: 6*g*k - 2*g - 952*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1 - 5 - 8*x - 4 + 4. Let r be y(-1). Let p(k) = 9*k + 1. Let z(l) = -5*l - 1. Calculate r*p(m) + 7*z(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 31 (b) 0.0206 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by -1 - (-8 - (1 + 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9252\/(-6168))\/(0 + 9\/318)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 300, 302, 304, 306, 308, 310?\n\"Answer: 2*m + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5242)\/65)\/(4\/(-80)*4). Let k = z - 403. Suppose 5*i - 4*i = 0. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4\/37, 3\/5, 1\/10 in increasing order.\nAnswer: -0.3, -4\/37, 1\/10, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12335215 + 0?\nAnswer: 12335215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 15*l - 9. Let z be f(-16). Let p = z - -26. Let q(a) = 9*a**3 + a**2 - 2*a. Let c(k) = -k**3 + k. Let w(d) = c(d) + q(d). Give w(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:53 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 4*v - 14 = 0, 4*h - 3*v = 37. Suppose 19 = -3*t - 4*y, 5*t + 0*y - 7 = 3*y. Is -6 + (h - 7) + (-116)\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 2057779029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*2\/6)\/(120\/432)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -248 + 288. Factor -14*o - 66*o + 25 - 89*o**4 + 90*o**2 + 94*o**4 - l*o**3.\nAnswer: 5*(o - 5)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = 3*s - 1432. Let y = -490 + s. Round y to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30968259 plus 4?\nAnswer: 4.30968259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103761.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2220 and 2640570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115931909.\nAnswer: 31, 67, 55817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 24788934700 to the nearest 1000000.\nAnswer: 24789000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/16092 and 19\/36?\nAnswer: 16092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -29*h - 3. Let s be x(-2). Let o = 16 - 11. Suppose -70 - s = -o*c. Solve -5*p = c, -5*m + m - 11 = -p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300344503 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/2 + 27*u**3 - 261*u**2\/2 - 798*u - 882 = 0.\nAnswer: -21, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.5 - -40. Let q = 4.5 + z. Let c = q - 4. Sort -3, c, 2\/7.\nAnswer: -3, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -6, 22, 0.0497, -0.2, 0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 0*s + (3 - 2 - 2)*(-9 + 9 - s) - 2 + 2 + s - 5*s + 6*s + 5*s)*(-2 + 0 - 2).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 8, 3*g = -3*r + 5*r + 20. Suppose 2*v = -g*z + 318 + 106, 2*z = 4*v + 192. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:54 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 230. Let u(o) = 2*o - 1. What is -g(s) + u(s)?\nAnswer: s + 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/77 - (-1029)\/33. Suppose 4*u = 5*l - 1263, -l + n = -u - 222. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2 + (-17 - -1). Let u = o + 8. Let v(f) = -2001*f**2 - 4*f + 5. Let s be v(u). Round s to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11754 and -11.2.\nAnswer: -131644.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*i + 151*i + 0*i**3 - 75*i - 2*i**3 + 7*i**2 + 2 to the form k*i**3 + w*i + v*i**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*o = 0. Suppose 9*a - 3*a + 12 = o. Which is smaller: -12\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -168. Let z be 1 + (-15)\/(-1 - -2). Calculate the lowest common multiple of x and (z\/(-8) + -1)*4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -349, -406, -515, -682, -913?\n\"Answer: -s**3 - 20*s**2 + 10*s - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5134 and 380910.\nAnswer: 977795970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*n - 176*n = -66. Let a(c) = 7*c**3 - 3*c**2 + 2. Let i be a(2). Let o(j) = 2*j + i*j**3 + n + 5*j - 45*j**3 - 9*j**2. Determine o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-2913)\/60*38. Let t = 1844 + s. What is the common denominator of -4\/5 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*k - 21, 0*k = -2*k + 4*r - 4. Let b = k + 14. Solve -x = x - b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-4)*5\/8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097 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: Calculate the remainder when 19273 is divided by 19266.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74078, -74266, -74454, -74642?\n\"Answer: -188*a - 73890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w. Suppose 8 = -2*z + 8. Suppose -67*i + 69*i - 10 = z. Solve 0 = -w*q + i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12712)\/(-182) + 2\/13. Let t(x) = -x**2 + 14*x - 6. Let o be t(6). What is the greatest common factor of o and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 131*w + 1 + 117*w + 10*w**2 + 4 - 242*w. Let f(m) = -5*m**2 - 3*m - 3. Determine 5*f(i) + 3*k(i).\nAnswer: 5*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(720) - (-1 + sqrt(720))))*5*3 + -5)**2.\nAnswer: 4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-76))\/(-1)*(-299)\/((-107640)\/(-216)).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v - 6*c + 957, 4*c = -5*v + 953. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39345, 78676, 117989, 157278, 196537, 235760, 274941?\n\"Answer: -f**3 - 3*f**2 + 39347*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -237 in decreasing order.\nAnswer: 0.4, 0, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7808150 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -21. Let f = -70 - -75. What is the biggest value in 0.1, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/273, -21 in increasing order.\nAnswer: -21, 0, 4\/273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 2 + (-1 - 1). Let u(t) = t**2 + 7*t - 4. Let x be u(b). Let f be (-60)\/x - 2\/7. Let g(r) = r**2 - 2*r - 4. Calculate g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 238\/18 - (-12)\/(-54).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 21112212?\nAnswer: 21120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + ((-4155)\/(-12))\/(3\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:00 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 201021001002120 (base 3) to base 11\nAnswer: 5861477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.535?\nAnswer: 0.0535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 3. Let l(r) = -2*r**2 + 8. Let b(z) = -3*l(z) + 8*t(z). Let f(n) be the second derivative of -1\/6*n**3 + 0*n**2 + 0 - 5*n. Determine b(f(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/26)\/((-7)\/2). Which is the nearest to 1? (a) 0 (b) 5\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -r - 3*v, -5*v = 2*r - 5 - 25. Sort r, 8, 4 in decreasing order.\nAnswer: 8, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuppccuibuuuubcpppp. What is prob of picking 1 u and 1 b?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -78faa0 (base 16) in base 7?\nAnswer: -124251050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + 7 = -y, 2*c = -y + 1. Suppose -c*j + 0*j - 2*d + 64 = 0, -2*d = -j + 29. Let l = 55 - j. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 360980.6 meters?\nAnswer: 36098060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 381\/(-2921)*15\/((-675)\/(-10)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8 + (-13)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*k - 167 = -0*t, -3*t - 2*k = 469. Let d = 163 + t. What is the highest common factor of d and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117240450?\nAnswer: 2, 3, 5, 19, 31, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -17, -1, -4, -3, 0 in descending order.\nAnswer: 0, -1, -3, -4, -17, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(0 + 0 + -1). Let h(a) = 1 + 3 - 7*a**2 + a - 2 + 6*a**2 - a**3. Determine h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4\/5 + 603*s**3\/5 - 8639*s**2\/5 - 603*s\/5 + 8638\/5 = 0.\nAnswer: -617, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 less than -1.9?\nAnswer: -301.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + -3.15. Which is the second smallest value? (a) s (b) 0.5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3222927817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2627*f*w**4 - 502657081*f*w**2 - 64407*w**6 wrt w.\nAnswer: 63048*f*w - 7728840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 - 0.04. Let a = q - -0.1. Let x = 1.1 + -0.9. Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183.9 - -737.3. Is d >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1 - (-13 - -9)) + -213 + 168.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/299 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*z - 56*z + 38 - 79*z - 9*z - 4*z wrt z?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.5064.\nAnswer: 0.5064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxxtcxxttttegxxxtox. What is prob of picking 1 t, 1 x, and 1 g?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*l + 12 = 99*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2939106*l*z**2 - 24*l*z - 1115*z**2 - z + 27 wrt l?\nAnswer: 2939106*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24503 in 0.16, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, 33, 93, 159, 231?\n\"Answer: 3*z**2 + 45*z - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(21\/(-7)))\/(2\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*q**2 - 212*q**2 + 1597*q**2 + 545*q**2 + 579*q**2.\nAnswer: 3857*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 48*f**2 - 117*f + 17. Let k be q(-13). Let w(j) = -j**3 + 16*j**2 + 16*j + 14. Determine w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, e: 15}. Give prob of picking 3 e.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3046, 153, 1.\nAnswer: 1, 153, 3046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 1)*(3*n - 4*n + 0*n) - 2739 + 2739 - 117*n)*(-55*n + 32*n**3 + 55*n) to r*n + w*n**4 + y*n**3 + q*n**2 + k and give w.\nAnswer: -3808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4 + 4*d**2 + 0*d**3 + 2*d - d + d**3. Let o be a(-3). Solve 5 = 3*c - o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9406931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19715, 19163, 18611?\n\"Answer: -552*n + 20267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 5.45?\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81221*q*s**3 + 2*q*s**2 - 2*q*s + 2*q + 350*s**4 - 5*s**2 + 7457*s - 1 wrt s?\nAnswer: 487326*q + 8400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 8*f**2 - 3*f + 3. Let g(j) be the first derivative of -j**4\/4 - 7*j**3\/3 + j**2 - 3*j - 3. Let k(w) = -5*b(w) - 6*g(w). Determine k(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -2\/3*t**3 + 0 + t - 1\/120*t**6 + 0*t**5 + 1\/8*t**4 + 69*t**2. Let v(k) = 2*k - 3. What is -2*d(i) + 3*v(i)?\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -398*h + 387*h - 2926. Let g be h\/(-98) - (-4)\/14. Solve g*y - 3*x = -3, -5*y + 0 = 2*x + 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -65*m + 1 + 67*m - 3 + 3*m**2. Let y be r(1). Suppose -y*k - 1 = -22. Which is greater: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 726447 and 4707.\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4532.\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 851*r - 110798. Determine p(530).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:41 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 61*j**2 - 67*j**2 - 72 - 182.\nAnswer: -6*j**2 - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - 183. Let x(t) be the first derivative of d*t + 1\/3*t**3 + 0*t**2 - 4. Find the first derivative of x(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 22 - 36*t - 47*t - 49)*(113 + 5 + 227).\nAnswer: -28635*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 335 + -167. What is the greatest common divisor of 252 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*c - 299*c - 294*c - 291*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 298*s. Let y(n) = -3*n**2 + 2*n. Let t(g) = -10*g**2 + 7*g. Let k(m) = -4*t(m) + 14*y(m). Give k(u(a)).\nAnswer: -177608*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313611 - 2494369\/8. Suppose a + 3625 = -2*r, -5439 = r + 2*r + 3*a. Let c = z + r. Calculate the common denominator of c and 23\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (40\/6)\/(-20*(-1)\/600) and 2.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53788, 107549, 161322, 215107, 268904?\nAnswer: 322713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -780687666*d**4 - 27*d**2 - 992*d - 82 wrt d.\nAnswer: -18736503984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 25*q**3 - 34*q**3 - q**2 + q - 2 + 1. What is t(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/(-10) + 1)\/(2\/330)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293294846 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + 24\/30. Let i = 59 + -29. Let b be 3\/i - 9\/15. What is the second biggest value in j, 1, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-0.6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10816*x**2 - 3*x**4 - 3*x**6 - 78831*x**5 - 2275*x**2 + 78810*x**5 wrt x.\nAnswer: -360*x**3 - 1260*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11*p + 2. Let i(w) = 34*w + 6. What is 4*i(q) - 14*s(q)?\nAnswer: -18*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -1901, -2838, -3765?\nAnswer: -4682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 23*y**3 + 4*y**2 - 6*y - 1. Let t be z(5). Suppose 19*q + t = -4*q. Round q to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0 + (-266*s - 87*s + 50*s)*(0 + 1 + 1))*(-s + s - s**3).\nAnswer: 604*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 24*x**2. Let s(j) = -j**2 - j - 1. Let z(n) = n + 14. Let q(f) = s(f) + z(f). Let m(k) be the first derivative of q(k). What is c(m(y))?\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6757989 years to millennia.\nAnswer: 0.0006757989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10185 is divided by 232.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10804 - 10800. Let y be (6\/(-8))\/(54\/48). Put 3\/5, w, 22, y in ascending order.\nAnswer: y, 3\/5, w, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 950418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15677*31692\nAnswer: -496835484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1800 and -41\/1350.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/6 - (-2)\/(-3). Let p be q\/(-18) - (-7)\/3. Let u(r) = 4*r**2 - 76*r. Let v be u(19). Solve v = 2*j + 5*z + 7 + 15, 12 = -p*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4626*w**2 + 169*w - 922. Is s(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z + 3 = 5*h, 5*h - 19 = -z. Solve 2*m + 9 = h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -456, -449, -442?\n\"Answer: 7*f - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l = 0. Suppose -4*a + 1 = -5*t, -4*t + 2*a = a - 8. Let h be (-27)\/t*(-1)\/30. Which is bigger: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -62758.1.\nAnswer: 62758.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1258, 2527, 3798, 5071, 6346?\n\"Answer: p**2 + 1266*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44965 and 3032205?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 + 4\/(-6). Let j = -15.8 - -16. What is the smallest value in j, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*11*(-24)\/(-572).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -347.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + -0.26. Let k be ((-15)\/18)\/(20\/(-12)). Which is the closest to 0.1? (a) -0.2 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/10, -3, -3\/430 in increasing order.\nAnswer: -3, -3\/430, 9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. Let i(g) = -21*g - 7. Let n(t) = -i(t) + 6*z(t). Let r be n(1). Suppose -r = 2*o - 3*o. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 9*d**2 - d + 15. Let b = 1804 + -1795. What is a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -427.5144.\nAnswer: 7695.2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8687*i**3 - i**2 + 101*i - 395. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04585 minus -43.5?\nAnswer: 43.45415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/(2*6\/216). Suppose -25*j - 126 = -n*j. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 406920.\nAnswer: 2848440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 64*g + 2. Let k be y(21). Suppose -10*v + 2103 = -k. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 47 - 17. Let a(s) = s**2 - 6*s + 4. Let o be a(d). What is the second derivative of -r**5 + o*r - 5*r**5 - 6*r**5 + 7*r**5 wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -11*u**6\/2 - 95*u**4\/12 - 59*u. What is the third derivative of v(c) wrt c?\nAnswer: -3960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/314060 and 65\/44.\nAnswer: 3454660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**8\/560 - q**4\/12 + 4*q**3\/3 + 3. Let c(o) be the third derivative of t(o). Find the first derivative of c(b) wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 2*l**3 + 3*l**3)*(8*l + 33*l - 34*l)*(-l + 2*l + l).\nAnswer: 28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12021074?\nAnswer: 2, 13, 17, 27197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3051 less than -1.1?\nAnswer: -0.7949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 take away -507778113900?\nAnswer: 507778113990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from hhhhvhhvhhvhvhhhhh.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Suppose 6*g = 2*g + f. Let b = g - -1. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273697209 to the power of 1\/2, to the nearest integer?\nAnswer: 16544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 1. Let q(t) = -3*t - 76. Calculate -q(y) - 5*r(y).\nAnswer: -2*y + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 9*m. Suppose 2*o + 5*l = -o - 1, -2*l + 2 = m. Which is the second biggest value? (a) -1 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/20)\/(8\/10). Let g = -14 - -10. Let m = 6 - 37\/6. Which is the third biggest value? (a) x (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -84, 0.3, -1\/2, -992\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 9 = 5*w. Let q = 8 - w. Find the third derivative of 3*p**q + 2*p**5 - 6*p**5 - 2*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*u - 207*u + 15255 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -13. Let s = 6 - v. Suppose 3*m + 3*j - 9 = -m, -4*m - 1 = s*j. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 51.4291.\nAnswer: 2.571455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-4) - -4 - (-27)\/126. Suppose 0 = x - 2*m + 2, 0 = -2*x - m + 6. Which is the closest to s? (a) -0.3 (b) -12 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 156, 137, 78, -39?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/65)\/20*13\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1878298 and 20?\nAnswer: 19.8121702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + 2. Suppose 3*w + 79 = 5*m - 0*w, m = -2*w + o. Let h be (27\/(-45))\/(3 + -3*766\/765). What is the greatest common divisor of h and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506922.\nAnswer: 2, 3, 13, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 29 = -3*o, -o - 3*t = o - 8. Let b(q) = -q**2 - 2*q. Let l(h) = -4*h**2 - 7*h. Give o*b(f) - 2*l(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*o*z**2 + 121*o*z + 70470*z**2 wrt o.\nAnswer: 36*z**2 + 121*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -4*g + 6*v + 4, 5*v = 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102152 (base 6) to base 15.\nAnswer: -26bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 225 + 221 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 3, z: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(((-3)\/120)\/((-3)\/(-18))). Suppose -42*x + y*x = -1042. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2934711 and 390.\nAnswer: 29347110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let s(x) be the first derivative of x**3\/3 + x**2 - x - 2. Let d be s(-3). Let z(o) = 4*o + d*o**2 - 4*o. Calculate z(g(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 546.9 to the nearest 10.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1414\/(-3) - ((-315)\/(-27) - 12). Let q = a + 474. Solve q*z - 17 = -2*w, 7*z - 2*z = 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1064 and -61\/2432?\nAnswer: 17024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(528)*-1)\/sqrt(11) - (3*sqrt(300) + sqrt(300) - sqrt(300) - sqrt(3))*-4) + -2.\nAnswer: -1 + 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -37 (c) 102024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2073 (base 10) to base 16.\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104444 - -4?\nAnswer: -104440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 10*u - 11. Let o(r) = r**2 + r + 2. Let x be o(-3). Let y be l(x). Put 3, -5, y in ascending order.\nAnswer: -5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04904553 rounded to 3 decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(10)\/sqrt(5)))\/((2*sqrt(132) + sqrt(132))\/sqrt(11)) - (0 + sqrt(500) - (sqrt(180))**2).\nAnswer: -29*sqrt(5)\/3 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a27 (base 13) to base 7.\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.9, -2 in decreasing order.\nAnswer: 0.9, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.337448683 + 1.162552627. Let c = -0.7 - 0.8. Let j = m + c. Round j to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756278446?\nAnswer: 2, 13, 877, 77023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 61 = 51 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 35\/7 + (-3 - -80).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 1:48 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s - 108 = 114*s - 224*s, -54 = 72*c - 2*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98990 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jppp when four letters picked without replacement from {z: 5, p: 7, j: 1, q: 3}?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 (base 11) in base 4?\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109647997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(882)*1)\/((sqrt(72) + sqrt(72) + (-6*-1*sqrt(72) - sqrt(72)))\/sqrt(12)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(210\/(-14))*10\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1170*w**2 + 1561*w**6 - 1495*w**6 + 3979*w**2 - 1581*w**6 wrt w.\nAnswer: -181800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317338 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27710420 divided by 13855210?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -664*i + 9326. Calculate the remainder when 43917 is divided by l(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 11, u: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34943, 35105, 35293, 35519, 35795, 36133, 36545?\nAnswer: 37043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 13\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -379 - -871. Suppose 0 = 4*k - 0*k - x. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -102?\nAnswer: 42\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -26701, 4.\nAnswer: -26701, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 806 and -0.9000557.\nAnswer: 805.0999443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.02117884\nAnswer: -0.002117884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 3:34 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/699 or 0?\nAnswer: -2\/699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2206 is divided by 119?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4212959724.\nAnswer: 2, 3, 3361, 34819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 684376686*s**6 - 293378218*s**2.\nAnswer: 82125202320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2785839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 8. Let k(y) = -y - c*y + 2*y. Let o(v) = -823*v**2 - 827*v**2 + 0 + 1649*v**2 + 0 + 11*v - 9*v. What is k(o(z))?\nAnswer: 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n - 40. Let u be y(-9). Which is bigger: u or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x + 0*x**3 + 0 + 5*x**2 + 1\/12*x**4 + 2\/15*x**5. Factor d(t).\nAnswer: 2*t*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-21))\/(1162\/(-4980)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9421 - 9417. Solve 0 = -5*s - j - 3, 7*j - 4*j = v*s + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 58*x + 318. Let o be f(-63). Let l = 30 - 17. Let g = -8 + l. Solve 0 = -o*b + g - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1497, 2996, 4495, 5994?\nAnswer: 7493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1483*k + 44*k**2 + 1 + 742*k + 742*k wrt k.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 120 = 37*u. Solve -13 = 3*l - 2*h, -u*h + 13 = -5*l - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -239*g - 235*g - 19 + 465*g. Let t(a) = -4*a - 9. What is 6*i(z) - 13*t(z)?\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 4*s + 1. Let p be c(2). Suppose 15 + 5 = p*w. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -15 (c) -0.5 (d) 2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 232018.2 litres?\nAnswer: 232018200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45898 + 14798 + 41117 = 4045*x - 438978 for x.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 28. Let u(w) = w**2 - w - 1. Let q be u(2). Suppose 5*j - m = 10, -j - 2*m + 1 = -q. Solve -s + j = g + 4*s, z = -g + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-34154)\/4*3)\/((-4)\/8)?\nAnswer: 3, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*a - 2*i, i = 3*a - 6 - 25. Solve -28*l + a = -31*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:04 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105014?\nAnswer: 2, 7, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11688 divided by -2922.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -92, -107, -140, -197, -284, -407?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -20*y**3 - 55*y**2 - 30*y = 0?\nAnswer: -2, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60492*p**3 + 459512*p**2\/5 - 6517*p\/5 + 23\/5.\nAnswer: (15*p + 23)*(142*p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13034 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 410\/369*(-585)\/26\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/21))**(-29)*(o\/(o*o\/((o*o*o*o**(-17)*o)\/o)))\/(o**(-2\/7)*o) assuming o is positive.\nAnswer: o**(-997\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 0*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**3 + 3*w**2 + 18*w + 63. Let d(n) = 2*n**3 + 2*n**2 + 9*n + 32. Let m(x) = 3*c(x) - 7*d(x). Let g be m(7). Put 1\/9, g, -2 in descending order.\nAnswer: 1\/9, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -13.2. Let t = i - -2. Let u = t + 10.9. Which is greater: 2\/9 or u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1494*d**3 + 748*d**3 + 738*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k - 5\/4*k**3 + 0 - 7\/2*k**2 + 1\/4*k**4.\nAnswer: k**2*(k - 7)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 3312?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*q - 3*q + 3*z, z - 4 = 0. Sort 2, q, 0, -5 in decreasing order.\nAnswer: 2, 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -449814795 by -145.\nAnswer: 3102171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, 1\/18, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280051.28*-1.\nAnswer: -280051.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (164\/(-246))\/(9\/6 - 1). Sort q, -7, -0.06 in ascending order.\nAnswer: -7, q, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48 + 4*1\/(-2) + -1. Let n = 45 - p. Put n, -5, 1 in descending order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.1, 1\/4, -3\/2, -0.4, -6\/31?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1839\/11 - -167. Let b be (14\/21)\/((-250)\/(-75)). What is the biggest value in c, 2, b, 5\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*x**3 + 446*x**3 + 85*x**3.\nAnswer: 438*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 92. Let p be (h - 7)*(-2)\/(-2). Suppose -5*j + 4 = -p. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 - 193. Let o be (16\/28)\/(12\/14). Which is the third biggest value? (a) 1\/5 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 - 57. Let f = 3 - 3. Are o and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 + 258 = 116*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d. Let w be ((-11)\/(-3))\/(4\/(-48)). Let g = -42 - w. Let l(k) = -11*k - 5*k + 22*k + 1 - 8*k**g. Give l(o) - 6*n(o).\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2484, -2482, -2448, -2358, -2188, -1914, -1512?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-12)\/(-36) - ((-12)\/3 - -3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 + 357\/(-28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1220\/7 - -174. Let v be (-26)\/8 - (-1)\/4. Put v, 4, i in descending order.\nAnswer: 4, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -115. Let t be (-2)\/4 + 2\/o. Let y = -0.3 + 0.1. What is the nearest to t in 0.3, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d - bc?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 27*z**2 - 168*z + 196.\nAnswer: -(z - 1)*(z + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/3 - 159046*b\/3 - 5835720 = 0 for b.\nAnswer: -110, 159156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -83, -120, -155, -188?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 + 7*t - 3. Let q be h(6). Let i(u) = u**2 - 2*u**2 + 7*u + 1 - q*u + 6. What is i(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1110461 years in millennia?\nAnswer: 0.0001110461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -19 - (-75 - -69 - ((-2 - -1) + 3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 929093979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*u - 504 = 103*u. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = -s + b, -3*b + 37 = -s - 162. Let d = -1272 - -534. Let p = s - d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -157, -630, -1419, -2524, -3945, -5682?\n\"Answer: -158*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(11\/(-66))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3497 and 457300?\nAnswer: 5944900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 103. Let y be (-208)\/z + 0 + 1. Is -2 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 j when four letters picked without replacement from qqjuujjqojuujqj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-14)\/35)*(-128)\/80. Let a(j) = 6*j**3 + 5*j**2 - 2*j - 5. Let w(h) = 7*h**3 + 4*h**2 - h - 4. What is z*a(c) + 5*w(c)?\nAnswer: 11*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.273\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6018, 47913, 161612, 383013, 748014?\nAnswer: 1292513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:44 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -751\/10 + 75. Let g = -0.1736 + -5.8264. Which is the nearest to g? (a) 0 (b) -1 (c) x (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14447e - -6b?\nAnswer: 1444ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zggggggzzzggz. Give prob of sequence zgz.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-38)\/k)\/(k**(-11\/4)*k*k))**(6\/7))**23)**(-24) assuming k is positive.\nAnswer: k**(126684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13664?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 313121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -t, -5*t - 19*s + 24*s + 10 = 0. Suppose -4*b - 267 - 163 = -t*a, 0 = 4*a + 3*b - 882. Which is smaller: a or 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50726 take away 0?\nAnswer: -50726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63644 and 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12595642 is divided by 291.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 312888886 to the power of 1\/2, to the nearest integer?\nAnswer: 17689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 20, 8, 26, -4 in descending order.\nAnswer: 26, 20, 8, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7703 at least as big as 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55201*v**5 - 56*v**4 + v**3 + 58*v**2 - 47986.\nAnswer: -3312060*v**2 - 1344*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 17 = p, 5*p + k + k = 16. Suppose -4*f + i = -12, p*f - 20 = -2*f - i. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 406576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*f = 0, -8*f + 10*f = 4*v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsshphopup. Give prob of sequence uo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - 18552226.\nAnswer: -18552180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/90 and -19\/35.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u + 12460 = -27*u. What is the remainder when u is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 10*n - 17. Give k(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5253*p + 1563*p - 142*p - 4326*p.\nAnswer: -8158*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*b**4 + 20\/9*b + 0 + 38\/9*b**2 + 16\/9*b**3 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + 13 + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2029 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 4, g: 4, u: 12}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v + 7. Let i(j) = j + 7. Let t be i(5). Let w = -7 + t. Determine y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 1\/12*y**4 + y**2 - 235*y + 0*y**3 + 0. Let h(n) = n**2 - n + 1. Give -2*h(i) + s(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5 - 11. Suppose -2 = -t + l + d, 3*l + 6 = 0. Solve -5*k - w = t, -4*w + w - 12 = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79306 divided by -39653.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*r + 21866, -c = 4*r + 4*c - 21863. Let m = -43827\/8 + r. What is the common denominator of m and 45\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5, 1\/2, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 2*w - 4*w + w + 5*w + (-2 - 1 + 5)*(w + 2*w - 6*w) - 2*w - w + 4*w)*(4 + 2 - 3).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2424 - 2252?\nAnswer: -5120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/32 and 97\/40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 616 divided by -7\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 3*s**5\/10 - 5*s**3\/2 - 11*s. What is the second derivative of k(r) wrt r?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 456.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 6*j - 9*j + 7, 2*j = r + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2) - 5)*(-60)\/(-55)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 513 = -2*l. Let z = l + 331. Solve 37*h - z = 42*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 14*u + 2*u**2 + 3 + 3 + 48*u - 29*u to the form v*u**2 + y*u + l and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/((-4)\/30). Suppose 4 - 19 = -y*k. Calculate the remainder when 10 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*q - q**2 - q**2 + 102*q - 18*q.\nAnswer: -2*q**2 + 375*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963564.\nAnswer: 2, 490891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**39)\/(j\/j**(-1))*(j\/(j**(-18)*j))\/j**(23\/4) assuming j is positive.\nAnswer: j**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-14)\/8 + 47\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -258, -262, -266, -270?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, 3, -0.56 in ascending order.\nAnswer: -2, -0.56, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2160 and 107\/80676.\nAnswer: 1613520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)*-2)\/((sqrt(28) - (sqrt(700) - sqrt(28)))\/sqrt(4)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377 by 6.\nAnswer: -377\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*j = 20, -3*j - 12 = -5681*l + 5682*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1450*n + 490*n + 498*n + 38*n**2 - 1 + 505*n)*(6*n**2 - 4*n**2 - 4*n**2) as l + a*n**3 + j*n + y*n**4 + s*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 53. Let w = g + 47. Let u = w + -17. What is the closest to -5 in 1\/3, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 1\/120*n**6 + 0*n + 1\/4*n**4 + 0 + 5\/6*n**3 + 2\/15*n**5 + n**2. What is the units digit of g(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5\/5 - 3*r**4 - 3*r**3\/5 + 87*r**2\/5 - 36*r\/5 - 108\/5 = 0?\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 815?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 756419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3)*1 + -1. Let j be (7\/2 + y)*2. Suppose -2*u + 16 - 50 = -j*g, 5*g = -3*u + 63. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 + 1 - 1)*(3*v - v + 2*v) + (5*v - 3*v - 3*v)*(1 - 1 - 2*v**2) - 8*v**3 - 2*v**3 - 2*v**3 as h*v**2 + k*v + w*v**3 + r and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3241898043 to the power of 1\/3, to the nearest integer?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.9 not equal to 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 2*j**2 - 3*j + 7. Let n be v(3). Let i be (-93 + (4 - n))\/(-1). Calculate the highest common factor of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664795 is divided by 332336.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3398, 14, 39 in descending order.\nAnswer: 3398, 39, 14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -2\/9, 0.3, 0.2, 0.15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18870486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 1 z when three letters picked without replacement from {b: 2, o: 1, u: 1, z: 1, p: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -32, -99, 2\/7, -0.07, 0, -2.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 0 - 3*x - 4 + 755557*x**2 + 2*x. Suppose -d + 4*d - 9 = 0. Let q be z(d). What is q rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 a when three letters picked without replacement from puagvgapgpugrgu.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 106568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67808936 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 60 = -11*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:35 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 45*n + 46*n - 47.\nAnswer: n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 - 3*y - 6. Let n be v(-4). Let l be n*3\/(36\/(-40)). Let s be 23\/4 - (-15)\/l. Solve 3*j - s = 5*g, 0 = -3*j + 3*g - 3 - 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 6, -2655, -2.\nAnswer: -2655, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 811422 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 + 3*p - 2. Suppose 5 = -4*q + 5*q, -5*l + 15 = -3*q. What is n(l)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)*a)\/(a\/(a*a*a\/((a\/a**(-1\/8)*a)\/a))) assuming a is positive.\nAnswer: a**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -600? (a) -2\/9 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 620994.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + (4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (-2 - (-9 + 6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -65.9999946. Round t to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15040)\/52640)\/((1\/(7\/(-62)))\/2)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -63*p - 603. Let q be d(-10). Suppose -3*o + 729 = -0*o. What is the highest common factor of o and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 34. What is n(-10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.053 and 13.\nAnswer: 12.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 1:21 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*f - 30, -s = -2*f + 1 - 3. Suppose 30 = 5*b - 5*k, 3*b + 3 = s*b + 2*k. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1671 = -10*q - 309. Let n = -11 - -70. Calculate the remainder when n is divided by (-274)\/(-18) - (-44)\/q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(35\/10) - 151\/7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*((3*(sqrt(143) + sqrt(143) + sqrt(143)*4) + sqrt(143) + sqrt(143))\/sqrt(11) + -5).\nAnswer: -28 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/7)*y**(-2\/9)*(y**(1\/2)\/y)\/y**9)**(-1\/29) assuming y is positive.\nAnswer: y**(1081\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -114 in 2\/5, 1\/6, 1\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1969, 201798, -2, -5 in ascending order.\nAnswer: -5, -2, 0, 1969, 201798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 6. Suppose g*z - 7*z = -60. What is the highest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/37 - 48048\/(-59829).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24*1\/2 + (4 - 8). What is the greatest common divisor of 1208 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100856 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 14*r**2 - 14*r + 8. Let m be g(13). What are the prime factors of 30*m*(-4)\/50?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 - (1 - 7). Suppose -5*b = -3*q + 6*q - 37, -3*b = 4*q - 42. Let w(z) = -1534*z**2 - 2*z + 1533*z**2 + q*z. Give w(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + -2. Let y = -15 - b. What is the nearest to 0.1 in -1, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-137 + 9)\/(-8) + 6\/(-1). Let f be 89 - (3 + -6 + 2). What is the highest common divisor of c and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25155 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + -0.3. Let k = 313.9 - 324.9. Which is the closest to 2\/7? (a) k (b) t (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*s - 192\/5 + 2\/5*s**2.\nAnswer: 2*(s - 8)*(s + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -194579, 0 in decreasing order.\nAnswer: 4, 0, -4, -194579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 19559*d + 104 + 32.\nAnswer: 19559*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 61\/4 of a kilometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10221012 (base 3) to base 5\nAnswer: 42432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0*n**3 + 1\/60*n**5 + 5*n**2 + 0*n + 0 - 1\/24*n**4. Let i(c) = 3*c**2 + c + 2. Let l(y) = i(y) - 4*w(y). Give l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, -1, 0.5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w - 3*o = 1, 1 = 2*w - o. Let r = 1 + w. Suppose 2*q + 137 - 1183 = r*z, q + 2077 = -4*z. Round z to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237883 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18*g + 224 = 0. Let h be (-168)\/g + 10 - (-9)\/2. Solve 0 + 0*n**2 + 3\/4*n**h + 0*n - 3*n**3 = 0 for n.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45 and 0.28009.\nAnswer: 45.28009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18222440 divided by -198070.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85562 and 1432.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((66\/12)\/(-11))\/((-1)\/484)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684873 divided by -4659.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -423960000 rounded to the nearest 1000000?\nAnswer: -424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114309807 divided by 5?\nAnswer: 114309807\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(3 - -2))\/(-3). Let r = -11 + 7. What is the nearest to 2 in r, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 + 497. Suppose -148 = -71*p + w*p. Solve -7*t - 23 = 2*q - 2*t, 0 = 3*q + p*t + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1012522, -1012516, -1012506, -1012492, -1012474, -1012452, -1012426?\n\"Answer: 2*x**2 - 1012524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 26. Solve -q + j + 5 = 4*r, q = 2*r - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q - 2. Let a be r(6). Suppose 0 = -2*w + 2*o, -w - 3*o = a*w - 16. Solve -u + 3 = -w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 10:14 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 - 358. Let i(y) = 44*y. Give z(i(v)).\nAnswer: -11616*v**2 - 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*j**2 + 5333065*j - 2133230.\nAnswer: 5*(j + 213323)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -284 + 173. Let d = g - -116. Suppose -4*t = -d*u - 7*t + 752, -3*t + 12 = 0. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*y - 7 - 2, 3*y + 28 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q - 66. Let f be u(0). Let l = f + 97. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 1 + 0 - 3*a. Let w(o) = -o**3 + 5*o**2 - 4*o. Let q be w(4). Let f be v(q). Is f < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 + 3 + t**3 - 2 + 4 - 6*t. Let d be g(-7). Factor 2*w**3 - 2*w - 96 + d.\nAnswer: 2*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/7)*v)**(4\/3)\/((v**(-1)\/v)\/(v*v**(4\/9))) assuming v is positive.\nAnswer: v**(289\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 4*a**3 - 2*a**3 + (-3*a - 28 + 28)*(2*a**2 - 3*a**2 - 3*a**2) - 3*a**3 + 2*a**3 + 2*a**3 + (0*a - 2*a + 0*a)*(6*a**2 + 5*a**2 - 4*a**2).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyywww. Give prob of picking 1 y and 1 w.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652.16 kilometers in micrometers?\nAnswer: 8652160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-5)\/((-120)\/52674) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116716\/13 or 8979?\nAnswer: 8979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/39 - (-4)\/26. Let t = 394 - 628. Let f = 2108\/9 + t. Put -0.1, f, l in decreasing order.\nAnswer: f, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 23*b**3 + 28.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1590 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -123.6 (b) -2\/9 (c) -29 (d) 3 (e) 1\/3 (f) -0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5\/4, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1045\/200 - 6\/10. Let w = -19\/8 + y. Suppose -1\/2*x**2 + 1\/4 + x + w*x**4 - 3*x**3 = 0. What is x?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -167 or -188?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 17 = -3, 0 = a - 4*n + 2549984. What is a rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2005005 divided by -401001.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 363375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4306889, -4306904, -4306919, -4306934, -4306949?\nAnswer: -4306964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 - -112.1. Let i = r - -11. What is the third biggest value in 0.5, 6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00610478903 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19634*a**3 - a**2*g**2 - 5*a*g**2 - 465*a*g + g**2 wrt a?\nAnswer: -117804*a - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 57*d - 2443. Give n(-25).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -504 - -1051\/2. What is the common denominator of 6*(-150)\/48 + -4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyhyggryr. Give prob of sequence yh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 14*b**2 - 157*b - 201. Give q(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185856785?\nAnswer: 5, 59, 630023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + -0.55. Let h(o) = o**3 - 11*o**2 - 26*o + 5. Let x be h(13). Which is the third smallest value? (a) u (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-4))\/(435\/(-1160)))\/((-57)\/247)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54)\/(-8))\/((-24)\/64). Let v(l) = -l**2 - 22*l - 27. What is the units digit of v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, g: 3}. What is prob of picking 1 p and 2 g?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241 (base 12) in base 8?\nAnswer: 16121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 157, 3, -1\/2, -188 in decreasing order.\nAnswer: 157, 3, -1\/2, -5, -12, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 135393331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*l + 84*l + 11550. Suppose l - 425 = 13*z. List the prime factors of z.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -606226 - -299?\nAnswer: -605a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75627562?\nAnswer: 2, 19, 73, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - -7 - (-14 + 25))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovv when three letters picked without replacement from {o: 1, x: 4, p: 1, v: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 808202832 to the power of 1\/2, to the nearest integer?\nAnswer: 28429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 27*c - 7. What is the hundreds digit of q(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29.2282 grams?\nAnswer: 29228200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/6180809?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 139870033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 - 4*u**2 + 24 + (21*u - 6*u - 7*u)*(0*u + 2*u - 4*u) - 7*u**2 + 2*u**2 + 2*u**2.\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-1) - (1 - -2). Find the common denominator of (-6)\/o - (-30)\/32 and 31\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*h + 574 - 584, h - 219 = -108*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81070 and 2057.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:07 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-231)\/(-72)) - 2\/(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 2)*(4 - 1 - 5) - 7 + 1 + 1)*(-516*s**4 - 366433*s + 366433*s) + (2*s**4 + 4*s**2 - 4*s**2)*(3 - 1 - 1).\nAnswer: 5678*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 21*n = 83*n - 2149602. Is 127 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 0, 4, 36 in ascending order.\nAnswer: -14, -1, 0, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -401419, -802827, -1204235, -1605643, -2007051?\n\"Answer: -401408*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 47 = -p. Suppose -o + p = 2*o. Calculate the remainder when o is divided by ((-2)\/(-10))\/((-3)\/(-129)) - (-2734)\/6835.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (-17 - (-32 - -11))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*h**4 + 402*h**4 + 75*h**2 + 2*h**3 + 349*h**2 + 203*h**2 + 134*h**2 wrt h?\nAnswer: 12528*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1224*i**3*o**2 - 2*i**2*o**2 - 65543*i**2 - 18*i*o**2 + 5*i*o + 657*i - 20*o**2 + o + 4 wrt i?\nAnswer: -7344*i*o**2 - 4*o**2 - 131086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k*k*k**3*k)\/k*k*k*k*k**(5\/3)\/k)**(-40) assuming k is positive.\nAnswer: k**(-1280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -394 + 242. Let u = h - -153. What is the lowest common multiple of 62 and u?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 1. Let r be z(-4). Let m = -2 + r. Suppose 3*a + 8 = m*a. Solve -i - a*i = -25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 divided by -655?\nAnswer: -189\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -22. Let b = -31 + i. What are the prime factors of 4\/b*2 + 35?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -592903*p**3 - 628*p**2 + 594469*p**3 - 1 - 3*p + p wrt p?\nAnswer: 9396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 9019 + 237. Suppose d - 24 - 5 = -5*j, -4*d + 6 = -2*j. Suppose j*b - 165 = 2*g - q, 0 = -3*g + 5*b + 808. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*f, 3*f = -2*f + 5*x. Solve -5*u = -f*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27721909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/24 + r**3\/6 - 2*r**2 - 3*r. Let g(l) be the first derivative of p(l). What is the first derivative of g(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeue when four letters picked without replacement from uueuvueeuuuv.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1901, 2890, 2101, -1354, -8363?\n\"Answer: -148*k**3 - k**2 + 2028*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48219786 to the nearest integer?\nAnswer: 6944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4809 and -158448.\nAnswer: 761976432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 7:36 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/((-3)\/48). Let y = t + 17. List the prime factors of 0\/y + 10 + 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 5*i**7\/42 - 11*i**6\/3 - 75*i**5\/4 - 5*i**4\/3 + 250*i**3\/3 + 1934*i. Suppose h(j) = 0. What is j?\nAnswer: -2, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 82.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b2cd5e + 4?\nAnswer: b2cd62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 169.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*n - 12095 + 6663 = 17237 + 6503 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1939 + -1962 + (-1)\/(4\/(-176)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 5. Let x be 0\/(-2 - (-2)\/(-2)). Let l be k(x). Let j(v) = v**3 - v**2 - 3*v - 1. Is 12 a factor of j(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*k + 2961 = 112*k - 1050 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(500)*1)**2 + sqrt(500) + (sqrt(5) + 4 + sqrt(10)\/sqrt(2) + sqrt(5) - sqrt(25)\/sqrt(20))**2.\nAnswer: 30*sqrt(5) + 2185\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 + 126*5\/20. Let f = p - 31. Let n(r) = -4*r + 2. Let b(w) = 5*w - 3. Let a(t) = 5*b(t) + 6*n(t). Calculate a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -2 (c) 47 (d) 5226 (e) 3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1826*h**2 - 298*h + 152. Let r be d(56). What is r rounded to the nearest 10000?\nAnswer: 5710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4*n + 537839*k**2*n**3 - n**3 - 3220*n**2 - n + 299 wrt k.\nAnswer: 8*k**3*n + 1075678*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 154, 485, 1136, 2215?\n\"Answer: 18*r**3 - 2*r**2 - r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 2, g: 1, u: 1, w: 1, b: 1}. What is prob of sequence jjdb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277113 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 4*w)*(-1 - 2 + 5)*(2*w - 7*w + w) - 1 + 1 - 2*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107887 and 2193.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 - 2. Suppose -3*p + p - 2 = 0. Let n = -15902.2 + 15902. What is the nearest to p in n, b, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-80) - (-5)\/4. Suppose 0 = v - 0*v - 4*f - 57, -l*v + 5*f + 99 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 2*s**2 - 2*s**2)*(2 - 5 + 2)*(4*s - 4*s + s) + (1 - 6 + 4)*(4*s**3 - 3*s**3 + s**3) + 4*s**3 - 4*s**3 - 2*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8 and -58\/16499.\nAnswer: 131992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -1*1\/(4 + -3). Suppose -k*g + 36 = 4*g. Suppose 46 = g*b + 16. Solve 2 = -b*w - 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - o - 2 + 5, -4*g = 4*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 30*h**2 - 104*h + 16. Calculate k(-15).\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*a**3*u - 11278*a**3 - 2*a*u + 2*u with respect to u.\nAnswer: 20*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3*(1*35607\/(-12) + (-19)\/(-76))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 - 66*z**3 + 68*z**3 + 1.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x. Let y(c) be the second derivative of 0 - 8*c + 11\/12*c**4 + 0*c**2 + 0*c**3. Determine y(p(i)).\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1330 + -370. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3388450 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 62714835 divided by -15\nAnswer: -4180989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(171) + 3 + sqrt(171).\nAnswer: 5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-71077)\/(-34))\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 203?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8972.57 times -3?\nAnswer: 26917.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297791 bigger than 3297815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 119824.786 and 0.05.\nAnswer: 5991.2393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -93?\nAnswer: -11\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 81*b = -1649. What is the greatest common factor of 4 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**3 + 3*q**2 - 7*q + 3. List the prime factors of t(2).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 25*q**3 - q**2 - 2*q - 1. Suppose w - 5 = -g - 4, 5*g = -w - 11. Suppose -3*i = -w*k - 6*i - 4, 5*k + 4*i = -6. What is the units digit of a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 1. Let p be a(-3). Suppose -4*i = -23 + 7. Let w(s) = i + p*s + 1 + s**2 - 3. Give w(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18869.\nAnswer: 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (sqrt(57)\/sqrt(3))**2 + (-1 + sqrt(1216) + -1*sqrt(38)\/sqrt(2))**2.\nAnswer: -14*sqrt(19) + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 2*h - 34*h**2.\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/415690 and 16\/207845.\nAnswer: 415690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19109206 + 11322\nAnswer: -19097884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233303310 (base 5) in base 7?\nAnswer: -60213545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8968\/3 + -107507\/36. Find the common denominator of o and 107\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2, -5*u - 2*a + 25 = 3*a. Solve 5*h - 4*h + u = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 1772*v + 116. What is w(0)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + q + 6, q = -2*b + 5*b + 10. Let u = b + 0. Let n be (0 - 9\/(-24))*-4. Is u bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 2*p. Let y = p - -16. Let f(l) = 3*l + 3*l + 2*l**2 - y*l. Let n(b) = b. What is f(n(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753655203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6592999.\nAnswer: 7, 197, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**2 - 3*c**2 + 200*c + 60*c + 1176*c**5 + 54*c + 20*c wrt c.\nAnswer: 70560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 4, 32.\nAnswer: 4, 32, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/117343 and 133\/6.\nAnswer: 704058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155565*y**3 + 484106*y?\nAnswer: 933390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/20 + 5*n**4\/12 + n**3 - 4*n**2 + n. Suppose 106*u = -203*u + 1854. Calculate g(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfzzfyybfbfzpdpb. Give prob of sequence pyf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*k - 348 = t, 4*t = 5*k + 696. Let b = t - 12. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4594231 is divided by 3711?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3 = y - 1, 0 = 5*f + 2*y + 7. Let g(r) = r. Let z(v) = -v. What is f*z(h) - 3*g(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513276 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*b + 15*b - 30*b + 15 - 7*b**2 + b**2.\nAnswer: -6*b**2 - 55*b + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:29 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 13*w**5\/20 - 5*w**4\/4 - 9*w. Find the third derivative of r(x) wrt x.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 22*z**3 - 2*z + 2*z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 10*w + 4. Let y(f) = -2*f**2 + 29*f - 12. Let m(x) = -17*s(x) - 6*y(x). Let z(c) = -9*c**2 - 7*c + 7. Calculate 7*m(v) - 4*z(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -19. Let h = 163323 - 163325. Which is the second biggest value? (a) 0 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1894005 divided by 126267.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-96)*2*((-1323)\/6)\/(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5))**(1\/10)\/(b**(1\/2)\/b)**(-42))**34 assuming b is positive.\nAnswer: b**(-17799\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/10 and -76\/819?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49154.73 millennia in decades?\nAnswer: 4915473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -10. Let s = 7 + c. Solve s = 6*p - p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -3*u. What is the remainder when 0\/8 + 11 + -2 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22095 = -1294*t - 164*t - 110583 for t.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inijjttutuuanii. Give prob of sequence titt.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1199455, -2398907, -3598335, -4797727, -5997071, -7196355, -8395567?\nAnswer: -9594695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2727.972 rounded to the nearest ten?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54661, 54430, 53803, 52582, 50569, 47566, 43375?\nAnswer: 37798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3 - 136338*s**2 + 2454813*s - 11047752 = 0.\nAnswer: -45464, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -8. What is the remainder when 20 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2 - 5*p**5 + 0 - p**3 + 0*p + 43\/4*p**4 = 0?\nAnswer: -1\/4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253958 is divided by 84388.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q. Suppose -15 = -2*n - 3*f - q*f, -2*f = -5*n - 10. Suppose -z + 21 + 14 = n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173 + 861\/5. Let k = -241 + 236. Which is the third biggest value? (a) 2\/7 (b) -0.2 (c) q (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p. Let m(z) = -1825*z**2. Determine m(a(v)).\nAnswer: -220825*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-6) + (-1)\/(-3). Let i be (0\/(-3 + -1))\/b. Suppose -5*n + 5*f + 110 = i, 7*f - 31 = -3*n + 3*f. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-9 - -2)*-58. Suppose -5*k + 29*y - 26*y = -1198, -3*k + 4*y + 721 = 0. Let l = u - k. Round l to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, -36.\nAnswer: -36, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 32 - 32 + i.\nAnswer: -i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - (-11657 + (-24)\/3))*1 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/14)\/(2\/7). Suppose 0 = -f*y + 6 - 0. What is the first derivative of -d + 4 + y - 1 wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 561\/7 + -80. Let f = -1.4 - -1.7. Which is the third biggest value? (a) f (b) -1\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-2 + -1) - 3. Suppose y*r + 203 = -5*i, -2*r = -4*i - 51 - 101. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 34 = 2*z, -4*b - 2*z = -34 - 16. Let j(v) = -5 + 15*v**2 - 16*v**2 + 16*v - 3*v. What is the remainder when b is divided by j(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111 and 49687.\nAnswer: -5515257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/(-63*(-32)\/235872)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 157*t**2 - 38 + 2*t**3 - 156*t**2 - 82 + (5*t - t - 2*t)*(t**2 + 4*t**2 - 3*t**2).\nAnswer: 6*t**3 + t**2 - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9167715, 0.2, -3\/7, 1?\nAnswer: 9167715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*w**2 + 311*w - 86*w - 247*w**2 wrt w?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7201 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68377041 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9427*k**3 - 515*k + 8295. Let j(d) = 4713*d**3 - 206*d + 4147. Let r(h) = -10*j(h) + 4*n(h). What is the derivative of r(u) wrt u?\nAnswer: -28266*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 2a99?\nAnswer: 2a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(-15)*95\/(-38). List the prime factors of (4*c\/48)\/((-1)\/2046).\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2386740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2596298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -104, 2, -4, 3.\nAnswer: -104, -34, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*v - 13970, -v + 10 = -6*v. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/180)\/((36\/16)\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*v + 972900 = 392*v. What is v rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 + 2*i - 5. Let b be h(-5). Solve 5*o - 5*q - b = 0, 2 = 5*o + q + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 757549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) + 7\/15. Which is the third smallest value? (a) 2\/5 (b) -0.2 (c) -4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(3\/4)*q)**46*((((q*q*q**(-6)\/q)\/q)\/q)\/q*q*q)\/(q**(1\/5)*q*q*q))**(-43))**(7\/13) assuming q is positive.\nAnswer: q**(-353073\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -1\/3*x**3 + 0 + 1\/30*x**5 - 1\/12*x**4 + 0*x - 202*x**2. Find the second derivative of t(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 289*m - 1478. Let d be h(5). Sort 5, -1, d, 3, -22 in ascending order.\nAnswer: -22, d, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 6*j - 1. Let h(x) = x**2 + 15*x + 7. Let g be h(-14). What is k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v = 100. Let h = v + -23. Solve h*k = 10 - 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13551 + 17046. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -21. Solve 3*p + 2*u - 5 + 0 = 0, q*p + 2*u = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 97 - 50 - 47.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18203724 and 88\/105.\nAnswer: 91018620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-60))\/(3708\/3296*(-4)\/3).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*g = -240 + 1752 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -306 + 11326\/37. Is s > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 - 284*u**2 - 35524*u + 2617820 = 0 for u.\nAnswer: -95, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 502 from 3.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-32)*((-5)\/(-15)*-3)\/(-1)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725346?\nAnswer: 2, 3, 59, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -710564, -1421116, -2131668, -2842220, -3552772, -4263324?\nAnswer: -4973876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*o + 38 - 0, -2*o - 20 = -2*r. Solve 11*l + 2 + r + 2*l**2 - 3*l + 0*l = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 250367138*o + 64712769 wrt o?\nAnswer: 250367138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.01 (b) -1 (c) -0.1 (d) 0 (e) -24\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + sqrt(567) + sqrt(567) + -1 + 1 + sqrt(567) + -1 + sqrt(567)))**2.\nAnswer: -432*sqrt(7) + 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 9*l + 6*l to the form j*l + m and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*t + 148, 0 = -2*c + 6*c + t - 148. Suppose -c = -5*l - 7. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/176)\/(168\/(-784))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/4 - q**3\/3 + 3*q**2\/2 - q. Suppose 140 = -9*j - 11*j. Let i(o) = 6*o**2 - 4*o + 7. Give j*n(r) + 3*i(r).\nAnswer: -3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -6*g + 2*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1046 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 13051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 446.3.\nAnswer: 449.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 844100\/9 + -94014. Let v = 225 + n. Are v and -1\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2. Let n be -3*((-8)\/(-36) - 14\/9). Let v = 18 + n. Let g(i) = v*i**2 - i**2 - 5*i**2. What is g(r(x))?\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 take away -13379876382?\nAnswer: 13379876382.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*c + 3*n + 7, 0 = -3*c - 5*n + 31. Suppose 3*x + 4*z + 2 = 0, -x - 2*z - 10 + 8 = 0. Calculate the highest common divisor of x and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmkmkkkkww. Give prob of picking 3 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 126308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1410*n - 409 + 409)*(5 + 0 + 0).\nAnswer: 7050*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8770198l to millilitres.\nAnswer: 877.0198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -139052.3*-0.4\nAnswer: 55620.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 164294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1945666.2 - 616161\nAnswer: 1329505.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.29 - 0.14. Let l = 4 - v. Let f = -0.15029 - l. What is f rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*r + 4, -3*g - r + 22 = r. Let c be ((-4)\/4 - 0) + g. Solve -6*f = -c*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -2\/7 (b) -2774 (c) -2\/23 (d) 1 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0 - 10. What is the remainder when 12 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12222*y**5 - 49727*y.\nAnswer: -244440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192) + (4 + -2*sqrt(192))**2 - (-6*(1 + sqrt(363)))**2).\nAnswer: 1824*sqrt(3) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -10. Let m = -94\/9 + 676\/63. What is the nearest to m in 0, -2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3440 and 340240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15\/8 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(144))\/sqrt(12) + sqrt(12) + (sqrt(12) - (-3 + sqrt(12)*-1)) - -4*-4*(-1 + sqrt(48)).\nAnswer: -62*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 38, 58, 84?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 94*r**2 + 1348*r\/3 - 544.\nAnswer: 2*(r - 1)*(r + 6)*(r + 136)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**2 + 26*u**2 + 13*u**5 + 261*u**3 + 2*u**5 - 254*u**3 wrt u?\nAnswer: 900*u**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 134 = 2*d - 136, n + 3 = 0. Solve -10*f = -d*f - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*c = 0, -3*c + 2950 = -2*y + 2957 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 7*a. Let t(h) = -2*h**3 - 4*h. Let s be 0 - (-280)\/(-84)*(-6)\/(-5). Determine s*q(c) - 7*t(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) - sqrt(140)\/sqrt(5)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.94 + 0.06. Let s = 589 - 1799\/3. Let c = -172\/15 - s. What is the nearest to d in -1, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 14*c**2 + 2*c + 13*c**2 + 14. Let d be p(-7). Let z = d + 30. Solve -2*l - 12 = -3*g - 2*g, -z*g - 2*l + 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81\/4 + -20. Let l = -171.29 + 61.29. What is the smallest value in -0.5, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41095963.\nAnswer: 23, 1786781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 12. Let m be c(13). Calculate the common denominator of m\/((-2)\/59) - 1 and 47\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 54662652*j**2 + 186750372560892*j + 186750317898244.\nAnswer: 4*(j + 1)*(j + 6832831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**9\/756 - o**6\/360 - 7*o**3\/6 - 8*o**2. Let q(g) be the first derivative of x(g). Find the third derivative of q(r) wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2801 + -2447. What is the greatest common factor of a and 1593?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 10:01 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 at most as big as 1\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11652 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 390, 1632, 3708, 6624, 10386?\n\"Answer: d**3 + 411*d**2 + 2*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2282 is divided by 177.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4)\/((g**(-1\/7)*g)\/g))**18*(g**4\/g**(-7\/2))\/((g*((g*g**7)\/g*g)\/g*g*g)\/(g**7*g)) assuming g is positive.\nAnswer: g**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 + 1150412*b**3 + 5751988*b**2 + 8052756*b + 3451176 = 0 for b.\nAnswer: -287598, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 384 - 12. Find the common denominator of 51\/16 and 0 + 3 - k\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g + 6. Let n = -86 + 75. Let p(r) = -r**2 + 4*r - 3. Let h be p(2). Let f(c) = -5 - h - 2 + 7 + 2*c. Give n*f(u) - 2*k(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 2*g - 1. Let o = 24 - 15. Let r = o + -5. Let d be (3\/12)\/((-1)\/r). Give y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 98118*j - 588703. What is q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 2*v + 2. Let j be h(-2). Suppose j = 5*s + 2*x - 31, 5*s + x = 41. Calculate the remainder when 25 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6 and 79\/1346?\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/8539 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 899 and 1022888.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.4 + 30. Suppose -2*o = -o + 3*x + 16, 0 = -3*o + x - 28. Let t be 4\/(-5)*o\/4. Which is the nearest to -2? (a) d (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/4*(-8)\/(-12). Let i(w) = -w + 5. Let b(m) = 2. Calculate q*b(l) - 2*i(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221252 is divided by 14750.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 219 = -1011. What are the prime factors of p?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 22*c + 7. Let y(z) = -11*z - 3. What is -2*d(a) - 5*y(a)?\nAnswer: 11*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-6 - (11 - (-7 + 15))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**4*q - 21*h**2*q + h*q + 179*q wrt h?\nAnswer: 4*h**3*q - 42*h*q + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1781.58 - -85.\nAnswer: -1696.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) + (sqrt(143) - (sqrt(143) + -2*sqrt(143) - sqrt(143)))*-6 - -2*sqrt(143)*3)\/(sqrt(704) - (sqrt(704) + 2*sqrt(704) + sqrt(704))*4))**2.\nAnswer: 1573\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by 9\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 18. Let g be j(18). Put -15, 5, g in ascending order.\nAnswer: -15, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 168 + 163 - 491 - 9*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 10824321688633?\nAnswer: 10824321688633.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499032*-0.5.\nAnswer: -249516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -31. Let i = 3.9 + 8.6. Let k = s + i. What is the third smallest value in k, -0.2, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002749287 rounded to five dps?\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -611\/10 - -323\/5. Sort -2, n, 0.4, 5 in decreasing order.\nAnswer: 5, n, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 39264*h - 39262*h - 5*s, 0 = 2*s + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 806. Let f(x) = 6*x. What is h(f(v))?\nAnswer: -72*v**2 + 806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(9)\/sqrt(3) - sqrt(3)) + (sqrt(3) - 5*sqrt(12)\/sqrt(4) - sqrt(3))**2 + (0 + sqrt(3))*-1*5.\nAnswer: -2*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 + 2*k**3 + 2*k**3)*(-5 - 7 - 17) + (2*k + 2 - 2)*(6*k**2 + 11 - 11) + (1 - 2*k - 1)*(3*k - 3*k - k**2).\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 778*t**4 + 2*t**2 - 3 + t**2 - 10*t**3 + 2*t**2 + 2*t**2 - 777*t**4 in the form f*t + d*t**2 + a*t**3 + q + c*t**4 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/6*(-71)\/((-15407)\/(-124)))\/(1\/(-8))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -309 and 1.2972?\nAnswer: -400.8348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23978173.\nAnswer: 1571, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 4*y**2 + 11*y + 6. Let h be n(7). Let d = 229 + h. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**21)\/(((g**13\/g)\/g*g)\/g*g))\/(g\/g**(-25)*g**(-19)*g) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7010*o**2*q**2*w**3 - 3*o**2*q**2 - 2*o**2*q*w**2 - 3*o**2*q*w + 2*o*q + 153969*o*w**3 + 177*q**2 wrt q.\nAnswer: 14020*o**2*w**3 - 6*o**2 + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v**(-1\/3)*v)\/v*v*v*v*v))*v*((v**(-3)*v)\/v)\/v*v)\/(v**(-3\/4)*((v*v*v\/v**4)\/v)\/v) assuming v is positive.\nAnswer: v**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021755 to six dps.\nAnswer: 0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (14 - -5) + -1 + -2 + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 578 - 582. Let r = -52 - -77. Let z = r + -25.13. What is the biggest value in s, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36288.93 years to decades.\nAnswer: 3628.893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 + 10*t - 12. Let s be z(9). Let q = 24 - s. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 30.193g?\nAnswer: 0.000030193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 7 (c) -22 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.13 + -5.03. Which is the nearest to 2\/3? (a) i (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23066\/190 + -4 + 1034\/(-235).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/60 + u**4\/24 + 5*u**2. Let s be g(1). Factor -2\/7*b + s - 30\/7*b**3 - 2*b**2 - 18\/7*b**4.\nAnswer: -2*b*(b + 1)*(3*b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x = -12. Suppose 0 = x*c - 4*v + 2*v - 950, -2*c + 2*v + 630 = 0. Suppose -4*u - m + 224 + 17 = 0, 0 = 5*u + 5*m - c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 52.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9 + (4807\/(-57))\/(-11). Put 302, -5, d in descending order.\nAnswer: 302, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001010111011 (base 2) to base 13.\nAnswer: 14136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -10. Put -3, -4, 1, z in decreasing order.\nAnswer: z, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*p + 4. Calculate the remainder when -1 + p*11\/(-2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r + 276. What is the remainder when 10 is divided by f(45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/336 + 7*z**6\/120 + 27*z**5\/80 + 11*z**4\/12 + 65*z**3\/48 + 9*z**2\/8 + 2*z - 287. Factor y(w).\nAnswer: (w + 1)**3*(w + 2)*(w + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.36 - -0.64. Let z = y - 58. Let a be 6\/(-2)*(-6)\/(-99). What is the biggest value in a, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 + 189. Suppose 25 = 3*p - f. Calculate the greatest common factor of 58 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Let w be ((-51)\/(-15))\/(-1) + 3. Sort w, -2, t in descending order.\nAnswer: w, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 71. Let m be s(28). Let y = 31 + m. What is the smallest common multiple of y and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 - 363. Let i = a - -787. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b - 3 = 0. Suppose 0 = 13*d - 12*d + 3. Suppose -2*x + 18 = -2*w + 4, 32 = -5*w + 4*x. Put b, w, -1, d in descending order.\nAnswer: b, -1, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*8*-1. Let a(h) = -h + 10. Let u be a(s). Suppose 2*g - 2*z - 20 = 0, 0 = -5*g + z + 84 - u. Calculate the highest common factor of g and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -26*t + 5. Let m(k) = -1. Let u(j) = -h(j) + 2*m(j). Let i be 4 - (3 - (-2)\/(-1)). Is u(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.227 - 1.147. Let m = 0.6 + -2.6. What is the closest to -8 in 0, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -22. Suppose 4*m - 2*m = 162. What is the greatest common factor of q and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 4*r - 28. Solve -2*p - r*n - 18 = -3*n, 5*p + 2*n + 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:45 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510 by 51.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10)*(-9)\/2)\/(1986\/(-662)). Factor -3\/5*v**5 - 3\/5*v + 3\/5 + 6\/5*v**3 - 6\/5*v**2 + j*v**4.\nAnswer: -3*(v - 1)**3*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7057 + 21170\/3. Which is the second smallest value? (a) -0.2 (b) -2\/7 (c) -3 (d) o (e) 7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 495534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 302*b + 22. Let h be p(5). Suppose 0 = 4*z + 5*f - 6832, 3*z - 3585 = -2*f + h. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k**2 - 14*k. List the prime factors of p(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/3 + 86*n**3\/3 - 660*n**2 - 6692*n. Suppose i(h) = 0. Calculate h.\nAnswer: 10, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 561528\/9641?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - 199433?\nAnswer: -199405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - k + 64 = 0, 30*o - 20 = 28*o + 5*k. Solve 4*d + 7*v = 3*v - 16, -4*v - o = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49724011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 853649*u - 1804022 wrt u.\nAnswer: 853649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -290, -5 in descending order.\nAnswer: -5, -27, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/5497 or -1?\nAnswer: 16\/5497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 303686032 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-6))\/((-1)\/(-6)). Suppose 4*i - 20 = -f*j - i, 16 = -2*j + 4*i. Suppose 2*m - 3*m + 13 = j. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/13 + 17261396*z\/13 - 37244473983602\/13.\nAnswer: -2*(z - 4315349)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47*l**3*o**3 + 4*l**3*o + 115*o**3 wrt l.\nAnswer: -141*l**2*o**3 + 12*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 31346062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 41 (b) -0.3 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -25. Suppose 5*x - 33 = 37. Calculate the least common multiple of x and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43528611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n, 8*a + 6*a + 2*n = 10*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - z. Suppose c = 2*f + 54, -5*c + 8*f + 348 = 54. Sort -3, z, c.\nAnswer: -3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-164)\/(-900) - 4\/18). Calculate the highest common factor of 75 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c = 33*c - 9, 5*h - 3*h + 3*c - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -34243354?\nAnswer: 34243353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) -5\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5944680 and -109\/283080?\nAnswer: 5944680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -19 - (-88 + (-91 - -182))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51 - -57 - (2 + (0 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-4)*53\/((-1219053)\/(-492)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4 - 5 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -13.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 94 * 2\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143588 + 143587.8999986. Let m = -0.1 - h. Round m to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.26682 to two dps.\nAnswer: -4.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(168)\/sqrt(7))\/sqrt(8) + -5 - (1 + sqrt(27) + -5)))**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 - 4 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/162*3)\/(7\/(-6))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + t)*(3 + 0 - 2) + 0 + t + 0 - 45*t + 5*t - 9*t.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 6*q + 0*q)*(42*q + 57*q - 15*q)*(-15 - 16 + 7) to a*q + d*q**2 + x and give d.\nAnswer: 4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 11. Let g = 203 - 190. Let y = f - g. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3886 = -8*z - 3718. Calculate the least common multiple of z and 1710.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from estesuuffseccfc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**2 - 2*f - 35. Let j be z(-4). What is the highest common divisor of j and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 354171313 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 177\/9 - (-2)\/6. Let h be (-2 - 0) + (8 - (6 + -2)). What is the highest common factor of c and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b - 9. Let w(n) = n**3 + n**2 + 2*n + 1. Let a be w(-2). Is s(a) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (1 + 6) - 1 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3917 - -4157. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12311 (base 4) in base 13?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/15 + 23242\/6. Suppose 2*w = 4*w - l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*a - 4*v, -v = -2*v + 3. Let s(q) = q**2 - 7*q - 24. What is the lowest common multiple of a and s(10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*l - 94*l = 8585 + 10693 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-95)\/25 - -4). Suppose -5*d + 4*o + 216 = 0, -2*d - 5*o = -56 - 4. What is the highest common factor of t and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 10 + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329\/835 - 1\/167. Which is the closest to o? (a) 3 (b) -3 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999 = -3*h + 6*g - 1053, 5*g - 48 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 556, 823, 1074, 1303, 1504, 1671?\n\"Answer: -b**3 + b**2 + 281*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 bigger than -2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.5 (b) 0.16 (c) 138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/560 + i**6\/96 + 7*i**5\/480 - i**4\/48 - i**3\/12 - 14*i**2 + 4. Let l(h) = 0. Calculate h.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3101 = -3*c, -2*q - c + 880 = -2231. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 + 5*d**4\/12 + 4*d**3\/3 - 2*d**2. Let k be i(-6). Let j = -12 + k. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 370 = -3*i, 8*i + 915 = 5*q + 3*i. Suppose b - 95 = q. Let t = b - 181. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -18681370?\nAnswer: 1\/18681370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 1, l: 2}. What is prob of sequence lgz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -21976.\nAnswer: -21979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 381982 divided by 6\nAnswer: 190991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Suppose i*f - 14 = 10. What is the derivative of -5*t**4 - 1 - f*t + 8*t wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27376, -54864, -82352, -109840, -137328?\n\"Answer: -27488*m + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -781719, -781587, -781465, -781359, -781275?\nAnswer: -781219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -3\/280*y**7 + 0*y + 1 - 1\/4*y**4 - 1\/1344*y**8 + 190*y**2 - 11\/60*y**5 - 1\/16*y**6 + 0*y**3. Find x, given that b(x) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*894.4\nAnswer: -89.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vnjrnyv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r**5\/7 + 22922*r**4\/7 - 413654*r**3\/7 - 487826*r**2\/7 + 2706288*r\/7 - 518472\/7 = 0. What is r?\nAnswer: -3, 1\/5, 2, 19, 2274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, -1, -3, -6, -18 in decreasing order.\nAnswer: -1, -3, -6, -18, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j**2 - 5*j**2 + 4*j**2)*(440 + 22 - 3381 - 250 - 1298) to the form f + t*j + y*j**2 and give y.\nAnswer: 49137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46703 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3490324um in kilometers?\nAnswer: 0.0000000003490324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(30)\/sqrt(6)) - (-4 + sqrt(50))**2.\nAnswer: -66 + 41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11885793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:11 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose h = g - 6*g + 30. What is the derivative of 0 - 2 - g*c + 0 + 2*c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/((-9)\/36). Suppose 2*k = 5*l + m*k - 20, -10 = -2*k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0131 + -0.9869. Let g = 109 - 100. What is the closest to v in 0.4, 4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 0, -j - d - 120003 = -6*j. What is j rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307\/5 + -61. Let l = -229\/35 - -43\/7. Which is the nearest to l? (a) -4 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 2, v: 8, s: 7, t: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 222*a**2 + 184*a - 8183. Determine q(-221).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-78)\/14 - (-6)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s**2 + 117*s - 5*s**3 + 60*s**4 - 134*s**2 - 10 - 5*s + 23*s = 0. Calculate s.\nAnswer: -2, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by -35.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/9, 4, 7 in decreasing order.\nAnswer: 7, 4, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l**2 + 52938652*l - 907494575.\nAnswer: -12*l + 52938652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.0000078 + 24. What is l rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7255, -7238, -7209, -7168?\nAnswer: -7115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -55, -87, -119, -151, -183?\n\"Answer: -32*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-117875)\/(-4375) + -27)*10\/24\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14985*j**3 + j**2 - 5614*j wrt j.\nAnswer: -89910*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54460, 217807, 490054, 871201, 1361248, 1960195, 2668042?\nAnswer: 3484789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - (-10)\/4. Let i(g) = -g**3 - 9*g**2 - 7*g + 11. Let l be i(-8). Factor -2*m**2 - 5*m**l + m**2 + 4*m**3 - m**h - m.\nAnswer: -m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134617, -269358, -404099?\nAnswer: -538840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8714 + 8796. Which is bigger: i or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*x + x + 5*v, 0 = -x + 2*v + 10. Calculate the least common multiple of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*d = -93, -3*d + 18 = 4*y + 170. Let s = -22 - y. Suppose c - b = 3, 4*c - s = c + 5*b. Solve c = w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 11*t**2 - 10*t + 4. Let g(p) = -5*p - 20. Let x be g(-6). Give h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 58*r - 2. Let v(w) = -6*w**2. Give g(v(j)).\nAnswer: -348*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101001111000011 + -10110011?\nAnswer: 1100101001100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(11*x**3 + 15*x**3 + 10*x**3) + (-136 + 136 - 16*x)*(-3 + 3 + 2*x**2).\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20889.5+-863\nAnswer: 20026.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 360427*l + 14417099. What is t(-40)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x - 4 + 3\/2*x**2. Let a(u) = 7*u + 3 - 3. Calculate 2*a(c) - 5*h(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3.6, 2\/359, 1\/29, 5?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/11 or -18\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79013, -315590, -709885, -1261898?\nAnswer: -1971629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227cb (base 15) in base 7?\nAnswer: 16561601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 3, o: 6}. What is prob of sequence of?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i + 6. Let u(d) = -34*d - 31. Let o(a) = -11*l(a) - 2*u(a). Let q(t) = 4*t + 2. Give 2*o(z) + 5*q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -198 or -197?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by -155\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*l**3 + 28*l**2 + 25*l**3 + 38*l**3 wrt l.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 5*m - 3*m - 3*m - 2*m. Let j(i) = -611*i. Give j(n(q)).\nAnswer: -1222*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a + 12 = 40*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 2*w**3 + 0*w**4 + 0*w + 2*w + w**4 to the form s*w**3 + b + u*w**4 + g*w**2 + q*w and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 2082.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*u - 35*u + 16*u)*(-3*u**2 - 2*u**3 + 3*u**2).\nAnswer: 82*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**3 + 3*o**2 + 5*o + 4. Let f be d(-2). Suppose -s - h - 2*h = -49, 2*h - 246 = -4*s. Let c = s + f. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmommoobgogooggobgo. Give prob of picking 2 m and 1 g.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 63529 and 1.\nAnswer: 63530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 31*g - 10. Is 14 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 21 = -0. Let l(t) = -i - 7 + 1 - 3*t - 1. Let d be l(-6). Calculate the highest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, y: 3}. What is prob of picking 2 m?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1287*l**3 - 1272*l**3 + 3*l**2 - 2 + 0 + l**4 as z*l + v*l**3 + w + f*l**2 + m*l**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3\/8 (c) 4 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from xxqxeewqxqweeeeenw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462602.\nAnswer: 2, 7, 173, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - r**3 - 2*r**4 + (r**3 - r**3 - r**3)*(-r - 2*r + 2*r) - 33*r**3 + 10*r**4 + 33*r**3 to c*r + l*r**2 + q*r**4 + y + i*r**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 5*u**2 + 5*u + 4. Let o be x(-4). Let b = -2 - o. Let m = b - -1. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5980.0024015 - -5980. What is n rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 9*p + p + 0*p - 2*p + 3*p + (3 - 3 - 2*p)*(4 - 3 - 2) + 2*p - p - 2*p)*(-25 + 25 + 8*p) as v + a*p + l*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -17*j**2 + 15*j - 17. Let v(u) = 2*u + 1. Let w be v(-7). Let q(y) = -8*y**2 + 7*y - 8. Give w*q(l) + 6*m(l).\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32710 - 2285 = 25*y. Let w = 13399\/11 - y. Which is the third smallest value? (a) -5 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**8\/26880 + o**7\/10080 + o**6\/2880 - o**5\/12 + 3*o**2. Let l(n) be the third derivative of m(n). What is j in l(j) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/9)\/(-1) + (-26)\/(-24). Let 3\/4 - 3\/2*c + n*c**2 = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 730?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 243051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-278)\/70 + 2 + (-8)\/5 and -1 - ((-138)\/14 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1103*d**3 + 1231*d**2 + 1129*d**3 + 4471*d**2.\nAnswer: 26*d**3 + 5702*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-12))\/(2\/18). Let x be (-2)\/1 + o - -29. Suppose 0*j = -5*j + x. Solve 2 = -4*u + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 - 24*q**4 + 18*q**3 + 24*q**2 - 21*q.\nAnswer: 3*q*(q - 7)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5))**(-29)\/(g*g**(-14\/9)*g*(g*g**(2\/27))\/g*g) assuming g is positive.\nAnswer: g**(578\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 - -310 - (17 - -48)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.019 + -1.541. Let d = f - -0.06. Let b = d - -1. Round b to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6742 - 447 = -91*q. Let j = -342 + 499. Calculate the remainder when j is divided by q.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1614 - 1612. Solve 3*q + 5*l - 14 = 0, a*q + 22 = l + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-102)\/(-34) - (-4)\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 37*q. Let i be m(1). Suppose 0 = -3*p - i + 151. Let n = 115\/3 - p. Which is the second smallest value? (a) -4 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {w: 3, h: 1, a: 3, c: 6, s: 5}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -2, 195, -5, -4 in decreasing order.\nAnswer: 195, -2, -4, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 1, -4167, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 16*a - 8. Let s be ((-2)\/a*0)\/(3 - 2). Which is smaller: -6\/67 or s?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 + 9*i**2 + 2*i. Let v be k(0). Suppose -4 + v = 2*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/3 + 27277*b\/3 = 0.\nAnswer: -27277, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 0, 0 = -h - 3*h - 4*z + 3836. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:20 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5071 + 1949 = 18*l. List the prime factors of l.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*z + 67*z**3 + 7*z - 48*z**3 wrt z.\nAnswer: 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 18 = -0*r. Let p(j) = -4*j + j + 6 - j + 3*j. Determine p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 316541 + 365?\nAnswer: 316906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51899 + 299823 = 6288*x - 138742 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 31 = -u, -3*u = -3*v + 57. Let q(g) = -g**2 + 8*g - 3. Calculate the remainder when q(5) is divided by 2\/(-4)*-6 + (u - -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-3 - (sqrt(19) + sqrt(19)*-3 + -2))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 39*x - 178. Solve -4*u + 17 = -x*l, -7*u + 11 = l - 3*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 940, 1878, 2816, 3754, 4692?\nAnswer: 5630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1100.18*-27.91.\nAnswer: -30706.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 7 = -4*s, -s = -32*q + 34*q - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -114. Suppose -v + 6*v = 0, s*i - v - 200 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19037898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/16, 15516, -2?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96.8 + -1.2. Let d = -160 - j. Let g = 55.9 + d. Round g to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.02 and 102.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 225*d + 114*d + 10 + 114*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o - 123. Let f(n) = -2*n - 41. Let y(j) = 7*f(j) - 2*u(j). Let d(i) = -i - 27. Let s(m) = 8*d(m) - 5*y(m). List the prime factors of s(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*u)*(2*u - 5*u + 0*u) + 0*u**2 - 2*u**2 + 3*u**2 + u**2 + 0*u + 0*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + p = -10, 3*o - 30 = 7*o + 565*p - 562*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 32*s**2 - 5*s. Let y(x) = 48*x**2 - 8*x. Let k(c) = -8*l(c) + 5*y(c). Let f(z) = 1115935 - 1115935 - z. What is f(k(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(2 - 2 - 2*o**4) - 7*o**4 + 77*o**2 - 77*o**2 + (0*o + 2*o**3 + 0*o)*(o + 0*o + o) + 10*o**4 - 2*o**4 - o**4 - 2*o**4 + 3*o**4 - 2*o**4.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1601 + -4213. Let j = l + 4791. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*b - 28. Let u be (12\/16)\/(1\/24). Let l(z) = -z + 2. Let w be l(-2). Solve 5*f = w*n + u, -b*n + n - 2*f - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631 plus 1108881447?\nAnswer: 1108880816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26645528 or -26645530?\nAnswer: -26645528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5 - 6*t + 4*t + 4*t. Let x(g) = g**3 - 8*g**2 + 2*g - 5. Let v be x(8). Does 9 divide i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*3\/6*2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 plus 1.1?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1734, 3542, 5438, 7416, 9470, 11594?\nAnswer: 13782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-5)*9 - (-6 + 10 + 1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (2\/2 - 2). Let c = 15 - 16. Let l = c - n. Which is greater: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 4869714?\nAnswer: 4869714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1220*q**2 - 24*q + 24*q - 50*q**2 to the form h*q**2 + i*q + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270907*o*w**4 - 30074*o*w - 20*o + 413*w**2 - 39*w wrt w.\nAnswer: 3250884*o*w**2 + 826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaa. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z - 221 = -45*z + 67 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 15*o. Let t(w) = -225*w**2 + 114*w**2 + 112*w**2 + 1 + 0. Calculate t(d(j)).\nAnswer: 225*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 8*s + 5. Let w(f) = -f**3 - 5*f**2 - 18*f + 11. Give 9*u(g) - 4*w(g).\nAnswer: 4*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 336 - 1686\/5. Sort k, 1\/10, -3, 0.2 in decreasing order.\nAnswer: 0.2, 1\/10, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -3\/8, 6615\/23 in increasing order.\nAnswer: -4, -2, -3\/8, 6615\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -73286251+157197\nAnswer: -73129054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**2*y**3 + 2*c**2*y**2 + 9*c**2 + 2*c*y + 8*y**6 wrt y?\nAnswer: -54*c**2 + 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + 4 = 0, 5*p - 17 = -c. What is the derivative of -646*a - 41*a**2 + 646*a + c wrt a?\nAnswer: -82*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 1, h: 1, p: 3, z: 1, s: 8}. What is prob of picking 1 f, 1 s, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198854 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*k = -4*d + 83*k + 49, 2*k - 14 = -6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -502923\/40 - -12571. Find the common denominator of s and 32.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(2600))\/((5*(sqrt(16) - sqrt(256)))\/sqrt(8)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/10*2). Solve m + 4 = k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.415576 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - a**3 + (4*a**2 - 3*a**2 - 3*a**2)*(-16*a + 7*a - 23*a) - 3*a + 2*a**3 + 3*a to q + x*a**3 + u*a**2 + r*a and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2299189\/90 - 25546. Let d = 4\/9 - j. Which is the second smallest value? (a) d (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75171 + 26.\nAnswer: 25.24829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/25*20\/(-8). Solve 12 = w*s + 3*u, 4*u - 20 = -0*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*z + 82 = 0, h + 5*z - 45 = -17. Let n be (h\/(-64))\/((-10)\/(-8) - 2). Suppose 6 = 2*t - p, 1 - 4 = t + p. Is n greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -56. Solve 4*w - 23 + 7 = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3298\/9 - -36989\/99. Which is greater: v or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-1 - (-8 - -9)). Let u(q) = q + 3. Let b(r) = 3*r + 13. Give x*b(g) - 18*u(g).\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 178*z**7\/7 - 4*z**6\/3 - 232*z**3\/3 + 3455. Find the third derivative of t(y) wrt y.\nAnswer: 21360*y**3 - 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/14160 and -41\/40908240?\nAnswer: 40908240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16170 and 836430?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -8 - -6) + (1 - 1). Solve -f*s = -u - 0*u - 18, -u = 4*s - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 187688, 187691, 187694, 187697?\n\"Answer: 3*w + 187685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7622 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -5, 2\/15, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 93843\nAnswer: 1\/10427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 234668 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24149?\nAnswer: 19, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10900\/175 + -62)*14\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -762*s**3 + 10669*s**2 - 20*s + 91. Determine x(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238 by 238.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*l - 80, 16 = -3*l + 4*q - 46 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 2*o**2 + 2*o + 3. Let f = -5 - -3. Calculate the remainder when 2\/f + (14 - 4) is divided by i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444, -447, -452, -459, -468?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 564168091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -147.56174 and 664759.\nAnswer: 664611.43826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i**2 + 210*i + 3. Let r(u) = 12*u - 394. Let x be r(34). Calculate the remainder when 17*(3 + 2*-1) is divided by q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 1038*z - 1038*z = -2074*z + 28, -4*z - 30 = -2*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/15714 and -43\/101268?\nAnswer: 911412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/1079?\nAnswer: -7\/1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/359 + -736\/3231. Let y = -1.92 - 0.08. Do o and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**7\/42 - n**6\/24 + n**5\/4 + 5*n**4\/24 - 5*n**3\/3 + 3*n**2. Factor s(a).\nAnswer: -5*(a - 1)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2841, 2883, 2975, 3135, 3381, 3731?\n\"Answer: 3*u**3 + 7*u**2 + 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 1, 8, -29, 4 in decreasing order.\nAnswer: 8, 4, 1, -29, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1758.3 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33441, 38326, 43211, 48096?\n\"Answer: 4885*s + 28556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.387*69.\nAnswer: -26.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -10.1\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.482474073 rounded to 3 decimal places?\nAnswer: -0.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(6*h - 59*h + 25*h) + 4*h - 2*h - h + (h - 1 + 1)*(-1 + 1 - 2) + 1 - 2*h - 1 + 2 - 2 + 2*h - 4*h - 5*h + h in the form v + l*h and give l.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2 + 51*u**2 - 123*u**2 - 1 + u. Let l be p(1). Let o = l + 1401\/20. Calculate the common denominator of -69\/2 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-47 - -109) - 1\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 702\/7 - 100. Let i = -40 - -198\/5. Which is the closest to 1\/3? (a) i (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 14. Let w(l) be the third derivative of l**6\/30 - l**5\/15 + l**4\/8 - l**2. Calculate the remainder when w(2) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -52. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/9410095 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.9 + 32.7. Let h = o + 2. Which is smaller: -0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 16*s**2 + 16*s + 17. Let i be d(-15). Suppose -6*m = -i*m - r - 161, -5*m - 5*r = -195. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/3 - 63937*z\/3 + 3189350 = 0?\nAnswer: 150, 63787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-5)\/(20\/24). Let p be ((-9)\/s)\/(-1*1\/9). Let i(c) = c**3 + 9*c**2 - 3*c + 9. What are the prime factors of i(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/11 - (690\/(-55))\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*j - 282*j = 2784 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 8 - 6*f + 7)*(f - 2*f + 2*f) - 3*f**2 - 33*f + 33*f.\nAnswer: -10*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/6 - c**2\/2 - 2*c. Let w be n(1). Let i be 1\/3*w\/(-6). Are i and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253793*d**2*l**3*t - 30*d**2*l**2*t*y + 224622*d*l**3*t*y + 4*d*l*t + 2*l**3*t + 2*l**2*y wrt d?\nAnswer: -507586*l**3*t - 60*l**2*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -299732 and -299732 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1917*q - 7384*q + 3711*q + 107116 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/9)\/((-1)\/9). What is the common denominator of (-278)\/18*(-5)\/c and 107\/20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.37 + -8.370001226. Round o to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257.65 - -257.45. Which is the nearest to q? (a) -4 (b) 5 (c) -64 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7)*u)**(26\/3)*u*u*u\/u**(-4)*u**(-2\/11))\/((u\/(u*u\/u**(-2\/5)))**(-45)*(u**(-2\/5)\/u)**(-15)) assuming u is positive.\nAnswer: u**(-16399\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -849 - -1202. Let h = d + -210. Suppose -x - h = -3*r, 2*x = 3*x + 2. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 265594, 268125, 270656, 273187, 275718?\n\"Answer: 2531*l + 263063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 9}. What is prob of sequence nmnn?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-6)*6\/2*262\/1048?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-207)\/(-81)*(-96)\/(-128).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-105)\/(-9) - 90\/15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Suppose 0 = -p*o - 2*o + 50. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6)*(3*i - i - 3*i)*(-1 - 4 + 0)*(12 - 2 - 1).\nAnswer: 135*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 5.4, 0, 42?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -8 + 16\/4. Suppose -4*p - 1 = v - 2, 5*p - x*v = -15. Calculate the smallest common multiple of ((-18)\/27)\/(p\/6) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0 (b) 0.4 (c) 0.13 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(-20\/3)))\/(h*h**(3\/11)))\/(h**(-34))**39 assuming h is positive.\nAnswer: h**(43529\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from {x: 2, y: 8}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 0.2, -3.1, 3\/7.\nAnswer: -3.1, -8\/7, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41477230 rounded to the nearest 10000?\nAnswer: -41480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1672692234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 135 (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 894114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 + 7*p**4\/24 + p**3\/6 + 5*p**2. Calculate d(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 44*m**2 + 43*m + 3. Let j be c(-43). What is the third derivative of 7373*x**3 + 25*x**5 - j*x**4 - 5*x**2 - 7373*x**3 - 17 wrt x?\nAnswer: 1500*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (399\/12)\/((-1)\/(-4)). Suppose z = b - 3*n, -3*n = b - 2*n - 117. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(478*m**2 + 158*m**2 + 262*m**2) to the form d*m + p*m**2 + z and give p.\nAnswer: 3592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*m = -83*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*o - 1358 = -306*o + 1384 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -4 + -1 + -97 + 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2, -9, 5 in decreasing order.\nAnswer: 5, 2\/9, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = 3*p - 23*p. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = 72. Find the common denominator of 273\/q - (-2)\/4 and (-1 - -54)\/(1 + -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujsu when four letters picked without replacement from {o: 1, s: 6, m: 2, u: 3, j: 1}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 670.777 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 104544141?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 26. Let c = -4 + 8. Suppose c*z - 4*p - 228 = 0, 0*z - 2*z - 4*p = -114. What is the greatest common factor of z and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(65))\/(-2*sqrt(5)*6).\nAnswer: 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 25*h - 396. Solve -4*x = -10*x - h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*i**3 + 84*i**3 - 225*i**3.\nAnswer: -91*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**3 + 50*o**2 + 147*o - 3. Determine a(-3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 1)\/(7\/(-21)). Let d be (14\/(-21))\/(o\/9). What is the second smallest value in 0.1, d, -2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2051, -62, 4, -4, -8 in increasing order.\nAnswer: -2051, -62, -8, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 68, -2, -34, -76.\nAnswer: -76, -34, -2, 9, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-345)\/(-75) - 2\/(-5). Suppose 4*q = -4*z - 0*z, -t*q - 2*z = -15. What is the second derivative of q*g + 8*g**3 + 0*g - 5*g**3 wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 15.3316.\nAnswer: 45.9948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 6*(0 + sqrt(117)))**2 - (-1*sqrt(117) + 2 + -3))*-2 + 0 + 0.\nAnswer: -8444 + 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**5 - 34*r**4 - 42*r**3 + 296*r**2 - 315*r + 98 = 0.\nAnswer: -7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2890058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2\/15*p**4 + 0 + 18*p - 314\/15*p**2 + 14\/5*p**3 = 0.\nAnswer: -27, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 598\/34967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, f: 4, q: 3, k: 4}. Give prob of sequence zzf.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120285 - 12717*y - 843\/5*y**2 - 3\/5*y**3.\nAnswer: -3*(y + 11)*(y + 135)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 44 = 3*u, -2*u = 3*h - 0*u - 111. Let q = 5 + -2. Suppose -3*p + 18 = -q. Calculate the greatest common factor of p and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 >= 2005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1025*h - 575. Let t be u(-17). Round t to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20321*b - 2554 wrt b?\nAnswer: -20321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y - 2. Calculate g(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 366.95325 from -30923.\nAnswer: -31289.95325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*q - 1778 = -14045 + 1977 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -1 - (3 - (8 + -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 1340 = -92*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 - 224*f + 12544 = 0. Calculate f.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370040, -370051, -370062, -370073, -370084, -370095?\nAnswer: -370106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 10*b + 6. Let k be z(6). Let u = -46 - -49. What is the highest common divisor of k and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/8 - g**3\/3 + 3*g**2 - 55. Suppose -4*i = -3*y + 26, -y + 7 + 0 = -i. What is h(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177756 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156832 = -150*c - 154282 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 585*r**2 - 2832*r - 3420.\nAnswer: -3*(r - 190)*(r - 6)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**4 + o**4 + 4*o**4 - 3*o**4 + 0*o**4 + (-16*o - 20*o + 31*o)*(-3*o**3 + 5*o**2 - 5*o**2))*(1 + 3 - 3).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 8*m + 9. Suppose -2*j - 2 + 14 = 0. Let d be q(j). Let k be 3\/(d + 15\/6). Let f(c) = c**3 + 6*c**2 + c + 1. Determine f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*i - 166*i + 3*i**2 - 5 + 10 - 7 - 94*i as t + d*i**2 + z*i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10544, -21621, -33218, -45329, -57948, -71069, -84686?\n\"Answer: q**3 - 266*q**2 - 10286*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, q: 2, r: 4}. Give prob of sequence qr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185153 is divided by 4996.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 192083168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -7.38 (c) 2\/25 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*s = 5883, 6*w + 5*s = 7*w - 1155. What are the prime factors of w?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 18*p + 4. Let j(g) = -3*g - 3. Let i be j(3). Let h = i + 24. Calculate the greatest common divisor of p and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 61. Let i(b) = 43*b**2 - 13*b - 23. Is i(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 2*v**2 + 2*v - 2. Let h be z(-2). Suppose 0 = h*s - 3*s - 56. Suppose 0 = s*n - 16*n + 168. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9604354 and 1.9.\nAnswer: 18248272.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/3)\/u)**(-22)*u**(1\/4)\/(u*u**(-1\/2)))**(14\/5))**28 assuming u is positive.\nAnswer: u**(42826\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 6*h + 8. Let b be i(-4). Solve b = -5*g + 3*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 5*l + 3. Let g(o) be the first derivative of -2*o**3 + 8*o**2 - 10*o - 109. Calculate 2*g(u) + 7*j(u).\nAnswer: 2*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2878397 divided by 4\nAnswer: -2878397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 5 + -13 - (1 - (-1 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 32 - 30 + 7*p)*(-48*p**2 - 75*p**2 - 26*p**2).\nAnswer: -745*p**3 - 298*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -1, 5 in ascending order.\nAnswer: -7, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -5, -37.9747, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 0.08, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.08, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 34 = 19*w. Let x be 1\/4 + 26\/(-8). Let d(g) = -g**3 - 4*g**2 - 4*g - 1. Let k be d(x). Solve -9 - w = k*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from etee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 2*t**3 - 2*t**3 + (-t + 2*t - 3*t)*(-26*t**2 + 13*t**2 + 48*t**2) to f + k*t**3 + o*t**2 + j*t and give k.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89 - 301*p**4 - 208*p**4 - 1019*p**4 - 804*p + 815*p wrt p?\nAnswer: -18336*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1337364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 15*x + 2779. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240371 is divided by 80?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*f**2*t**2 + 4*f**2*t + 106*f**2 - 5*t**2 - 102*t - 25 wrt f.\nAnswer: 136*f*t**2 + 8*f*t + 212*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (2 - 1\/1). Suppose -9 = -w - k*w. Let n = -2.01 - -0.01. Which is the closest to 1? (a) n (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - y + 6*y + 10, -2*w - y = -13. Suppose -3 + 13 = w*b. Let q be b\/3*18\/4. Solve 0*o - 4*i - 16 = o, 2*o - 23 = q*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4993785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -507 - 10?\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2363.346 micrometers?\nAnswer: 0.2363346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*r + 2 = -188*r - 2*f, -5*r + 13*r + f = 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + -5 + (-50 - (-6 - 3 - 15)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 179*v**3 - 247*v**2 + 3*v - 2. Let t(s) = 2*s**3 - 3*s**2 + s - 1. Let g(w) = -m(w) + 3*t(w). Find the third derivative of g(i) wrt i.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 1, 26, 7, 0 in increasing order.\nAnswer: -11, 0, 1, 5, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1321 + 1295. Put n, -3, 5, 3 in decreasing order.\nAnswer: 5, 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59.5 - 75. Let u = d - -92.5. Let a = 85.9 - u. Round a to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4536124 and 40.\nAnswer: 45361240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*k**3 - 66*k**2 - 15364 wrt k.\nAnswer: -105*k**2 - 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:42 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.8 to the nearest integer.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62945591 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(16\/4)*3*(-12)\/(-306)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2126 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-6))\/(1\/(-3)). Let d = 49 + -45. Suppose -d*z = -m - 334, i*m - 3*m = -z + 81. What is the remainder when z is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1046, -1048, -1052, -1058?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/16 - 0) + 1. Suppose y = -4*p - 3, -6 = 2*y - 30*p + 32*p. Which is the nearest to y? (a) -10 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4, d = -2*z - 29 + 405. Let n(b) = b**3 - 4*b**2 - 7*b - 3. Calculate the remainder when z is divided by n(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Let l be b(7). Suppose g = 3*g - l. Find the third derivative of -2*v**2 + 5*v**3 - 2*v**g - 5*v**3 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*s + 333*s - 6391 = 35*s + 73*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -137*d + 177*d - 120. Solve -3*a + 4*j = 10 - 22, -2*a + 8 = -d*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 437, 871, 1715, 3107, 5185?\nAnswer: 8087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j - 4. Let a(z) = -1. Let g(l) = -l**2 - 7*l + 11. Let o(u) = 4*a(u) + g(u). Let y be o(-5). Let r(m) = -26*m - 11. Calculate y*c(w) - 6*r(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Suppose -2*a - 10 = -3*n + n, z = -n + 4*a + 14. Suppose -n*l = 4*b - 206, -57 = -l - 5*b + 61. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(612)*5*-2 + sqrt(612))*6)**2*-4.\nAnswer: -178459200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*f = m - 12, 15 = 5*m - f. Suppose 2*z + 4 = -2*z, m*t = z + 7. What is the tens digit of 2\/t*(-1 + 82)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 19 + 56. Let l = w + -53. Let s = 491 - l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 886030 = -26*t + 1955804. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41000 and 39500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -17 (c) 26268\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -0.13 (c) 583\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t + 8. What is g(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-10)\/6)*18\/(-243).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((56\/(-35))\/(-8))\/(8\/24)*(-10)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4\/c)**29*c**(-1\/12)*c**(-14)*c)**(-2\/19) assuming c is positive.\nAnswer: c**(-887\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**3 - 3*j**2 - 6. Let v(m) = 8*m**3 + 4*m**2 + 7. Determine 5*b(r) + 4*v(r).\nAnswer: -3*r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 - 0.7. Let h = -40.4 - -55. Let l = h - 14.4. Which is the third biggest value? (a) z (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 175?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 87, -369634 in decreasing order.\nAnswer: 87, 3, -369634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.058, -0.3 in descending order.\nAnswer: -0.058, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/13)\/x)\/x*x*x**5)**(-15\/2) assuming x is positive.\nAnswer: x**(-825\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 10, 4*n + 5 + 12 = -5*f. Suppose -k - 2*b = -b + 4, 0 = n*k - 5*b + 15. Let l be -296 + 1 + k\/(-5). What is l rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21076, -20778, -20252, -19492, -18492, -17246, -15748?\nAnswer: -13992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 2 in descending order.\nAnswer: 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 15 = -4*v, 0 = -4*s + 2*v + 4 + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 2. Let m = z + 4. Suppose -5 = -4*w + p, 5*w + 1 - m = -p. Which is greater: 2\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 106bc3f - -2?\nAnswer: 106bc41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/9918 and -13\/228.\nAnswer: 19836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + (9 - (14 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/336 and 46\/1393.\nAnswer: 66864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15577, -15575, -15573?\n\"Answer: 2*t - 15579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to -19\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*v, 22*f - 19*f = -5*v. Put -1, -2, f in descending order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(9\/(-9))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) -0.05 (b) 1\/9 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111842 is divided by 2850?\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 5*x + 12. Let s be f(8). Let n be -36 + (6 - (-8)\/(-2)). Let v = 46 + n. What is the highest common divisor of v and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 11, 3, 0.3, -76, 1\/7, -306\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17*j**3 + 3*j. Let g(l) = -3*l + 3*l**3 + 3*l**3 + 4*l. Suppose -24*a + 29 = -4*a + 89. Determine a*c(z) + 8*g(z).\nAnswer: -3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*6\/30)\/(3*(-1)\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2433218\/9 + 7295242\/9*q + 13234\/9*q**2 + 2\/3*q**3.\nAnswer: 2*(q + 1103)**2*(3*q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163\/296 + -18555\/15688. Calculate the common denominator of 121\/10 and o.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 133b832?\nAnswer: -133b823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 - -450. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = 33 - 56 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 629*q**3\/7 + 7544*q**2\/7 + 6871*q\/7 - 44\/7.\nAnswer: (q + 1)*(q + 11)*(629*q - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/5)\/(i*((i**(-18)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/75 and 6\/(-500)*((-2512)\/144 - 3)?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**3 + 26*k**2 - 70*k - 279. Determine z(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*f = 10, 0 = -5*b + 2*f - 0*f + 13. Let k(r) = 5*r**2 - 727*r**b - 2 - 225*r**3 - 6. Let l be k(-4). Round l to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(2\/119)\/(y**(-2\/3)\/(y*y\/y**4)) assuming y is positive.\nAnswer: y**(-949\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 22. Let s be y(-17). Solve g + 3*g - 2*a - 10 = 0, 2*g + s*a = 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13327.01649 rounded to the nearest 100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2541\/13 < -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 394 - 0.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 2 - 5 + 7.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -22, 255?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 934? (a) -0.3 (b) -17 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 37*q + 40*q + 457612 = 0, 0 = -3*y - 2*q + 343192. What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(2*r**4 - r**4 - 4*r**4) - 2*r**4 + 6*r**4 - 2*r**4.\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*u + 3427387*o**2 + 5*o - 2162052*u wrt o.\nAnswer: 2*u + 6854774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - a. Let c be (1 + -2)*(-172)\/4. Suppose 2*h - 2*s = 7*h - 20, 3*h - 5*s - c = 0. Let w be (h\/(-12))\/(1\/4). Calculate x(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*28\/42*(-15)\/(-900).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - -88) + -51 + -12.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 149*z - 12. Suppose -i = -5 - 14. Is c(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.378 - 0.578. Which is the nearest to -2? (a) u (b) -2\/17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*w**3 - 8*w**3 - 3*w**3 + (w + 3*w - 2*w)*(5*w + 9*w**2 - 5*w) - 2*w - 14*w**3 + w + 18*w**3 - 2*w**2.\nAnswer: 53*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-23))\/((q*q\/q**(-2\/5))\/q*q))\/(q**(-2\/31))**(-3\/38) assuming q is positive.\nAnswer: q**(63597\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 68413.2 hours in microseconds?\nAnswer: 246287520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33721992, -67443964, -101165936, -134887908?\nAnswer: -168609880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43\/89? (a) 0.3 (b) 3\/4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 + 12\/1 - (9 + -8) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8266, 8267, 8268?\n\"Answer: i + 8265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r - 69 = -22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 20461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22168\/(-6) + (3\/(-9) - -1). Is 1*g*(-9)\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1, 1, -1\/2, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21137 + 295917\/14. What is the fourth smallest value in 19, t, -0.2, -2\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 3*f**2 - 2*f**2 + 7 + 2*f**3 + 2*f**4 - 4 in the form v*f**2 + o*f**4 + z + i*f**3 + h*f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (136051\/(-68))\/((-4)\/16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let n(z) = -7*z + 1. What is -24*m(v) + 3*n(v)?\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 23277*t. Let o(n) = -3*n. Determine o(b(x)).\nAnswer: -69831*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 1893019356?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 + 3*w**2 + 15*w + 2. Let i be f(11). Let x = 696632\/119 - i. Are -1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 + -21. Let f = 139 + z. Sort -0.06, 5, f.\nAnswer: -0.06, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 - (-21)\/(-12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1115, 2320, 3525, 4730?\n\"Answer: 1205*m - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764*-1*5*(-4)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1569 + -730. Suppose 29 = 23*a - 86. Suppose a*s = 6*s - i. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*v + 38 = 7*g - 258*v, -g = v - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 899555983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {d: 1, f: 4, z: 2, a: 2, y: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/714 and -57\/1547.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123 + 49 - 34) + -47 + 7.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548493507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3685158 (base 9) to base 5.\nAnswer: 1003124014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2 - (-19)\/38. Let b(p) be the second derivative of 3\/2*p**2 - j*p + 0 + 1\/20*p**5 - 1\/4*p**4 - 1\/2*p**3. What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.06774 or 0.1?\nAnswer: -1.06774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 46*n**3 + 70*n**2 - 8*n**3 - 111 - 28*n**3 - 44 - 105*n. Let l(t) = -5*t**3 - 35*t**2 + 53*t + 77. Let b(a) = -3*c(a) - 5*l(a). Factor b(i).\nAnswer: -5*(i - 2)*(i + 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -70. Suppose -g*i - 3262 = 4626. Let o = -39 - i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 2*b + 2. Let d(h) = 3*h**2 + 78*h - 209. Let w(k) = 10*c(k) - 5*d(k). Factor w(a).\nAnswer: 5*(a - 71)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*n, m + n = 7 - 1. Let l be -6*(-1)\/(m\/18). Let w = 3221.1 + -3221.2. Is w not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - 0.2. Let q = 1.2 + p. Suppose 3*g + 345 = 333. What is the third biggest value in q, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((-153)\/(-18) - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 - -0.364. Let h = 0.724 - j. What is h rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34223600 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 5 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (608*l - 321*l + 1117*l)*(2 + 0 + 1) as t*l + p and give t.\nAnswer: 4212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 2*r - 11. Let a be s(-4). Suppose 2*f - 148 = -2*q, -a = -4*q + 3. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138aa (base 13) to base 4.\nAnswer: 20330210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*o**3 - 12\/5*o**2 + 0 + 8\/5*o = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 1. Let a be g(2). Let y be 4092\/572 - 2\/13. Put -4, a, y in descending order.\nAnswer: y, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*g**2 - 5786562*g + 5786562*g.\nAnswer: -544*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70050.84 microseconds in minutes?\nAnswer: 0.001167514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/48)\/((-5)\/(-9)))\/((-90)\/5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6803888, -6803884, -6803880, -6803876?\nAnswer: -6803872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l**3 - 20 - 25 + 2*l**2 + 47 + l**4 to the form a*l + g*l**2 + n*l**3 + x + b*l**4 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 23. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 11*x + 29*x - 108 + 0*x. Calculate the remainder when b(4) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 482.6037mm?\nAnswer: 0.0004826037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 0.4. Let q = d - -0.5. Let i = -2.5 - -2. Put q, 5, i in ascending order.\nAnswer: i, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/66, -2\/3, -18.8, 2\/7 in increasing order.\nAnswer: -18.8, -2\/3, -5\/66, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, n: 4}. What is prob of picking 2 z?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 37. Let n(u) = -u**3 - 21*u**2 + 4. Let w be n(y). Solve 0 = -3*l - c - 1, 2*l - w*c - 19 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 + 7*z**2 + 5*z**2.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221\/(-34) + 3 + 2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*f - f, 0 = -u + 4*f + 14. Which is the closest to -0.014? (a) u (b) -1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = -15*c + 25 + 65. Sort 0.0654, -0.4, c in ascending order.\nAnswer: -0.4, 0.0654, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2528 is divided by 362?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 902884883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -788 - -757. Sort -4, p, 1 in descending order.\nAnswer: 1, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*k**3 + 3\/4*k - 3\/2*k**2 + 0.\nAnswer: 3*k*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20)*3*35\/28.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 4, -18856, 5 in decreasing order.\nAnswer: 6, 5, 4, -2, -18856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109.24*-4017.\nAnswer: 438817.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaisiasiaesati. Give prob of sequence aa.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:32 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 6*s**2 + 0 - s**3 - 2 + 0*s. Let f be q(3). Calculate the greatest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000533084744 rounded to 7 dps?\nAnswer: 0.0000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2330*x - 22734 = 2321*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77.5 + -78. Put 2, -12, d, 1\/6 in increasing order.\nAnswer: -12, d, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h + 0 - 2 + h + 2 + (-1 + 4 - 1)*(4*h - 4*h - 2*h))*(-4*h**2 - h**2 + 0*h**2).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, q: 4}. Give prob of picking 1 q and 1 s.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -367?\nAnswer: -1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*33\/12*-1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110.710888 or -1\/3?\nAnswer: -110.710888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 14 - 56 = 0. Find the second derivative of -8*s**x - 9*s**5 + 22*s**5 - 26*s wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 5:26 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6138*y**2 - 3022*y**2 - 9*y - 9 - 3122*y**2.\nAnswer: -6*y**2 - 9*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -723a - 404?\nAnswer: -7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + y + 1. Let x be v(-1). Suppose -4*o + 5 = o. Let m be 2*(o + -2) - -6. Solve -j + m*l = 17, -x*j - l - 2 = -4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1647.2 - 1647. Let h = -45\/32 - 3\/32. Which is the nearest to h? (a) k (b) -5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 99\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 7. Let n = 71 + -61. Let g be t(n). Factor -p**4 - 32*p**3 + 18*p**g + 13*p**3.\nAnswer: -p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536356 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = o + 11 + 1, 2*o + 29 = 5*g. Let y(h) = 51*h**2 - 2*h + 4. Let u be y(o). Is 211 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 0*w**2 + 3*w**2 - 2*w**2 + w**2 - 6*w**3.\nAnswer: -6*w**3 + 2*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*y = -0*p, -24 = -4*p - 4*y. Suppose -4*c + 11 = k, -3*c = -p*k - 0*k - 11. Suppose -5 = -c*w + 22. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.144 + 2.856. Let n be ((-66)\/18)\/((-1)\/(-12)). Let x = -134\/3 - n. Which is the third smallest value? (a) x (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (468\/20)\/(-9) - (-2)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 42*x + 136.\nAnswer: 2*(x + 4)*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-12)*(-27)\/(-6). Suppose 3 = g + v. Let d = 5 + g. Solve -3*q = -i + 5, 4*q + i + d = -0*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4, 5*q + g - 55 = -4*g. Suppose -4*x + 1 = q. Let c be (-20 - -2) + x\/(-1). What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/2 + 14\/7. Let l = 16.62 + 0.38. Let r = l - 16.7. Which is the third biggest value? (a) r (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k**3 - 217*k**3 - 124*k**3 + 72*k**3 - 131*k**3.\nAnswer: -329*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-722)\/(-1805))\/((-15)\/100*(-11)\/(-3))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 74.7 (b) -74\/5 (c) -0.2 (d) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r + 4*s - 106, 507 = 5*r - 3*s. Let g = -69 + r. What is the remainder when g is divided by (-3)\/(-2) - (-7)\/(28\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*v + 6*v**3 + 2*v**2 + 2*v**4 - 4*v + 2*v in the form g*v + z*v**3 + h*v**4 + x*v**2 + m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = -5*d + 4*r, 3*d + 4*r = 187 + 61. Let w = d + -15. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/7*c**2 - 33\/7*c - 3 + 33\/7*c**3 + 12\/7*c**4 = 0. Calculate c.\nAnswer: -7\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*s + 54*s + 72. Let o(y) = -8*y**2 + 2*y + 18. Let n(c) = -7*c**2 + c + 17. Let f(k) = 7*n(k) - 6*o(k). Calculate f(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1050)*-1 + sqrt(42))\/(sqrt(24)\/sqrt(64)) + ((1*(2 + sqrt(7)))**2 - 1*sqrt(700))).\nAnswer: -66 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8349 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1815)*6)\/(-1*sqrt(180)) + -4)**2.\nAnswer: -88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -216931, -433871, -650813, -867757, -1084703?\n\"Answer: -l**2 - 216937*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x*((((x*x**(-9))\/x)\/x)\/x)\/x)\/(x**12\/x))**50)**23 assuming x is positive.\nAnswer: x**(-21850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 5. Let z = 100.9 + -25. Let o = -76 + z. Which is the smallest value? (a) y (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1645 + 1638. Put 0, v, -55 in descending order.\nAnswer: 0, v, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1250520536 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 342429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*p**2 - 11*p**2 - 2*p**2)*(6 - 16*p + 13*p - 5) to m + s*p + x*p**3 + t*p**2 and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2545, 2550, 2557, 2566, 2577?\nAnswer: 2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 2*x + (-x + 3*x - x)*(-2 - 1 + 4))*(3828*x**2 - 7993*x**2 - 1242*x**2) - 3*x - 2*x**3 + 2*x - x.\nAnswer: -10816*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-84))\/((-299)\/(-1196)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208.7226661 + -31.2772309. Let g = -1358 + 1118. Let q = g - n. What is q rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9 + 24 - w - 7 - 9. Let l(t) = -11749*t**2 - 1. Let j(o) = l(o) + 5*v(o). Let q be j(6). Round q to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-8)\/44) - (-48)\/60*5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*v - 68. Let s be -4 - -6 - (-4)\/8*v. What is the highest common factor of 175 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 94, 207, 364, 565, 810?\n\"Answer: 22*b**2 + 3*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -48. Suppose -494 = -w*q - 137. Let v = 59 - q. Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22.8, 2, -4, 1\/13.\nAnswer: -4, 1\/13, 2, 5, 22.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 34*v + 266. Give q(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose 3*j + 66 = b*l, -l + 18 = -5*j - 24. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)*(13 + 2). Is (-54)\/w + (-4)\/(-10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, b: 3}. What is prob of sequence ddb?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55192.74 weeks to days.\nAnswer: 386349.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4990568 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**4 - 12*p - 2*p**4 - 5*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*g - 16 = 0, -9*l + 3*g = -8*l + 6. What is the lowest common multiple of 246 and l?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11112 (base 3) to base 11\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11210 (base 4) to base 3.\nAnswer: 111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491037941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213807, -1710452, -5772801, -13683714, -26726051, -46182672?\nAnswer: -73336437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23070853 to the power of 1\/2, to the nearest integer?\nAnswer: 4803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 85. Suppose -h = 3*b - 2089, -3*h + i*b = -8143 + 1848. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -78. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.358565 rounded to two decimal places?\nAnswer: 10.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {x: 1, p: 1, o: 2, d: 1, y: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-264)\/110*670\/(-4).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-5))\/(18\/60). Let c(h) = h**3 - 24*h**2 + 3. Let g be c(y). Suppose g*x = -4*r + 259, -8*r + 7*r - 5*x = -86. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 14. Give i(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 12. Let o = j + -9.8. Let w = -365\/7 - -52. Which is the nearest to o? (a) -0.5 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4362792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + l - 1. Let p be 6\/(-9)*3\/(-2). Let o be k(p). Let q(d) = -d**2 + 7*d - 5. List the prime factors of q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -119*u + 114*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25754172971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j)*(-4*j**3 + 3*j**3 + 3*j**3) + (6*j - 19*j - 2*j)*(-2*j**3 + 0*j**3 + 0*j**3).\nAnswer: 34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - 72. Let v(o) = h + 4*o - 3*o - 3*o + 0*o. Does 8 divide v(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/100 and -71\/136300.\nAnswer: 136300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 = 2*b + 2*c, 3*b - 18 = 3*c. Suppose 3*n - 6 = b*n. Suppose n*y = 3*y + 201. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -49. Let m be (-6)\/12 + (3\/y - -2). Let b = 0.1 + 0.6. What is the third smallest value in 0.2, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from evvvvvvvvvvevvvvvvvv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 263. Let l(p) = 2*p - 13*p + 6*p - p + 8*p. Determine z(l(g)).\nAnswer: 2*g - 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500339 is divided by 164053?\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*y - 103 = -26, 0 = y + 5. Let r = 71 + n. Let l(i) = 7*i**2 - 165*i - 164. Calculate the remainder when r is divided by l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115403 - 2?\nAnswer: 115401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1250*n = -1235*n - 121050. What are the prime factors of n?\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g + 62*g = -38. Suppose -14*f = -g*f + 10. What is the third derivative of 32*y**3 + 0 + 232*y**f + 0 - 211*y**2 wrt y?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4729?\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 494*o - 499*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 115 = 2*f + 5*m, -f - 57 = -2*m. What is the common denominator of (2\/f)\/(8\/(-750)) and -2 + 55\/(-14) + -1?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (3 + 0 - 1). Suppose p*o = 4*q + 4, -1 = -4*o - 4*q + 23. Suppose 8*t - t - 21 = 0. Do t and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-1 + 1 + u) + 70 - 130*u + 68*u + 60*u.\nAnswer: -3*u + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 60)*1 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -9. Suppose -m - 2*f = -47, -2*f = 3*m + 3*f - 144. Let r = -37 + m. Which is the second smallest value? (a) w (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149925 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96.796 - -2.096. What is t rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-15))\/((-2)\/10). Let b(n) = n + 7. Let l be b(-12). Sort -4, l, d in decreasing order.\nAnswer: d, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 28*k**3 - 2 + 2 - 35*k**2. Let h(o) = 3918*o**2 - 7919*o**2 - o**3 + 4002*o**2. What is 35*h(x) + i(x)?\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.819 - 0.87. Let n = y + 0.009. Let f = -0.622 - n. What is f rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.38 - 0.02. Let u be 5\/(-90)*6\/74. Let x = -437\/1554 + u. Which is the second smallest value? (a) -2 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5))**(-4) assuming i is positive.\nAnswer: i**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**3 + 2*l - 2. Suppose -2*v = -7*v + 20. Let t(u) be the third derivative of -3*u**6\/40 + u**4\/8 - 2*u**3\/3 - u**2. What is v*t(o) - 7*b(o)?\nAnswer: -o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6214 * -0.1\nAnswer: 621.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11941939 or -11941938?\nAnswer: -11941939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 3*g**2 - 4*g**2 + (0*g - g + 2*g)*(g + 3 - 3) + g**2 - g**2 + 2*g**2 + (-2*g - 2*g + 3*g)*(3*g + 2*g - 4*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397 (base 10) to base 2.\nAnswer: 110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1327361, -18 in descending order.\nAnswer: -2, -18, -1327361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 18 + 467*r**2 + 38 + 42 - 136 + 41 in the form x*r + h + o*r**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -408, -1636, -3682, -6546, -10228, -14728, -20046?\n\"Answer: -409*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141077, 141061, 141045, 141029, 141013?\nAnswer: 140997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/3, 1\/10, -0.1 in decreasing order.\nAnswer: 7, 1\/3, 1\/10, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x + 5*z - 21, 30 = -5*x + 5*z. Put x, -4, 3, 129 in ascending order.\nAnswer: -4, x, 3, 129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:28 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 + 2*i - 1. Let j(h) = -h**2 - 7*h - 6. Let w be j(-3). Let y be -5*w\/15*-3. Suppose -28*q + 30*q + y = 0. Calculate g(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - -2) + 3\/(-5))*15. Let x(o) = 1 + 6*o**2 - 2*o + o - 5*o**2. Let i(c) = -8*c**2 + 4*c - 6. Give u*x(d) + i(d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**2 - 2*l + 2. Determine u(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18472157*g**2 + 10044291*g?\nAnswer: 36944314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and 5601690.\nAnswer: 128838870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 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: Solve -10*u - 13*u = -22*u + 25 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/13)*(y*((y*y\/y**(2\/21))\/y*y)\/y)\/y*(y*y**(-3))**(-8) assuming y is positive.\nAnswer: y**(4846\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -17 (c) -6 (d) -5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 715 + 708 = 1391 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from zrzddh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218 - 219. Let l be (72\/(-60))\/(a*(-6)\/(-20)). Let v(w) = -w**3 + 2*w**2 + 10*w - 9. Give v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/3 + 50*w**3\/3 + 139*w**2 + 688*w\/3 + 320\/3.\nAnswer: (w + 1)**2*(w + 8)*(w + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (736*g**3 + 52263 + 1953*g**3 - 52262)*(5*g**2 - 3*g**2 + 2*g**2).\nAnswer: 10756*g**5 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(50\/996))\/((-8)\/(-20)). Let b = 1088 - l. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -7 + 3 - -17. What is the units digit of i\/24*(-186)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161143 divided by 9479\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48608644*s - 48608599*s + 97217245*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**2 - 7*d + 9. Let c(z) be the third derivative of -1\/12*z**5 - 1\/4*z**4 - 2*z**2 + 0 + 0*z + 4\/3*z**3. Give -7*c(a) + 6*q(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*a = 197 + 383 + 1316 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2}. Give prob of sequence io.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23144411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 20 = 0, -5*w = -2*a - 290. Suppose 3*h + 0*h = -w. Let f = 7 - h. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.881411 to 1 dp.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:40 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) 0.1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n - 1. Let o(s) = 9*s**3 - 1. Does 4 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26*k - 6. Let c(z) = -27*z + 9. Let d(r) = 2*c(r) + 3*x(r). Let v(m) = 6*m**2 + 4. Let b(g) = g**2 + 1. Let a(w) = 4*b(w) - v(w). Determine d(a(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*((6*(sqrt(104) - sqrt(104)*-1))\/(sqrt(648) - (sqrt(648) + sqrt(648)*2)))**2.\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4 = 7*a. Let p be (2 + -1)*(-25 - -1). Let i be ((-2)\/3)\/(p\/9). What is the second biggest value in a, i, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 + 130. Sort -5, h, 3 in increasing order.\nAnswer: h, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 15*x**2 + 5. What are the prime factors of u(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let v(x) = -x - 4. Suppose 6 = 4*k - 5*o + 14, 0 = k - 5*o + 17. Calculate k*f(i) - v(i).\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**20*i*i)\/i*i\/(i**(2\/27)\/i)*(((i\/i**(-8))\/i)\/i)\/i**(2\/7))**(3\/40) assuming i is positive.\nAnswer: i**(2801\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-14)\/15 + -1)\/(48160\/(-1032)) and -97\/84?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66256*x**6 - 39*x**5 - 1791738*x**2 + 3*x?\nAnswer: -7950720*x**3 - 2340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/(8\/(-12)). Let c be (-5)\/r*(-12)\/(-6). Let p = -1031 - -1032. What is the second smallest value in c, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8989, -0.17, 0.68 in ascending order.\nAnswer: -0.17, 0.68, 8989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20559 and 11659.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - (1 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7455 + -7435. Solve 4*q = f, -4*a = -2*q + 3*q + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + m**3 - m**3 + (-4*m - m + 3*m + (-4 + 7 + 4)*(4*m + 3 - 3))*(m**2 - 75*m**2 + 19*m**2 - 134*m**2) as i + x*m + f*m**3 + q*m**2 and give f.\nAnswer: -4916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 11*p - 4. Let g be d(8). Suppose -2 = -2*x - g. Is (57\/x)\/((-2)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/5 - 1348*i\/5 - 3264 = 0.\nAnswer: -12, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 + 8 = 0. Suppose l - g*l = -15. Suppose 2*i - i + 4*h = -19, 5*h = l*i - 30. Is 5\/4 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*h + 366 - h**3 - h**3 - 366 - 88*h**2 wrt h.\nAnswer: -12*h - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4823 + -8\nAnswer: -4831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686972.\nAnswer: 2, 11, 13, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2. Let x be 0 - -1 - (-4 + 2). Let r = 105 - 96. Let f(c) = 9 + 0 - r + x*c. Give h(f(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 59*r + 177. Let v(l) = -17*l - 59. Determine 4*d(c) + 14*v(c).\nAnswer: -2*c - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187596336 a multiple of 5549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -10) + (3 - 2 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s + 2*u - u - 14 = 2, -5*u + 14 - 29 = -2*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + -4 + (-3*sqrt(162))**2 + 3 + -1.\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaanna. Give prob of picking 1 n and 2 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -247\/1597 or -1?\nAnswer: -247\/1597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(171) + sqrt(171))*1 - -5*(sqrt(171) + sqrt(171)*3 + sqrt(171)))\/((sqrt(441) + sqrt(441)*-1*-1)*6).\nAnswer: 25*sqrt(19)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2000971, -4001931, -6002891, -8003851?\n\"Answer: -2000960*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 20*r - 15. Let u be y(12). Let o = u + -55. Does 46 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.563 + 276.437. Let n = w - 281. What is the biggest value in 0.103, -3\/8, n?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-1926)\/4)\/(-3). Let m = -4933 - -5089. Let f = o - m. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4700044840 divided by -5?\nAnswer: -940008968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -54*h + 34*h. Solve -2*d + 1 = h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + 457\/2. Let t = h + -2050\/9. Let y be 11\/(-2)*(-104)\/(-572)*1\/6. Which is the second smallest value? (a) 2 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 46*t - 200. Let g be n(50). Solve g = -357*i + 351*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -26, -28, -40, -68, -118, -196, -308?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29453.47 millilitres in litres?\nAnswer: 29.45347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 6616449943.\nAnswer: 6616449943.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -34439 greater than -34442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**3 + 11*y**3 - 37 + 3*y - 3*y + (3*y**2 - 4*y**2 - y**2)*(0*y - 2*y + 7*y) - y**3 - 3*y**2 + 3*y**2 as r*y + j*y**2 + b + q*y**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -147318.\nAnswer: 17\/73659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2811, -4649, -6487?\n\"Answer: -1838*b - 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3327*b + 2601*b - 12299*b + 2462*b + 2866*b.\nAnswer: -1043*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153723 - -471633. What is s rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 12*p - 5300. Suppose -5*x + 5*d = -2215, -3*x + 6*d - 4*d = -p. What are the prime factors of x?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/83))\/(s*s*s**(-5\/6)) assuming s is positive.\nAnswer: s**(-71\/498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + -5*sqrt(100))\/sqrt(5) + sqrt(45)\/(sqrt(9)*-2) + (sqrt(405) - sqrt(405)*-2)**2.\nAnswer: -19*sqrt(5)\/2 + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -69, -330, -0.2, 0.2, 0.5, -0.1?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 2. Let b be 10 - 23 - (-2 + -1). Let x be a(b). Suppose -3*t + x = -12. Calculate the lowest common multiple of 20 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 divided by 29?\nAnswer: -321\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322 + 13?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 516 divided by 213479\nAnswer: 516\/213479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 3. Determine g(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*o**3 + 53*o**3 + 7*o**3 - 402*o**3.\nAnswer: -607*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 10*m + 225. Let o be m\/50 - (5206\/(-4) - 1). Suppose 324 = -6*c + o. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 6296956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, v: 3}. Give prob of sequence bvvv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -63 + 193. Let p = 4 + 3. Sort -2, p, t.\nAnswer: t, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/7)*b*b**6*b*b**(1\/3)\/b*b**(-2\/11))**16 assuming b is positive.\nAnswer: b**(28544\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 2*x**2 - 7. Let t(k) = 2*k**3 - 29*k**2 - 17*k + 27. Let g be t(15). Let n be f(g). Solve n*s = -s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808419269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -189.\nAnswer: -189, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 228751977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:39 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11473776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(1 - (-1 - -8)). Let p = 140128 + -139984. Calculate the greatest common factor of m and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*g*n**5*x + g*n**4*x**3 + 5*g*n - 2*g*x**2 + 8*x**3 - 2*x wrt n?\nAnswer: 1360*g*n**3*x + 12*g*n**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61183, 244731, 550643, 978919, 1529559, 2202563, 2997931?\n\"Answer: 61182*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 2*h + 4. Suppose 0 = n + 3*t + 2*t - 17, 2*t = 2*n + 2. Let o be k(n). Let x = -4 + o. What is the second biggest value in -3, x, 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l = -20. Let h be (189\/2)\/(l\/(-8)). What is the tens digit of (-2)\/(-8) - h\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/89 and -30\/7.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*c**5 + 3*c**3 + 5*c**2 + 198687*c?\nAnswer: -800*c**3 + 18*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1859313174 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b - 34 = -4*u, 3*u - 20 = -4*b. Factor -39*c**5 - 6 + 8*c**3 + 12*c**4 + 43*c**5 + 2 - u*c**2 - 12*c.\nAnswer: 4*(c - 1)*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -2*v**3\/3 + 5*v. Let l(d) = d**2 - 1. Let q(p) = -5*p**2 + 4. Let j(m) = 4*l(m) + q(m). Give j(s(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 9*v**2 - 9*v + 14. Let k be p(-10). Suppose -a - 2*h - 2*h + 61 = 0, -h - 176 = -k*a. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33037, -132015, -296937, -527803, -824613, -1187367, -1616065?\nAnswer: -2110707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/26)\/(13932\/2106)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(2\/3)*m))*m)\/(m**1\/m))\/(m*m*m*m\/(m*((m*m**(2\/21)*m)\/m)\/m*m)*m**(1\/5)*m)*((m**(-5\/6)\/m)\/m*m**(2\/7))**(-1\/3) assuming m is positive.\nAnswer: m**(37\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9965355 by -5.\nAnswer: 1993071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(288) + 3)*-6)**2 + (2*sqrt(288) + 2 - 1*sqrt(288)*2)**2.\nAnswer: 41472*sqrt(2) + 171076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from ppppppypppyppypypppy.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1438241, 1 in descending order.\nAnswer: 1, -1, -1438241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 2*v - 12 = -11*n - 0, 2*v - 21 = 27*n + 7*v - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-931255137)\/48 - (-9)\/3. Let z = k + 19411362. Let r = 10221 - z. Find the common denominator of r and -29\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 15\/7, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 - 15 + 26*h to the form q*h + g and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*m**3 + 245065*m + 5839674 wrt m.\nAnswer: -57*m**2 + 245065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 4. Let g be v(-7). Let l be 2\/g + (-1595)\/(-121). Suppose 0 = -z + 1 + l. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*k = 243, 11*h + 208 = 15*h - 4*k. Let o(c) = 104*c - 48*c - h*c - 2. Calculate o(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9534028771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 80*m**3 + 255*m**2 - 180*m.\nAnswer: 5*m*(m - 12)*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7965399461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l**2 + 62*l - 62*l + (7602 - 7602 - 93*l**2)*(0 + 2 - 1) to q*l**2 + c + m*l and give q.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175561338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 9*v**2 - 11*v - 7. Let f be z(-10). Suppose -3*n + 8*n = 4*l - 15, -l + 2*n = -f. Solve 0*p = -p + l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*p - 32 = p, 0 = -5970*n + 5971*n - 2*p - 18 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 3731?\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*l - 38. Sort -1, l, 2, -5 in increasing order.\nAnswer: -5, -1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2. Let k(a) = -4*a**2 - 3843*a + 3843*a + 3*a**2. Determine -6*d(o) - k(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-818)\/(-16) - (-4)\/(-3)*3279\/34976.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -107, -0.2, 0.15, -380?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -309 - -4009\/13. Suppose -2*k - 27 = 5*w, -2*k + 6*k - 3*w = 11. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-445)\/(-25) - 3\/(-15). Let d = 109\/6 - h. What is the closest to 0 in -2, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 1 - 1)*(5*c - c - c) + (5*c**2 + 3 - 3)*(2 + 2 + 0).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 481 = 3*g - 501, 2*g - 2*h - 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 646*o - 7. Let y(t) = -144*t. What is y(w(l))?\nAnswer: -93024*l + 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 9*f + 137. What is n(-12)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wkwwskss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(1 - -1). What is the second derivative of -2*t**5 + 2*t + 2*t**3 - 2*t**p wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = -21. Does 21 divide (-30)\/j*(-6 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2*a + 2*a + (-1 + 1 + 2*a)*(3 - 1 - 1))*(4*a**2 + 0*a**2 - a**2) in the form n*a**2 + x*a**3 + m*a + q and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 101020?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 594075 <= 7722970\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o - 3. Let b be 1*(2\/(-1) + 1). Let i be s(b). Factor 1\/9*g**3 + 0 + 0*g - 1\/9*g**i.\nAnswer: g**2*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 63845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38465494?\nAnswer: 2, 1061, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 197 = 139. Let o = x + 279\/5. Which is the third smallest value? (a) -4 (b) -2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408343 and 25256621.\nAnswer: 4043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1 (b) -1\/113 (c) 3\/2 (d) -4 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -5 + 5 + sqrt(24)\/sqrt(2) + (sqrt(1728) - sqrt(1728)*1*2 - sqrt(1728)))**2.\nAnswer: -38184 - 2208*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**4\/2 - 8*i**3\/3 - i**2\/2 - 5. Let y be a(-4). Solve -3*v + 5*u + 10 = 0, -u - 2 = v + y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k. Let g(z) = 3*z. Suppose 0 = -3*n + 16*n - 559. Suppose 9*p = -2 - n. What is p*g(f) + 2*i(f)?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 + 157*x - 1495. Let n be u(10). Calculate the greatest common divisor of n and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*u - 2*d, 0 = -5*u - 4*d + 10 + 8 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 25 + 7 - 3 + 33*i + 10 + 3. Let k(z) = z**2. Calculate r(k(t)).\nAnswer: 33*t**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*b - 2 = 186*b - 4*o, -b - 3 = -o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -375, -6, -2 in descending order.\nAnswer: -1, -2, -6, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/2*(-96)\/56*(-23)\/138.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(140)\/sqrt(36))\/((sqrt(168)\/sqrt(6))\/sqrt(4)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-215)\/(-45) - 5)*-27. Let d(c) = 2*c + 38. Let z(v) = v + 20. Let n(a) = t*d(a) - 11*z(a). Suppose 5*q + 33 = -12. What is n(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 7 = m. Suppose -2*w + 8 = -0*a + 2*a, -a + 4*w - 16 = 0. Let n = a - m. Solve -n = 2*s - 4*p - 1, -4*p + 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let l(d) = 56*d**2 - d + 1. Let t be l(w). Suppose 5*u = -53 + t. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*u - u + 4*g, 5*g + 20 = 2*u. Let m(l) = 18*l + 0*l + u*l. Let o(b) = -2*b. What is m(o(y))?\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(1 - 20\/12). Suppose -621 = -u*y + 3*y + 4*t, 4*y - 818 = 2*t. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(2 + (-58)\/21) and 0*1\/7 + (-145)\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19581 or 3?\nAnswer: -19581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2508\/(-154))\/(176\/(-616))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116925, 233747, 350569?\nAnswer: 467391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58151*m**2 + 116127*m**2 - 57969*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 5:27 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/((-1)\/(-10)). What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469 = -5*n - 121. Suppose 0*s + 5*s + 2*j - 1605 = 0, s - 321 = 2*j. Let c = s + n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + 8. Let f = -790 - -794. What is a(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 0.5. Let g = -0.5 - -1.5. Let i = -8 - -4. Which is the closest to z? (a) i (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 66 = -2*v + 9310, -r + 23047 = 5*v. Is 128 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 + -7 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10940260?\nAnswer: 2, 5, 53, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 = 3*l + 18*l - 2*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 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 z be (10 + -16)*(-146)\/1914. Let h = z - 8\/29. Let b = 0.33 - 0.23. Sort 3, b, h.\nAnswer: b, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144.177489 seconds to days.\nAnswer: 0.0016687209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-8)\/96)\/(531\/472)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 0.2, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**3 - y**2 + y. Let g = 1181 + -606. Suppose 577*j = g*j + 2. Give o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*j + 29, -2*b + 5*j - 37 = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = 2*a, 4*o - 1 - 1 = -5*a. Let v(q) = -4*q + 5 + q + a*q. Let t be v(6). Let h(g) = -8*g**3. Give h(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10\/9))**(-1\/10)*(g*g*g**(-4\/23)*g)**(2\/25) assuming g is positive.\nAnswer: g**(349\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4320)*-2)\/(sqrt(6) + (sqrt(66)*-2)\/sqrt(11)) + -2.\nAnswer: -2 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16394 equal to 13578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -43*j**7\/105 + 11*j**5\/20 - 13*j**2 + j. Let v(h) be the first derivative of w(h). Find the third derivative of v(u) wrt u.\nAnswer: -2064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 4*o**2 + 6*o - 2. Let d be 0\/(-2) - ((1 - 6) + 0). Determine q(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/25*7\/(84\/(-20)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2296, -4666, -7124, -9670, -12304, -15026, -17836?\n\"Answer: -44*y**2 - 2238*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = -2*f + 20*x + 2, -5*x = -10. Suppose -5*j + 13 = 3. Let -4\/3*t + j*t**f + 4\/3*t**3 + 0 = 0. What is t?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 546*r**3 + 6*r**2 - 5*r. Let a(u) = u**3 + u**2 - u. Let l(t) = -3*a(t) + s(t). What are the prime factors of l(1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 - 22*m + 17. Let n be u(-8). Which is smaller: -0.783 or n?\nAnswer: -0.783","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1078 and 14.\nAnswer: -15092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 8*y. Let w be s(-6). Suppose -2*p = -5*q + 2*p - w, 4*p - 12 = -4*q. Suppose 4*j - 161 + 25 = q. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 13*r + 12. Let k be s(12). Suppose -x + k*x = 0. Suppose x = -n + 61 + 26. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 648909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g - 2*j = 21420, 4*g - 2*j - 17138 = 0. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 75, 170, 265, 360, 455?\n\"Answer: 95*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyvfvffyvyyfvyvyy. What is prob of picking 2 v?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*z + 14 = 0, 4*z + 32 = 4*i - 4. Suppose 4 = n + x - 1, i = 2*n + x. Suppose -7*j + 128 = -n*j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-1 + (-15)\/5. Let v be (-1 - -3)*(0 - a\/4). Calculate the greatest common factor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92973300 to the nearest one million.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.24 - 0.74. Let p = n - 32.5. Let c = -2 - 0. What is the closest to p in c, -1\/4, 3.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 866*j = 860*j. Sort 4, -436, j in descending order.\nAnswer: 4, j, -436","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 20, -4\/5, 1\/871?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*l + 3 - 6 - 1 - 13*l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -39 - (-3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*475\/(-95).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 25*a**3 + a**2. Let t be b(1). Find the common denominator of 103\/20 and 1 - -1 - t\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 260904064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*b**6 + 8*b**5 + 5*b**4 + 18*b**2 + 8*b.\nAnswer: -7800*b**3 + 480*b**2 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1471517\/4 or -367879?\nAnswer: -367879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20729945 divided by 4145989?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8) - 1547\/182. Let f(k) = k**2 - 39*k - 371. Calculate f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3365449772643 from -0.5.\nAnswer: -3365449772643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 18. Let r = 122 + -119. Suppose 3*z = -2*b + 70, r*z + 8 = -4*b + 88. Solve -3*d + n*d = z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 3 - (-25 + 29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 1, w: 1, o: 2}. Give prob of sequence nwo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5553 - -1.5559639. Round a to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 492 + -463. Which is the nearest to 4? (a) 0 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -156*a - 89. Is g(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efdfqdqeeeqdzfdqfddz. What is prob of picking 3 f?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 709100 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -94. Let i(m) = m**3 - m**2 + 1. What is i(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -6\/5, 2, 1\/7, -2\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - o + 3\/2.\nAnswer: -(o - 1)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*i**2*k**3 + 4*i**2*k**2 - 12*i*k**3 + 5*i wrt i.\nAnswer: 34*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 30*z = -3888. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257562360 rounded to the nearest one hundred thousand?\nAnswer: -257600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.4 (c) 577 (d) 11 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 21*w**2 - 890*w - 15548. Calculate k(-16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*p - 6 = 0, 2*p + 0 - 2 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 2*o + 2 - 3*o**3 - 2*o**2 + 2*o to g*o**2 + a*o**3 + z + h*o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2\/3, -2, -1\/4, -1344, -3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(32\/88)\/((-7)\/77)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.095, -2\/5, -0.1, 1\/7 in decreasing order.\nAnswer: 1\/7, 0.095, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 2, e: 3, h: 1, v: 4}. Give prob of picking 2 v and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*h**3 + 3*g**3*h**2 + 13*g**2*h**3 + 60*g*h - h**5 wrt h.\nAnswer: -12*g**3 + 78*g**2 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (21 - (1 + -1 + -3)). Let o = i + 17. Which is the closest to o? (a) -0.4 (b) 2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -2 (c) 0.014 (d) -41 (e) -1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273 + -269. Suppose 0 = -2*c + 2*z + 10, 2*c + 4*z = -0*c - 14. Sort -3, c, r, 0.\nAnswer: -3, 0, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, -1 in descending order.\nAnswer: 0, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l - 35. Suppose -64*d - 56 = -57*d. Let c be i(d). Solve -3*q = -c*b + 29, 3*q + b = 5*b - 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 302 - 647. Let l = b + 1037\/3. Which is greater: -107 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 5*w**2 + 4*w - 5. Let n be o(-5). Let z be (-1)\/(-5) - (-55)\/n. Is (-11876)\/(-32) + z\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-695)\/2224*(-2)\/(-5)*(-2 + 1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7666, 7668, 7668, 7666, 7662, 7656, 7648?\nAnswer: 7638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z*z*z**0*z)*z)*z)\/z**5*z**(-8)\/(z*z\/(z*z\/((z**(2\/11)\/z*z)\/z*z*z)*z)))\/((z\/z**(-1\/5)*z*z*z**2\/z)\/(z**(-1\/3))**8) assuming z is positive.\nAnswer: z**(-2978\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let n(q) be the second derivative of 4*q**3\/3 - 9*q. Give j(n(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 8:24 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 2. Let a(r) = 9*r + 33. What is -a(t) - 6*z(t)?\nAnswer: -3*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.4287781 to two decimal places.\nAnswer: 115.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3464, 4, -20 in increasing order.\nAnswer: -20, 4, 3464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*n + 39 + 351 = 0, t + 16*n - 1482 = -3*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ammmmmaammmmmammamm. What is prob of sequence maam?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768 and 96896?\nAnswer: 581376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**2 + 32. Let c(y) = -2*y. Give d(c(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 1022 = 8573. Is 504 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = -418*h - 465*h - 21600 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -18184*y + 112981. Give a(6).\nAnswer: 3877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 10 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = -21*w - 7*r + 72, 2*r = 27 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92068 + 92068 + 990*z.\nAnswer: 990*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148452 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let w = j - -5. Let m = 2322 + -2321.6. Which is the second biggest value? (a) -5 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121119*i = 121142*i - 69 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = q. Suppose -q*a = -4, -5*a + 3 = -z + 1. What are the prime factors of 21*z - (-13 + 11)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5\/3 + 8396*x**4\/3 + 43*x**3\/3 - 361070*x**2\/3 + 117544*x = 0.\nAnswer: -7, 0, 1, 6, 8396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -63*f**2 + 4*f + 50. Let p(w) = -w - 24. Determine n(s) + 2*p(s).\nAnswer: -63*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/3 (b) 2 (c) 0.67 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2430 + 4861\/2. Put 0, 1, y, -0.18 in decreasing order.\nAnswer: 1, y, 0, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 m when three letters picked without replacement from {j: 3, m: 3, k: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -214*p**2 + 32958*p - 213. Determine v(154).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 z when three letters picked without replacement from {c: 4, z: 1, e: 1, u: 2, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 11 = 5*z, -107*c - 3 = -3*z - 110*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -54. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4387601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfexy. What is prob of sequence ey?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 325 - 429. Calculate the common denominator of -17\/882 and 1\/((-40)\/(-186)) - (107 + p).\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037602965 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 10, 4, -4, -14, -26, -40?\n\"Answer: -s**2 - s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76373 divided by -6943?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 11*c - 9. Let w be o(-10). Find the common denominator of (2 - w)*(-158)\/16 and 95\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.11 + 15.11. What is the closest to 7\/2 in 1\/7, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 13. Let j = -29 + 115\/4. Is j != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7421 - 3680 + 21*c - 85*c - 3741.\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95195?\nAnswer: 5, 79, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than -26.63405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.853 - -7.85297861. What is c rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -52. Suppose -5*j + 180 = -t. What is the common denominator of -27\/5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Let o be (-6 - (-144)\/27)\/(4\/(-1542)). Let t = o - 257. What is the nearest to t in l, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -140\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*q + 7*q - 3854 = 0, 0 = -4*k - 5*q - 3833. What is the common denominator of (k\/30)\/(-13) - -3 and 43\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5\/19 - 54508*s**4\/19 - 1089606*s**3\/19 - 6700124*s**2\/19 - 15251392*s\/19 - 9586368\/19 = 0.\nAnswer: -27234, -11, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*-3 + sqrt(78))\/(sqrt(6) + (-3*sqrt(66) + sqrt(66))\/sqrt(11)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.05. Let z = -0.4 + t. Which is the biggest value? (a) -2\/23 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1. Let n(o) = -4*o**2 - 4*o - 17. Let m(k) = 2*k**2 + 2*k + 8. Let t(y) = 5*m(y) + 2*n(y). Give t(f) + 6*z(f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 15 = 3*o, s = -0*o - 3*o - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 234*w - 232*w. What is the remainder when (0 + 12\/w - -4) + 99 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 - 103*r**2 - 241*r + 350.\nAnswer: -(r - 1)*(r + 14)*(6*r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -107366, -107365, -107364, -107363, -107362, -107361?\n\"Answer: a - 107367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 + 6*p**2 + 6*p + 6. Let w(f) be the third derivative of -f**6\/24 - f**5\/12 - 5*f**4\/24 - 5*f**3\/6 + f**2 - 65. Calculate 5*j(d) + 6*w(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 233110 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)*z**(-3\/8))**(2\/101) assuming z is positive.\nAnswer: z**(-17\/4444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2462 - 2106. Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 4*b. Suppose 0 = m - b - 1. What is the units digit of (4 - m)*1\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 33*n**3 - n**2 - 2*n - 1. Let d be u(-1). List the prime factors of 4\/(-22) - 204\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -29, -63, -93, -119?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.215354 years to months.\nAnswer: 38.584248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124 and 40?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -615355766841.\nAnswer: 615355766840.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4321, -8664, -13065, -17554, -22161, -26916, -31849?\n\"Answer: -5*v**3 + v**2 - 4311*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 49. Which is bigger: -7\/9 or t?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 40127 = -5*h, -8029 = 309*h - 310*h + 4*g. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337761.21 less than 188?\nAnswer: -1337573.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223 - -331. Calculate the remainder when c is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + 32. Let u = -84 + h. What is the remainder when 54 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 a when four letters picked without replacement from xxyxxxaxxxx?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-13)\/k)\/(k\/k**(-5\/6))*k**(-3)\/(k\/((k*(k**3*k)\/k)\/k)*k))**(-12\/7) assuming k is positive.\nAnswer: k**(214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m + 3. Let o be c(-2). Suppose 0 = k + p, -4*k + 4*p + o = -3*k. Let j(t) = -t + 3. What is j(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 115.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.6 + -2.014.\nAnswer: -13.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 at most as big as 0.0843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + 36. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 - 14\/(-4). Suppose 0 = -0*t - 2*t + 100. Suppose -4*q + t = 5*g, g + g - q = 20. Calculate the highest common divisor of h and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o**(-1\/4)*o)\/o)\/o)**(26\/7))**(-33) assuming o is positive.\nAnswer: o**(429\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 - 455\/3. Let s(h) = 6*h - 1. Let x be s(1). What is the second biggest value in x, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31609 is divided by 9076.\nAnswer: 4381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(80525\/33 - 8\/220*-5). What is z rounded to the nearest 100?\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1564670 and 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36120690.3 rounded to the nearest 10000?\nAnswer: -36120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 5. Let m be l(-4). Suppose 30*z = -54 + 84. What is the nearest to -1 in z, -26\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.9 + -42. Let t = m + 3.0999958. What is t rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, 1 y, and 1 p when four letters picked without replacement from {d: 2, y: 2, t: 1, f: 5, p: 2, w: 2}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 - a**5\/15 - a**4\/4 + a**3\/2 - 11*a**2 - 3. Let g be p(-4). Calculate the greatest common factor of 63 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715791777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-20)\/16) + 3. Sort z, 3, -5, 5.\nAnswer: -5, z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(32)\/(sqrt(32)\/sqrt(4)))\/sqrt(2).\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -318*q**3 + 6*q + 11. Let x(g) = 64*g**3 - g - 2. Give -2*s(a) - 11*x(a).\nAnswer: -68*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7163 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13472.55 grams in milligrams?\nAnswer: 13472550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12996 and -47\/5776.\nAnswer: 51984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -1\/3*x**3 + 0 + 2*x + 0*x**2. Let v be (-185)\/(-100) - (-78)\/520. Determine f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -17*m**2 + 2*m + 21. Let t(n) = -8*n**2 + n + 10. Let h(y) = -6*j(y) + 13*t(y). Let c be h(-2). Let w = c + 8. Solve 0*v - w = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 7*c - 2*c)*(1815*c - 501*c - 45*c)*(-c + 3*c - c) as m + z*c**3 + i*c + o*c**2 and give z.\nAnswer: 6345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373103 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1\/8, -0.3, -1, 3, 3597?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5\/13 - 18*t**4\/13 - 2*t**3\/13 + 18*t**2\/13 = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -16*l**2 + 2*l - 2. Let k(x) = -3*x**2 + 19*x + 5. Let c(s) = 2*s**2 - 14*s - 4. Let w(z) = -4*c(z) - 3*k(z). Calculate -u(y) - 2*w(y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/((-96)\/(-44)) - 2\/(-4))*48. Which is greater: -78 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2 + 60*i - 173 wrt i.\nAnswer: 8*i + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 142*o**2 - 79*o + 805. List the prime factors of w(13).\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Let c(g) be the first derivative of 15*g**2\/2 + 3. What is n(c(z))?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 15*z - 14*z. Let w be z*(1 - (-95)\/(-90)). Are w and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 76 = -2*n + 22, 3*a = -4*n + 66. Suppose -5466 = -319*m - 65*m + 13350. Calculate the remainder when m is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) -4 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, e: 4, d: 2, p: 4, c: 2}. What is prob of picking 1 p, 1 e, and 1 c?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - 5*y + 2*y)*(177 + 11 + 519 - 117)*(-3*y**2 + 4*y**2 - 2*y**2) as f*y + q + u*y**2 + b*y**3 and give b.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 29. Suppose 1831*f - 4*o = 1826*f - 63, -2*o - 51 = 5*f. Calculate b(f).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 103*o**3 - o**2. Let g be z(1). Let r = 1399 - 1498. Let n = g + r. Solve 0*l + n*l = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dss when three letters picked without replacement from sdsdddssdd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -750370800 to the nearest one million.\nAnswer: -750000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-39)\/91)\/((-2)\/7). Solve 0 = -8*f + 7*f - s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.09 - -3.\nAnswer: 48.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Suppose x = a - 7. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1132 - 175. Is b a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33311010 (base 4) to base 16.\nAnswer: -fd44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o. Let m be w(-2). Let n = -13.9 - -14. Is n greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*v**5\/5 - 5896*v**4\/5 + 9138*v**3\/5 + 77116*v**2\/5 - 28808*v\/5 + 528 = 0. Calculate v.\nAnswer: -3, 2\/11, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12264226 (base 7) in base 6?\nAnswer: 35431131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1360426*f**2*m + 28361*f**2 wrt m.\nAnswer: 1360426*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/5 (b) 3\/8 (c) -1\/6 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 59 times -0.3\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 8\/17 (b) 0 (c) 959 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.3381 centuries to decades.\nAnswer: 2383.381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*h**3 - 81*h**2 - 939*h**3 + 159*h**2 - 78*h**2.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfffpfppf. Give prob of sequence ffp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -29. Let z(c) = -4*c**2 + c - 56. Let v(m) = 2*k(m) - z(m). Let i be 66\/(-9) - 4\/6. Let r(y) = 11*y**2 - 3*y - 5. Give i*v(u) + 3*r(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 284.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let w(f) = -39*f + 3. Let m(d) = 858*d - 65. Let z(p) = -3*m(p) - 65*w(p). What is i(z(k))?\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from vxvxvaxvvazyvccczvvv.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5532 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 1466520*j - 4399587.\nAnswer: 3*(j - 488843)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1*(-3)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121501 - 21?\nAnswer: -121522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 9*g**2 + 11*g - 12. Let y = 7 - -1. Let a be x(y). Is (452\/(-16))\/((-3)\/a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 - 4.6. Let i(f) = -f**3 - 2*f**2 + 2*f - 4. Let o be i(-3). Let p = 4.6 + -5. Which is the nearest to 1\/2? (a) o (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f + 8. Let t = -5 + f. Suppose -2*a + t*v - 11 = 0, -2*a = -4*v - 0*v + 16. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 39*i**3 + 2220*i**2 - 86*i + 4776. Calculate u(-57).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (6 + 2)) + 943107. Round q to the nearest 10000.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r**2 - 16*r + 18. Let i(c) = -2*c**3 + 29*c**2 + 12*c + 46. Let n be i(15). Let y be o(n). Which is smaller: y or 165\/7?\nAnswer: 165\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238124100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77155891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z + z**3 - 245 + 245 to the form d*z**3 + r*z + o + h*z**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005889 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-45)*-3)\/((-14)\/154*-11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -2*o + 37, -20*m + 12 = -2*o - 18*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.9732 rounded to one decimal place?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1833 - 1451. What is the closest to 1 in 4, o, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54034, -108574, -163094, -217594, -272074, -326534?\n\"Answer: 10*i**2 - 54570*i + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 24, 23, 22, 21?\n\"Answer: -z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -14 + 37 - 22.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-12))\/7 - 33\/(-63)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5017 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 - 7*m - 6. Determine i(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:49 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07988203 and -6808.\nAnswer: -6807.92011797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.82 - -0.18. Let k = -7.97 + h. Let s = -0.119 - k. Round s to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w - 3*w + 129 - 129.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 + 0 = -4*z, -3 = 3*y - 3*z. Let l be 0\/(1 - 3)*(-1 + y). Suppose l = j - 4, 2*j = -3*k + 364 + 22. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -27, -14, 8, -2304, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1957*r**3*w + r**2*w + 2*r*w*y - 51332*w*y with respect to r.\nAnswer: -5871*r**2*w + 2*r*w + 2*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/20)\/(c\/c**(3\/14)))\/(c**(-11)*c\/c**(-20\/11)) assuming c is positive.\nAnswer: c**(11159\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/55 and -32\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -30. Suppose -3*s - 18 = f*w + w, 1 = -w + s. Put 0, w, 5 in descending order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 69 + 85 = 2*f, -4*o - 160 = -2*f. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/84812263 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 802750 by 32110.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66.9 + -72. Let a = 5 + o. Is 7\/2 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 7 = y + 2*w, 3*w + 9 = -2*y. Let a(b) = b**3 + b**2 - b + 1. Let z be a(1). Suppose i = 4*m + 5*i, z*m + 5*i + 15 = 0. Solve -m + y = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -181800*b**2 - 11*b + 10250704 wrt b.\nAnswer: -363600*b - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 340*m - 5265 = 0. What is m?\nAnswer: -13, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258807 < 1258817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:09 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 290, 151 in increasing order.\nAnswer: -61, 151, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 106, -2\/21, -45, -0.1?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 78. Let o(x) = 24*x**2 + 13*x**2 - f*x**2. Let m(p) = -3*p**2 - 13. Determine o(m(q)).\nAnswer: -9*q**4 - 78*q**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(80) - 1*(sqrt(405))**2) + 4 + 1.\nAnswer: -395 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a factor of 1081218600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - (sqrt(66) - 1*(sqrt(66)*1 + sqrt(66))))*-4)\/(-2*sqrt(216)*5) + -1)**2.\nAnswer: -4*sqrt(11)\/15 + 269\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 - 0) - (31 + (35 - (134 - 3)))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let q be x(0). Let p = 1 + q. Sort -2, p, 4.\nAnswer: -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30959\/52 - 22524\/13. Let j = 1159 + a. What is the common denominator of j and -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19336\/11203 - 52\/659. Which is the third smallest value? (a) s (b) -5 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*k - 1535 + 2673 = 7956 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2656)\/3237 - (-5)\/(15\/2). Let y = 5 + -4. What is the nearest to y in 10, k, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**2\/2 - 4*g + 3. Let y(q) = q - 1. Let s(d) = j(d) - 4*y(d). Let b(a) = -9*a - 14*a + 22*a. Give s(b(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 17, 3, 0 in decreasing order.\nAnswer: 17, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3122, -5, 4, -1.\nAnswer: -3122, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*p = 430*p - 4. Suppose -5*g = y - 73, p*y - 1 = -g + 10. What is the remainder when 867 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210*f**2*k + 663687*f**2 - 46832195*f*k - 5*f wrt f.\nAnswer: 420*k + 1327374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + 4*x**2 + (2*x - 2*x - x)*(-5*x + x + 3*x) + 0*x**2 - x**2 - x**2 - 8*x**2 + 6*x**2 - 1 + 2.\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-25) + (-408)\/20. Let b = 70 + m. Let c = b - -209. What are the prime factors of c?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 359 - 366. Put -3, -5, 4, p in ascending order.\nAnswer: p, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 6*m**2 - 2*m + 10. Let t be g(-7). Let f be (-52)\/(-10) - (-5)\/t. Is (42\/(-10))\/((-1)\/f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -3 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-4 - -16 - (-15 + 34)) - -5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u*u**(2\/9)))*u*u)**(-8\/5))**(6\/29)\/((u**(1\/3))**(18\/7)*u\/(u**(-3\/2)\/u)*u*u\/(u*u**2*u)) assuming u is positive.\nAnswer: u**(-22867\/6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 533 (b) -1\/2 (c) -3\/211 (d) 7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-14)*z*z*z**(-1)*z*z**(-25)*((z*z**(11\/3))\/z*z)\/z assuming z is positive.\nAnswer: z**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 4*c. Let x = c + 0. Calculate the remainder when 17 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50302672 and 1120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-198) - 6608\/(-10443)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(3\/8)\/j)\/j*j\/j**(5\/4)*j*j**(-27)\/j*j**(-5\/9)*j assuming j is positive.\nAnswer: j**(-1975\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 660 = -273. Let q = y + 477. List the prime factors of q.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3628 = -1432*n + 10788 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*m**5 + 3259611*m**2 - 7276149*m?\nAnswer: -280*m**3 + 6519222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -41.8. Let y = 2.2 + -7.2. Let t = y + 5.4. What is the nearest to 9 in g, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7519, 2, -5 in descending order.\nAnswer: 5, 2, -5, -7519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392174 and 2?\nAnswer: 392174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -19. Let n be 5\/15 + (-140)\/(-3). Let m = n - 44. What is the greatest common divisor of m and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.535 + -25.4. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.48 + 3.48. Let n = -2.73 - -0.03. Let w = -2.4 - n. Which is bigger: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 15*t - 9. Let q = 668 - 435. Let o = q - 218. Determine i(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**3\/6 + 25*w**2\/2 - 2*w. Let j(g) = 12. Let h(b) = 3*i(b) - 5*j(b). What is the tens digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 6*m - 2*m**3 + 2*m**3 - 22 + 391*m**2 - 403*m**2. What are the prime factors of a(-13)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-47 - -30)) + 3*(-795)\/(-45).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 102*q - 89*q. Which is bigger: 16\/21 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6290 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -77.11.\nAnswer: -77.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -6. Suppose 11*j = r*j - 4510. Suppose 0 = 6*v - 17*v + j. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 5*t**2 + 6. Let x(p) = -6*p + 1. Suppose -a = -4 + 3. Let l be x(a). Let y = l - 0. Give z(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14411952 divided by 8.\nAnswer: -1801494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 461677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973*l - 19193 = -1589*l + 83287 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**3 - 14 - 3*y + 8*y + 27*y**2 + 7*y**3. What is the hundreds digit of s(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21490*d + 20055*d - 38178*d to j + w*d and give w.\nAnswer: 3367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48316050 by 9663210.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 420 + -395. What is the greatest common divisor of 10 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/(-2))\/7*(-1253)\/(-358)*(-8)\/(-70)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 6) + (2 - -2). Let w(t) = 5 - a - 11 + 5*t. Let h(y) = -14*y + 20. What is -4*h(g) - 11*w(g)?\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let o(h) = 0*h - h - 6 + 16*h. Calculate z(o(g)).\nAnswer: 450*g**2 - 360*g + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c - 35. Let v(m) = 59*m - 61*m - 7 - 1. What is the units digit of v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/22 (b) 0 (c) -0.04 (d) -3 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (3 + -2)*-3. Suppose 0*x + 4*x = -f*z + 10, x = 2*z - 4. Suppose 9 = -z*n + 13. Solve -p - 8 = n*o, -o - p + 1 = 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(112)*-3)**2 + (sqrt(7) + (sqrt(7) - (1 + sqrt(28))))*5 + -3.\nAnswer: 4028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8*n - 18. Let g = n - 2. Let d be 20\/(-12) - (g - 4). Which is the second biggest value? (a) d (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (735\/(-350))\/(4\/10*-3)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -22, 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 + 0*g**3 + 2 + g**2 - 8 + g. What is t(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37 and 0.4778.\nAnswer: -36.5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -10*m - 45, 8*m + 1 = 2*m + 6*m + k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 16) in base 2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*g + l, -2*g + 108*l + 1 = 111*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*z - 484*z = 216*z + 44601 - 10116 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let r be (-31 - -17 - -19) + 1*-10. Let l(x) = -x**2 + x + 47. Let w be l(r). What is the greatest common factor of u and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -70, -165, -298, -469?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1205*t = -1586*t - 1143. Put 17, t, 1, -5 in descending order.\nAnswer: 17, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 180*z**2 + 12*z + 4. Let p be n(-2). Suppose -9*c + p = c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94537741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -22*a**5\/5 + 19*a**3\/3 - 8. Find the third derivative of l(v) wrt v.\nAnswer: -528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/5 - 408*h**3 - 518148*h**2\/5 + 1050616*h\/5 + 1566726\/5 = 0 for h.\nAnswer: -511, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 9*l = -202. Calculate the remainder when l is divided by 0 + 5\/(15\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 5*g**3 - 105 + 2*g + 27 + 28 + 15*g**3 + 25.\nAnswer: 10*g**3 + 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-7)\/(-5))\/(-7))\/(2\/(-6)). What is the second smallest value in -16, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 315, 414, 459, 438, 339?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 25\/112*w**8 + 0*w + 0 - 1\/3*w**5 - 5\/6*w**6 + 0*w**3 - 19\/42*w**7 - 3*w**2 + 0*w**4. Suppose d(h) = 0. What is h?\nAnswer: -2\/5, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/17)\/((a\/a**(-8))\/a)*(a**4)**(-25) assuming a is positive.\nAnswer: a**(-1838\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + g)*(-6 + 5 - 3)*(-1 + 2 + 1 + (0 + 0 - 1)*(-2 + 3 - 2) + 3 + 1 - 5 - 1 - 4 + 6).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-900)*6)\/(14\/(-35)))\/(-1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.89 - 1.89. Let d = -39 + 42. Suppose -d*p + 3 + 0 = 0. Which is the closest to 0.6? (a) p (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 4. Let u be 65\/25 - (-2)\/5. Let d be v(u). Suppose -5*c + z + 14 = -z, c + 3*z - d = 0. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(245) - sqrt(5) - 3*sqrt(720) - (sqrt(15) + (sqrt(15) - -2*sqrt(735)) - sqrt(15))\/(-5*sqrt(15)\/sqrt(5)))**2.\nAnswer: 54*sqrt(5) + 3646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6455717, 12911435, 19367141, 25822829, 32278493, 38734127, 45189725?\n\"Answer: -u**3 + 6455725*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1667\/10 - 165. Find the common denominator of b and -49\/158.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-3)*a*a)**(-14) assuming a is positive.\nAnswer: a**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**3 + 26*x**2 + 7*x. Let r = 8 - 3. Let l(q) = 7*q**3 + 26*q**2 + 8*q - 1. Let z(f) = r*m(f) - 6*l(f). Find i, given that z(i) = 0.\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h**3*n + 5*h**3 - h*n + 9*h wrt h?\nAnswer: 78*h*n + 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h - 1399739 = -43*h. Let a = h + -7635109\/60. Find the common denominator of a and -73\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*n + 35*n - 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/13154829 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -33\/26605?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1215856?\nAnswer: -3647568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31887 is divided by 4551.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 698*y. Let x(g) = 3583*g**2 - 26. Calculate x(a(n)).\nAnswer: 1745651932*n**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-34) + 0 + 9750\/(-42840) and 151\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69483 = -107*p - 72372 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 31*l**3 + 7*l**2 + 12*l - 2. Let f(a) = -94*a**3 - 21*a**2 - 42*a + 7. Determine -6*f(n) - 21*o(n).\nAnswer: -87*n**3 - 21*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -9)*((-60)\/(-5) - -2). Let u = -96 + o. Solve -3*f = -4*f - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 3. Let u(p) = p**2 - 4. Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.058*-226.\nAnswer: -13.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15532*r**4*s**2 + 9*r**3 + 2*r**2 + r*s**2 + 33*r*s + s**2 + 1170*s + 4 wrt r?\nAnswer: 186384*r**2*s**2 + 54*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5173, 2, 22 in ascending order.\nAnswer: 2, 16, 22, 5173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.046989 and -4?\nAnswer: 4.046989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1179*364\nAnswer: -42.9156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4268 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 2\/29 (c) 3 (d) -4605\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-348)\/14 - (-4)\/(-28). Let w = -21 - q. Let v(y) = 2*y**2 + 3*y + 2. What is the units digit of v(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h**2 + 40*h + 8 = 0 for h.\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(187))\/(sqrt(352)\/sqrt(2)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*o - i, 9*i = 2*o + 7*i - 12. Let n be (-8)\/(-20) + ((-272)\/(-70))\/o. Factor -8*a**3 - n*a**2 + 0 - 4\/7*a.\nAnswer: -2*a*(4*a + 1)*(7*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/2 of a hour?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/716672 and 89\/2?\nAnswer: 716672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 10*k**2. Let q(g) = 946*g. Give q(x(s)).\nAnswer: 9460*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2411*v - 1 + 2330*v + 3)*(3 + 3*v**2 - 3 - 2*v**2 + 2 - 2 + (-v + 3*v + 0*v)*(-4 + 2*v + 4) + 4*v**2 + 2 - 2).\nAnswer: -729*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/5 - 10633246*p**4\/5 + 14133266645156*p**3\/5 - 70666141827468*p**2\/5 + 98932526252442*p\/5 - 42399640436886\/5 = 0.\nAnswer: 1, 3, 2658309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bngg when four letters picked without replacement from {g: 3, n: 2, b: 15}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q = -69*q - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 71. Suppose -2*h + v = -m - 3*m, -2*m + 8 = 0. Solve h = -2*i + 3*z, 7*i - 5*i = z - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1529 and 4309?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(22\/5))\/m**(-35) assuming m is positive.\nAnswer: m**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.420061km to meters.\nAnswer: 9420.061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*t + 202, 0*t = -4*l - t - 190. Calculate the least common multiple of 3 and l\/(-22) + (-4)\/22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (2 - 23 - -10 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose 54*l = 67*l - 41444. List the prime factors of l.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8 - (-875)\/(-900). Let v = 0.1662 + 0.8768. Let f = v - 0.043. Which is the nearest to f? (a) -1\/4 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84322.87ml?\nAnswer: 84.32287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -28. Let f(a) = -4*a**3 - 5*a**2 - 5. Let s(p) = -2*p**3 - 2*p**2 - 2. Determine h*s(v) + 2*f(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1791.8 + -0.5?\nAnswer: -1792.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -6 (b) -5 (c) -140\/13 (d) -0.049 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3 + 9*r**2 + 24*r + 16 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 + s**2 + 0*s**2)*(28*s - 23*s - 16*s).\nAnswer: -77*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 + 3*s - 4. Let y be i(2). Let k(f) = 9 - 16 + y. Let t(l) = -l + 2. Calculate -2*k(o) - t(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 8*g**2 + 5*g - 4. Let w be j(-7). Suppose q = w + 17. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 266964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 254, 538, 912, 1406, 2050, 2874, 3908?\nAnswer: 5182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 + 241?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 + 2 - 7*w**4 - 16*w**3 + 3*w**4 - 4 - 2*w + 20*w**3 to the form r + j*w**3 + l*w**4 + n*w + m*w**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)\/(t\/(t\/t**(-3))*t*t*t))\/(t*t**1*t\/t**(-2\/37)*t) assuming t is positive.\nAnswer: t**(-524\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 46267570.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 1:24 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 160 + 65)*(x**5 - 5*x**5 - x**5).\nAnswer: 770*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x - 21*x + 5*x as g*x + k and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 21*w**2 - 3*w. What is the tens digit of f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/307039 and -12\/7.\nAnswer: 2149273","meta":{"dup_signals":{},"source":"numbers__lcm_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 a be 4\/16 + (-543)\/(-4). Suppose 46 - a = 3*n. Let q = -11 - n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 28040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/108 and -101\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22181 plus 0.3?\nAnswer: 22181.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36267264 and 6912.\nAnswer: 36267264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 1323 = v. Is 26 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let a(o) = 3*o**2 + 2*o + 2. Let z = -42 + 23. Let j(y) = y**2 + 21*y + 37. Let c be j(z). Determine c*a(x) - 2*n(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 349*f**2*j**2 + 2*f**2 - 21*f*j**2 - 6*f - 941228*j**2 wrt f?\nAnswer: 698*f*j**2 + 4*f - 21*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 19*g + 97968 = 17*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 69. Suppose 38*i - 343 = n*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 939060 and 6041286.\nAnswer: 181238580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*o - 5*g, 2*g = g - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88\/91 - -20\/13. Let t = 47\/27 + -13\/54. What is the biggest value in t, 4\/3, -2\/9, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 14*j + 2. Let t be q(-14). Let k(m) = -2*m - t*m + 3*m. Let r(f) = -7*f - 3. Let h(u) = 7*u + 2. Let d(x) = -3*h(x) - 2*r(x). Give d(k(y)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 + 3833?\nAnswer: 3772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, k: 3}. What is prob of sequence kkxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-9)\/90*2696*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 5*g + 3. Let h be v(-3). Which is bigger: 3\/25 or h?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/9, 77?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.2 (c) 2\/15 (d) 27023 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syxx when four letters picked without replacement from yyxxyxyysysq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 61\/3. Let i = -41\/10 - -8\/5. Let m = 0.5 - 0.1. Put m, i, o in ascending order.\nAnswer: i, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/(-7) - 18\/(-63). Put -4, 2, 3, k in descending order.\nAnswer: k, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 282, 565, 848, 1131, 1414?\n\"Answer: 283*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*q - 29*q**2 + 89*q.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82913 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3888) + 0))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367\/241 + 34357\/37596. What is the common denominator of 89\/6 and l?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 0*o**2 + 0 - 1\/60*o**4 - 1\/30*o**3 + 34*o. Find d such that g(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77697124.\nAnswer: 2, 19424281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73803.63 litres?\nAnswer: 73803630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*6\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:41 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from vvzuvuubvvzvvvuzuv.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/4 - 437*r**3\/4 - 33625*r**2\/4 + 488901*r\/4 + 878805\/2 = 0.\nAnswer: -331, -118, -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 1196. Let z(j) = 10*j. Determine z(i(o)).\nAnswer: -20*o**2 + 11960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 5*u**2 + 2. Calculate s(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 18 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 140 + (2 + -14)\/12. Does 134 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**8\/8960 - y**7\/840 - y**6\/192 - y**5\/80 + y**4\/4 + 8*y. Let t(h) be the third derivative of a(h). Factor t(w).\nAnswer: -3*(w + 1)**2*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(22)\/sqrt(2) - (3*sqrt(1331) + sqrt(11)).\nAnswer: -33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, p: 2, y: 3}. Give prob of picking 2 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = 3*v - 23*x, 0 = -5*v - x + 20. Put v, -34, -5 in ascending order.\nAnswer: -34, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2*w - 2. Let v be y(2). Suppose 4*g = 4*f - 24, f - 2*g = -2*f + 13. Let n be (-4)\/(-4) - (f - -1). Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -8.6. Let y = -5 + p. Let u = 11645 - 11649. What is the nearest to y in -0.2, u, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-549)\/189 - (-2)\/(-21))\/((-4)\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q - 4*w, 2*q + 3*w + 8 = -w. Suppose q = 4*k - 9*k + 15. Solve -k*z = z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78601 - -25938379\/330. Let m = s - -1\/55. Let g = 38 + -39. What is the nearest to g in 0.4, -2\/9, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 13. Let b be t - 0\/(2 + -5). Solve 0 = 5*j + 14 + b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 56 = -3*u. Let p = 52 + u. Let n be 3\/9 + 179\/3. Calculate the greatest common factor of p and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3048*a - 24149 - 30715 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 5, 4, 0.4, 0.274, -4?\nAnswer: 0.274","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110000111100 (base 2) to base 15.\nAnswer: -6ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -50. Let u = 118939712\/427 - 278547. Let y = 3\/61 - u. Which is the second smallest value? (a) 10 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 4:31 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2\/3 + 91660*y - 549964\/3 = 0?\nAnswer: -274982, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(5 + -1) + 0. Suppose -q - 2*w - 78 = q, -j*q - 2*w = 113. Is 10\/q + 342\/21 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 6, -3, -26, -69, -138, -239, -378?\n\"Answer: -u**3 + 2*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2677 and 11.\nAnswer: 29447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 184*n**2 + 129*n + 312. Determine s(-62).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:43 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -108, -96, -62, 6, 120, 292?\n\"Answer: 2*x**3 - x**2 + x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3332230 (base 4) to base 12\nAnswer: -9524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28455 is divided by 661?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -28, -18, 8, 56, 132?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwst when four letters picked without replacement from {y: 1, s: 3, w: 4, m: 1, t: 10}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**2 - 7*v - 1. Let s(j) = 4*j**2 + 4*j. Let r(u) = -3*g(u) - 7*s(u). Let z be r(-7). Suppose z - 11 = -4*w. Solve 6*x - 12 = w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 4403?\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394635 is divided by 116217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 226*y - 3091. Calculate z(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p - 1614 = -42*p + 28*p + 5029 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 403916 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*g + 460 = 3*j, 0 = -4*j + 4*g + 660. Round j to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -3487.\nAnswer: 1394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -42*o**2. Let y(i) be the second derivative of i**4\/6 - 16*i. What is y(l(b))?\nAnswer: 3528*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(66)\/sqrt(6)) + 3 + sqrt(2448).\nAnswer: 3 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1085262 (base 9) to base 5\nAnswer: 122302132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 1. Let l(s) = -29*s - 3. Let g(a) = l(a) + r(a). What are the prime factors of g(-4)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-10))\/(2\/20). Let w(b) = b**2 + 6*b. Let g be w(i). Let x(l) = -l + 2. Let n(c) = c - 2. Calculate g*x(d) - 4*n(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - f + 0*f + (-f + 0*f + 0*f)*(0 + 0 + 1) + 2*f - 9*f + f - 4*f + 2*f - f + (1 - 1 - 2)*(1 + 2*f - 1).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*l - 15, 47*l - 52*l + 5 = 5*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - 17. Let l = 92 + -61. Let t = l + -15. What is the lowest common multiple of t and q(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**4)\/s**(-2\/7))\/(((s*s\/(s*s\/(s\/s**(-3))))\/s)\/s**6))\/(s\/s**(-2\/15)*s**1\/s*s*(s\/((s**(2\/7)*s*s)\/s)*s)**(2\/15)) assuming s is positive.\nAnswer: s**(247\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, s: 2, x: 3}. Give prob of sequence sf.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {k: 1, f: 2, i: 1, r: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -21*f**2 + f. Let i(w) be the first derivative of w**2\/2 + 854. Determine u(i(m)).\nAnswer: -21*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 22*p**2 - 9*p**2 - 21*p**2 - 3*p. Let j(u) = 45*u. What is j(f(k))?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z - 96. Let b(q) = -51*q - 387. Determine b(s(y)).\nAnswer: -306*y + 4509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -182*w - 1. Let m be l(-1). Suppose 4*q - m = 643. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.35 - 25.75. Which is the second biggest value? (a) x (b) 4 (c) -5 (d) 0.079\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.9 + 31. Which is the closest to j? (a) -3 (b) 1 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 1\/6 (b) 175 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6642348.599527 take away -0.17?\nAnswer: -6642348.429527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 193\/90 + 12449\/224082\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 1 + (2 + 1 - 1)*(-1 + 0 - 1))*(3*c + 2*c - 4*c)*(-6*c - 11630*c**2 + 11598*c**2 + 30*c).\nAnswer: 256*c**3 - 192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 245 = -25. Suppose -726 = -4*r - 30. Let h = r + -152. Calculate the greatest common divisor of h and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15761 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 4*w**3 - 4*w**3 + 6*w**3 - 3*w**3 - 2*w**3 + (-1 - 2*w + 1)*(-w**2 - 2*w**2 + w**2))*(20*w - 25*w - 48*w).\nAnswer: -159*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26756, 26751, 26746, 26741?\nAnswer: 26736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (-930)\/(-20)*(-149936)\/(-6). What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/11))**(-5))**(-11\/5) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -75939\nAnswer: 3\/25313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/(-8) - (-1)\/2 and 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 30*z - 98. What is the remainder when 19 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1 - 2*g + 6 - g**3 + 7*g**2 - 2*g + 3*g. Let w be k(7). Let l(s) = -s + 1. Let u be l(-4). Put 2, u, w in increasing order.\nAnswer: w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, z: 1, l: 1, g: 1}. Give prob of sequence lg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50.07 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3404265, -13617049, -30638355, -54468183, -85106533?\nAnswer: -122553405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6853533 divided by 403149.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 818075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17991560453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-5 + 28 + -10 - 92\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from dssddsddsd.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25658672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12*y. Let o be c(-3). Suppose 0 = -5*g + 2*g + 3*s + o, -g - s + 2 = 0. Suppose g - 2 = 5*z. Is 1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*i + 6*i. Suppose 5*o - 3*o + h - 61 = 0, -3*o + 4*h + 119 = 0. Suppose -4*z - 5*x = -o, 3*z + 0*z - 3*x + i = 0. Solve 4*v = z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-4)\/(-3)))\/((-6)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -189887 and -189887 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (-4 - -22) - -39?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0*l**3 + 7\/2*l**2 - 2*l + 1\/4*l**4 + 0. What is the derivative of i(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15\/26 + 1\/13. Let f be ((-704)\/616)\/((-10)\/7). Let i be (-11)\/(-9) - 2\/2. Which is the closest to v? (a) i (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -21*j + 55 + 45 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*q - 15*q + 41*q - 1 - 20 + (2*q + 0 + 0)*(-3 + 1 + 0) - 3*q + 2*q - q.\nAnswer: -q - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312605 and 2060?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**2 + x + 1. Let s be w(-1). Let o = s + 10. Let a be (-39)\/(-15) - (-3)\/o. Solve 3*j - a = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. Suppose -4*q - 548 = 5*f, 5*f + 753 = -3*q + 207. Let n = f - -103. What is the second smallest value in c, n, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/9 (b) 1 (c) 3\/4 (d) -10449 (e) 0.001 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.2, 2\/3 in descending order.\nAnswer: 2\/3, -0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 + 3*y - 1. Let u be r(-3). Suppose u*k = 4*k. Suppose j = k, -2*f + f = j - 907. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, 5, -12, 610 in descending order.\nAnswer: 610, 5, 4, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-6)\/15)*5. Let k be 2\/5 + (-9)\/(-15). Let j be (-4)\/4 - -3 - k. Put 5, j, r in increasing order.\nAnswer: r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/29372 and 65\/252.\nAnswer: 264348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-1 + (-4)\/8). Let c = t - -6. Suppose p - 4*r - 17 = 0, -2*p = -0*r - c*r - 54. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from ljlttjttll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 7*q - 125 = -6*q, 88*h - 2*q = 47*h + 44*h - 25 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14595)\/(-455) + (-2)\/14 + 108\/1638?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -10, -5, 1571 in ascending order.\nAnswer: -10, -5, 40, 1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:08 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 + 3*k**2 - 2*k + 6. Suppose -62*x - 27*x = -56 + 323. Let v(f) = -14*f**3 - 8*f**2 + 5*f - 19. Calculate x*v(a) - 8*g(a).\nAnswer: 2*a**3 + a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 2*j**3 - 4*j**3 - 4*j**3 + 4*j**3 - 2*j**3 + (1 - j - 1)*(-3*j**2 - 4*j**2 + 6*j**2) as h*j**3 + a*j + d + w*j**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415 is divided by 122.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27 and -55.9170373.\nAnswer: -82.9170373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.2. Let u = -15.7 + -165.3. Let v = u - -181.1. Which is the nearest to d? (a) -0.1 (b) 0.06 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 4, -4, 5, 17 in descending order.\nAnswer: 36, 17, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 17, 0.\nAnswer: 0, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 25*f**3 - 5*f**2. Let p be (1\/(0 + -1))\/(13\/(-39)). Is j(p) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*d - 2*d = 2, -3*o + 8 = d. Solve 1 = o*y - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let s(k) be the third derivative of -k**5\/30 - k**4\/24 - k**3\/3 - 119847*k**2. Give s(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4\/29, 0.5, 10.2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7774249, -31097014, -69968291, -124388080, -194356381, -279873194, -380938519?\n\"Answer: -7774256*x**2 + 3*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12328, 49339, 111024, 197383?\n\"Answer: 12337*g**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 294463837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9376507\/96 + 97671. What is the common denominator of -63\/124 and q?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27934 is divided by 27933.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4399 is divided by 126?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12607 divided by -1801.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4485910, -4486013, -4486116, -4486219, -4486322, -4486425?\n\"Answer: -103*m - 4485807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 3050357850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155875\/2 + 77939. Let v = 25 + -23. Determine x, given that f*x - v - 1\/4*x**2 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*h*q**5 - 886*h*q**2 - 5*q**5 wrt q.\nAnswer: -4260*h*q**2 - 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*j**3 + b*j**2 - 39*b*j + 16*j**3 + 16476*j**2 - 1879*j wrt j?\nAnswer: -6*b*j + 2*b + 96*j + 32952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/85)\/(((-280)\/25)\/(-4))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from sbsssssbbbsbssbbsbsb?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/1231 - -2465\/3693. Factor -i*t**5 + 0 + 0*t**2 - 4\/9*t**4 + 2\/9*t**3 + 0*t.\nAnswer: -2*t**3*(t + 1)*(3*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, f: 6, j: 7}. What is prob of sequence sssf?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -13*g**4\/24 + g**2. Let m be l(-1). Is 12 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 604, 336, -146, -842, -1752, -2876?\nAnswer: -4214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose q - 12 = -5*n, 3*n + z + 2 = 5*q. Solve -4*w - q = 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -14*d**3 - 9. Let n(j) = 7*j**3 + 4. Give -9*n(w) - 4*q(w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 33*x**2 - 71*x - 37. Let k be h(-35). Put -3, -15, 3, k in descending order.\nAnswer: 3, k, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let a = -1988 + 1993. Solve 0 = -a*m + 20 - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = -3*h - 5*b, 2*b + 10 = 3*h. Let t be (-23)\/(-7) - 2\/7. Let o = t - 2. Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-240)\/96)\/((-10)\/4). Solve 0 = -3*v - t - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10 and 65\/14606.\nAnswer: 73030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 1 h when three letters picked without replacement from {z: 3, i: 1, h: 2, l: 3, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325124410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -2*a**2 + 2. Let c = 0 - 4. Calculate the smallest common multiple of 20 and w(c).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 - (-3 + 2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1350 and 402210?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + 6\/3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -18*v + 4. Let y(c) = c. Let a(b) = -o(b) - 8*y(b). Is a(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:00 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/33 and 145\/146724.\nAnswer: 1613964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -61*m + 9 - 51*m + 3 + 122*m. Let f(i) = -7*i - 8. Let w(z) = -5*a(z) - 7*f(z). Determine w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -4*n + 2*f + 452, -n + 74 = 5*f. Suppose -n = -2*p + 331. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-1))\/((-2)\/4). Let h = 1 - b. Suppose 3*y = 5*m - 8, 3*m - 5*y - h = -3*y. Calculate the lowest common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 771.2275cm?\nAnswer: 7712275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -73. Suppose p + 2*l + 4 - 6 = o, -4*l + 4 = -2*p. Factor p - 4\/11*h + 2\/11*h**2.\nAnswer: 2*h*(h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11265 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = s, -4*o + 2*s - 13 = 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -r + 7*m + 3, -5*r + 45 = -5*m. Let u be r\/2 + 20\/(-20). Solve 0*j + 25 = u*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 191*r**4\/21 - 386*r**3\/21 + 4*r**2\/7 + 462*r. Factor w(a).\nAnswer: 4*(a - 1)*(191*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -18. Let t = r + -5. Solve 0 = 5*l + 4*q + 1, 0 = -t*l - 3*q + 2*q - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43141 + -25?\nAnswer: -43210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -14\/25 (c) 1\/3 (d) 46719\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1217497864 to the nearest integer?\nAnswer: 34893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t + 85758 = -3612. List the prime factors of t.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y + 7. Let l be j(-3). Let z(x) = x + 3. Determine z(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*((sqrt(243) + sqrt(243)*1*5)*-3 + -1*sqrt(243) + 3 + 4))**2.\nAnswer: -86184*sqrt(3) + 3159792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*d - 5917 + d**3 + 5917.\nAnswer: d**3 - 78*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.002409 plus -202?\nAnswer: -259.002409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 22 = -4*z - 5*x, 3*z - 4*x - 54 = 0. Let i be ((-7)\/z)\/((-2)\/596). Let h be i + ((-2)\/(-2) - -2). Round h to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 + 17*c**2 + 14*c + 21. Is n(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -18, 7, 52, 123, 226?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 - 1069*z**2 + 1575643*z.\nAnswer: -6*z - 2138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a7073 (base 15) to base 3.\nAnswer: -1002120112100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213968450 + 35217.\nAnswer: -213933233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 76401 = -2*u, 5*i = 8*i + u - 45840. List the prime factors of i.\nAnswer: 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Suppose -x - 48 = -p*x. Calculate the remainder when (-22 - (5 - 4))*-1 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2229572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k + 3. Let p = 21 - 19. Give y(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:57 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12621 + -12555.67. Let b = x + -66. Round b to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -3, -0.03, 4\/11, -2\/11, 20\/9?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-188)\/28 + 3 - -4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-43)\/(-2 + 1) + 0. Let g = 28 - h. Let q = 248 + -263. Is q less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/11 (b) -4 (c) -15 (d) 2 (e) 4 (f) 27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143067637.\nAnswer: 143067637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, d: 4, t: 7, f: 3}. What is prob of picking 1 d and 1 f?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 281657459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5631.75396 minutes to weeks.\nAnswer: 0.55870575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35504 + 51614 = 3300*j + 64662 + 179148 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (-2 + (-10 - 4))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/4)\/(-17)*5\/15.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r. Let p be ((-3)\/(-5))\/(5\/25). Let b(s) be the first derivative of 1\/3*s**p + 0*s**2 + 5 + 0*s. Calculate b(o(c)).\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*2 + sqrt(114))*6)\/(sqrt(600)*-1).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, c: 1, l: 10}. What is prob of picking 1 g and 1 c?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*y**2 + 49 - 10)*(0*y**2 + 4*y**2 - 2*y**2) in the form t*y**3 + u*y + g*y**2 + o*y**4 + x and give g.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 5*i - 2*i + (271 - 303 - 509)*(-4*i + 2*i + 0*i).\nAnswer: 1087*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*d - 11, 2*d + 2*d + 4*x - 68 = 0. Let b be 4\/d - 2\/(-3). Let z(y) = 9*y**2 - y. Calculate z(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(175) + 0 + (1 + sqrt(63))*-5.\nAnswer: -10*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-6)\/(-16) - 30\/(-48)). Solve -4*p + 11 = 3*n - 1, r = p - 4*n - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 2*a**2 + 13*a - 16. Let n be h(0). What is the greatest common divisor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**2 - 15*p**2 - 21*p**2 - 21*p**2 + 85*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 22 - 61\/4*m**3 - 1\/4*m**5 + 13*m - 4*m**4 - 31\/2*m**2 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94840 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9965\/9 smaller than -1108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18296?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1331 and -43\/1210.\nAnswer: 13310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, p: 1, s: 6, c: 3}. What is prob of picking 2 y and 1 s?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168954565, 337909128, 506863691?\nAnswer: 675818254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(7\/5)*a**(25\/3) assuming a is positive.\nAnswer: a**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -v. Let j(g) = g + 5*g**2 - 3*g**2 - g**2. What is the units digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 1\/3 (c) -10365 (d) 59 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 176 and 201 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17905 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.77088l?\nAnswer: 22770.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664859869 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(1 + 0))\/1. Let j be (2 + 1 - b)*(-2 + 3). Solve -v - v = 2*i - j, 3*v + i = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34349821 is divided by 8587450?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/2 of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 64*i**2 + 29*i - 22. Let t(z) = -32*z**2 - 14*z + 11. Let u(k) = -4*m(k) - 9*t(k). Is u(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 36*r**3 - 110*r**2 - 528*r + 1440.\nAnswer: 2*(r - 3)**2*(r + 4)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = -337 + 269 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*i - 8 = d - 164*i, 0 = -2*d + i - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.05, -0.078, -1, -2, -4, 2.\nAnswer: -4, -2, -1, -0.078, 1.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 17*r - 2. Let j be b(17). Put j, 4, 10 in ascending order.\nAnswer: j, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 12*z - 11. Let m be p(10). Let w = -9 + m. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17214474.05 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/8 - 51*d\/2 - 2601\/2.\nAnswer: -(d + 102)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 4. Let v be t(5). Let m be -2*v + (-88)\/(-32). Let 0 + 0*f - 1\/4*f**5 + m*f**4 + 1\/4*f**2 - 3\/4*f**3 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 601 + 15*k**2 - 15*k**2 - 128 as l*k**3 + p*k + f*k**2 + x and give x.\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4708 and 963?\nAnswer: 42372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (-5 + -4*sqrt(1053) - (0 + sqrt(1053) + 1))*5.\nAnswer: -225*sqrt(13) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-165)\/(6 + -1). Let y = d - -35. Solve -y*j + 4*x - 28 = 0, x - 4 = 5*j + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = 0, 2*z - 10 = -5*r. Let i(d) = 12*d + 36. Is i(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s - 4. Let p be y(3). Suppose -a - p*a = -195. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v + 53*v = 5*f + 1553, 6168 = 4*v + 2*f. Is v a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34153101 is divided by 11384361.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/9)\/(((s*s\/(s*s*s\/s**(-21)))\/s)\/s) assuming s is positive.\nAnswer: s**(215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1352? (a) 10 (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**8*j)\/j)*j**3*(j**(1\/4)\/j)**24)**34 assuming j is positive.\nAnswer: j**(-748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/91, 0, -2\/5, 1472, 3\/11, -1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -332, -818, -1498, -2372, -3440?\nAnswer: -4702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*i - 57*i + 194*i - 923*i + 159*i + 2.\nAnswer: -1201*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 44*n**2 + 970*n + 4644. Give i(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16696, -33385, -50072, -66757, -83440, -100121?\nAnswer: -116800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 - -130496.\nAnswer: 130494.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.41 times -6114?\nAnswer: 320434.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.124846 * 0.09\nAnswer: 0.01123614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 2*l + 124, -4*l + 16 = 0. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = 6*r. Suppose -4*o - 183 = 3*d, -2*d - 135 = -5*o + 10. Let g = -63 - d. Calculate the greatest common factor of g and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/10515 and 1\/82017.\nAnswer: 410085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55678 and 3686.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1387, -3085, -5129, -7519?\n\"Answer: -173*r**2 - 1179*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -796 (base 16) in base 11?\nAnswer: -1506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 19*y**3 + 39*y + 27. What is the first derivative of z(p) wrt p?\nAnswer: 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68211613 is divided by 341058?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 + 31918008*k + 254689808672016 = 0. Calculate k.\nAnswer: -15959004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 1 - 22. Let s = h + -4. Let b be (-55)\/(-2) - 9\/18. Calculate the greatest common factor of s and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 753*b**5 - 270*b**2?\nAnswer: 45180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(2*x**3 + 8491 - 445*x**2 - 8491).\nAnswer: 4*x**3 - 890*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3 + 1 + 1. Let k(v) = v**2 - v + 5. Let z(b) = -21*b**2 - 16*b + 4. Let m be z(-1). What is m*k(o) - 4*s(o)?\nAnswer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3))**15*((m\/(m*m**(2\/11)\/m))\/m)\/((m\/(m\/m**11))\/m))**45 assuming m is positive.\nAnswer: m**(-9990\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.67 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143771123 or -143771124?\nAnswer: -143771123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-5)\/3) + 0. What is the second derivative of -6*g - r*g + g + 2*g - 6*g**5 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(343) + sqrt(343) + sqrt(343))*-2 + (-3*(sqrt(343) - (-3*sqrt(343) + sqrt(343)))*3)**2 + -3.\nAnswer: -42*sqrt(7) + 250034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, l: 5}. Give prob of picking 2 y and 2 l.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -7, -5, -2, 3 in ascending order.\nAnswer: -7, -5, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1774356910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740582423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486960033.\nAnswer: 3, 7, 23188573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = s + 6, 2 = -3*s - 2*s - 3*m. Suppose s*t + 60 = 6*t. Suppose -3*p = -6*p + 5*o + t, -2*p = -o - 10. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -44*l**2 - 14. Let o(r) = -r**2 - 24*r. Let f(p) = -p**2 - 20*p. Let n(h) = -6*f(h) + 5*o(h). Give v(n(i)).\nAnswer: -44*i**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 44*h**2 - h + 1. Let k = 6 - -9. What is the remainder when l(1) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164593?\nAnswer: 11, 13, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-13)*b)\/b**(-2\/25))**23)**(-9\/5))**(-18) assuming b is positive.\nAnswer: b**(-1110348\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6423910 divided by 5?\nAnswer: 1284782","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -5. Calculate the greatest common factor of 216 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 1281.\nAnswer: 16653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soo when three letters picked without replacement from osssssssooo.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctcyrrrtccucr. Give prob of picking 1 u and 3 c.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k + 1. Let m(v) be the second derivative of 8*v**3\/3 + 2*v**2 + 28*v + 8. Determine 14*g(x) - 4*m(x).\nAnswer: 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.7 + -30. Let a = 1.70000046 - v. Round a to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63199234*p**4 + 4*p**2 + 98971*p + 17 wrt p?\nAnswer: -1516781616*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9900)\/(-450) - (-2*1 + (4 - 4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0, -1.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299988 and 3224871.\nAnswer: 12899484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 3 = 9*u. Let b(j) = -4 + 7*j - j**2 + u - 7. What are the prime factors of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*d + 5, 5*w + 10*d + 11 = 7*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 0 + 2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 25. Let k be (-3)\/(-9) - (-10)\/z. What is the lowest common multiple of 1 and 2 - (k - 6) - -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 3 + 15. Find the third derivative of 9*z**6 + 3*z**5 + 4*z + 2*z**2 + o*z + 4*z**6 wrt z.\nAnswer: 1560*z**3 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, 8307, 4, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*z = 5*b + 135025, -45025 = -z + 5*b. 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 r be (-215)\/(-75) - (-4)\/30. What is the second derivative of 77*y**r - 77*y**3 + 4*y**5 - 4*y wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131231111 (base 4) to base 5.\nAnswer: 12343220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 - 2*u**2)*(-1 + 1 - 2) + (4*u - 2*u + 2*u)*(-2*u + 3 - 3) + 6*u**2 - 2*u**2 - 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12388267 - -37?\nAnswer: -12388230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 0 = -2*h. Let y be 4\/(-22) - (-114)\/22. Factor -6 - h*t + 16*t + t**2 + t**2 - y*t**2.\nAnswer: -3*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 + 163.01948. Let q = d - 0.02. Round q to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2, -4*z + 73 = z - 2*o. Let m(y) = -y**3 + 3*y**2 + 5*y - 2. Let a be m(3). Suppose -a - 19 = -4*k. Solve -3*g + k*g - z = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (0 - -6) + 2. Suppose -s = j*s - u - 41, -20 = -4*s + 4*u. What is the remainder when 51 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458006.565 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86417*q**3 + 939*q**4 - 86417*q**3 + 378*q wrt q?\nAnswer: 11268*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*r + 107*r - 1728. What is the remainder when 267 is divided by r?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -46 + 11 + 79.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*j = -27, 0*d - 45 = -5*d - 3*j. Suppose 3*a - d - 6 = 0. Find the second derivative of 7*m - 4*m + 4*m + 13*m**5 - 17*m**a wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 20*x + 3 = 0. Suppose -2*m + 103 = -3*h, 11 = -x*m - h + 138. Let r = 6 - 1. Calculate the remainder when m is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15\/22 - -2\/11. Let g be (-7)\/21*(7 - (-2)\/(-2)). Which is the closest to v? (a) -5 (b) 37 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11846 and -74145?\nAnswer: 85991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l - 19 = -f, 3*f = -3*l - 3. Let d(c) = -c**3 - 3*c**2 + 4*c - 2. Determine d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 265 + 37 = 0. Let h = -98 - x. Solve -9*u = -5*u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -608+97796\nAnswer: 97188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -4. Let u = c + -18.021. Let d = 0.024 + u. Round d to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:50 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5745714.\nAnswer: 2, 3, 13, 19, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5428537 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 465 - 464.49. What is the third biggest value in 2, 1, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -1.7. Put -0.1, p, 1\/2 in increasing order.\nAnswer: -0.1, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/15)\/(((-6)\/10)\/3). Calculate the common denominator of 121\/50 and (-5)\/(q*-10)*486\/4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*v = -58, 4*v = 4*c - v - 89. Is c <= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/30 - p**4\/6 + p**3\/2 - 2*p**2. Let i be v(2). Let u be -1 + i - (1 + 1). Is u smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-9) + 2\/(-6). Let a = -20 + 22. Let t be (a\/4)\/(-1*1\/18). Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 - 41\/4. Let o(a) = 5 - 8 + 140*a - 5 - 142*a - 7. Let k be o(v). Solve k*g = g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3831, -17047, -39075, -69915?\nAnswer: -109567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(sqrt(3) + sqrt(27)))**2.\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(208)) + (sqrt(832) + 0)*-1.\nAnswer: -24*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -633.3 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) + (sqrt(3) - (sqrt(3)*-3 + 0)))**2 + (sqrt(3) - (sqrt(108)\/sqrt(6))\/sqrt(6)))*3.\nAnswer: 3*sqrt(3) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w + 2*w**2 - 2*w**4 + 21*w + 2 - w**3 to the form j*w**2 + f*w**4 + k*w**3 + l*w + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 0.1 (c) 1 (d) -5\/4 (e) -52 (f) -0.02 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-4) + -3 + 1. Let c = 39 - 15. What is the lowest common multiple of 1\/(b\/(-12) - (-4)\/c) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 + -5.7. Sort 1\/12, q, 1\/6.\nAnswer: q, 1\/12, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11623417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:05 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391823*x**2 - 391823*x**2 - 139*x**3.\nAnswer: -139*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112355921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*z = -0*z + 12, 4*d + 2*z + 4 = 0. Let o(f) = f**2 - f - 1. Let w(j) = -j**3 - 2*j**2 + 3*j + 3. Calculate d*w(p) - 6*o(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16 + 13 - (-1786)\/(-5). Let f = -707\/2 - v. Find the common denominator of f and -41\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (-4 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 9*r + 0*r - 2*r - r + 2*r - 3*r + 5*r - r + (2 - 2 + 2)*(-2*r + 5*r - 2*r) - 2*r - r + 4*r in the form o + b*r and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17437399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -58 (c) -31\/2442 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*y = 6*y + 53, -y = r - 8. Solve -9*i + r*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-7.1\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.24 - -2.76. What is the nearest to 2\/5 in x, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -575*k**3 - k**4 + 530*k**3 + 658*k**3 + 1109*k**2 + 577*k**3 + 0*k**4 wrt k.\nAnswer: -24*k + 7140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1969*h**2 + 5*h + 15. Let q(s) = -513911*s**2 + 1306*s + 3918. What is -5*q(c) + 1306*z(c)?\nAnswer: -1959*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 0.583.\nAnswer: 7.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/234*1729\/(-266).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -1 + 5 - 41*i**2 + 2*i**3 + 49*i**2 + 10*i = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 111100111100100100101011?\nAnswer: 111100111100100100101110","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 j when two letters picked without replacement from {j: 3, o: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 5*r - 0 - 1, -o + 4 = -2*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9640150 and 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + -1 - (22 + -14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81\/145 - -2927\/6960. Calculate the common denominator of 31\/10866 and o.\nAnswer: 86928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**2 - 8*g**2 - 6*g**3 + (2*g**2 + 5*g - 5*g)*(-5*g - g + g) - 17*g**3 - 28*g + 28*g.\nAnswer: -33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*s - 54 + 49, 72 = -23*x + 4*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5272*t = -4*m - 5278*t - 124, 3*t = 5*m - 55 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1041606 and 864?\nAnswer: 16665696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let y = -2.6 + v. Let p = y - -0.6. Put -0.4, 0.3, p in decreasing order.\nAnswer: 0.3, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1605*h + 53070 - 15753 = -54168 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14237 = 965*n + 13748 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-24)\/(-16)*(5 - (-978)\/(-18))).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (0 - (-8 + 1 + 15)). Solve -2*p + b = 0, 3*u + 21*p = 19*p + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-5) - (-594)\/495 - (-69)\/115. Determine n, given that 0*n + 8\/7*n**g + 0*n**3 - 20\/7*n**5 + 0 - 6*n**4 = 0.\nAnswer: -2, -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o + 5. Let q(u) = 17*u + 11. Let s(m) = 6*q(m) - 13*y(m). Let a be s(-4). Is 3\/a*(92 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3 (b) -0.2 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 6*b**2 + 6*b + 9. Let m be d(7). Solve n + 12 = m*h, 3 = 2*n + 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-12 - -32) + -10) - -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6.75 * 0.1\nAnswer: 0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 1. Let p be b(-1). Let m(a) = -p*a - a**2 + 5*a. Let x(c) = 6*c. Let v(h) = -5*h. Let o(u) = 4*v(u) + 3*x(u). Give m(o(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129473*a**3 - 7*a**2 + 387*a - 3 wrt a.\nAnswer: 776838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 5, p: 2, o: 2, d: 2, f: 1, n: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -201 in 0, -53, -1\/2, -1, 3\/26?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 + 1. Let r = -13.5 + 14. Sort -1, a, r in descending order.\nAnswer: r, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270330 equal to 270330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -760*h**2*v**4 + 11*h**2*v + h**2 + 8*v**4 + 140 wrt v?\nAnswer: -9120*h**2*v**2 + 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f - 4. Let p be f - (3 - 2)*1. Solve -r - 6 = -p*c, 0*r - 3*r = 4*c - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34762, 69526, 104290, 139054, 173818?\nAnswer: 208582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 - 2*x**4 + 3*x**4)*(1 + 2 + 1) + (-3*x**4 + x**4 - x**4)*(1 - 2 - 2) + x**4 - 3 + 3.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3858, 3, 0, -4, 1, 2, -2 in ascending order.\nAnswer: -3858, -4, -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 264342*t**2 - 3436784*t.\nAnswer: 2*t*(t - 132184)*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852 by -6.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 3309*m**2 - 1660*m**2 - 1662*m**2 + 0 to n*m**2 + g + o*m and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-952)\/(-12) + -7 + (-23)\/(-3) - (13 + -3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-10868)\/(-57)))\/(10\/(-40))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -663663 (base 8) to base 6\nAnswer: -4441043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8798, -17825, -26968, -36227?\n\"Answer: -58*j**2 - 8853*j + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 1. Let z be o(5). Let d = 26 - z. Let x(r) = r**3 - 8*r**2 + 9*r - 8. What is the remainder when d is divided by x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/32 + -5 + (-2986)\/(-16). Calculate the greatest common divisor of q and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((30\/20)\/(-3))\/(-1))\/(-2*2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 + 4 + 1\/4*b**5 - 5*b**2 - 5\/4*b**3 + b = 0. Calculate b.\nAnswer: -4, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2. Let w be (0 - (-6)\/3)*4. Let n(c) = -w*c + 5*c + 5*c. What is n(g(u))?\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(110) + -3*sqrt(110)*-2)\/(sqrt(1000) + 2*sqrt(1000)*-5 - sqrt(1000)).\nAnswer: -3*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103533868?\nAnswer: 2, 29, 47, 202409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 25398*h**3 + 71698536*h**2 + 67563768090*h + 202046702949.\nAnswer: 3*(h + 3)*(h + 2821)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:04 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f*f\/(f\/(f**(2\/9)*f)*f))\/f))*f*f\/f**(-1\/5))**(-15\/2)*(f*f**(-2\/5)\/f*f)**(10\/11)*(((f\/f**(2\/15)*f)\/f)\/f)\/(f*f**2\/f*f) assuming f is positive.\nAnswer: f**(-1554\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 95471 to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -10, -4, 12, -9, 5 in increasing order.\nAnswer: -10, -9, -4, 1, 5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.32 - 49.42. Which is the closest to r? (a) -1\/7 (b) -2 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 3*t - 2. Let m be s(3). Let d = -21 - m. What is the remainder when 30 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86598, 86599, 86600, 86601?\nAnswer: 86602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*(sqrt(1377) + -2 + sqrt(1377)) - (sqrt(1377) - sqrt(1377)*-1)*-3)*-4 + 2)**2.\nAnswer: -267084 + 12960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v = 0. Suppose 6*p - p = v. Solve p = 4*m + 3*u - 10, -3*u + 1 = 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-4)\/l)\/l)\/l**19*(l\/(l\/l**(-11)))\/(l\/(l**5\/l)))**36 assuming l is positive.\nAnswer: l**(-1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.202 from -14068.\nAnswer: -14068.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 + 2*x**3)*(146 - 56 + 135)*(0 + 0 + 2).\nAnswer: 900*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 6, 3, -8, -26, 155, -3 in increasing order.\nAnswer: -26, -8, -3, 3, 6, 17, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*f + 2, -8 = -g + 5*f - 0. What is the common denominator of g\/(-7) + (-2550)\/(-924) and -59\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -318 or -317?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 2, x: 7}. What is prob of picking 2 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 14*o + 61. Give z(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 23 + 16 = 0. What is the tens digit of (l + -35 + 3)\/(1*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1*((-3)\/18)\/(18\/(-243))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 799 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 2. Let m(d) = 1. Let x(t) = -g(t) + 2*m(t). Let y(c) = c**3 - 14*c**2 - c + 29. Let l be y(14). Suppose 9*r = 14*r + l. Calculate x(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 9*x + 3. Let v be u(9). Suppose 2*k = p - 3*p + 4, 2*p + k = 7. Sort v, 2, p in decreasing order.\nAnswer: p, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*o - 11, 0 = -3*k + 3*o + 71 - 65 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*r + 15, 0*c = c - 4*r - 9. Let n = -9 - -9.2. What is the biggest value in c, -0.4, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19346 take away -0.0153?\nAnswer: 19346.0153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.5 + 30.74. Which is the third biggest value? (a) r (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*k = 741*k + 468 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -23*n**2 - 26*n + 23. Let p(y) = -1. Let f(a) = -b(a) - 3*p(a). Let m(q) = 8*q**2 + 9*q - 7. What is 6*f(k) - 17*m(k)?\nAnswer: 2*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -30012*((-780)\/(-40) + -20) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 5095*o**2 + 0*o + 2*o.\nAnswer: -5095*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -5. Suppose 3*p - 13 = -4. Suppose 2*d - p*n = 3*d + 8, 3*n = 3*d - 24. Is d less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 2}. What is prob of sequence ss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjxjjxjjx. Give prob of picking 4 x.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101010?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/8*(-16)\/(-590))\/(38\/19)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 9:54 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 3*g**2 - 3*g. What is b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/90)\/((-3)\/18). Solve 4 + 32 = 4*b - n*m, 3*m = -3*b - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13\/127, -3, 6\/59 in decreasing order.\nAnswer: 2, 6\/59, -13\/127, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19506 + 19505.6. What is the smallest value in -4, t, 41\/63?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113215 + -206?\nAnswer: -113424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -4*n**7\/105 + n**6\/20 + n**5\/6 - n**4\/4 - n**3\/3 + n**2 + 13*n. Let a(p) = 0. Calculate p.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 19 = 2*x, 2*a - 9 = 1. Let b be (-36)\/x*(-2)\/(-6). Let c be 148\/18 + b\/(-18). Solve 0*r - c = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 28117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 64526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2124 and 5262918.\nAnswer: 31577508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1.73, -0.09, -1\/6, -101, -1\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2412939285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6662 + 6661.9999998949. What is g rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2366 = -6*v - 2566. Is v != -823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.03129234678 and -0.1.\nAnswer: 3.93129234678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7. Let b = v + -0.5. Put b, 2\/7, -1 in descending order.\nAnswer: b, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*p + 10*p + 477360. What is p rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 3*z + 5 + 3*z**3 + 3*z to the form y + o*z**3 + n*z**2 + u*z and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 805 and 2352900.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 71 = -91. Find the third derivative of -344*g**s + 0*g**3 + 0*g**3 + 322*g**4 + 6*g**2 wrt g.\nAnswer: -528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -12. Suppose -5*u + w*u = 15. Suppose 6*g - 3*g + u*z = 21, 4*g - 28 = 2*z. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1768510 - -14?\nAnswer: -1768485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -200 + 191, 8*f + 339 = -3*c - 62 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27752300 and 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14340*s**3 - 1243*s**2 - 5826604*s wrt s?\nAnswer: 86040*s - 2486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b - 3. Let y(k) = -k**2 - 5*k - 3. Let a be y(-3). Let z(t) = 13*t - 9. Let m(n) = 0 - 3 + 4. Let l(g) = -2*m(g) - z(g). What is a*l(i) + 7*r(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*d + 8, 0*c + 8 = 4*c - 4*d. Let y be (6 - 1) + (0 - c). Suppose 2*t + 12 = y*t. Solve v = -v + t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (787 - 1)\/3 - -2. Let s = k - 186. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-2))\/(7\/14). Suppose y + 4*z - 16 = 0, y + 11 = 3*y + z. Solve -y*p = v - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbbbbrrbbrbrrr. What is prob of picking 1 b and 3 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 2, a: 2, n: 1}. What is prob of sequence npa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*z - 17, -4*b = -z + 183 - 170 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168 divided by -251?\nAnswer: -1168\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j. Let w(c) = -505*c**2. Calculate w(r(p)).\nAnswer: -163620*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 24875*j**2. Let g(z) = z**2. Calculate g(m(u)).\nAnswer: 618765625*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + 13*u - 10*u + 2*u with respect to u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 5)*(0 + 2 - 1) + 2 + 3 - 3 + (-2 - 1 + 2)*(1 - 1 - 2))*(0*a**2 - a**2 - a**2).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2. Let a be 3 + 0 - (-3)\/(-1). Suppose -4*p = -a*p + 3*m - 19, -3*p + 24 = -m. Let c(s) = 2*s + 2*s + s - p*s. What is c(w(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by 221837?\nAnswer: -304\/221837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x*x**(1\/5)*x*x**(5\/2)*x**9)**39)**(-27) assuming x is positive.\nAnswer: x**(-91611\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*r - 2*t - 0*t + 4, 1488*r - 1486*r + 18 = 4*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -323, -2, 1, -11, -54 in descending order.\nAnswer: 3, 1, -2, -11, -54, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 243943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*v - 5 = 0, -5*v + 16 = -4. Let j be 5\/1 - (-5 + 3). Suppose n + 7 = a, -19 = 3*a + 7*n - 2*n. Put a, j, c in descending order.\nAnswer: j, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346169641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (9 + -6)) + 24 + (7 - 15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(4\/(-4068)). Let p be (-5)\/((-15)\/j) + 2\/(-1). Suppose 3*s + 2*s - 2*f - 566 = 0, p = 2*s - 2*f. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**7\/1260 + 11*f**6\/360 - 85*f**4\/6 - 233*f. Let h(j) be the third derivative of r(j). Factor h(v).\nAnswer: -2*v*(v - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41112, -41104, -41090, -41070, -41044, -41012, -40974?\n\"Answer: 3*l**2 - l - 41114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 116168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -88)*(-2 + 5 + -4). What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27662a5 (base 12) to base 16\nAnswer: 77c41d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 + 11*d**3 + 0*d**2 - d**2 + 13*d + d**2. Suppose -25 = 17*p - 76. Let q(y) = -5*y**3 - 6*y - 1. Determine p*u(z) + 7*q(z).\nAnswer: -2*z**3 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from suuussss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4.2. Let o be (-18)\/(-8) + 0 - (-37 - (-5364)\/144). Which is the third biggest value? (a) 3 (b) -0.06 (c) h (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 3150453?\nAnswer: 3150450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 5*h + 18*t + 4626, -1828 = 2*h + 4*t. List the prime factors of -4 - ((-2 - 3) + h).\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 17. Let s be (-3)\/5*-1 - 1. Which is the biggest value? (a) -1\/4 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98729 (base 10) to base 15.\nAnswer: 1e3be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Let u(i) be the second derivative of i**4\/6 - i**3 + 2*i**2 - 12*i. Give u(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 182, 0, -952448?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 8*w**2 - 8*w + 10. Let a be f(7). Calculate the remainder when (21\/9)\/(a*(-3)\/(-27)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11990 and 4707710.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from jooc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/6)\/5*6. Let p be (0 - (2 + r))*5. Suppose z - 2029988 = -f - 2*z, -3*z - 10150012 = -p*f. What is f rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10633 and 868.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634\/(-90) - 2578\/(-58005).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65657 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c - 162. What is m(0)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 7*g**2 - 6*g - 2. Let w be t(6). Let z be w\/3 - (-15)\/9. What is the remainder when 9 is divided by 5*-2*z\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -66 + -a?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**4 - 24505*v**3 + 96765*v**2 + 5755165*v - 5827430 = 0.\nAnswer: -14, 1, 17, 4897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 - f**3 + 2*f**3 + (-4*f**2 + 5*f**2 - 3*f**2)*(-f - 3*f + 0*f) + 0*f**3 + f**3 + f**3 + 2*f**3 + f**2 - f**2)*(f - 2 + 2).\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 52 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (7 - (4 - 1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195 + -1563\/8. Suppose -7*z = -2*z - 65. Let s be (3 - 5) + -3 + 5. What is the nearest to s in q, 2\/7, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdtd when four letters picked without replacement from {t: 18, d: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*2\/((-126)\/7)*6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 1744 - 96 = -65*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-9 + 10 + 5)) + (10 - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 20 (c) 12.851\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10*288\/1280)*36\/(-200)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s - 12. Let k be d(-7). Let l(n) = -86*n**3 + 2*n**2 + n. Let c be l(-1). What is the highest common factor of k and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5826\/(-16507))\/(5\/68).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d + 11. Let q(r) = 20*r - 144. Let o be q(7). Let p(t) = -6*t + 6. Let b(x) = o*j(x) + 7*p(x). Give b(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**3 - 82*g**2 + 104*g + 14. Let r(q) = 27*q**2 - 20*q - 6*q**3 + 0*q**3 - 14*q + 3*q**3 - 4. Let p(m) = -7*r(m) - 2*z(m). Factor p(i).\nAnswer: 5*i*(i - 3)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjjjjjjjjjjjqq. What is prob of picking 1 j and 3 q?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*16*18\/71064)\/(7\/(196\/8)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1601*y**2 + 2609*y**2 - 1376*y**2.\nAnswer: 2834*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 - (3 + (0 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*l + 10, -4*z - 2*l = -2*z - 14. Suppose -2*v + 2*g - g = 1, z*g + 4 = v. Sort 5, v, -4.\nAnswer: -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -10.7, -4, 2757?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 18 - 15*w + 6*w - 17*w. Is r(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 20, 55, 106, 173, 256?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 - -8 - (-4 + 16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 197 = -68. Let u be (-1 + 1)*1\/(-2). Suppose 54 = -u*x + 3*x. What is the remainder when m is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48130 by 9626.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d - 10*d - 364 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-8)\/10 + 1539\/405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:21 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43\/115 + 4\/23. Let l = r - -2\/5. Let z be 0\/((-5)\/2*(-24)\/(-30)). What is the nearest to z in -2\/5, -1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743\/12 + (-11)\/44 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, -6, -9 in decreasing order.\nAnswer: 4, 1, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 - (2 - -93). Let i(y) = y**2 + 53*y + 528. Let n be i(-20). Let b = l - n. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-126810009)\/(-45) + (-8)\/40. Round m to the nearest ten thousand.\nAnswer: 2820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 871*x**3 + 189222*x**2 + 191840*x - 380192.\nAnswer: (x - 436)**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9719, 17, -11, 4, 0 in increasing order.\nAnswer: -11, 0, 4, 17, 9719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -41\/4*o**4 + 27 + 0*o**2 + 0*o + 8*o**3. Find the third derivative of t(b) wrt b.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (10 - -41 - 46).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3297 = 3297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059075474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -9*r + 76. Calculate the common denominator of 59\/15 and -362*(-1)\/1020 + (-6)\/r.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385.18 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in -0.3, 2125, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71638447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express 29*v**3 + 25*v**3 + 3*v**3 + 4*v**2 - v**2 - 1 - 23*v**3 as m*v**3 + c*v**2 + u*v + r and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.4 (b) -164 (c) 3\/7 (d) -3\/5 (e) 13.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185456035 - -0.6697?\nAnswer: 185456035.6697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*y**2 - y - 52*y**2 + y - 108*y**2 + 226*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d3 (base 15) in base 6?\nAnswer: -5030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -177690? (a) 0.2 (b) -1\/9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Let n(v) be the first derivative of -v**b - 4*v + 1\/4*v**4 - 1 - 2\/3*v**3. Determine n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 15) to base 7\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 + 26*o - 39. Let x be r(9). What is x rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-608)\/3192*(-18)\/(-120)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135 - w**2 - 13*w + 135)*(-4*w - w + w) to a*w**2 + i*w**3 + n*w + b and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9244323 litres?\nAnswer: 924.4323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2205 = 5*n + 3*c, -3*n + c - 4*c + 1329 = 0. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, -2.614, -4?\nAnswer: -2.614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:12 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -383.8721 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -0.0751?\nAnswer: -0.5257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 + 3. Let h = -1312.83 - -1318.83. Which is the biggest value? (a) h (b) 2 (c) s (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 409386\/(-138663) - 52\/(-18)\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 2*f + f + 2*f + 0*f - 5*f + (3 - 1 - 1)*(-3*f - 2*f + 3*f) - 4*f - 5*f + 7*f as a + q*f and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -1\/6*q**6 + 0*q**5 + 0*q**2 - 1\/12*q**4 - q + 0*q**3 + 0. What is the third derivative of f(y) wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, p: 4, f: 2, e: 1, s: 1}. What is prob of picking 1 s, 1 f, and 1 p?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*y - 116*y = -90 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -z + 28, 92 = 4*z + 4*y - 6*y. Is 6 a factor of z - ((-2 - -2) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -412514*v + 412521. Calculate x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-2)\/(17\/(-51)*-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6) + -1 + 5 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 18 = -2*k + 4*g, 5*g = -3*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -196295, -6, -167 in descending order.\nAnswer: -6, -167, -196295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 5 + 5 + (0 - 1 - 1)*(-3*k - 3*k + 5*k) to the form i*k + v and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 1. Let z(l) = 1 - 12896*l**2 - 1 + 25807*l**2 - 12907*l**2. Give z(o(w)).\nAnswer: 16*w**2 - 16*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/7)\/d)\/(d\/((d*d**2*d*d*d)\/d)))\/(d**(-5)\/(d*d**6))*((d**0*d)**(-28))**14 assuming d is positive.\nAnswer: d**(-2638\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -141666?\nAnswer: 142005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-28))\/((-28)\/560)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4058 + -3720. Calculate the highest common divisor of w and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**(2\/29)*m*m*m)\/m)\/(m*m*(((m*m\/(m\/(m\/(m*m**10))))\/m*m)\/m*m)\/m)*m**(-3\/2)\/m*m**(1\/11) assuming m is positive.\nAnswer: m**(6801\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 2. Let w = y - -10. Factor -2 + 5*j - 2*j + 7*j**3 - 8*j**w.\nAnswer: -(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l**2 - 2*l + 2. Let o be b(1). Let h(j) = j**3 - 4*j**2 + 3*j + 5. Let g be h(5). What is the highest common divisor of g and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 30972758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -3)\/1*-1. Suppose -v*l + 10 = -18. What is the highest common factor of l and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(32)\/sqrt(4)) + sqrt(21) + (sqrt(210)*2)\/sqrt(10))\/((sqrt(21) - sqrt(42)\/sqrt(2))\/sqrt(7) - -1*sqrt(15)\/sqrt(5)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1630*c**2. Let p(x) = 5*x. What is p(l(d))?\nAnswer: 8150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5829 divide 876769035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*k + 8, -5*a = 4*k - 2*k + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose 0 = -4*j - b + 16. Let -5*m + 0 + 4*m + 4*m**2 + 1 + m**j - 5*m**2 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76262 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 + 789. Let t = 562.71 - z. What is t rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(-2\/17)\/(l**0)**(-7\/11) assuming l is positive.\nAnswer: l**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/4 - 243*t**2 + 3*t\/4 + 243.\nAnswer: -3*(t - 1)*(t + 1)*(t + 324)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71877359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 4*h - 6, -2*h - 10 = 5*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s. Suppose 0 = 9*v - s*v + 18. Let c be v + 2 - (-2 - -1). Solve -3*t - 2*t - u = -5, 3*u = t - c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:03 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 181*r**5\/30 - 1133*r**4\/12 - 25*r**2 + 9. What is the second derivative of y(x) wrt x?\nAnswer: 724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 28*h = 23*h + 3694, -4*f + 4*h - 3696 = 0. Let z = f - -952. Is z bigger than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:51 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55270352737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:10 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 4*a**2 - 4*a - 5. Let i be c(5). Let z = -56 + 57.32. Let d = z - 0.82. What is the second smallest value in d, i, -2\/5, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13*p**3 + 19*p**2 - 11*p + 5. Let z(t) = -20*t**3 + 28*t**2 - 16*t + 8. Let b(g) = 8*j(g) - 5*z(g). Factor b(q).\nAnswer: -4*q*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*o**5*r - 32*o**5 + 3*o**2*r - o**2 - 613*o*r wrt o?\nAnswer: -7380*o**2*r - 1920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(4 - (0 - -3)). Solve f = -y + 4 - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53, -88, -123, -158, -193, -228?\n\"Answer: -35*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + 2*sqrt(10))\/sqrt(2) - (sqrt(30)\/sqrt(3))\/sqrt(2)) + (sqrt(5)*-2 + 1)*-3 + (sqrt(160) - sqrt(160)*-1)\/sqrt(2)*-1*5.\nAnswer: -32*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -161. Let n = -69.98 + a. What is n rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 140, 193, 232, 251, 244, 205, 128?\n\"Answer: -k**3 + 2*k**2 + 62*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(368\/160)\/((-5)\/10)*5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/21)\/(2\/21*1). Are -6 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7*g - 1292 - 868 = 0. Calculate the lowest common multiple of g and 580.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**2 + 179*d - 144. Let k be f(29). Put 10, 0, k, 5, -28 in ascending order.\nAnswer: -28, 0, k, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - -2cd?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -15*r - 1. Let g(n) = -2. Let x = 249 + -250. Let d(c) = -c - 4. Let w(m) = x*d(m) + 2*g(m). Give w(q(o)).\nAnswer: -15*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 19*u**2 + 5*u - 5. Let b be s(10). Let v(z) = 17*z**2 - 7*z + 6. Let h be v(5). Let y = b + h. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57737 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qonoxoodxxoddononm. Give prob of sequence mn.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g, 10 = 2*x - 73*g + 69*g. What is the greatest common divisor of 15 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 + 32*z**4 - 80*z**3 + 64*z**2.\nAnswer: -4*z**2*(z - 4)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-7) + 64 + 2. Let l = 322 - 296. Calculate the greatest common factor of l and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4668111163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67963, -67932, -67927, -67954, -68019?\n\"Answer: -p**3 - 7*p**2 + 59*p - 68014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(-160)\/(-96).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**3 - 3*v + 0*v**3 - 3*v wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 + 4 = 0. Suppose 0 = z*g + 6 + 3. Suppose -3 = 2*f + h - 2, 5*h + 10 = -5*f. Put g, f, -2 in decreasing order.\nAnswer: f, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/13 - 464*r**3\/13 - 19930*r**2\/13 - 38476*r\/13 - 19008\/13 = 0?\nAnswer: -176, -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.142042 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -218, -330, -444?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 787876 from 110245977.\nAnswer: 109458101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 226 = 4*k. Is k greater than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 6. Let t(s) = s - 9. Let j be t(9). Suppose 2*d - 17 = -0*d + b*c, j = -d + c + 7. Solve -6*z + d*z + 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13*j**3 - 3*j**2 + 3*j + 3. Let c(d) = -390*d**3 - 91*d**2 + 91*d + 91. Give 91*a(h) - 3*c(h).\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359036 is divided by 17914?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/840 - k**6\/24 - k**4\/12 + 61*k**3\/6 + 126*k**2. Let o(m) be the first derivative of n(m). Determine o(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965 is divided by 202?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -664*q. Let s(p) = -26*p**2. What is v(s(r))?\nAnswer: 17264*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**5 - 6*k**4 + 61*k**2 + 3219*k wrt k.\nAnswer: 140*k**3 - 72*k**2 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1561018304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -0*f. Suppose f = 2*s - 5*t - 609, -4*s - 8*t + 1293 = -3*t. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11291544 and 1337985.\nAnswer: 2879343720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 18. Suppose -40 = -o*h + h. Let k(r) = -r**2 + 10*r + 5. Let v be k(h). Solve 5*y + v = 2*a, -5*a + 18 = -4*y + 3*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54631483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let i = 7 + -10. What is r(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 26*i**3 + 2*i**2 - 11*i - 4. Let x(w) = 9*w**3 + w**2 - 4*w - 2. Let o(g) = -3*a(g) + 8*x(g). What is the common denominator of o(-2) and -34\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 24036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2\/15, 61, 0.1, 4 in descending order.\nAnswer: 61, 4, 0.1, -0.08, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*m + 16*m - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*g + 16 - 45, 0 = -2*b - 5*g - 21. Let w = 29.56 - 30.06. Sort b, w, -3.\nAnswer: -3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4573 is divided by 613?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.11 times -133228\nAnswer: 147883.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161852 by -161852.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 115*q - 3928. Calculate i(-141).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 21 = 3*f - 0, -33 = -4*n - 5*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0*t**3 - 86*t + 0*t**5 + 3\/4*t**4 + 0*t**2 - 1\/30*t**6 + 0. Factor j(d).\nAnswer: -d**2*(d - 3)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, n: 6, p: 4}. What is prob of picking 2 n and 1 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 1:21 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2494561, -2494562, -2494563, -2494564, -2494565, -2494566?\n\"Answer: -y - 2494560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 41 + 358*w + 1099*w + 301*w)*(2*w - 2*w - 2*w).\nAnswer: -3516*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 27. Let j(x) = -x**3 + 9*x**2 + 5*x - 8. Is j(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evvvvvve. What is prob of picking 3 v?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 50*k**2 - 62*k - 3224. What is j(-50)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 890 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 22 - 47 = 4*k, 2*k + 20 = 2*i. Sort i, -5, 0, -7, -2 in decreasing order.\nAnswer: i, 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 53, -3, -5 in decreasing order.\nAnswer: 53, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -413 and -2?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 38*l - 327. Let z = 7 - 4. What is the remainder when (-510)\/(-9) + (-2)\/z is divided by w(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 48*a**2 + 44*a - 11. Let m be j(-47). Solve -58*i + 32*i = -m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/168 - 5*o**4\/24 - o**3 - 2*o**2. Let u(a) be the first derivative of f(a). Differentiate u(w) with respect to w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -9, -10, -1, 24, 71, 146, 255?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -10) + -12 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from bememmemregmemegb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n = -21*n - 27*n - 9152 for n.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -277 + 41. Let o(n) = 3*n + 2 + 14*n**2 + v*n**2 + 0*n - 27*n**2. Let t be o(-1). Calculate the highest common factor of t and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -216?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = -1, -32 = -3*w + 4*p. Let t(x) = x**3 - 13*x**2 + 11*x + 15. Let s be t(w). Solve 35 = -3*b + 3*u + 14, 17 = -2*b + s*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.831392 + -11140.57.\nAnswer: -11108.738608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14497 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {q: 2, a: 2, e: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073 is divided by 3062.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 41. Let h be o(8). Let d(w) = 706*w + 19. Let l be d(h). Suppose -1657 - 2178 = -3*y + u, -3*u + l = 5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145745.\nAnswer: 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28414, 36928, 45442?\n\"Answer: 8514*p + 19900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*m + 245*m - 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 2*u - 4*u)*(-u - u + 3*u - u - 4*u + 6*u + (-2 + 2 + u)*(0 - 4 + 2) + 4*u - 4*u + 2*u) - 1 + 1 - u**2 to w*u**2 + k*u + t and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-260)\/65 + (1 + 6 - -2). Let f(a) = -5*a**3 - 4*a**2 - 2*a + 1. Let d(p) = -6*p**3 - 5*p**2 - 2*p. Determine z*f(k) - 4*d(k).\nAnswer: -k**3 - 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 - 5*d. Let h(n) = 123*n + 5 + 127*n - 253*n. Calculate h(v(f)).\nAnswer: -3*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -0.4 (b) -2 (c) 2\/7 (d) 705 (e) -0.2 (f) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10294.869 - 10306. Let j = 10.38 + k. What is j rounded to 2 decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 21*k + 50 = 0. Calculate the greatest common factor of 62 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 + (-1 - 1). Let i(o) = o**3 + 4*o**2 + 2*o - 2. Let u be i(y). Suppose -2*j - u + 8 = 0. Solve -2*g + 2 = -j*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/3)*a*a**(-8)*a)\/(a**(-13)\/a*a)**13 assuming a is positive.\nAnswer: a**(484\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.9261 milligrams to nanograms.\nAnswer: 602926100","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -385771 divided by -6?\nAnswer: 385771\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (109 + 112 + 154150*r + 107 - 328)*(-3 + 2 + 3) in the form o*r + i and give o.\nAnswer: 308300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218118*i**2 + 18007*i + 133 wrt i?\nAnswer: -436236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 125.5 + 24.5\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -685*y**4 + 1086*y**2?\nAnswer: -16440*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 290*a**3\/3 - 136*a - 257. What is the derivative of l(c) wrt c?\nAnswer: 580*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7191 + -7190.967921. Let t = -0.032 + f. What is t rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/5 + 4476*o**3\/5 - 1777122*o**2\/5 - 829102456*o\/5 - 46711394496\/5 = 0.\nAnswer: -216, -68, 1261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102678 is divided by 2775.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -12*x - 10150000. Round x to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-19 - -11)*4\/2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-4*l**2 - 2*l**5 + 4*l**2) - 13*l**5 - 7*l**3 + 7*l**3 + (-l**5 + 0*l**5 + 0*l**5)*(1 + 0 + 2).\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = -5*l - 7, 3*o = -3*l - 3. Factor 0 - 2\/9*p**o + 4\/9*p**2 - 2\/9*p.\nAnswer: -2*p*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*k + 24190 = -13834. What is the lowest common multiple of 49 and k?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 271 = 4*s - 223, 5*s - 2*b - 624 = 0. Let f(j) = s - 124 - 2*j**2. Let p(i) = -5*i. Calculate f(p(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44457469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2343067 (base 9) to base 8.\nAnswer: -4655451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 2, -40*i - 40*i + 3*n = -82*i + 23 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2052 - -5688. Calculate the highest common divisor of 288 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20672, -20669, -20666, -20663, -20660?\n\"Answer: 3*w - 20675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*y + 15, -5*f - 1 = 2*y - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1091 + 1093. Calculate the remainder when (-13)\/(-5) + (-12)\/(-30) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + sqrt(245)*-2) - sqrt(245)) + -2)**2 + sqrt(245).\nAnswer: -21*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15090*z + 20995 = 15103*z. Calculate the remainder when z is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32320*f**3 + 891*f**2 - 6*f + 2 wrt f.\nAnswer: -193920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, a: 2, s: 3}. Give prob of sequence usuu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f - 17 + 20*f**3 - 6*f**2 + 0*f - 10*f. Let k(y) = 2*y - 18. Let b be k(12). Let z(x) = 7*x**3 - 2*x**2 - 6*x - 6. Calculate b*w(m) - 17*z(m).\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/7 - 5142870*f**2 + 162000828001056*f\/7 - 162000792000968\/7 = 0?\nAnswer: 1, 9000022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -59. Let v(d) = -3*d - 3. Let o be v(-3). Which is the closest to 1\/4? (a) o (b) 4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 - 5*b**3 + 0*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745021067 to the power of 1\/3, to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (522 + 310*o - 522)*(o + 3*o - 5*o) - o**2 - o**2 + 12*o**2 to w*o + s + l*o**2 and give l.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/900)\/((1\/(-5))\/(16\/(-30))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1322.08 + -5.92. Let p = -1440.6 - z. What is p rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 3*d**2 + 2*d - 1. Let o = -9 - -13. Let i be c(o). Let v be (-2)\/(-6) - i\/(-27). Does -2\/17 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/13 (b) -42 (c) 53 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 3*v + 2*v + (-5 - v + 5)*(2 - 2 - 2).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -277, -6, 4 in decreasing order.\nAnswer: 4, -1, -3, -6, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116303?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135579638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 5*d**2 - 6*d + 8. Let i be y(6). Suppose i*u = 5*u + 6. Suppose r = -m + 4, 0 = r + 4*m + u. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 127*c - 2286. Give g(16).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 362579*f**3*h + 21*f**3 + 5*f**2 + 106 wrt h.\nAnswer: 362579*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116068903*h**3*j - 673*h**2 - 4324*h*j + 2*h + 5*j wrt h.\nAnswer: -696413418*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a + 396 = 57*a - 99*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*x - 5. Let m be -2*((-12)\/x)\/(-3). Suppose 0 = m*s - 15 + 3. Calculate the highest common divisor of 27 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2787580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -774 (base 16) to base 3.\nAnswer: -2121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2. Suppose 2*z - 470 = 2*u, -697 = -3*z + 5*u - 10*u. Let s(d) = z*d - 132*d - 152*d. Determine s(c(l)).\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0616 * -1715\nAnswer: -105.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/72)\/(1*-1). Sort 33, z, 0 in increasing order.\nAnswer: z, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 3*h - h**2 - 2*h**2.\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) -0.5 (b) 3 (c) -0.4 (d) -5 (e) 20211 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4038187 to the power of 1\/2, to the nearest integer?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 477 + 265. What is the second derivative of 20*o + u*o**4 - 742*o**4 + 2*o**5 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.34 - -9. Let c = x + -0.21. Which is smaller: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d*(d**(2\/3)\/d)\/d))**(-43)\/(d**(1\/2))**(5\/4) assuming d is positive.\nAnswer: d**(673\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111632 is divided by 37204.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/95 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 3*sqrt(102)*3 - 4*2*sqrt(102))*3)\/((2*sqrt(324))\/sqrt(6) + (sqrt(648)\/(sqrt(24)\/sqrt(2) + sqrt(12)) - sqrt(54))).\nAnswer: -32*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747325.3 years to centuries.\nAnswer: 7473.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1992.3 + -1995.3. Let i be -9*-2*(-1)\/(-2). Let t = 44\/5 - i. Which is the biggest value? (a) 0.3 (b) 0.15 (c) t (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10614 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3861 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/35))**(3\/5)\/(w**10*w*w\/w**(-4\/15)))**(-45) assuming w is positive.\nAnswer: w**(17484\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(48\/(-23)) + (-1)\/6. Let x be (-8)\/r - 5 - (11 + -18). Solve 2*w = -t - 0*w - x, -4 = -5*t - 4*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*q - 421 - 219 = 44 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 103 = -0*v - 3*v, -4*v + 5*s + 139 = 0. Let n = 81 - v. Calculate the highest common divisor of n and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-48) - 51\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0.2, -4702, -0.12, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2643599 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 - 152 - 59 = -9*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2767428 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34072957, -68145914, -102218871, -136291828?\n\"Answer: -34072957*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 4*u**2 + 8*u**2)*(1 - 1 + 2*u)*(-2415 + 2415 - 70*u).\nAnswer: -700*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 10*a**2 + 6*a + 6. Let n be h(10). Suppose 2*m = 4*i + 138, -2*m + m + 3*i = -n. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*n + 67, -62 = -n + y - 47 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -49 - (0 + -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21079247 rounded to three dps?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-5) - (0 - 2)*-1. Let a(v) = v + n - 7 + 0*v. Calculate a(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 0)*(-252)\/15. Let h = 89 - y. Solve -2 = 3*x - h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4745 - 53*d + 121*d - 33*d - 4748.\nAnswer: 35*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211.1 - 202. Let c = 10 - j. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69989 and 209967.\nAnswer: 209967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 9 + 7. List the prime factors of z + -4 + -1 + 48.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(90)\/sqrt(90)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (9 - -37 - 58).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 3*z - 2. Let i(k) = k**2 + k - 1. Calculate 8*i(q) - 3*p(q).\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((3\/3)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34909826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.91 times -8\nAnswer: 15.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/9 - 59*y**3\/9 + 464*y**2\/9 - 700*y\/9.\nAnswer: y*(y - 50)*(y - 7)*(y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from jsssz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1273220*g**4*u**3 + 3*g**4 - 184*g*u**3 - 2*g*u**2 + 8*g - 246 wrt g.\nAnswer: 15278640*g**2*u**3 + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 7881*b - 7884.\nAnswer: 3*(b - 1)*(b + 2628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4907, 4551, 4217, 3905, 3615, 3347?\n\"Answer: 11*p**2 - 389*p + 5285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1224 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17349025 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 2*y + 5*y = 12*v + 13, -18 = -3*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976657070?\nAnswer: 2, 3, 5, 89, 740321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4 + 16*d**3 - 4*d**2 - 24*d = 0 for d.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - 3*n - 2. Let p be z(-1). Let c(v) = 4*v**2 - 2*v + 9. Is 9 a factor of c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2107\/105)\/(-7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 2*i. Let j(t) = -2*t + 5. Let b be j(4). Let x(n) = 5*n + 1 + 0 - 4*n. Let s(h) = 2*h + 1. What is b*s(w) + i*x(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 17}. What is prob of picking 3 a?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvfs when four letters picked without replacement from jsvvjsvvsjvjvsfj.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(1\/1))\/((-274)\/(-137)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 12549?\nAnswer: -2\/12549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(1 - (-1 - -2)). Let n = p - -2. Is n - (0 + 0) - -40 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -311 - 380538?\nAnswer: -380849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -2)**2 + -4 - sqrt(343) - (sqrt(343) - (sqrt(343) - (-2 + (sqrt(343)*-1 - sqrt(343)))) - sqrt(343) - sqrt(343)).\nAnswer: -7*sqrt(7) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4160 (base 15) in base 7?\nAnswer: -4264140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(375)\/sqrt(3))**2)*3.\nAnswer: -375 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*v + 4, 5*f = 5*v - v + 14. Let r = v + 1. What is the derivative of r + 1 + 1 - m**4 wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -464629.906 to the nearest 10.\nAnswer: -464630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153) + 1)**2 - -1*sqrt(153)*5.\nAnswer: 39*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 - 11)\/(2\/(-3)). Let g(d) = d**2 + 6*d. Let b be g(s). Solve 9 = 3*z - b*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + d + 2. Let g be r(-1). Let s(a) be the third derivative of -1\/180*a**5 + 0*a - 1\/72*a**4 + g - 2*a**2 + 0*a**3. Factor s(w).\nAnswer: -w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = -3. Suppose -5*u = -3*v - x, -5*u - 3*v + 7 = -v. Is -2\/15 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.099 - 281.95972.\nAnswer: -279.86072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p + 11. What is the units digit of s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u**3 + 3*u**2 - 4*u + 4. What is the units digit of h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21129, 42156, 63193, 84246, 105321, 126424, 147561?\nAnswer: 168738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77124649 to the power of 1\/2, to the nearest integer?\nAnswer: 8782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilometer in millimeters?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Suppose u = -m*u + 20. Suppose -2 = -h + 2*l, 4*h - 41 = -0*h - 3*l. Solve 0 = t - 2*c + 5, 0 = 5*t - u*c + h + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/((-5)\/(-30)). Let t(m) = -m**2 - 10*m - 4. Let n be t(x). Let q = -3 - -6. Solve 5*k - q*f = -1, 3*k + n*f + 0*f = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/22*1)\/(105*109\/3650955).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + -9. Let s = -32 - y. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z**2)*(3*z**3 + 0*z**3 - z**3) + 2*z**5 - z**2 + z**2 + 5*z**5 - 3*z**5 - z**5.\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, o: 2}. Give prob of sequence ao.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*z**3 - 25*z**3 - 4*z**2 + 4*z**2.\nAnswer: 113*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, e: 2, h: 3}. What is prob of picking 2 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3612122 litres to millilitres.\nAnswer: 361.2122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8e263 + -3?\nAnswer: -b8e266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/216906 and -28\/81.\nAnswer: 5856462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 - 129. Let d(c) = 29*c. Let x(g) = -23*g. Let i(z) = 4*d(z) + 5*x(z). Determine w(i(q)).\nAnswer: -5*q**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*w - 5*w + 116, 336 = 5*w + 4*d. Calculate the remainder when w is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/66 and 43\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.25 rounded to one decimal place?\nAnswer: -88.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/63)\/((-139)\/1946).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16 + 4*k + 10 - k - 11. Suppose -2*x - 36 = -6*x. Let j be a(x). Calculate the greatest common factor of j and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -410*z + 2476. Give l(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -482242 - -1505973. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2)\/((-1)\/4). Solve -4*h = w - 20, 4 = -3*w + v*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -37. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -30*n + 32*n - 21, -h - 60 = -5*n. Solve -2*v = -m + 14, 2*v + n = 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1352 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -115. Which is smaller: j or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 2}. Give prob of picking 3 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 5)*(-9 + 3 + 14)*(l - 3 + 3 + (2*l + l - 2*l)*(-1 + 2 - 3))*(3 + 0 - 4) + (0 + 4 - 6)*(-l - 2*l + 5*l) as h + m*l and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11596170 divided by 5\nAnswer: 2319234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.74967 decades to millennia.\nAnswer: 0.4374967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 43. Let s = 49.1 + i. Let w = s - -1.9. Sort w, 0.1, 1\/11 in descending order.\nAnswer: w, 0.1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*j + 104492 = -277385, -3*h + 3*j + 572820 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.74?\nAnswer: -11.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17324 - -17329. Let j(r) be the third derivative of -1\/4*r**u + 13*r**2 + 20\/3*r**3 + 0*r - 1\/24*r**6 + 0 + 5\/4*r**4. Find i such that j(i) = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 15. Let a be (-24)\/(-36) + 7\/c. Solve -a*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3) + (-2)\/6. Let u be 2*p*1\/(-6). Let z be 1*(3 - (3 + 0)). Are z and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 464*p - 3702. Suppose 2*h - 3*h + 2*z + 22 = 0, -16 = -h + 4*z. Calculate the smallest common multiple of h and q(8).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 2388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -31*c + 697. Give b(21).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-910)\/260)\/(6\/4))\/(1\/(-9)). Let l be 21 + 3\/4*4. Which is greater: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2119698, 2119709, 2119730, 2119761, 2119802?\n\"Answer: 5*r**2 - 4*r + 2119697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 2, l: 1, f: 1}. What is prob of picking 1 g and 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32395.18 minutes to seconds.\nAnswer: 1943710.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 6052420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/5)*x))\/x*x**(-2\/29))\/(((x*x**(8\/17)*x)\/x)\/x**(-34\/3)) assuming x is positive.\nAnswer: x**(-101111\/7395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25 = 23. What are the prime factors of (2 + w\/(-3))*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 + 7*m**3\/6 + 2*m**2 - 10*m - 4. Suppose -l - 6 = -0. What is u(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -145*p - 908*p - 31083 - 18403 - 58973 for p.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - 2*q**2 + 1. Let x = -1416 - -1417. What is k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 22 = -d - 2*i, 2*d + 5*i + 29 = 0. Let j(b) = -b**2 - 6*b + 6. Let r be j(-7). Is r + 0 - (d + 0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/3))**(-46)*(x**(-1)*x)**(4\/5) assuming x is positive.\nAnswer: x**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3738*q**2 + 88*q - 23. Is w(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*h + 3*r - 24, 4*h = 5*r - 60 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17327?\nAnswer: 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(180\/19747) + -3 + 1. Let h = 547\/5 + i. What is the common denominator of (1\/(-28))\/(1\/198) and h?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7162 and 131464.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26996365 is divided by 2039?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 535.974056 - -0.2.\nAnswer: 536.174056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172713000 rounded to the nearest 100000?\nAnswer: 172700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/4 - 67*d**4\/4 - 140*d**3 + 5200*d**2.\nAnswer: -d**2*(d - 13)*(d + 40)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 58 - 0 - (-15 - (-21 + -36) - 31)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(84)\/sqrt(3) + 5 + -3*sqrt(7)*2 + -4))**2*1.\nAnswer: -10848 + 768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11988719213 - 11988719128.80000127. Let q = 84.2 - t. Round q to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = 0. Suppose b = -l - 2*l. Suppose 2*m = 5*y + 205000, -5*y + l*m - 2*m = 205000. Round y to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12614?\nAnswer: 2, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*l + 23 - 35 = 0, l = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*h + 36. Let p(x) = -x**3 + 21*x**2 + 4. Let i be p(h). Suppose 1612 = i*k + 84. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 12234010?\nAnswer: -12234020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1476*24.\nAnswer: -27.5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -111. Suppose -5*w + 3 + 2 = 0, 54 = -p + w. Let s = t + p. Is 1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119837779?\nAnswer: 119837779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 - (-5586)\/(-76))*-48 + -6 + -1.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -147*p**2\/2 + 36*p - 12. Differentiate k(w) wrt w.\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/8 - 153*h**2\/8 - 12369*h\/8 - 206615\/8.\nAnswer: (h - 215)*(h + 31)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + sqrt(2736)) + (sqrt(2736) + sqrt(2736)*-3*1 - sqrt(2736)))*-6)**2.\nAnswer: -24192*sqrt(19) + 4826880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 42 - 42.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 98*j**2. Suppose v - 1 - 8 = -2*d, 0 = -3*d + 4*v - 14. Let b(r) = -16*r**2 + 28*r**2 - 14*r**d. Determine b(x(p)).\nAnswer: -19208*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 223282 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6590285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s + 49 - 0. Let t = 11 + s. Solve -3*j = j - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 24 = 3*m + m, 4*r - 33 = -5*m. Solve 5*u + 10 = 3*o, 0 = -3*u - 0*o + 2*o - m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 53 = 5*j, -2*m + 4*j - 48 = 30. What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111950 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:22 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttsssttttstttsmtst. Give prob of sequence tt.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2960 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -269414 divided by -134707\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*x - 1092 - 1584 = -975 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 + 4*c. What is the tens digit of r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1366337, 2732568, 4098799, 5465030, 6831261, 8197492?\n\"Answer: 1366231*p + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12903c (base 14) in base 5?\nAnswer: 130430111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 78. Suppose 0 = -3*l - 4*t, 4*l + r*t + 8 = 3*l. Suppose -4 = 3*a + 5*m - 99, 0 = m - l. Solve 0 = 5*s - a, y + 4*s = -15 + 38 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 22.8. What is the nearest to 0 in 0.5, d, -3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u)*(4*u**3 + u**3 - 3*u**3) - 792*u + 831*u + u**4 - 3*u**4.\nAnswer: 2*u**4 + 39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 16 = -4*a, -4*g + 6 = 2*a - 0*a. Let t(q) = -q + 11. Let m be t(a). Solve -3*j = -7*j - m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17946 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/7 + 3*t**2 + 95*t\/7 + 75\/7 = 0.\nAnswer: -15, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 + 20*p - 96 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 14110912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699.9583 years to millennia.\nAnswer: 0.6999583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 4*a)*(8 - 17 - 12) + (1 + 1 + 0)*(-a - 3*a + 2*a).\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 28 = -5*j, 4*j = j + 3*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10287*t + 13722857. Determine v(-1334).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -16. What is the greatest common factor of h and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27158720 divided by -8.\nAnswer: 3394840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 9*z**2 + 20*z - 7. Let g be w(-2). Solve -g*h - 4*j + 6*j = 4, -9 = 3*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*a + 19, -3*c - 4*a = -5*c + 30. Suppose -63 = -c*m + 8*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6054)\/(-2520) + (-3)\/6 + (-841)\/23548.\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 2*r + 9 = 0, -2*z = 4*r - 6. Let q(j) = -2*j**2 + 5*j - 3. Let c be q(z). Let h be ((-3)\/(-9))\/((-1)\/c). Solve h*s + 0*s = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418 a factor of 14476362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + (-90)\/10)*1. What is the closest to 1 in -0.2, 0.12, 5\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 2\/3*f**3 - 3*f**2 + 0 + 1\/24*f**4 + 0*f. What is the units digit of o(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, g: 2, s: 5}. Give prob of sequence lss.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 15*h**2 - 18*h + 75. Give d(16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-5\/6)\/u*u))**(-1\/10)*u**(2\/41)\/(u\/(u*u*u*u*u**(-4\/3))) assuming u is positive.\nAnswer: u**(3769\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*f**4 - 1426*f**2 + 10*f + 1426*f**2 in the form k*f**2 + s*f**3 + w*f + h*f**4 + l and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 10)\/(-3) - (-4)\/(-2). Solve -4*t - q*t = -30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24372)\/5416*1*1\/(-6))\/((-5)\/28).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -14.3. Let c = 192\/5 + -38. What is the third biggest value in -6\/11, c, b?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 59*f. Let b(i) = 521*i. Determine w(b(l)).\nAnswer: 30739*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 2, p: 1, k: 1, z: 2}. What is prob of picking 1 w and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26954?\nAnswer: 2, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163777 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 846.\nAnswer: 33840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204.384 - -0.384. Let a = -203.999999749 - r. Round a to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 23*x - 576. Let r(a) = -64*a + 1707. What is -17*b(h) - 6*r(h)?\nAnswer: -7*h - 450","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218074.\nAnswer: 2, 109037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 - 0.0879415418974.\nAnswer: -37.0879415418974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*s**4 - 10*s**4 - s**4)*(1 + 13 - 35) to q + r*s**4 + o*s**3 + x*s**2 + l*s and give r.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d + 9. Suppose -3*h = h. Suppose -5*x - 12 - 8 = h. Let v(s) = -3*s - 4. What is x*a(g) - 9*v(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwrvm. Give prob of sequence mw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48977259+-0.095\nAnswer: 48977258.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 5*v**3 + v**3 + (v**2 + v**2 - 3*v**2)*(-3*v + 3*v + v) + (0 + 2*v + 0)*(-95*v - 108*v - 308*v)*(2 + 1 - 1)*(0*v - 3*v + 2*v).\nAnswer: 2046*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*1\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 12 = -0*q + 3*q, -4*q - 5 = 3*a. Let l(s) = -2*s + 6*s**2 + 2*s - 1 + 2*s. What are the prime factors of l(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d\/(d*d**(-7)))**(8\/7))**2 assuming d is positive.\nAnswer: d**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {j: 2, h: 2, x: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 434.77 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruxr. Give prob of picking 1 x, 2 r, and 1 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197776224?\nAnswer: 2, 3, 686723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-15)\/(-35)) - (3 - -1). Find the third derivative of 19*y**2 - 5*y**2 - 39*y**m + 3 - 7*y**2 + 17*y**2 wrt y.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/4)\/((-35)\/(-44) + 216\/(-396))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcpdiccpdpdhppdi. What is prob of picking 1 d, 1 h, and 2 p?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16896232861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107649 is divided by 1894.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -41. Let d = -20301\/8 - -2544. Find the common denominator of d and (54\/72)\/(l\/(-84)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 570*d + 6338 + 4492 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 1400*p.\nAnswer: 5*p*(p - 280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073933 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 - 17*r**2 - 5*r + 5. Let p(s) = s**4 - 6*s**3 - 18*s**2 - 6*s + 6. Let z(k) = 6*l(k) - 5*p(k). Find the third derivative of z(i) wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 + -119. Let m be x\/(-2) - 1 - -10. What is the nearest to -6 in -1, m, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-5 + 4 + 2) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/3 - 10*i**3\/3 + 10*i**2\/3 + 10*i\/3 - 4 = 0. Calculate i.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 4*v**2 - 7*v + 10. Let d(i) = 3*i**3 + 10*i**2 - 20*i + 29. Let p(h) = -6*d(h) + 17*m(h). Give p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by -62.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 29*j - 8*j - 1 - 6 - 2 + j**2 as z*j + b*j**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*p**3 + 29*p**3 - 166*p**3)*(3 - 2 + 3 + (2 - 4 + 4)*(-1 - 1 - 9)) to z*p**2 + v*p + t*p**3 + c and give t.\nAnswer: 1782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 350920489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*9\/(-216))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and 33523.036.\nAnswer: 33522.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from ruiiu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1298 and -59\/66.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 101*i**2 + 3*i. Let t be o(1). Calculate the greatest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {q: 1, c: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -118, 1.5, 2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1105 and -1105 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l + 124. Let p be f(5). What is the closest to p in -2\/7, -3\/7, -1\/10, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87729793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4 = 2*h, 2*q + 33 - 19 = 2*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -236, -746, -1740, -3380, -5828, -9246, -13796?\n\"Answer: -27*n**3 + n**2 - 2*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-30)*-3*5\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.771 + 0.371. Let t = -3.995 + -0.005. What is the third biggest value in 0.4, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. Let z(k) = k**3 + 8*k**2 + 3*k. Let c be z(j). Suppose -4*s + q + c = 0, 4*s = -3*q + 7 + 13. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6526, 6925, 7302, 7645, 7942, 8181, 8350, 8437?\nAnswer: 8430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 14. Give z(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 7 + 83*a**2 - 3*a - 9.\nAnswer: 83*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -278, -334, -444, -626, -898, -1278, -1784?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 23*i + 26. Let c be o(22). Solve 0 = 4*u - q - 3, -2*u + c*q = 11 + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 9*b + 3. Let q be z(-12). What is the common denominator of q\/120 - 2\/4 and 65\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -14*z + 5*z. Let n(q) = 8 - 7 - z*q + 10*q - 5*q. Let r(c) = -3*c + 2. What is -6*n(k) + 5*r(k)?\nAnswer: 3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*p - 8*p + 5*p)*(38*p**3 + 355 - 355).\nAnswer: 2470*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -968*m**3\/3 - 461*m**2 - 1589. Find the second derivative of p(t) wrt t.\nAnswer: -1936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 43 + 14)*(2*z**4 + 0*z**2 + 0*z**2).\nAnswer: -62*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j - 4*l + 28, 40*l = -2*j + 43*l + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(19))**2 + 1) - (-2*sqrt(19)*-2 + 3).\nAnswer: 8*sqrt(19) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 9:32 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -975, -977, -979, -981, -983, -985?\n\"Answer: -2*x - 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 5*n + 9 = -4 + 5 - 47, 0 = 7*p - 5*n - 89 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 58 = 3*h + 97 - 53 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11122 or 1.4?\nAnswer: 11122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*-3*sqrt(7).\nAnswer: -18*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a, -10*a + 12*a - 16 = -4*w. Sort 2, -5, 8, w in descending order.\nAnswer: 8, w, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from {y: 6, e: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2114024592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*h = -3*m - 76*h + 9, 5*h - 45 = -3*m. Let d = -18.02 + 0.02. Let j = -0.07 - 0.03. Which is the nearest to j? (a) m (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210 + 210. Suppose -6*i = -5*v - 2*i + 2050, t = -3*v - i + 1230. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000089 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151816*q**2 - 811*q**3 + 1 + 151816*q**2 + 2*q to the form k*q**2 + f + b*q**3 + x*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 8*u - 48. Solve 0 = -5*z + u - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 258885663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.21 and 4799.9.\nAnswer: -87406.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -2\/21*y**3 + 3 - 18\/7*y - 6\/7*y**2. Find b such that z(b) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(147) + 0 + -1)**2*3 - (((sqrt(198) - sqrt(198)*2) + sqrt(198))\/sqrt(11))\/(sqrt(24)\/sqrt(4)*-3).\nAnswer: -2220 + 210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxrr when four letters picked without replacement from {x: 2, r: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -h + 45. Suppose -2*r + 12 = -4*m, 3*r + 0*r + 3*m = 0. Suppose 0 = 4*v - r*y - 10, -5*v + y + 6 + 5 = 0. Put v, -2\/11, h in decreasing order.\nAnswer: v, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = 2*l + 2, -4*s = 4*l - 32. Suppose -4*y + 8*y + 353 = -f, -y - 80 = s*f. Which is smaller: y or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 25*m**2 + 98*m - 304.\nAnswer: (m - 2)*(m + 8)*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28857 is divided by 9606?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/96991008 and 113\/12?\nAnswer: 96991008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 6*l + 3. Suppose q + 11 = a + 1, 0 = -3*q - a - 10. What is the units digit of v(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1\/(-3) - (-52)\/12. Find the third derivative of 3*a**2 + 12*a + 32*a**4 + 36*a**n - 3*a - 71*a**4 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-2)\/(-6)). What is the third smallest value in 3, s, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**2. Let v(k) = -170*k**2 - 335. Let m(y) = -14*y**2 - 28. Let t(h) = 25*m(h) - 2*v(h). Let l(c) be the first derivative of t(c). Give l(w(o)).\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-8))\/(11*39\/286).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 1 + 1 + (3 - 4 + 3)*(m - 6*m + 4*m) + 2058901 + 5118*m - 2058901 as h + l*m and give l.\nAnswer: 5117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 536296 divided by 6236\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-225)\/10)\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 2, h: 1, w: 1}. What is prob of sequence hw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 0)*(0 - -4). Suppose 5*g - g - l = 0. Let a(j) = -2 + 2 - 5*j**2 + 4*j - 2 + j**3 + 5. Give a(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66838255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-105))\/(6\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*b + 52, 20 = 2*k + 3*b - 2*b. Let o(z) = -z**2 - 9*z - 10. Let x be o(-4). Differentiate x*q + 12 - 7*q - k*q with respect to q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0 + 1)*(-8*c - c - 6*c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*u = -169*u - 6869 - 25148 - 7727 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, 0.343 in increasing order.\nAnswer: -1, -0.1, 0.343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 548\/20 - 2\/5. Suppose r = 3*m - 3*f, 3*m - 25 = f - 0. What is the third derivative of -2*s**2 - 3*s**3 - 2*s**2 + m*s**2 + 4*s**2 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -4*r + 99. Let b(m) = -m**3 - 13*m + 18*m - r*m**2 + 3 - 7*m. Calculate b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 46 = 2*g, 5*g = -2*i - 20500 + 20509 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 384.9184 hours?\nAnswer: 1385706.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70827042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 9*x**2 + 5*x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 8. Let w be -4*7\/(-84) + (-6)\/(-9). Calculate the highest common divisor of w and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3. Let z be ((-9)\/(-6) + j)\/((-5)\/(-110)). Solve 5*r + 4*o = -0*o - z, 0 = -4*r + 4*o + 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551404*r + 2 - 2 + 1.\nAnswer: -551404*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*s + 180 + 354, 3*u - 841 = 5*s. What is the highest common factor of 40 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 1448 (c) -4 (d) 0.85 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -7*q**3\/6 - q + 3. Let k(u) = -u. Calculate b(k(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22365862 - 2?\nAnswer: -22365864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (600\/(-1000) - (0 - (37 - 0))) + (-531)\/(-885)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*d = 148*d + 2300. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 - (-32 - -39) - 69 - 2\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 3*y**2 - 2*y**5 + 7*y**5 - 3*y**5 + 52*y**5 + (4 - 4 - y**2)*(0*y**3 - 4*y**3 + 3*y**3).\nAnswer: 55*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-z + 2*z + z) - 3*z - 2 + 2 + 2 + 3*z - 5*z + 4*z.\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66838249 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s - 284. Suppose -47*h = -x - 36*h + 23, 3*h + 5 = -x. Calculate the lowest common multiple of s and x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1592dd9 (base 14) to base 15\nAnswer: ddc96c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 661699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 757 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/(-80) + 1\/(-5). What is the nearest to j in -0.4, 5, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (119*w**2 + 352*w**2 + 128*w**2)*(-6 - 1 + 3) in the form i*w + c + g*w**2 and give g.\nAnswer: -2396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-15) - 6\/(-15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 1\/16, -1\/2?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inmm when four letters picked without replacement from {z: 1, i: 3, n: 2, b: 3, m: 3, s: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79250872 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5182 minus -46547489?\nAnswer: 46542307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(3300)*6)\/(sqrt(33)\/(sqrt(11) + -6*sqrt(11))))**2.\nAnswer: 957275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 730*c**3 - 2608*c**2 - 72*c.\nAnswer: 2*c*(5*c - 18)*(73*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -10, -57550, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3570 and 71757?\nAnswer: 717570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8097a89 - -2?\nAnswer: 8097a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7752 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3, 47713, -4 in increasing order.\nAnswer: -45, -4, 3, 47713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 3, t: 3}. What is prob of sequence tc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + c = 4, 14*u = 13*u + 5*c - 20. Let r(p) be the third derivative of 0*p**3 - 1\/140*p**5 + u + 0*p - p**2 - 1\/280*p**6 + 0*p**4. Factor r(a).\nAnswer: -3*a**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/20 - 2\/4. Which is the second smallest value? (a) 0.1 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27992.8 * -2.\nAnswer: -55985.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 0*u)*(-u**4 - 4*u**4 + 3*u**4) + 3*u**4 - u**5 - 3*u**4 + (0*u**3 + 2*u**3 - 4*u**3)*(-5*u**2 + 1634*u - 1634*u) + u**5 - 3*u**2 + 3*u**2.\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - y)*(-16 + 44025*y**2 - 88468*y**2 + 45305*y**2) + y**3 + 2*y**3 - 4*y**3.\nAnswer: 861*y**3 - 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 5, l: 5, i: 4, p: 3}. Give prob of picking 2 p, 1 j, and 1 l.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {j: 1, o: 2, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -321 - -545. Let q = j + -223.8. What is the biggest value in -103, q, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:04 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 2*c + 36 = 5, 5*c + 15 = n. Let f(p) = -7*p**3 - 11*p**2 + 6*p + 6. Let h(q) = 6*q**3 + 10*q**2 - 5*q - 5. Calculate n*f(t) + 6*h(t).\nAnswer: t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8904, 2, 4 in descending order.\nAnswer: 8904, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30632 divided by -4.\nAnswer: -7658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/8)*n\/(((n*(n**(-1)\/n)\/n*n)\/n)\/n)*(n**0)**19 assuming n is positive.\nAnswer: n**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39286 = -589*m - 13370 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 2*k**3 - k**3)*(-4*k + 2*k - k) + (-3 - 7 + 4)*(3*k**4 - 3*k**4 - 2*k**4).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3342 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-63))*83\/((-5976)\/192)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0. Let a = 0 - 0. Let w = a - i. What is the closest to -1 in w, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-244)\/8*4)\/(-1). Suppose 4*r + 4*j = 292, 4*j = 3*r - c - 83. What is the remainder when 139 is divided by r?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 345.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.7 + -9.7. Which is the second biggest value? (a) v (b) -4 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -1\/45 (c) 8 (d) 5 (e) 0.0424\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 7. What are the prime factors of (y - -3) + 2*17?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7276*z - 11088632. Determine q(1524).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002725 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-10) - 5\/(-5 - 0). Which is smaller: k or -3.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1038986, -1038991, -1038998, -1039007, -1039018, -1039031, -1039046?\nAnswer: -1039063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/35)\/a*a\/a**(-3\/11))**(-4\/19))**48)**(2\/7) assuming a is positive.\nAnswer: a**(-44544\/51205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*2*sqrt(130)*3)\/(-1*sqrt(1000)*-2*-4).\nAnswer: -27*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 884.2 - 827. Let y = -57.4 + i. Let l = 68\/5 - 14. Which is the closest to y? (a) -2 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 2*z**2 + 2*z - 1. Let v(l) = l**4 + 402*l**3 + 334*l**2 - 8*l + 4. Let i(m) = v(m) + 4*x(m). Find the third derivative of i(o) wrt o.\nAnswer: 24*o + 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.3, -15, -0.02, -0.15?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4619.58 to the nearest ten.\nAnswer: -4620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*g)*(2 - 3 + 2) + (3*g + g - 3*g)*(3 - 1 + 1) - 5*g + 5 - 5)*(2 - 3 + 0).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let d(g) = 8*g**2 - 152*g. Calculate d(t(m)).\nAnswer: 8*m**2 + 152*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owwooowwwwwwow. Give prob of sequence wow.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -8, 2, -1\/5, -3, 5, 421, 23?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.5, -27, 25, -21.46 in descending order.\nAnswer: 25, 4\/7, -0.5, -21.46, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6240304 (base 7) in base 10?\nAnswer: -749263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 14*p**2 - p - 20. Let u be w(-14). Suppose -55 + 7 = -4*m. What is the remainder when 2\/12 - 281\/u is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d + 24. Let w(i) = -9*i + 41. Let v be w(5). Let h be j(v). Solve z - h*f = -z + 14, -25 = 5*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/24 - d**2. Let a(l) = 0*l + 4*l - 8*l + 2*l. What is a(q(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.074, 3\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211 - -10?\nAnswer: 102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 38 = 34. Suppose h + 2*t + 2 = 0, 5*h = 2*t + t + 29. Suppose -q**4 - 22*q**3 - 3*q**h + c*q**3 + 2*q**5 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/5899 and 33\/12839.\nAnswer: 218263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -11. What is the third biggest value in s, 0.3, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - 142. Let x be (-360)\/(-80)*(-8)\/m. Calculate the greatest common divisor of 4 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/56*(-861)\/(-82)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 92782 divided by 2\nAnswer: 46391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-22) - (-2 - 48\/(-22)). Solve -y*w = -w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 6*i**3 + 66*i**2 - 106*i + 48.\nAnswer: -2*(i - 3)*(i - 1)**2*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -746, -2990, -6730, -11966?\n\"Answer: -748*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 6. Let s(k) = 133 - 66 - 67 + k**2. Determine s(b(q)).\nAnswer: 9*q**2 - 36*q + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 6*o - 9. What is the hundreds digit of 1 + 212 + (o - 3) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4866690 and 324446.\nAnswer: 4866690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 2*h**2 - 3*h + 2. Suppose 0 = 2*t + 13 - 17. What is r(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 70 = -3*a. Let g = 1593 + -1599. Let q be (g\/(-4))\/((-15)\/a). Solve q*y - 11 = 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524852 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(1100))*2 + -1.\nAnswer: -2 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13)*o**44*o*o**(-39)\/o**11)**29 assuming o is positive.\nAnswer: o**(-522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21818177\/378 - -57720. Calculate the common denominator of -80\/147 and s.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 1. Let r be b(1). Let t(d) = d - 16. Let i = 61 + -43. Let z be t(i). Is z less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2145)\/1001*(-126)\/(-108)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*k - 6, i + 5*k = 5 + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/56 + 4)*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b661ae - 8?\nAnswer: 6b661a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 38*f**2 + 3391*f - 202923. Calculate p(41).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.216973m?\nAnswer: 8216973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 take away 29?\nAnswer: -28.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amsz when four letters picked without replacement from {i: 1, s: 2, l: 2, m: 3, a: 2, z: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37786*0.1.\nAnswer: -3778.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/16656 and -61\/106.\nAnswer: 882768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4217611, -4217612, -4217613?\n\"Answer: -y - 4217610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 = -4*n - 100. Let z = 18 + -16. Let o be 420\/26 + z\/(-13). Calculate the highest common factor of n and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2667, -5336, -8005, -10674?\n\"Answer: -2669*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -348, -81, 906, 2973, 6480?\n\"Answer: 60*j**3 - 153*j - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 716186527946 + -716186528729.999999166. Let q = k + 784. Round q to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*b + 332 = 0, 0 = -5*a + 39*b - 42*b + 792. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 9. Suppose 0*n + n = -5*i - 13, -5*n - 3*i = 43. What is the remainder when 34 is divided by u(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 14*g + 190 = 0. Let h be (3 + (-41)\/15)*g\/4. Which is the third biggest value? (a) 0 (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(96) - (1*sqrt(96) - sqrt(96))) + sqrt(96)))\/(1*sqrt(98)))**2.\nAnswer: 4800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7}. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**10\/1680 + b**6\/360 - 2*b**3\/3 + 4. Let x(d) be the third derivative of f(d). What is the third derivative of x(y) wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 52 + 7 = 0. Let o(y) = y**2 - 10*y - 1. Let m be o(r). Let n be (3 + m\/4)*-2. Which is smaller: n or 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 5*f = -4*f. Suppose f = b + q - 3, -11 = -2*b - 7*q + 4*q. Let v = 1 - 1. Put 1, v, b in decreasing order.\nAnswer: 1, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*x + 0*x - 47456 + 47383 - 874*x**2 wrt x?\nAnswer: -1748*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -45, -66, -85, -102, -117, -130?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 657\/54 + (-8)\/(120\/195).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10*z + 57. Let v be y(-6). Let j be ((-1398)\/3 + 0)*-5. Is (3 + j)\/(v + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*p**2 - 195 + 11*p**2 + 187.\nAnswer: -71*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0145 times 0.01\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 5*h - 4. Let p(s) = -s + 7. Let x be p(0). Suppose -2*c = 1 - x. What is n(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a6 + 3?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 2*v + 4*v + 1 - 3*v**2 + 2*v**2. Let d be x(4). Solve -4*o + 7 = -d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117345?\nAnswer: 3, 5, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/25*((-6 - 0) + -4). Let l(j) = 151*j**3 + j**2 - 5*j + 10. Is 18 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Suppose 4*r + 3 = 11, -4*d + 2*r + 8 = 0. Suppose -h + 4*j = -j + 14, 5*j = 5*h - 10. Suppose -4 = -4*q - 10*x + h*x, -4*q + 3*x = -11. Solve q*n + d = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 4*j + 2. Suppose -5*r + 2*r = a + 15, -4 = r. Let u be c(a). Let f = 0.3 + -0.2. What is the closest to u in f, 0.5, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(484)*2 - sqrt(484))*-2)\/(3*((2*sqrt(24))\/sqrt(12) + sqrt(2) + -1*sqrt(128))).\nAnswer: 88*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*v**2 - 63*v**2 - 57*v**2 - 145*v**2 - 50*v**2 - 40*v**2 - 51*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12926, -25847, -38768?\nAnswer: -51689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -1)\/(1\/(-7)). Let x = -103\/145 - -9\/29. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 286*i**3*w**2 - 140*w**2 wrt i?\nAnswer: 858*i**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 20 = 20. Solve -2*c + 124 - 130 = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1091 < -1088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.3 - -26. What is the second biggest value in 0.3, f, -2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(5 + 2*g - 5).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67\/155? (a) -1\/32 (b) -0.1 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**4 - f**3 + f**2 + 1. Let n(l) = -l**5 + l**4 + l**3 - 5*l**2 - 4. Let g(s) = 3*n(s) + 12*v(s). Determine h, given that g(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*p**4 - 124438*p**3 + 8*p + 2705868?\nAnswer: 1956*p**2 - 746628*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/9, 307, -0.46, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*t - 716040 = -205*t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + b**2 - b**2)*(-1 - 5 - 2) + 49*b**3 + 15*b**3 - 26*b**3.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 102?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y + 2. Determine x(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssksssssssssss. What is prob of picking 1 k and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, i: 5}. Give prob of picking 1 s and 1 i.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 + 11*b**2 + 3 + 2*b - 6*b**2 + 3*b**3. Is z(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 107\nAnswer: -5\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:18 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 5. Let j(z) = 3*z + 7. Calculate 3*i(o) - 2*j(o).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-300)\/270)\/(2\/(-9)). Let o = 20 - 12. Suppose 4*q + 4 = -3*h, -5*q - 18 + 6 = 2*h. Put q, n, o, -2 in descending order.\nAnswer: o, n, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.69928 - 65.69928. Suppose 4*r + 3*d - 21 = r, 2*d = -4*r + 18. Sort h, r, -1\/4, -5 in decreasing order.\nAnswer: r, -1\/4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1252607, -1252610, -1252613?\n\"Answer: -3*o - 1252604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 14 - 9 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -46, -42, -36, -28, -18?\n\"Answer: g**2 - g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (-3 + 6) - -2. Let o(t) = t**2 + 8*t + 2. Let y(a) = a**3 - 8*a**2 - 12*a + 21. Let h be y(9). Let q be o(h). Put q, -3, w in ascending order.\nAnswer: q, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26322097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 682577997?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206440988 = -34*q - 21597012. Round q to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374355 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/414 and -43\/78.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142357921 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -44. Let h = 247 - 144. What is the remainder when h is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - (-1)\/(-2). Let b(q) = q + 3. Let t be (-8)\/(-28) - (-23)\/(-7). Let g be b(t). Is g < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4493, -7719, -10943, -14165?\n\"Answer: d**2 - 3229*d - 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = -5*l, -l = 4*v - 8 + 1. Let m(x) = x**2 - 4*x + 2 + x + x. What are the prime factors of m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359260.7 rounded to the nearest one thousand?\nAnswer: 359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(-6*(sqrt(2) + -2) + sqrt(242)*-2 + sqrt(242))*1)**2.\nAnswer: -61200*sqrt(2) + 108300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 8*w - 2. Let b(h) = -h**2 - 7*h - 2. Let o(y) = 2*b(y) - 3*l(y). Suppose -9 = 3*u + 15. Calculate o(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378853 less than or equal to 378248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 3*y**2 - 8*y - 9. Let r be z(-4). Let k(u) = -u + 2. Give k(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.7 + -12.5. Let f = v - 20. Sort -0.4, f, 4.\nAnswer: -0.4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -29?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 10) + 9 + 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 3 (b) -1 (c) -371\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1438415\/629700 + 2 + 6\/9. Let f = -2\/2099 + a. Find the common denominator of f and 57\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.2, 6\/11, 6, 5377?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0*m)**35\/(m*m**(3\/4)*m\/((m*(m\/(m*m\/((m*(m*m*(m\/(m\/m**(-7)))\/m)\/m*m)\/m)))\/m*m)\/m)) assuming m is positive.\nAnswer: m**(241\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327 - 8*k**3 - 354 - 318 + 999.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciicdsgsddcsdjddcgi. Give prob of sequence ds.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -19*a - 217 - 193 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 - 8 = -3*p, 0 = -3*w + 4*p + 37. Let k(y) = -y - 2*y**3 - 3*y - 9 + 5*y**2 + 10*y**2 - y. What is the remainder when k(w) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/39736288 and -93\/24835180.\nAnswer: 198681440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 2. Let m be w(-33). Which is the second smallest value? (a) m (b) -1\/2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 4*n**2 - 6*n + 13. Give r(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 37 - 47 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956491 is divided by 422269.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*t + 3*l, 5*t = -38*l + 36*l - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.1144253 rounded to one dp?\nAnswer: -41.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3711, -14966, -33753, -60072, -93923, -135306, -184221?\n\"Answer: -3766*c**2 + 43*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1084 + 1091 + 0 + -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 - 263. Does 43 divide 36 - 42 - (t + -718)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 18 - 31*r**2 - r + 31*r**2 + r**3 to k*r**4 + y*r + x*r**3 + q + d*r**2 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75864555 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*h - 0*h + 20, -5*i = -5*h + 20. Suppose b - 975 = -h*b. Let f = 284 - b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -648685*f. Let b(c) = 9*c**2. Determine m(b(z)).\nAnswer: -5838165*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 = 2*k + 7, -4*b = 5*k - 36. Let y be 50\/40 - 43*(-2)\/8. Solve -32 = -4*o - k*i, -4*i + 3*i - y = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j. Let v(x) = -19*x**2 + 12. Let y(k) = -2. Suppose -17*g = -22*g + 30. Let h(p) = g*y(p) + v(p). What is h(f(d))?\nAnswer: -76*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-1\/22))**(14\/9)*(d\/(d\/d**(2\/13)))\/(d**20\/d) assuming d is positive.\nAnswer: d**(-2240\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 2029200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6889926 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1366, 1261, 1156, 1051, 946, 841?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*a**6 - a**4 + 2*a**2 - 123.\nAnswer: -9480*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2690*f - 2644*f = 782 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(1045\/(-22)))\/((-1)\/260*-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 22 + 1 + 7 + -60 + 38 + 24?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**5 + 5626*f**3*p**2 - 7*f**2*p**2 - 19*f**2 + 2*f*p**2 - 46*p wrt f.\nAnswer: 180*f**2 + 33756*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*s**3 + 42*s**2 + 16*s = 0. Calculate s.\nAnswer: -8\/9, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -4*x**2 - 122*x - 3640. Give j(-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -80*u + 85*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801 - -747?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 21. Let j be c(6). Let t(u) = -u**3 + 4*u**2 - 2*u - 1. Give t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k + 58. Let z be i(9). Let l(m) be the third derivative of -1\/30*m**5 - 1\/12*m**z - 4*m**2 + 0*m**3 + 0*m + 0. Factor l(g).\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 3280 - 655 - 656 - 663 - 646 - 650.\nAnswer: -2*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*q - 1269*q + 5*p = 1, -5*q = 2*p + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/105 + -188\/105. Sort -4, 2\/19, p in descending order.\nAnswer: 2\/19, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*4)\/((sqrt(77)*-1)\/sqrt(11)) + (((sqrt(539) - -2*sqrt(539))**2 - sqrt(11)) + (sqrt(110)*1 - sqrt(110))\/sqrt(10))*2.\nAnswer: -10*sqrt(11) + 9702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10684 - 10689. What is the biggest value in h, 11.41, 3?\nAnswer: 11.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 37*i**2 + 42*i + 204. Calculate j(36).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519*q = 518*q + 13. Suppose 0 = -2*j + 6 + 4. Suppose -3*n - 7 = -4*z - 23, -j*n - 4*z = -48. Solve -5 = q*a - n*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(1216) + 2)*-2*-1)**2.\nAnswer: 288*sqrt(19) + 4945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (494*i**3 - 8895 + 8895)*(0*i - i + 0*i + (-3 + 3 + 2)*(2*i + 0*i + 0*i) + 2*i - 4 + 4 + 3*i - 2*i - 3*i).\nAnswer: 1482*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*n**3 - 82*n**3 - 86*n**3 + 0*n - 53*n**2 + 3*n - 5 as q + x*n**3 + d*n**2 + t*n and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45017 - 72a?\nAnswer: -45745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(-4 - 2*z + 7*z**2 + 6 - 5*z**2)*(9*z + 178 - 178) as f + w*z**3 + u*z + r*z**2 and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*m + 3*f - 112, 8*m - 3*m + 68 = 2*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30305 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -1741?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 44*x**3 - 132*x**2 + 148*x - 56.\nAnswer: -4*(x - 7)*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/3 - (-4)\/12. Let l be 0 - (1 + -1)\/p. Solve d - o = l, 0 = 2*d + 3*d - 4*o - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/150969990 and 81\/2176144?\nAnswer: 1207759920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448 divided by -14.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 2*b**2 - 2*b - 1. Let n be p(2). What is the units digit of 5 + 3 + n + (1 - -59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let g be j(3). Let r(q) = -q**3 + g*q**2 + 7*q + 1 - 2*q + q**2. Let s = -83 + 88. Calculate r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**6*g - d**3*g**3 - 2*d**2*g**3 + 9*d*g**3 - 3*d wrt d.\nAnswer: 2040*d**3*g - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcd when three letters picked without replacement from vdzcy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858729857 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*n - 36 = 0, -2*n = 905*c - 901*c - 3*n + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/443, 0.1, 5, 287, -4, 1 in descending order.\nAnswer: 287, 5, 1, 0.1, -18\/443, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) - (-96)\/40. Suppose -3*l = -4*h - 8 - 10, -23 = -w*l - h. What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/4*(-808)\/(-606)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0\/4)*(-1 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:44 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44630 and 16.\nAnswer: 357040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.242136ng in milligrams?\nAnswer: 0.000005242136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 2 + 9 - 11.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, -3 in decreasing order.\nAnswer: -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -8*c**6\/3 - 3*c**4\/4 - 43*c**3\/3 + 499. Find the third derivative of h(u) wrt u.\nAnswer: -960*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*2*sqrt(16) + sqrt(80)\/(sqrt(5)*1)))\/((sqrt(3888)*-2 + sqrt(48))\/(sqrt(864) + sqrt(54) - sqrt(6))))**2.\nAnswer: 14112\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 962617 to the power of 1\/2, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 895710426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.013 (b) 5 (c) -0.1 (d) 19 (e) 0.2 (f) -0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/(4\/(-40)). Let u = j - -17. Differentiate 4*h**u - 7 + 16 - 6 with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/50*(-4030)\/(-16926)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = y + 81*f - 80*f, -f + 11 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*m = -44, 4*d + 7*m - 4*m + 20 = 0. Let a(t) = -t**2 - 3*t + 39. Let s be a(d). Which is greater: s or -15\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 240210*s**2 - 1441440*s.\nAnswer: 5*s*(s - 6)*(s + 48048)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -464 + 426. Let i(o) = o**2 + 29*o + 46. What are the prime factors of i(r)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3010 + -112104?\nAnswer: -115114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69247*k - 69250*k + 12 = -0. Solve 4*i + 3*z + 5 = -i, k*i + 4 = z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10658.34821057 + 0.49\nAnswer: -10657.85821057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 8*a**2\/11 + 2494*a\/11 - 13314\/11 = 0.\nAnswer: -317, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/15 + (-10)\/(-75). Suppose 0 = -n*y - y. Suppose 2*r - 2*z - 24 = y, -2*r - 2*r + 18 = 2*z. Calculate the smallest common multiple of r and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/22 and 103\/6324.\nAnswer: 69564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-8)\/(-3))*(1736\/(-13) - 9\/(-234))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - p - 3*p + (26 - 4*p - 26)*(1 - 1 - 2) to w*p + h and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, -47, -1 in decreasing order.\nAnswer: 4, 1, -1, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.606847 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 18*d**2 + 20*d - 23. What is b(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 47*j + 165. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2. Let b(y) = -43455*y. Give b(p(z)).\nAnswer: 130365*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 117 = -12*a. Let g = -164 - -263. Calculate the greatest common factor of g and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4130)\/(-48) - (-1872)\/(-44928)) + 2\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 393168.6 nanograms?\nAnswer: 0.0000003931686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 684499 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = c + 2, 7*c = 2*c + 3*v - 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3 + 2. Let i be 2*30\/4 + s. Suppose -2*b - i = -3*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c - 5. Let t be y(5). Let s(w) = -w + 10*w**2 - 9*w**2 + 6 - 3*w. Let i be s(3). Sort t, i, -2 in decreasing order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3993436.\nAnswer: -1\/3993436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:22 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 32*o + 91. Let s be y(-29). What is the hundreds digit of ((-81)\/s)\/(909\/304 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 20*z**2 - 21*z + 5. Let q be x(-21). Let f be -1250*(-18121 + q - 4). What is f rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*j + 42, 5*n - 2 = 3*j - 0. Let l = j - -5. List the prime factors of l\/14 + (-158)\/(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -276, -1116, -2520, -4488, -7020, -10116, -13776?\n\"Answer: -282*u**2 + 6*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -703 + -165. Let l = q + 873. Put 17, l, -4 in decreasing order.\nAnswer: 17, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = -2*g. Let r be (-14)\/g + 2\/(-4). Let t(y) = 2*y**2 + 2*y + 2. What is the units digit of t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1932 - 1320. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1621588*p**3 + 14063237*p**2 wrt p.\nAnswer: -9729528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 44, -15071949*p - 3*f - 74 = -15071941*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 80, -259, -1, 67 in decreasing order.\nAnswer: 80, 67, -1, -5, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 - 116. Let k = -29 - -42. Calculate the remainder when k is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -552398 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/(-162) - (754\/(-3) - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.7 > -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64740 divided by 156?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97524 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64717, -260301, -586273, -1042633, -1629381, -2346517?\n\"Answer: -65194*a**2 - 2*a + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14674230 and 28050?\nAnswer: 807082650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-10) + 1)*134 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((2 - 10) + -3 + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**7\/1260 - 11*c**4\/24 - 26*c**2. Let f(l) be the second derivative of m(l). Let n(p) = -8*p. Give f(n(y)).\nAnswer: -128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*w - 23, 5*u - 47*w - 85 = -42*w. Solve u*b = 15*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-4))\/(0 + 4\/112). Let l = -36 + 50. Calculate the greatest common divisor of l and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92819 and 202303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 183, 0.3, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687*f**2 + 4464534 - 4464534.\nAnswer: -687*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + -10640?\nAnswer: -10576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85, -89, -95, -103, -113, -125?\n\"Answer: -r**2 - r - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3574 + -33057?\nAnswer: -36642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 16*v - 12 = 0. Let o be 1 + 5 + 3 + v. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11\/7, 20\/7, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47925474*w**2 - 141900084*w wrt w?\nAnswer: -95850948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-1)\/3)\/((-3)\/(-9)). Solve g*j = 4*z - 8, -5*z + 2*j = 3 - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, r: 2}. Give prob of sequence rt.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -43. Let w = 8 + -7. Which is the closest to w? (a) -3 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l + 1053 - 1053 to z*l + p and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 506136277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 1. Let k(p) = p - 2*p - 12 + 0*p + 13 + 14514*p**2 - 14537*p**2. Give -k(l) + u(l).\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1912056799 to the nearest integer?\nAnswer: 43727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106118708.\nAnswer: 2, 3, 92176559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365 and 144930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.04918 rounded to 1 decimal place?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -868, -850, -816, -760, -676, -558?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d*s*v + 23*d*s + 4*d*v + 2*d - 2*s*v + 42*s - 271*v wrt d.\nAnswer: 7*s*v + 23*s + 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -15. Calculate the lowest common multiple of 33 and x.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -1\/48*m**8 + 0*m**5 + 4*m**2 + 0*m + 0*m**3 + 0*m**6 - 1\/8*m**4 + 0*m**7 + 0. What is the second derivative of q(k) wrt k?\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 7 - 8 + 10*n**2 to y*n + p + t*n**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -944150, -944156, -944162, -944168, -944174?\nAnswer: -944180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/33 and -44\/1677.\nAnswer: 18447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*r - x, 6*r - r - 105 = -2*x. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00231944156 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/5, -34.\nAnswer: -34, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/3*(-278 + -1)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(175\/(-14) - -7)*(1 - 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*y - 23*y - 7713*y**2 + 2423 + 7766*y**2 wrt y?\nAnswer: 106*y - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99686164, -199372330, -299058496, -398744662, -498430828, -598116994?\nAnswer: -697803160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -344.28 - -344.28. Suppose 2*z = -z, 0 = -3*s - 4*z + 12. Which is the nearest to i? (a) 2 (b) s (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152928\/25 - -6117. What is the third smallest value in -3, 2\/5, 0.2, -1\/6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5357 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10112232 - 444?\nAnswer: -10113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 + 58)\/(1\/2) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78950 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 e when three letters picked without replacement from {c: 1, j: 2, h: 1, l: 5, t: 5, e: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:42 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 405910218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634586.\nAnswer: 2, 181, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 85, -4.\nAnswer: -4, 15, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-81)\/2 + 0 + 78\/156. Let q(m) = -2*m - 72. Let h be q(x). Solve h*d - 2 + 18 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 166\/18 - (-20)\/(-90). Calculate the common denominator of o\/(-12) - 2\/(-4) and 2\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((400\/(-70))\/20)\/(46\/56 + (-7)\/28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 48 = -2*g. Calculate the remainder when 21 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1402804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 i, and 1 h when four letters picked without replacement from chclsclccchsih.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:20 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 71*x**2 + 140*x - 23. What is a(69)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 3*m**2 + 1. Let f be a(1). List the prime factors of (35\/21 + f)\/((-2)\/(-579)).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*a - 9 + 74, -a - 5 = 0. Solve -c*p = m - 14*p - 15, m = -2*p - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2899*-0.1.\nAnswer: 0.02899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 20. Let a(u) = -30. Let w(f) = -14. Let s(o) = 6*a(o) - 13*w(o). Let k(v) = j(v) + 10*s(v). Let t(b) = -4*b**2. Calculate k(t(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*(sqrt(1216)*3 + sqrt(1216)))**2 + 5 + 2)*2.\nAnswer: 972818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69533448.97036 + 69543056. Let d = -9624.02963966 + h. Let j = -17 - d. Round j to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 77, 6, -5 in decreasing order.\nAnswer: 77, 15, 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:25 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9419.836 nanometers?\nAnswer: 9.419836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 1. Suppose 5 = -3*c + 2*c, -z = -2*l + 3*c. Are 1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 7334*b - 15.\nAnswer: 7334*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 0.089836733?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 460480 and 357040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.6339 from -42.\nAnswer: -38.3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*u + 280*u + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -91*x + 9413. What is f(104)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2582 + -2578. Let c be ((4 - -2) + -1)*1. Suppose 5*p = -c + 15. Solve -y + 4*q - 3*q = 9, 0 = -p*y + b*q - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 37 + -33 - (-56 - -19)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 9*p - 812 = 0. What are the prime factors of p?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6922628?\nAnswer: 2, 1730657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0881467 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.2? (a) -2 (b) -28 (c) 0.6 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 at least as big as 130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26005*h**2 - 25*h + 66 - 26008*h**2 - 2*h = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-12)\/(-10))\/((-64)\/(-2080)) and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 174?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116579*n**4 - 3*n**2 - 112*n - 13.\nAnswer: 2797896*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 5*h + 14. Let i be p(6). Suppose 33*k + i = 31*k. Suppose v = -3*v - 36. Sort k, v, -3 in descending order.\nAnswer: -3, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = -10*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0 + 4. Let h be (w\/(-4))\/(4\/48). Suppose s - h = -s. What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12408 divide 2096170296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189*-0.027.\nAnswer: 5.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -14 + 7 + (9 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151999, 41, 2.\nAnswer: -151999, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 684*g**2*h + 3*g**2 + 2*g*h + 13653*h wrt g?\nAnswer: 1368*g*h + 6*g + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.1. Let i = 3 + g. Which is the closest to 0? (a) 0.1 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 17280*h + 18662400 = 0. What is h?\nAnswer: -2160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4\/3 - 410*q**3 + 47050*q**2\/3 - 202750*q + 862500 = 0.\nAnswer: 10, 15, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 23*i. Let s(m) = -m**3 - 4*m**2 + 2*m - 3. Let a be s(-5). Let u(o) = o**2 - a*o + 12*o. Calculate g(u(r)).\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 4559.\nAnswer: -4559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.17634 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*r - 704 = -a, 4*r + 552 = 4*a. Let o = a + -94. What is the highest common divisor of o and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 147673 - 3?\nAnswer: 147670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 628, 940, 1252, 1564, 1876?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41280.25 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 2*r**3 - 2*r**3 + (3*r - 4*r + 0*r)*(-r**2 - r**2 + 3*r**2) - 3*r**3 + 2*r**3 + 0*r**3)*(545*r + 54 + 542*r - 1088*r).\nAnswer: 3*r**4 - 162*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125456834 and 1622.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.26 (b) -0.1 (c) -4 (d) -0.3 (e) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -911, -3633, -8163, -14495, -22623, -32541, -44243?\nAnswer: -57723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 1, x: 2, b: 2, n: 1, c: 5}. What is prob of sequence xqo?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*d = -358 - 47 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6433.4204 or -1\/2?\nAnswer: 6433.4204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/4 - 6953*h**3\/2 + 58210413*h**2\/4 - 17149929103*h + 6083873835601 = 0 for h.\nAnswer: 802, 6151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -45.8. Sort 1, k, 5, -1\/3 in decreasing order.\nAnswer: 5, 1, k, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Suppose 16 = z + v*z. Find l such that -3 + 1 + 8*l - 4*l - l**z + 3*l**4 - 4*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*l - 8, s - l - 2 = l. Let z be -1 + (s - 1)*-1. Does 6 divide 8 + 2 + z\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 1\/2 (b) 2 (c) -3\/7 (d) -16.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142036 is divided by 69947.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -653673, -0.1 in increasing order.\nAnswer: -653673, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-3)\/(-21)*1*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*b + o, -3*o + 6 = -3*b + 2*b. Suppose -b*u = -6*u - 12. Suppose 0*i - 54 = -u*z - 2*i, z + 3*i - 26 = 0. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a gram in milligrams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 15. Let y be (-2328)\/m*6*625. What is y rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -720 + 721. Let k(h) = -h**2 + 6*h - 7. Let j be k(5). Let x be (j\/3)\/(7\/(-21)). Which is the fourth smallest value? (a) n (b) 1\/5 (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 40 = k. What is the least common multiple of k and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 10*o = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.396 - -221.396. Let j = 221.000103 - r. What is j rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 5)*(-1 + 3 + 0)*(0*n**2 + n**2 - 4*n**2).\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10213, -20332, -30451, -40570, -50689, -60808?\nAnswer: -70927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1800*a**5 - 2366780*a**4 - 779516812*a**3 - 992582232*a**2 - 129153152*a + 86277248 = 0?\nAnswer: -3284\/5, -1, -1\/2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20691022?\nAnswer: 2, 11, 940501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/7 (b) 1.54 (c) 23 (d) 0.4 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 times -0.36?\nAnswer: 79.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 6534 + 6486 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 - 208\/(-117). Find the third derivative of -31*k**z - 2*k**4 - 9*k**4 + 12*k**2 + 2*k**4 wrt k.\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185\/11 - 17. What is the third biggest value in g, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f + 30 = 0. Suppose 16*d + 145 = -175. Let q be (2 + f)*((-55)\/d + -4). Solve 3*g - 15 = -q*u + 8*g, u = 4*g + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 724285 (base 10) to base 13\nAnswer: 1c4893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487534535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-39))\/((-25)\/(-1350)*-3).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*z - 29*z + 0 + 2 + (4 - 3 + 1)*(-z + z - z) + (3 - 3 + 2*z)*(3 - 3 + 3) to b*z + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51318, 0, -10, 5 in increasing order.\nAnswer: -10, 0, 5, 51318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**15*a)\/((((a*a\/(a\/((((a\/(a**(-29)*a))\/a)\/a)\/a)*a))\/a*a*a*a*a)\/a)\/a))\/(a*a*a**(-14))**(-11))**(-28) assuming a is positive.\nAnswer: a**4004","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (6 - 6)) + (-4 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 10:56 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -29*p - 5. Let a(k) = -28*k - 6. Let w(r) = 4*a(r) - 5*b(r). Suppose 4*f + 2*d - 12 = 0, -3*d = f + d - 17. What are the prime factors of w(f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 4, 8204, 2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 164 and 0.5.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5299 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u + 7. Let n(x) = -x. Let z(d) = -g(d) - 6*n(d). Let f be z(4). Which is the second biggest value? (a) -2 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 + 6.1?\nAnswer: -1115.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, -9, -94 in decreasing order.\nAnswer: 208, -9, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2539953.69 rounded to the nearest one hundred?\nAnswer: 2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.119 - -0.881. Which is the closest to 4? (a) 2 (b) 0.09 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-40)*4\/(-3). Factor 0*f**3 + 0 + 1\/4*f**5 + 1\/2*f**2 - 1\/4*f - y*f**4.\nAnswer: f*(f - 1)**3*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/18))\/z**(-28)*(z\/z**(-18))\/z*z**32 assuming z is positive.\nAnswer: z**(1421\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163\/2 - 289\/4. Find the common denominator of -57\/10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3031312 (base 4) to base 14\nAnswer: -4b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 2 - 5*x - x - 3. Let g be v(-5). Solve g*k = 5*a - 25, -12 - 8 = -5*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/1)\/(-3))\/2. Let j = -4.02 - -0.02. Let w = 7 + j. What is the nearest to -3 in w, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3535 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -374528 divided by -19712?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*2\/6*705\/(-141).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660 and 2204310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0503 and 40.5.\nAnswer: 40.5503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 1135 = -1105 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) 3.7 (c) 115\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzuuuuuumz. Give prob of sequence uzuz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2736652.\nAnswer: 2, 684163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -742030 times 3?\nAnswer: -2226090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43 times -0.1\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 3*a + a - 2*a as d*a + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, 18, -1, 28.\nAnswer: -492, -1, 18, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x + 1 - 1)*(3 - 2 - 3) + (5 - 5 - 1)*(-x + x + 3*x))*(-1 - 5 + 4)*(-65*x + 80*x - 56*x).\nAnswer: -738*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0)*1\/(-2). Suppose y*n - 2 = -n. Let x(t) be the second derivative of t**4\/6 + t**3\/3 - 3*t**2\/2 - 50*t + 10. Calculate x(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22) - 25\/44 - 966*(-241)\/(-5784).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5, 5*z = 3*a - 0 + 13. Suppose 0 = h + a*j - 97, 4*h + 4*j + 7 = 419. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0579 + -5.9421. Suppose a = -3*g + 6*g - 16, 5*a = -4*g - 4. What is the smallest value in 5, -3, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - (-194)\/6*(-2016)\/672.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 84\/(0 - 3). Let y = -29 + x. What are the prime factors of 6692\/98 - y\/(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1535 or 1605?\nAnswer: 1535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -y - 2*g - 67, -g - 1 = 0. Suppose 4*t - 730 = -2*w - 3*w, -4*w = 4*t - 580. Let v = w + y. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 124157422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -397\/11 - -4481\/165. Let n = g + 48\/5. Determine x, given that -2\/3*x**4 + 0*x + 0*x**3 + n*x**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u\/(u**(-2\/7)*u))\/u)))\/u)**(-46)*((u**(-4)*u)\/u)\/((u\/(u\/(u**(-1\/8)\/u*u)))\/u)*((u**(1\/4))**(-3\/23))**(-35) assuming u is positive.\nAnswer: u**(99335\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.3. Suppose -5*h = 4*m + 13 + 33, -5*m - h = 47. Let s be (-8)\/12 + (-8)\/m. Which is the biggest value? (a) -3 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3622154 = -8962*x + 9029*x. What are the prime factors of x?\nAnswer: 2, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16048, -16046, -16044?\nAnswer: -16042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 72*x - 65. Let p(y) = -y + 13. Let k(r) = n(r) + 5*p(r). Let f(z) = -7*z**2. What is f(k(t))?\nAnswer: -31423*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2103.508 - -5.\nAnswer: 2108.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 287040.\nAnswer: 2009280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 divided by 6288?\nAnswer: 119\/2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1289 = 57. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d + 27*d + u - 35 = 58*d, 13*u - 10*u = 2*d + 127 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/40600*-1010 - 6\/87?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8161260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-6) + (-28)\/7. What is the nearest to -2\/13 in -3, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28641*o**2 - 1596*o - 697051940.\nAnswer: -57282*o - 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 8. Let l be v(-10). Suppose -3*m = 4*s + 13, -m = 4*m - 3*s + l. Let r be m - (-7)\/(308\/108). Is r smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/54 and 0 - -6 - (-7 + (-88758)\/(-6804))?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/144 and 30\/105*(-5012)\/(-240)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230745871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -14. Let r(f) = 7*f**2 - a*f**2 - 11*f**2 - 24*f - 19 + 3*f**2 - f**3. What are the prime factors of r(-17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0 - 2*f**2 + 3*f + 1\/6*f**3. What is t(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:08 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 516\/5 (b) 87 (c) 29 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(343)*3)**2.\nAnswer: 168*sqrt(7) + 3103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t**3 + 5*t**2 + t - 2. Let j(u) = -7*u**3 - 3*u**2 - u + 1. Let w(o) = 3*g(o) + 5*j(o). Let i be w(-1). Put 3, -5, 1, i in decreasing order.\nAnswer: 3, 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (174\/(-4))\/((-36438)\/5208 - -7). Is -12586 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 2*s**2 + 3*s. Suppose 5 - 21 = -8*x. Determine w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.44 and -8?\nAnswer: 43.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815707987.\nAnswer: 7109, 114743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20618 at least as big as 20618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744)*-1 - sqrt(26))\/(sqrt(6)\/sqrt(3)*-5)*4.\nAnswer: 52*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674346 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97437.18751 and -5?\nAnswer: 97442.18751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (285\/(-6)*-26)\/(-22 + 1776\/80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084*r = 1073*r + 55. Solve 5*f + 3*z - r*z - 23 = 0, -f - 5*z - 17 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/(-2)*3 + 51077.\nAnswer: 2, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -337 or -1679\/5?\nAnswer: -1679\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4674 - -8225. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153791 to the power of 1\/2, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 356.26 and -0.8?\nAnswer: -285.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/14)\/((-48)\/(-42)). Let o(c) = -3*c**3 - c**2 - 2*c - 2. Let z be o(-1). Let f be ((-4)\/(-10) - z)*4\/(-16). What is the closest to 2 in s, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 + 39*l + 85. What is v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7 = 5*u - 18, 4*u - 4*x = 4. Suppose -46 = -5*i - g, u*g - 4 + 16 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27497860 by -13.\nAnswer: -2115220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 70*r + 25. Determine l(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, 17, -3, 2, 10178 in ascending order.\nAnswer: -4, -3, 1, 2, 3, 17, 10178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = 8. Suppose 0 = -u + 2*v - 2, 10 = -u - 2*v + 16. Solve x - c = -0*x + 5*q, 0 = 2*x - 4*q + u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1235? (a) 7 (b) -2 (c) 0.4 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(252)*1 + sqrt(252))**2 + (-1*(sqrt(252)*-2 + sqrt(252)))**2)*4.\nAnswer: -288*sqrt(7) + 5076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 2644.\nAnswer: 13220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-5) - (-1)\/(-5). Let n be 14 - (0 + l - -1). Suppose -3*c + 197 = -265. What is the highest common factor of c and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Suppose c = 2*a + 4*r - 5*r - 7, -5*r - 15 = -5*a. Solve 0*d + a*d**3 + d + 9*d**3 - 14*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12879552 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from rwmqk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/((-35)\/(5950\/(-1326)))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 3\/5*t**5 + 0*t**2 + 0 + t**3 + 12*t - 1\/2*t**4. What are the prime factors of s(2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19941600 divided by -949600.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 292988 - 50738. What is h rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009204288 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, s: 5}. Give prob of picking 1 g and 3 s.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/50)\/((-12)\/785) and 48\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/210 - x**4\/42 - x**3\/7 - 2*x**2 - 28*x. Let y(q) = 0. What is q?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b - 695439?\nAnswer: -6953bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/10 - b**4\/3 - 2*b**3\/3 - 17*b**2 - 214*b. Find the second derivative of w(z) wrt z.\nAnswer: -12*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 2*f - 164 + 2*f + 302 + 772 to the form d*f + x and give x.\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000441313 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 10. Suppose 0 = 2*z + 5*y - 156, n*y + 9 = z - 84. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -89, -130, -171, -212?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 53 - 31 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 - -15)\/(1\/((-16)\/(-6))). Let f be (-22)\/l*(-4 + (2 - 2)). Suppose -f*w - 133 + 171*w - 45*w**3 + 73 - 75*w**2 = 0. Calculate w.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -4, 86 in ascending order.\nAnswer: -4, 3, 10, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4310 + 4311. Sort w, 5, -0.5, 10 in descending order.\nAnswer: 10, 5, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429 (base 11) to base 7\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/6 (b) -4 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -542 - -578. Suppose 39*d - j*d = 132. What is the remainder when d is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/9 + 150*c**2 - 6712*c\/9 + 2680\/3 = 0.\nAnswer: 2, 3, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -157, -6 in decreasing order.\nAnswer: -6, -29, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265447\/2465 - -3969\/145. Let u = z + -52025\/374. Let g = -42901\/20 + 2149. Find the common denominator of g and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -98\/13*z**2 - 1\/130*z**5 + 2*z + 30 + 2\/13*z**4 - 7\/13*z**3. Let f(w) = 0. Calculate w.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:08 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -357, -534, -711?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35911474 by 161038.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a46593 (base 13) in base 8?\nAnswer: -16516451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3299 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.4 - -19. What is the second biggest value in 3, a, -4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofuuuuouuu. What is prob of picking 3 u?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apb when three letters picked without replacement from {b: 4, p: 9, a: 6}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*3\/(-9) - -1*3. Determine x, given that 9\/2*x - 3*x**2 + 1\/2*x**n + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 4*k**6\/15 + 11*k**3\/6 + 11*k + 29. Let f(w) be the first derivative of i(w). Find the second derivative of f(b) wrt b.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0 - 3. Suppose 0 = -5*z + q*h + 306, -5*h = -z - 0*h + 70. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2 - 1)*0. Solve -p + 5 = 2*n - w*p, -2*p - 2 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 5, -23, -1, -2 in decreasing order.\nAnswer: 24, 5, -1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 0*l**4 + 9*l**4 - 3*l**3 - 11*l**4 - 19*l - 2*l - l**4 to the form c*l + p*l**4 + q*l**2 + y + u*l**3 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 296*n**2 - 22 - 295*n**2 + 2*n + 23. Let v(i) = 3*i + 1. Let j be v(-1). Determine w(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:43 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, 1\/2, 0, 48 in ascending order.\nAnswer: -0.5, 0, 1\/2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*s + 84. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 10*y + 8. Calculate i(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 116*h + 4997. Give v(-43).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 566678931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37518 or 37521?\nAnswer: 37518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-50)\/525 - 29110\/(-42)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -42 (c) 5.3 (d) -3\/4 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*v = -7, v + 0 - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 5*g + 2. Let b be 2\/6 - 186\/(-9). Suppose -5*j = 2*f - b, 4*j = -4*f - 0*f + 12. Let p be s(j). Solve 2*r + 22 = 5*y, y + 3*r - p*r = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 10968*j + 253519. Calculate c(-23).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17132960422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 - 193 = -37*k - 23*k + 1790 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8*-0.73\nAnswer: 5.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -508 + 3023\/6. What is the common denominator of w and 57\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-22)*(-1209)\/(-195) - (15 - (-1503)\/(-99)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9 and 264.\nAnswer: 1029.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24590 - -24589.199912. Let g = -66 + 66.8. Let r = p + g. What is r rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 6. Let j be ((-2)\/h)\/(8\/16). Sort j, -3, -2 in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1820 - -1824. Solve -3*h + 5*u - 22 = 0, -h - q = -2*u + u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229 divided by 1\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -3 (c) -2 (d) -0.158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*m - 60*m - 135 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*r + 162*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, r: 7, f: 2}. Give prob of picking 2 r.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7886 + 418. What is the remainder when r is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 26845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 708651*g + 250918 wrt g?\nAnswer: 708651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:20 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 718480 rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 38. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, 41 in descending order.\nAnswer: 41, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s*s)**32\/((s*s\/(s\/s**(-4\/11))*s*s*s*s*s)\/(s\/(s**(1\/15)*s*s)))*s**8*(s*s*s\/s**(-5)*s)\/s*s*s*s*s**(-8)\/(s**(-6)\/s) assuming s is positive.\nAnswer: s**(-8696\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62635 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/120 - f**5\/20 + f**3\/6 + 23*f**2. Determine m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 15*d**2 - 107*d + 1735. What is the remainder when y(14) is divided by 26 - ((-6)\/3 + 4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111011110 + 100?\nAnswer: 101111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*b - 8*b + 5, -5*r - 2*b = 25. Let w = 38 - 38. Let v be 0 + (w - -4) - 1. Put v, r, 1 in increasing order.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 12*z + 20. Let i(m) = m**2 - 6*m - 10. Let x(j) = 7*i(j) + 3*r(j). Let c be x(6). Let p = 25 + c. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = 4*o. Let x = 5 - 3. Let m = o + x. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**3 - y. Let h = -10 + 11. Let f be i(h). Let z(w) = -2*w - 4. Determine z(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 151250*s - 1143828125.\nAnswer: -5*(s + 15125)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 346, 350, 364, 394, 446, 526, 640?\n\"Answer: u**3 - u**2 + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 40*x**2 + x - 18. Give f(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311187424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7080.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 14. What is the second derivative of -7*z**2 - z**c + 2*z**2 - 2*z - 5*z wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2603417, 2603428, 2603439, 2603450?\nAnswer: 2603461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 5, a: 10, j: 4}. What is prob of sequence wra?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3123*j**3 - 1482*j**3 + 4*j**2 - 1563*j**3 in the form b*j**2 + v*j**3 + y*j + z and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l - 112. Let t(n) = n**3 - 12*n**2 - 13*n + 14. Let w be t(13). What is the greatest common factor of w and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**6\/600 + f**5\/100 - 4*f**3\/3 - 2. Let q(x) be the third derivative of h(x). Factor q(l).\nAnswer: 3*l*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69.31877 decades?\nAnswer: 8318.2524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 7. Let a(j) = j + 4. Let p(b) = -5*a(b) + 3*m(b). Let q be p(3). Suppose -q*h = h - 10. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63, 127, 219, 351, 535, 783, 1107, 1519?\n\"Answer: 2*n**3 + 2*n**2 + 44*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:51 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -733 + 356 + 341 + 9*q. Let u be l(4). Are u and -4\/33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 7*r - 9. Let o be y(-8). Let c be (-21 - o)*(-1)\/2. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(11\/(33\/(-183)))*(-1)\/2.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3015627 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 - 12*i + i**2 - i**2 + 6*i**2 - 7. Let m be (-55)\/5*(2 + -1). Let c be g(m). Solve c = 2*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-40)*-4*(-210)\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 16 = 4*z, -2*w - 5 = 4*z + 3. Let p(l) = -2*l. Give p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4475209, -8950421, -13425633, -17900845?\n\"Answer: -4475212*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 347 - 2235. Does 87 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246cc8 (base 13) in base 3?\nAnswer: 101201112120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243 + 311 + 244 + 811)*(0*z**3 + 4*z**3 + 0*z**3 + (z**2 + z**2 - 4*z**2)*(-1 - z + 1)).\nAnswer: 9654*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -562, -1546, -2568, -3622, -4702?\n\"Answer: w**3 - 25*w**2 - 916*w + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + -6. Let u be (-82)\/l - 18\/(-42). Let s be (20 - 18)*(0 + 1). Which is the second biggest value? (a) -0.2 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22*y**3 + 4*y**2 + 37*y + 19. List the prime factors of x(-5).\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 433073276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259265373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 n when three letters picked without replacement from {b: 6, n: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 11356160.\nAnswer: 34068480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101, -170, -619, -1246, -2051, -3034, -4195?\n\"Answer: -89*s**2 - 4*s + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 less than -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngftfnbfgf. What is prob of sequence bgg?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 47*q + 9. Let k(j) = 447*j + 4. Give w(k(y)).\nAnswer: 21009*y + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/91)\/((-1)\/(-7)). Suppose -4*t + 34 = 2*k, 0 = -v*t - 3 + 7. Calculate the remainder when k is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4, 2*i + 14*c = 10*c - 26 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24218 + -0.44218. Which is the closest to r? (a) 0.3 (b) -20\/19 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36439543 is divided by 3312684?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a decade in months?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32242 (base 8) to base 3\nAnswer: -200111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3956773878?\nAnswer: 2, 3, 179, 863, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 26\/5464721 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -38, -41, -46?\n\"Answer: -b**2 + 2*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278.197 nanometers in meters?\nAnswer: 0.000002278197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + -5 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/66 and (2\/(-12))\/(1275\/(-429) - -3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18647948 and 3157?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:46 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:46 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(21\/4)*i**(-6\/13) assuming i is positive.\nAnswer: i**(-245\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2928*r**2 + 23*r - 14. Let l(g) = 1952*g**2 + 16*g - 10. Calculate -5*f(s) + 7*l(s).\nAnswer: -976*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, w: 3, p: 4}. Give prob of sequence pe.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 163, 125, 15, -203, -565, -1107, -1865?\n\"Answer: -6*d**3 + 4*d + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -19\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/84)\/(12\/(-5580)). Which is smaller: o or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324166359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 285\/7. What is the smallest value in -3, 3, b, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*a - 380, -2*a - 8 = 2*a. Let b = -71 - o. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 79\/7. Suppose -19*y + 18*y + 17 = 7*g, -3*g + 34 = -2*y. Which is bigger: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-290))\/((-123)\/(-82))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 504. Let n(l) = 2*l + 254. Give -3*j(v) + 5*n(v).\nAnswer: v - 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 - 1661409*c\/2 + 1661403.\nAnswer: 3*(c - 553801)*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 26*b - 127. Calculate the remainder when q(-5) is divided by (-326)\/(-14) - 2\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 230 = 242, 2*l - a + 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2490095 or 2490107?\nAnswer: 2490107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/3752655 or 0?\nAnswer: 22\/3752655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 30 + 20 - 34.\nAnswer: -4*p - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23315.\nAnswer: 5, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 - 132. Let c = 13 + -40. Let d = c - k. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 3*k**2 + 3*k + 6. Let p be o(-4). Let y be (4 - p\/(-4))*-2. Suppose -5 = -2*c - y. Solve -5 = 4*i - c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -109. What is the greatest common divisor of b and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.057 + -3\nAnswer: -2.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 12:41 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338 - 198. Suppose -i - 420 = -4*g. Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14379, -57528, -129447, -230136?\nAnswer: -359595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -48 - 1 - 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2186, 4363, 6538, 8711, 10882?\n\"Answer: -m**2 + 2180*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15575808.\nAnswer: 2, 3, 17, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, 1 s, and 1 b when four letters picked without replacement from mfbmumuusf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {s: 1, o: 1, v: 4, z: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/5 + 20346*y\/5 - 8140 = 0.\nAnswer: -10175, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 - 3 + 0 - 7 in the form n*j**2 + y*j + u and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - (0 + -6) - (2 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.075 + 39306?\nAnswer: 39302.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 8*x**2 - 6. Let y be u(8). Let c(t) = -t - 2 + 2*t - 4*t. What is the remainder when c(y) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 11\/(-5) + (-33)\/(-165). Put 4, -1, -78, -3, s in descending order.\nAnswer: 4, -1, s, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2 = -4*k. Let m be 3\/(-9) - k\/(-3). Solve v = -m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -250? (a) -0.5 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 8. Let i(b) = b - 3. Let z = 183 - 181. Let f(p) = z*i(p) - l(p). Determine f(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -952 and -953 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30927180466.8 and 0.8.\nAnswer: -30927180466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26051471.0131534294552769 + -0.0868468305447231. Let c = t - -26051468.9. Let l = c - -2.2. Round l to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/6 - 7*d**3\/6 + 5*d**2\/2 - d. What is the tens digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770800 rounded to the nearest 10000?\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239120 by 34160.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5366 millennia in centuries?\nAnswer: 75.366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 10. Suppose 0 = t*v - 50 - 25. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 18*h**2 - 63*h - 34. Let j be c(6). Solve -19*u + 21*u - 10 = 0, 5*u = -5*l + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 7, -101, -175, -209?\n\"Answer: u**3 + 8*u**2 - 167*u + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14182 = 2*h, -560 = i + 2*h - 4107. Suppose 19*s - 888 = -d + 22*s, -4*d = -5*s - i. List the prime factors of d.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 - 82*u**2 + 5*u + 29. Let z(p) = -4*p**3 + 60*p**2 - 4*p - 28. Let d(k) = 3*g(k) + 4*z(k). What is d(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10047709481*r + 2*r**3 + 10047709481*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 325, 324, 323, 322, 321?\n\"Answer: -h + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 45207796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 3 (b) -13 (c) -2 (d) 576\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((-531)\/(-236)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*x = -223, 3*r + 7*x = 5*x + 121. Suppose 0 = v + r - 39. Sort 0, -2, v in increasing order.\nAnswer: v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaplllcklllmmlapl. What is prob of picking 1 k and 2 m?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60459\/(-5758)*-1*36\/7?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13999 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 8084?\nAnswer: 8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*r**3 + 42*r**3 + 184*r**3)*(-r**2 + 2*r**2 - 2*r**2).\nAnswer: -280*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.632 - -0.398. Let k = l + -4. Let i = 0.03022 - k. Round i to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251 (base 16) to base 4.\nAnswer: 21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77571355 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4651222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1372)*-5 - sqrt(1372)) + sqrt(1372) + sqrt(1372))\/(sqrt(48)\/(((sqrt(72) - sqrt(72)*3) + sqrt(72))\/sqrt(6))).\nAnswer: 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032 * -0.01.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 5 + 0)*(2 - 2 - 4*m) + 4*m + 0 + 0 - 1 + 1 - m)*(2 - 2 - 2)*(3 - 93 + 2) in the form s + r*m and give r.\nAnswer: -2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -229 (b) 16 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 + 35. Let b = 699 - 679. What are the prime factors of (-39)\/(-12) + -3 + a\/b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - c - 3 - 8*c**3 - 31271*c**4 + 31277*c**4 - 8*c in the form i*c**2 + z + j*c**4 + f*c**3 + r*c and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 11*o. Let n(a) = 104*a + 14. Calculate c(n(l)).\nAnswer: 21632*l**2 + 4680*l + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24*12)\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suudsssd. Give prob of sequence ss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -0.5 (c) 6 (d) 1157846\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178309 + 178358. Suppose 0 = 2*l + 3*l - 490. What is the highest common factor of l and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 14 - 102*s - 2*s**4 - 103*s**2 - 9*s**3 - 82*s**2 + 105*s as b + x*s + i*s**3 + j*s**4 + v*s**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 278 = 2*n. Let u = 252 + n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -34. Suppose 3*g = -4*v - 1, -g - 4*g + 2*v = -f. Solve -3*n + 17 = -y, -g*y - n = -4*n + 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/12 + 152*g. Let c(d) = 2 - 2 - 33*d**2. What is c(j(s))?\nAnswer: -33*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-553) + 918855\/(-230443)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2752*j + 204 - 399 + 193.\nAnswer: 2752*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 2 v when four letters picked without replacement from vvvvjvvvvvwwj?\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*z = 0, 32 = 4*w + 2*z + 2 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112723, 225442, 338161, 450880?\n\"Answer: 112719*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**6\/360 + c**4\/24 - c**3\/3 + 3. Let f(t) be the third derivative of i(t). Solve f(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:07 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 120 = -8*i + 32*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21437 and 442.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let f(q) = 50738*q + 7. Determine l(f(b)).\nAnswer: -101476*b - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(120)\/sqrt(4) + sqrt(30) + sqrt(30))*1*4)\/((sqrt(4200)*-3 + sqrt(42))\/sqrt(7)))**2.\nAnswer: 120*sqrt(5)\/29 + 21745\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5466742 to the power of 1\/2, to the nearest integer?\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479\/2 - 240. Suppose 3*h + 0*u - u - 11 = 0, -3*h + 3*u + 15 = 0. Which is the third smallest value? (a) h (b) j (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 346483976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/13 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 198\/(-96))*(-20)\/(-15). Suppose -f - 1 = 4*o - 2, 0 = 2*f - 4*o - 14. Suppose f*h = 3*h. Which is greater: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*n**2 + 1\/2*n + 0 + 3\/4*n**3.\nAnswer: n*(n + 1)*(3*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - j = 3*t - 34, t - 35 = -5*j. Let r be (4\/5)\/(3\/t). Let s(z) = 2*z - r*z + z - 2. Give s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277.163702 rounded to two dps?\nAnswer: -1277.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - u**2 - u + 3*u + 3*u + 24*u**3 to r*u**3 + x + o*u**2 + j*u and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1275, -2555, -3841, -5133, -6431?\n\"Answer: -3*n**2 - 1271*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*-3*(2 + sqrt(180))*-4 - ((1 + sqrt(180) - sqrt(180)) + 2 - (5 + sqrt(180)*2)))**2.\nAnswer: 57120*sqrt(5) + 425960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*x + 2. Let m(q) = q + 7. Let g be m(-5). Suppose -g*v + 3 - 9 = 0. Put v, -2, x in decreasing order.\nAnswer: x, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/18)\/k*k)\/k**(-2\/45)*(k*k*k\/(k*k**(1\/5)*k)*k)**36 assuming k is positive.\nAnswer: k**(649\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3\/6 + 10*x**2\/3 + 25*x\/6 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.144 to 0 decimal places.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 19*n**2 + 41*n + 43. Calculate x(-21).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-1 - 8 - (39 + -43))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:48 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13794304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 - 6*d + 5. Let t be f(5). Suppose t = 2*b + b. Which is smaller: 16 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -570183\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*k**2 + 6*k + 3 wrt k?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 4. Let h(f) = 3*f + 7. Determine -5*d(m) - 3*h(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/163?\nAnswer: -6\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 529*q - 273*q - 3*q**4 + 0*q**4 - q**3 + 2*q**3 - 271*q + 2 + 2*q**2 as j*q**4 + v*q + a*q**3 + c*q**2 + i and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.44 - 0.06. Let r = o + 0.52. Let v = -0.12 + r. Which is the nearest to -3? (a) v (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 20, 118*v - 30 = 2*p + 122*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 639*j + 4476. Let p be a(-7). Let s = 130 + -37. What is the highest common divisor of p and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 7*z - 9. Let c be q(6). Let p be -4*4\/8 + c. Let j(o) = 4*o + 6. Let k(l) = 3*l + 4. Let r(w) = p*j(w) + 8*k(w). Give r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -583a?\nAnswer: 5856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1566886 divided by -422.\nAnswer: -3713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -139, 89, 395, 773?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 4) + -4 + -2 + (-7 - 38)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.807 - 114.107. Let q = -113 - y. Which is the closest to 1? (a) 2\/11 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = -0*l - 2*l, 2*a = 2. What is the closest to -1\/4 in l, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 2*w**2 - 2*w - 4. Let v be a(-2). Solve 0 = -v*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1 - (127 - 131).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 142, 228, 318, 412, 510?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/7 + 40*h**3\/7 - 158*h**2\/7 + 120*h\/7 = 0.\nAnswer: 0, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7575 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -563 + 570. Solve 0 = 5*y + 3*u + 14, b = -4*y + u + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63637 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 29*b**3 - 3*b**2 - 4*b - 90. Let x(s) = -s**3 + s**2 + s. Let k(p) = -h(p) - 4*x(p). Differentiate k(i) with respect to i.\nAnswer: -75*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, 52, 133?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 1:17 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/4 + g**3\/6 - g**2. Let z be h(1). Find the third derivative of z*x - x**3 + 2*x**2 - 7*x wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 s when three letters picked without replacement from jsosssosjssooososs.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.2, -51, 5\/3 in increasing order.\nAnswer: -51, -0.2, -0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1499 - 62029. Let c = y + 60531.20284. Let k = c - 1.2. What is k rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 92532, 92527, 92520, 92511, 92500, 92487?\n\"Answer: -h**2 - 2*h + 92535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 6.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15363 and -5.\nAnswer: 15358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-123)\/(-3) - (-7 - -7). Suppose -f*r = -37*r - 264. What is the greatest common divisor of r and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54542, 94264, 133986, 173708?\n\"Answer: 39722*k + 14820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 3:57 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557822640?\nAnswer: 2, 3, 5, 2324261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61897181*g**3 + g**2 - 31493965*g wrt g.\nAnswer: 371383086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(66)*-1 - sqrt(66)) + sqrt(66) - sqrt(66))*-4 - sqrt(66))\/sqrt(384) + (sqrt(11) - sqrt(1100)*-1 - (sqrt(11) + 2 + sqrt(11) + sqrt(704))))**2.\nAnswer: -15*sqrt(11)\/2 + 2731\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14292567.\nAnswer: 3, 1588063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-18051)\/(-1089) - 70*25\/125 - 2\/(-22)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4227198.\nAnswer: 2, 3, 71, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-10))**(-2\/69)*(d**(-2\/107))**(-1\/28) assuming d is positive.\nAnswer: d**(-32887\/103362)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 27*h**2 + 15*h - 27. Let v(j) = 9*j**3 + 19*j**2 - 17*j + 1. Let i be v(1). Let b(x) = -11*x**2 - 6*x + 11. Calculate i*b(y) + 5*z(y).\nAnswer: 3*y**2 + 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/12 + 2)*180\/(-24). Is 2 + -2 - (-662 + k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 - 440*f - 864 = 0. Calculate f.\nAnswer: -108, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x. Let d be r(-1). Let t(i) = i**2 + 3*i - 4. Let c be (-2)\/4 + (-51)\/(-6). Let q be t(c). Calculate the greatest common factor of d and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4291380*4.\nAnswer: 17165520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:17 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2*21\/(-2))\/((15\/(-3))\/(-695))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.1. Let b = -65 - -65.101. Let w = n - b. Round w to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.6, -4, 18, 4921\/9, 0.1, 5\/3?\nAnswer: 4921\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 66*z + 204. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f. Let w(v) = -68*v - 7. Let n(q) = -13*q - 1. Let u(z) = 6*n(z) - w(z). What is u(c(m))?\nAnswer: 110*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -431, -1176, -3059, -6650, -12519, -21236?\n\"Answer: -95*j**3 + j**2 - 83*j - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -2. Let y = -0.08 - -0.25. Let b = y - -1.83. What is the closest to 2\/3 in -1, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three halves of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*n + (2 - 4 + 3)*(163*n + 30*n + 173*n).\nAnswer: 368*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/25)\/((-40)\/50*(-2)\/4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3385 = 1189. Suppose -3*x - g = -6*x. List the prime factors of x.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**3 + 1027*l**2 + 1733*l - 4346. Give g(344).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-168)\/9*3 + 3. Let k be (-5 - -3)*186\/4. Let b = m - k. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c - 5. Let b = c + 9. Let d be -4*((-7)\/84)\/((-9)\/6). What is the closest to 1\/3 in b, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 + 35*m**3 + 114*m**3 - 7*m**2 - 5*m**2.\nAnswer: 149*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428670207.\nAnswer: 2428670207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -541*d + 3417. What is g(6)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1931957, -3863914, -5795873, -7727834, -9659797, -11591762?\nAnswer: -13523729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-29)*2\/(-10)*-16*(-45)\/3024\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose 0 = -s*z - 0*z. Suppose q - 6 = -z*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/17, -3\/4, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27043 + -19990. Calculate the smallest common multiple of h and 15.\nAnswer: 35265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15190*q = -15186*q - 8*k + 68, 4*q = 3*k + 6 - 34 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**3\/6 - 6*b. Let s(p) = -3*p - 4. Calculate n(s(u)).\nAnswer: 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 3*n + 2*c, 31*n + 88*c = 27*n + 96*c + 108 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*o**3 - 2678*o**2\/3 + 30950*o - 609466\/3 = 0. Calculate o.\nAnswer: -2131\/33, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4879429 + 1738606 = 5*q. Let b = q + -733607. Round b to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10115 = -0*f - 5*f. Suppose -3197 = -6*i + f. Does 36 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3230\/(-50) - 12 - 492\/(-820).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = 4*b + 18, 4*b = d - 19. Let k be d\/(130\/(-43) - -3). Let u = 90 - k. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/5*s**3 - 3\/5*s + 6\/5*s**2.\nAnswer: 3*s*(s + 1)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/120 - 7*l**5\/60 + l**4\/6 - 29*l**3\/6 - 21*l**2 + 1. Let o be z(7). Which is smaller: 2\/1571 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 20?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4904.34858 to the nearest integer.\nAnswer: -4904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2465)\/(-23664)*(-60)\/(-375).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71211.08 and -11507.9.\nAnswer: -82718.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:40 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13792146 to the power of 1\/2, to the nearest integer?\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q + 45*q + 50*q = 128 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 294 in -1, -1\/2, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4)*i)**(1\/6))**(15\/2) assuming i is positive.\nAnswer: i**(25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(5*i + 3*i**2 - 5*i**2 + i**2).\nAnswer: 2*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 12\/5*i**3 + 1\/5*i**4 + 23\/5*i**2 - 108\/5 - 48\/5*i = 0.\nAnswer: -9, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 7*x. Let k be b(7). Suppose -4*j + 2*j + 18 = k. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t**4 - 22*t**4 + 20*t**3 - 20*t**4 - 3*t**2 - 16*t**4 + 81*t**4 as m*t + l*t**4 + h*t**3 + n*t**2 + z and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -9*a**8\/28 - 19*a**4\/6 + 39*a - 31. Let o(f) be the first derivative of i(f). What is the third derivative of o(s) wrt s?\nAnswer: -2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 7027337*z**4 + 2704891*z**2 - 74082976*z + 11332204*z**2 + 5274923*z**2 - 2*z**5 + 73034632 - 267110*z**3 - 7026075*z**4 = 0.\nAnswer: 2, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from xxxnxnxnnn.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 3*n**2 - 8*n - 19. Suppose -100 = -20*m + 20. Let q be x(m). Is 41 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w - 22*w - 15*w as o*w + x and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (167\/(5010\/75))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 10:56 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112782 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a**3 - 62*a**2 - 58*a - 24 + 182*a - 7*a**3 - 17*a**3 + 9*a**4 = 0 for a.\nAnswer: -2, 2\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 1\/4 (c) -25 (d) -3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181807274*l**6 + 2*l**4 - 451*l**2 + 257588*l.\nAnswer: 21816872880*l**3 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 535 - 533. Suppose 4*z + 12 = -2*k, 3*z + 22 = b*k + 3*k. Solve 0*h = -k*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 1580 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*f + 159*f + 151*f + 7236 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19043*r**3*s + 4397*r**2 - s wrt r?\nAnswer: 114258*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60266 is divided by 28828?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 18 = -3*h - 6, -5*h = 15. Factor 2*x**4 - x**4 - 3*x**4 + 3*x**4 - 6*x**g + 9*x**2.\nAnswer: x**2*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(-2\/19)*i)\/i)*i\/(i\/(i\/i**2)*i)*((i\/i**(-2\/9))\/i)\/((i*i**(-19))\/i))**(2\/3) assuming i is positive.\nAnswer: i**(5926\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*p, -2*z - 4*p = -8*p. Suppose 0 = -2*j + 5*b - 8*b + 5, z = -4*j - 2*b + 22. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -599968*m**3*z + 6*m**3 + 7*m**2*z - m**2 + 107154*z wrt m?\nAnswer: -3599808*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (501 + 2 - 11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -95*x + 192. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15) + ((-14508)\/1365)\/93?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(3*n + 2*n - 3*n - n + n + n + 2*n - 3*n + 2*n + (-1 + 4 - 5)*(-n + 0*n + 0*n) + n - 5*n + 6*n + 2*n + 4*n + 2*n) + 9*n - n - 5*n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -58. Let p = -13 + 12. Let i be 0 + p + (-6)\/(-1). Solve -4*o - 25 = -i*m, 5*o = -0*o - 5*m + r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1228, -175 in increasing order.\nAnswer: -1228, -175, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:18 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 1. Let a be (s - 0)*25\/20*1. Solve -i - 2 = 0, -4*k - a*i = -3*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 336846.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 16072*z - 16144324.\nAnswer: -4*(z + 2009)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*s - g = -2, 0 = s + 6*g - 2. Solve -2*q = q + s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 8*i**3\/3 + 3*i**2\/2 + 71. Let v(t) = -145*t**2 - 55*t. Calculate 6*v(u) + 110*w(u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98569 <= 98569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -832, -800, -764, -736, -728, -752?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:24 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-128)*6596\/582?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 176\/22 + -1 + -2. What is the third derivative of 34*r**5 + 28*r**q - 6*r**5 - 118*r**2 wrt r?\nAnswer: 3360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10361 + 37604 + 21507 = 5*o. Is 30 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 + 2*a**4 + (-a + a - a**2)*(0*a**2 + 0*a**2 - 2*a**2))*(2 + 2*a + 3*a - 4*a).\nAnswer: 4*a**5 + 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1104423 (base 5) to base 10.\nAnswer: -19363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -50935, 5, 2, 63 in descending order.\nAnswer: 63, 5, 2, -50935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*v - 8*r - 31, 0 = -4*v + r + 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5491714378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/120 + 1\/120. Let n(g) = g**2 - 6*g + 1. Let o be n(6). Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8501 - -8480.411. Let t = -19.56 - a. Let n = t + -0.019. Round n to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 51 = 0, 145*g + 56 = -4*v + 301*g - 152*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61.45 - -63. Let p = 23.8529 + -25.411. Let z = k + p. What is z rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 622006*109.\nAnswer: 67798654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) -3\/2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*i**3 - 786*i**3 + 302*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-8)\/12)\/((-24)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)**(11\/3)*(l*l*l**(1\/3)*l*l)**(-12\/11))\/(l*l\/(l*l**6)*(l\/((l*l**(-3)*l)\/l))\/l*l*(l*l**(-3))\/(l*l**(-5))) assuming l is positive.\nAnswer: l**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203 + -183. Calculate the remainder when 115 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1649)\/97 - 5\/((-2100)\/7134).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 > -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 25*r\/4 + 3\/2.\nAnswer: (r - 6)*(4*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.604801 to one dp.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/((-10 - -14) + 7\/(-2)). Let m = -23 + q. Solve m*c = -2*c + n - 3, -3*c - 4*n - 11 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/45 and -61\/3060.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -42 (b) -5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 divided by 6?\nAnswer: 581\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-990)\/55)\/(-1422))\/(3\/6)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 6. Let g = 63 - 59. Solve -g*r + l - j*l - 18 = 0, 12 = -2*r + 2*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8139*c**6 + 327*c**4 + 12*c**2 + 193963 wrt c.\nAnswer: -976680*c**3 + 7848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2*116\/(-1305). Are 96 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 7*l + 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1792\/30576 + 4\/(-26).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44769506569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2 - 34824*f - 1773423 = 0.\nAnswer: -34773, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54599119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5445)*-2)\/(sqrt(45)\/(sqrt(15)\/sqrt(3))).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 4, v: 4, e: 1, f: 6}. Give prob of sequence vevv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:56 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x*x)**(-20)*(x\/(x*x\/(x*x**(2\/15))))\/(x**(3\/7)*x)*((x*x\/x**1*x*x)**(27\/4))**(-46) assuming x is positive.\nAnswer: x**(-208487\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229\/3598 - -2\/257. Find the common denominator of j and (-10)\/(-24)*-1*3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c99c - 5?\nAnswer: -4c9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2*d**3\/3 - 3*d**2 - 4*d + 1. Let b be a(-4). What is the units digit of (-64)\/b + (-2)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355 + 23. Calculate the greatest common divisor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/12 + 8*w**3\/3 - 2*w**2 + 10*w. What are the prime factors of y(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*l - 177. Suppose 7*j + l = 612. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**4 + 43*s**3 + s**2 + s - 9476 wrt s?\nAnswer: 120*s + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 36*s**2 + 45*s - 765. Give l(-34).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46626151?\nAnswer: 11, 13, 326057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -327329082 and -0.3.\nAnswer: 98198724.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171309628.\nAnswer: 2, 7, 1619, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**2 + 3*o + o - 3*o to a*o**2 + b*o + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = 0, 0*u + x = -2*u + 3. Suppose u = 5*k - 0*k - 25. Let r(t) = -t**3 + 6*t**2 - 7*t + 5. Calculate the remainder when r(4) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 + 8*y - 5. Let w be g(-9). Let s be (-1)\/1 + (1 - -1). Let d(i) = -1 - w + s. Let v(m) = m + 5. What is 3*d(z) + 2*v(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 12:11 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 2. Suppose -x + 15 = -2*x. Let t(o) be the third derivative of 0*o + 5\/2*o**3 + 0 + 2*o**2 - 1\/4*o**4. Calculate x*h(j) + 2*t(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2*-2*(-7)\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -16, 5 in decreasing order.\nAnswer: 5, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(66)\/(sqrt(10)\/sqrt(5)))\/(sqrt(11) - (sqrt(11) - sqrt(99)*-1)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1566520 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5095 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-51652\nAnswer: -51651.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 q when four letters picked without replacement from qalmmalyyymalyyllby?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 (base 12) in base 4?\nAnswer: 213210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/12)\/(3*(-3)\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.5, 0, -4, 1, 111\/4 in decreasing order.\nAnswer: 111\/4, 1, 0.5, 0, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/90 + 61\/18. Which is smaller: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l**4 - 368006*l - l**2 - 2*l**3 + 3 + 368006*l as s*l**3 + y*l**2 + u*l + h*l**4 + i and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o + 78*o + 82*o - 2*o**2 + 5*o**2 + 2 - o**4 + 138*o in the form t + c*o**4 + k*o**3 + p*o**2 + h*o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let f(b) = 4*b - 4. Let c(a) = f(a) + 3*u(a). What is the least common multiple of c(6) and (3 - 4)\/((-1)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148613494 to the power of 1\/3, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103442045*a**5 + 232092*a + 123 wrt a.\nAnswer: 2068840900*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2052*t + 1980*t + 72*t - 169*t**2.\nAnswer: -169*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -26)\/(-18)*(5 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 5 + (-22)\/18. Let r = -35 + 35.2. Sort h, r, 5.\nAnswer: h, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 + 7555*z**3 + 13*z - 4*z**2 - 13*z + 3*z**2.\nAnswer: 7555*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045416 to 5 dps.\nAnswer: 0.00454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 6*g + 5. Let k be (5 + -2)*(-10)\/6. Let w be t(k). Let o = 8 + -4. Put o, w, 5 in descending order.\nAnswer: 5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -465555 or -466020?\nAnswer: -466020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 21.00015. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 280?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m - 3*z, 4*m - m - 2*z - 2 = 0. Factor 0*n + 3\/5*n**m + 0 + 4\/5*n**4 - 13\/5*n**3.\nAnswer: n**2*(n - 3)*(4*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 - 46*t - 257. Give a(28).\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 6. Let h be q(-4). Let o(u) = -2*u**3 - 2*u**2 + 4*u - 4. Let a be o(-3). Suppose -5*l = -a + 15. Solve l = -v + h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 3, r: 1, h: 1}. Give prob of sequence xd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0597 (base 13) to base 6.\nAnswer: 10430552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + 5 + 6*(1*sqrt(1573) + 3 - (sqrt(1573) - 6*(sqrt(1573) - (sqrt(1573) + -2)) - sqrt(1573))))**2.\nAnswer: 12804*sqrt(13) + 66038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3294*s - 29633. What is m(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3 - 160*b*x**2 - 2*x**2 + 392 wrt b.\nAnswer: -6*b**2 - 160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 16 = -5*x - 12*w, -12 = 3*w. Suppose a + a - 4 = x. Solve -g = -0*g + a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 300*f + 1 + 291*f as z*f + q and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h + 4. Let c be d(1). Let z(v) = -v**2 + 12*v + 15. Let r be z(c). Calculate the greatest common factor of r and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4) + 4 + 1 + (1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*i**3*u**2 + 558*i**3*u + 2*i*u**2 + 2*i*u - 3*u**2 wrt u.\nAnswer: 132*i**3 + 4*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.4, -1.4, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-6)\/15 - (-768)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3576, 5954, 8334, 10716, 13100, 15486, 17874?\n\"Answer: w**2 + 2375*w + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**2*t**2 - 203*b**2*t - 105*b**2 - 3*b*t - 1489*t**4 + 17*t**2 wrt t?\nAnswer: 10*b**2 - 17868*t**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 11*r - 9. Let a be z(-1). Let s = 52 - -9. Solve -11 - 77*j + s*j - 2 - 4*j**2 - a = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-72)*-3 - -2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 2, -6*p + 5*c = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 11*c = -46, 0 = 3*b - 13*c + 17*c - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let q(f) = -138*f**2. What is c(q(p))?\nAnswer: -19044*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5de39 - -b46?\nAnswer: -5d2f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4704 take away 2565?\nAnswer: -2574.4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 718, 717, 716, 715, 714?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 22 = 3*g + 2*r, 3*g - 26 = -4*r. Suppose 56 = -2*y + g*y. Do 15 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s - 18 = 0. Let a(k) = -7*k**2 + 13*k - 10. Let r(t) = 13*t**2 - 25*t + 19. Let w(p) = 11*a(p) + 6*r(p). Give w(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Suppose 2*z - 5 = v. Suppose z = 5*r - 7. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0.3 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7142056 by 4.\nAnswer: 1785514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r**4 + 1\/2*r**3 + r**2 + 0*r - 1\/60*r**5 + 11 - 7\/8*r**6. What is the first derivative of i(j) wrt j?\nAnswer: -315*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/5 (b) 4\/3 (c) 0.07 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551057?\nAnswer: 3, 101, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 9) in base 7?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11777 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - 5) - (91 + -90) - -16.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.85996l in millilitres?\nAnswer: 13859.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -1b1?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -113*d - 21. Let u(z) = 1116*z + 213. Give -21*j(g) - 2*u(g).\nAnswer: 141*g + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -3.08, -1, 32\/7, 0.1, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 321, 500, 695, 912, 1157?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0522511 months to decades.\nAnswer: 0.0171020925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:32 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.3023909 to 1 dp.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -0.052, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9937252 divided by 84214\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2258*a + 467*a**2 - 2258*a + (2 - 1 + 0)*(0*a**2 - 3*a**2 + 2*a**2) - a**2 + 1 - 1 + (2*a + a - a)*(3*a + a - 3*a).\nAnswer: 467*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {b: 1, h: 2, m: 1, d: 1, p: 1, o: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = 3*w, 5*w - 3*r + 9 = 3. Let a = 11 - 5. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrbrxrrb. Give prob of picking 1 x and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/6219780 and 92\/68145.\nAnswer: 68417580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8189.394km to micrometers.\nAnswer: 8189394000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -6287.\nAnswer: -20\/6287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -386595.2 and 0.261518.\nAnswer: -386594.938482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11914 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204171255*j*p**3 - j*p**2 - 58*p**2 - 11*p - 4250 wrt p?\nAnswer: 1225027530*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 68 + (-8 - (7 - (-3 + 5))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75725210161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = 4*m. Let t be 354\/8 - (-1)\/m. Suppose 2*z + 7 = z + 4*l, l - t = -3*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142343866.\nAnswer: 2, 7, 61, 166679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1 + 2*h + 2*h**3 - 2*h**2 + 0*h - 2*h**3 + 2*h**3. What is the remainder when o(2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289\/(-102)*260\/1105?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j + 3. Calculate z(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 20.5.\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4194)\/699*1*5\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184318 is divided by 2168.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -9. Suppose -s*p + 1 = 9. Let a(v) = -v. Let m be a(p). Solve 2*d + m*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q. Let z(d) = 9*d + d + 6*d - 2*d. What is z(k(b))?\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-7))\/k**(-2)*(k*k**0\/k*k)**(-15\/11) assuming k is positive.\nAnswer: k**(95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150\/30889 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -2. Let c(i) = -35*i**2 - 42*i - 42. Suppose -4*n = -4*k + 256 - 96, -3*n = -4*k + 162. Let d(y) = y**2 + y + 1. Calculate g*c(l) + k*d(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 38. Suppose -4*u + 5*u + 28 = -n*g, 4*u - 4*g = -172. Let l = u + 51. What is the remainder when 64 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 688 and 89706?\nAnswer: 30858864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28935 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282555 divided by -4347.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 117896 + 30347 = 0. Find the third derivative of 61*x**3 - q*x + 4 + 2*x**2 + 7959*x wrt x.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 16*h + 30. Let i be d(14). Put -5, 4, -24, i in descending order.\nAnswer: 4, i, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-6)*8450\/1430?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132637986 is divided by 815.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -1\/3 (c) 284 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.251 - -0.251. Let v = 0.46 - 5.46. Which is the closest to -2\/7? (a) 8 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - 19 - 73*-9. Suppose -5*m + h - 134 = 0. What is the greatest common factor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575288 divided by -9724?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7468512 by 6.\nAnswer: -1244752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 304\/5. Let t = 0 - 1. What is the second biggest value in t, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + k)*(-k - 5*k - 1 + 5*k) - k**2 + 2 - 2 + (-2 + 2 + k)*(k - 2*k + 3*k) - k**2 + 5*k**2 - 3*k**2.\nAnswer: 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -112*i + 14. What are the prime factors of r(-2)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 325 - -2470. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 6. Let m be a(-7). Let x(l) = -4*l. Let z(k) = -k. Determine m*x(w) - 2*z(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -243145, 55, 2\/7?\nAnswer: -243145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002499 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -598012\/189?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 18 = -26*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/59 and -35\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, 81, 142, 227, 336, 469, 626?\n\"Answer: 12*j**2 + j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*h + 23. Suppose -7 = -8*m + 129. Put m, h, -2, 0 in increasing order.\nAnswer: h, -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -146*v**3\/3 - v**2\/2 - 56*v - 107. Find the first derivative of c(a) wrt a.\nAnswer: -292*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.1. Let l = 24 - 14. Let z = -15 + l. Which is the second smallest value? (a) -1 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -47627\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1017, -2323, -3639, -4971, -6325, -7707, -9123?\nAnswer: -10579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 14 - (4 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 2316600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 13) in base 12?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-w**5 - w**5 + w**5) - 3*w**5 + 4*w - 4*w - w**5 + w**5 + 2*w**5 + (-4*w**2 + 4*w**2 - 3*w**4)*(-2*w + 5*w + 0*w).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 25575*b = -25577*b - 120, -2*z + 12*b + 70 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 15\/136642?\nAnswer: 15\/136642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -623.6 - -623.5504. Which is the fourth smallest value? (a) -4 (b) -1\/2 (c) 0 (d) p (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634 = -521*y - 4543 + 967 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from tmtmmmmjjmmmmmmtm.\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 24 = -6*y. What is the third derivative of -3*u**2 + u**2 + 8*u**2 + u**2 - y*u**5 wrt u?\nAnswer: -720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -29*l + 2. Let p = 20 - 19. Let u be n(p). Let c = u + 62. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -6*k + 3*k + 69 - 79, 69 = -5*k + 2*b + 31 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347.577 + -174.55. Let i = -173 + n. What is i rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8244 + -3684. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 2*a**4 - 2*a**3 + 3*a**3)*(0 + 3 - 4) + (a**3 - 3*a + 3*a)*(-87*a - 20*a - 38*a) + 2*a**4 + a**4 - 2*a**4.\nAnswer: -146*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = i - 2*g, 51*i - 48*i = g - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9663462 + 23651216 = 11*o - 38210622. Round o to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -14.8. What is the second smallest value in -1\/11, m, -0.1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8\/3 (b) -141 (c) 2 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*p + 2*p**3 - 168*p + 1 in the form c*p**2 + j*p**3 + x + h*p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*m**3 + 48*m**3 + 57*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*z - s, 2*s - 8 + 14 = 2*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1274670*v**4 - 8*v**2 + 54336*v.\nAnswer: -30592080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/17)*y*y**7\/y)\/(y*y**9*(y**(-2)*y)\/y))**43 assuming y is positive.\nAnswer: y**(-688\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l - 2904 = 58*l + n, -2*l = 3*n - 2904. Calculate the lowest common multiple of 30 and l.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let f = 29 - 27. Let r be q(f). Let m(j) = 3*j**2 - 1. What is the units digit of m(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91968, 92141, 92304, 92451, 92576, 92673, 92736?\nAnswer: 92759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.95 - 22.95. Which is the second smallest value? (a) 8\/5 (b) -4 (c) 0.04 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p - 6. Let l(g) = 180001*g**3 + 3*g**2 + 2*g. Let t be l(p). Round t to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/190 and -9\/95?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(21)*-5 + sqrt(21))*-6)\/((sqrt(189) - sqrt(21))\/sqrt(7)).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2169*c**2 + c - 19227.\nAnswer: 4338*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.3133 tonnes to nanograms.\nAnswer: 277313300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s + 1. Let q(j) = -5*j**2 + 7*j - 14. Let u(y) = -4*c(y) + q(y). Let f be u(9). Solve f = -0*b - 4*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3190 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 20 = 4*f. Suppose -s = f*s - 10. Calculate the common denominator of 30\/s*(-10)\/(-4) and 119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -24 + -12 + (1 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 127?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 6:06 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3\/8 (c) 58 (d) 3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149 and 1330591.\nAnswer: 198258059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5, 31, 600, 1, 156 in descending order.\nAnswer: 600, 156, 31, 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) - sqrt(275)))*1 - sqrt(66)\/sqrt(96))**2 + 2*-1*sqrt(539)*2 + 4.\nAnswer: -28*sqrt(11) + 4035\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/126 + r**6\/72 - 3*r**5\/4 - 125*r**4\/72 + 125*r**3\/9 - 28*r**2 + 7*r. Find c, given that m(c) = 0.\nAnswer: -5, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58088.6402 - -58063. Let b = 25.528121 + i. Let f = -0.112 - b. Round f to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13242 - 3?\nAnswer: 13235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -2\/9, -60, -1637 in descending order.\nAnswer: 2\/17, -2\/9, -60, -1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 - (-2 + 0 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22726.2 rounded to the nearest one hundred?\nAnswer: 22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 191553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n*n*n*n**(-4)))\/n))\/(n*n*n**(1\/8)))**(-7\/5)\/((n\/(n\/(n**1*n)))**(-6\/25)\/(n\/(n\/n**(3\/2))*n*n**(-1))) assuming n is positive.\nAnswer: n**(991\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 821605*h + 391718*h + 1064988*h - 212374*h.\nAnswer: 2065937*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let s = 376 + -378. Let t = -3 - -8. What is the nearest to k in -11, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 1468 - 2522 = 0. Let k = n - 404. List the prime factors of k.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*2\/(-8)*6. Suppose 62*f + 16 = 54*f. What are the prime factors of (300\/5 + -1)*(p + f)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2469742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11508 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/7 + 51\/238)*0*-1. Solve h - 22\/7*p**2 - 4\/7*p = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.1834 - 24.\nAnswer: -16.8166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 234259.6 to the nearest 100.\nAnswer: 234300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42979.\nAnswer: 42979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 4.443?\nAnswer: -0.8886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by (3\/6)\/((-2)\/(-100))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3339*c**3 + 3342*c**3 + 9745*c - 6682*c**3 + (2*c - 2*c + 2*c**3)*(-1 + 4 - 5) + c**2 + c**3 - c**2.\nAnswer: -4*c**3 + 9745*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**3*u)**(1\/28)\/(u*u*u*u**(-3\/2)\/u*u)**8)**(-2\/7) assuming u is positive.\nAnswer: u**(331\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2. Let b = -8 + 13. Let v(s) = 86 - 86 - b*s. What is v(g(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, 2, -3, -1.389487, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + -1 + 2\/(-8)*-4. Let o be n\/((-14)\/(-4)) + 8\/4. Solve a - 3 + o = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j + 1. Let y = -1.4 - -1.2. Which is the closest to 0.1? (a) j (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j - 280 = 78*j - 140*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -60259.25 to the nearest one hundred.\nAnswer: -60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 242, 237, 230, 221, 210?\n\"Answer: -d**2 - 2*d + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2. Let j be (-2)\/4 - 81\/(-18). Let z(y) = 0*y**2 + j*y**2 - 5*y**2. Determine z(w(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*q - 1319 = 0, -4*h - 3*q - q + 1772 = 0. Suppose -h = -r - 2*r. Suppose 5*s - r = s + 5*y, 2*y = s - 36. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 97*z + 40*z + 295*z + 5*z**3.\nAnswer: 2*z**3 + 432*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5614139ml?\nAnswer: 0.0005614139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332743168?\nAnswer: 2, 397, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/18)\/(2\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23322 - -41341. List the prime factors of h.\nAnswer: 37, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.2047 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1763\/1305 - -112\/45. What is the common denominator of d and -23\/18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2572*v**4 - 15084788*v**3 - 22110561276*v**2 + 22056828724*v + 68819912 = 0. What is v?\nAnswer: -2933, -2\/643, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/15 - (-45024)\/(-20). Let l = 3986 + t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = 0, 21*u + 27 = 22*u + 3*z. What is the remainder when 163 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.99 - -0.01. Let f = a + -17. Let d(j) = 6*j + 17. Let m be d(-3). What is the nearest to 0 in 0.03, m, f?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16851*x**5 + 38176*x**2 wrt x?\nAnswer: 1011060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*a**3*x**3*y**3 - a**3*x**3*y**2 + a**3*x*y**2 + 7*a**2*x**2 + 4*a*x**2 - y**3 wrt x?\nAnswer: -564*a**3*y**3 - 6*a**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 136.915\nAnswer: 684.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105204 divided by 11.\nAnswer: 9564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/15927007?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3484819*s - 3468520?\nAnswer: -3484819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 1. Let z be o(1). What is the second derivative of 2 - 9*i - 1 - 1 - z*i**2 wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(3\/35))*x**(-30)*x*x*x assuming x is positive.\nAnswer: x**(-948\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264905 + 264894. Suppose 3*i = 2*p - 1 - 4, 22 = 2*i + 5*p. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791576534?\nAnswer: 2, 7, 56541181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 735.2 + -6207305051\nAnswer: -6207304315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.6 times -0.7?\nAnswer: 26.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xftjjjjijjijihtj. What is prob of picking 1 x, 1 i, and 1 j?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-4)\/(-1 + -3). Let n = -1.2 - -0.2. Let g = n + 2. Which is the third biggest value? (a) g (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2745, 0, 15, -4 in decreasing order.\nAnswer: 2745, 15, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*b - a, -44*a - 118 = -2*b - 40*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*u + u - 3620. Suppose -u*w - 60 = -183*w. What is the smallest common multiple of 33 and w?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**8\/16800 + w**7\/2100 + w**6\/900 - 2*w**4 - 3*w + 1. Let b(r) be the third derivative of y(r). Factor b(c).\nAnswer: 2*c*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 423, 5 in increasing order.\nAnswer: 0, 5, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-25))\/((-22)\/1045). What is the greatest common divisor of 152 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t + 12. Let w(d) = -d**3 + 5*d**2 - 4. Let j be w(5). Let g be u(j). Suppose y + g = 5*y + 5*h, 71 = 3*y - 5*h. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 10. Let x = 1 + w. Suppose 9922 = x*o + 19209922. Round o to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-9\/2))**(-32)\/((w\/(w\/(w\/(w*w\/(w*w**(2\/9)))))*w*w\/(w*w**(-1\/6))*w*w)\/(w**(-2\/9)\/w**(-3))) assuming w is positive.\nAnswer: w**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*g + 49 = 0, o + g + 59 = -2*g. Is -423\/8 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.8 - 2.8. Sort -0.5, j, 0.4, -1\/3.\nAnswer: -0.5, -1\/3, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/14*(-184)\/17. Let u be (2 + 8\/(-3))\/((-153)\/243). Let t = k + u. Sort -2\/23, t, -1 in ascending order.\nAnswer: -1, -2\/23, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29686 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 0 = 5*i. Let q be 2*1 + i + 1. Let c be (5 + q)*2\/5. Solve o = -c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32239279 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p. Let y be (-2 - (-2 + -3)) + 1. Suppose p = -c + y. Solve -2*a + a = -c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 2, j: 1, x: 1}. Give prob of picking 1 s and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 210, 232, 262, 300, 346?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -1\/10 (c) -1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*a + 152*a = 8624. What is the remainder when 277 is divided by a?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -375 + 654. Is i smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*c - 7 = 0, -6*h + 2*h + 18 = -2*c. Suppose h*f = -3*w + f + 16, -w - 3*f + 8 = 0. Let j(v) = -v**2 + v + 1. What is j(w)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31885237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -910167260 to the nearest 1000000.\nAnswer: -910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*u - 11, -u - v + 3*v = -9. Suppose 0 = -x + u*x + 940. Let d = x + 404. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.9 (b) 3\/8 (c) -0.3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 26. Let b = -9 - r. Is -13 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 5 (c) 3.3 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/q**(-3\/5)*q)*q*q*q**12)\/(q**(-2))**14 assuming q is positive.\nAnswer: q**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 63. Let o = u + -60. Let c be 3 + o\/12 + 22\/4. Let w(j) = -j**2 + 5*j - 1. What is w(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/9)\/((-1)\/354)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (635\/(-254)*3\/(-10))\/(6\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbbbibbbbbbbbbbbbb. Give prob of picking 1 h and 1 b.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, 5, 296317\/2 in descending order.\nAnswer: 296317\/2, 5, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -3, -3.7, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9967 is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30.7, 2\/3, -0.1, 3 in descending order.\nAnswer: 3, 2\/3, -0.1, -30.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25206*b**2 + 33206*b wrt b.\nAnswer: -50412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 189*m + 1184. Give q(-7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109365*v**2 + 43047*v**2 + 53092*v**2 + (-v - 2*v + 5*v)*(-v + 5*v - 2*v) + (v - 3*v + 1 + 0)*(3*v + 0*v - 2*v) to d*v**2 + w*v + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/13)\/z*z*z))**43)**(7\/3) assuming z is positive.\nAnswer: z**(301\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*l - 77 = 45, -15 = -5*l. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 4 (b) 2\/51 (c) -1 (d) -0.143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 - 166 = 6*u. Let a = 50 - u. Let g(k) = -k**2 + 7*k - 6. Let l be g(a). Calculate the greatest common divisor of 18 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 56*x**2 - 84*x - 28654. Give b(-41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1926*h**2 + 3*h**3 + 602*h**2 + 678*h**2 + 646*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 15*j**2 - 11*j - 8. Determine w(7).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24223123 + -7?\nAnswer: -24223132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgqq when four letters picked without replacement from tuuuquqquzqqquqguquu.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -f7?\nAnswer: fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 41*x**2. Let o(n) = 9*n + 11. What is o(i(c))?\nAnswer: 369*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = 4*y. Let n(o) = o**2 - 2*o + 1. Let z be n(3). Sort -2, z, y in ascending order.\nAnswer: -2, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1357249, 2714520, 4071813, 5429140, 6786513, 8143944, 9501445, 10859028?\n\"Answer: 2*j**3 - j**2 + 1357260*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -587 divided by -980321?\nAnswer: 587\/980321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80.5*-4.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16297195289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 54. Let h = 25 - b. Suppose h*t = -t. Solve 2*z - 3*d - 11 = 12, 4*z + 3*d - 1 = t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2959*y**2 + 13 - 13.\nAnswer: 2959*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2 + 115. What is the derivative of 4525*h**2 + 39*h**3 - 4525*h**2 + l wrt h?\nAnswer: 117*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -18.56, -0.3, 3\/7?\nAnswer: -18.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13.336056s?\nAnswer: 0.2222676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7339*i + 5*i**2 - 6*i**2 - 7339*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7 + (11 - 3 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3393 - -4811. Let b = h + -1414. Let o(n) = n. Let f be o(4). Solve 0 = b*k - 0 - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1. Let n(d) = -d + 2. Let y be (8 + -6)*(0 - -2). Suppose -b + 3*x + 0*x = -y, -3*b + 5 = -2*x. Give b*n(p) - 2*o(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1 + 3 - 3 - 4*t. Let g be h(-1). Put -4, 3, g in descending order.\nAnswer: g, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618667809.\nAnswer: 3, 2269, 90887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2)*(-1)\/2. Let w(t) = -28*t + 105*t - 19*t + 2 - 29*t - 21*t - 1. What is w(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 534 + 285 = -77*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1800) + (sqrt(1800)*2 - sqrt(1800)) - sqrt(1800)))**2 + sqrt(1800).\nAnswer: 210*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -481 - -476. Let c(t) = 2 - 3*t**2 - 4*t**2 - 33*t**3 + 34*t**3. Let d be c(7). What is the closest to 0 in 1\/6, d, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 956 - 4701. Suppose -2*h + x = -308, 4*h - 71 = -3*x + g. List the prime factors of h + -1 - (-4)\/(-4).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from gzyqzyqyyg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-13)*172\/86.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k - k**2 + 12*k - 2*k - 2 as o + h*k**2 + j*k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 125708837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4, -4431\/530 in increasing order.\nAnswer: -4431\/530, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**3 - 948*t**2 - 6481*t - 2386. What is q(125)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.3 + 9.7. Let z = w + -45. What is the smallest value in z, -2, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -1, 9, 2 in decreasing order.\nAnswer: 75, 9, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.08817um in kilometers?\nAnswer: 0.00000005408817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 338.692l?\nAnswer: 338692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 25*y + 10. Let m = -108 + 89. What is the tens digit of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Suppose p = -2*r - r. Let o(l) = l - 6. Calculate o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15449593, -15449595, -15449597, -15449599?\nAnswer: -15449601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 + 6*m - 8. Determine q(-7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -190.9 and 53982451473.\nAnswer: 53982451282.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51015376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjtt when four letters picked without replacement from {z: 3, v: 2, j: 5, t: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 1006, 1510, 2016, 2524, 3034?\nAnswer: 3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**3 + 2*o**2 + 2*o + 34. Let d(a) = 7*a**3 + 3*a**2 + 3*a + 35. What is -2*d(i) + 3*p(i)?\nAnswer: i**3 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) -65.8 (c) 1\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 26*q**2 + 3*q - 25. Let s be p(-14). Calculate the highest common divisor of s and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, 1, 5, 3 in ascending order.\nAnswer: 1, 3, 5, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18542236 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 535. Let b(w) = -2412*w. Determine b(q(p)).\nAnswer: -4824*p**2 + 1290420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.7. Let l = 7143 + -7145. Which is the third smallest value? (a) y (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20493821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/36*0)\/1. Suppose -22*x + 29*x - 69986 = l. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 4) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = t - 4*t. Let v be t\/2*-1*2. Let c(a) = a**3 - 6*a**2 + 8*a - 4. Calculate the remainder when c(v) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/3 + 49*t**4\/3 + 298*t**3 + 4108*t**2\/3 + 7352*t\/3 + 1536.\nAnswer: -(t - 64)*(t + 2)**3*(t + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0.2, -22, -1.09 in descending order.\nAnswer: 0.2, -1.09, -22, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1739, -3525, -5311?\nAnswer: -7097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -7. Let l be g\/(-28) + (-44)\/(-7). Solve 0 = 4*r - 2*r + l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2751564 - -5?\nAnswer: 2751569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*f - 2 = -144*f. Which is the closest to 1? (a) f (b) 1\/4 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 12:32 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-15)\/(l*l**(-1\/5)))\/(l**0*l*l**(3\/10)))**14 assuming l is positive.\nAnswer: l**(-1197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (0 + -1 + 12) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*z + 3 = 0, 371*t = 375*t + z + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10855 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1226 - 1217 + 11*g - 3*g**2 + 2*g**2. Let b(p) = p**2 - 10*p - 8. What is -7*b(h) - 6*t(h)?\nAnswer: -h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/50? (a) -3\/2 (b) 3\/2 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53048 and -39.\nAnswer: 2068872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1*5*(-6)\/(-165)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 8. Let i(r) = 4*r**2 - 4*r**2 + 3*r**2 - 1 - 2*r**2. Let f be i(0). Let v(g) = g - 1. Calculate f*q(l) + 6*v(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.3662 - 8.0662. Let o(c) = -2*c**2 + 3*c - 2. Let a be o(5). Sort a, -2\/3, u, 2\/11 in ascending order.\nAnswer: a, -2\/3, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 52 = -13. Let k(b) = 0*b**2 + 11 - 3 + 14*b + b**2. Let p be k(m). Is p less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 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 -568910298 divided by -1?\nAnswer: 568910298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-41 - -9) + -2 + 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111315 and 6765.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:19 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2433 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**8\/40320 + n**6\/1440 + n**5\/20 + n**2. Let v(f) be the third derivative of m(f). Suppose v(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598006*y**2 + 659548*y**2 - 208424*y**2.\nAnswer: 1049130*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:05 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3247072?\nAnswer: 2, 29, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -389*h**5\/5 - 240*h**3 + 188. Find the third derivative of n(w) wrt w.\nAnswer: -9336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*a + 70, 4*k - 2*a - 3*a = 98. Let c = 24 - 14. Suppose g - 4*i = 4*g - c, 5*g - 5*i = 5. What is the lowest common multiple of k and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (23 + -21 - (-2 + -5)) - (-75 - 6).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 2514*g**2\/5 - 12608*g\/5 - 15144\/5.\nAnswer: 2*(g - 1262)*(g + 2)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a + 6. Let y be 0*1\/a*1. Suppose -3*l + p = -y*p - 13, -5*p - 15 = -5*l. What is the remainder when 14 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39561363967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -11\/4, 2, -5, 3\/2?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*b**2 - 1318*b**2 + 791*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + -7.4. Let p = 0.4 + -0.2. Which is the closest to 1? (a) i (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14991 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n + 6 - 65*n - 2*n**3 - 15*n**2 + n**3 - 20. What is the tens digit of r(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/9 + 25\/9. Suppose 3*r - 571 = r + 5*t, 577 = 2*r - q*t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2)*-3 + (-5 - (-6 + (-300)\/65))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 12:30 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**6\/120 - m**5\/60 - m**3\/3 - m. Let u(d) be the second derivative of j(d). Find the second derivative of u(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7580291 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 40, p = -c + 32 + 54. What is the remainder when 282 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 20*q - 12. Let s be k(8). Suppose 0 = -3*p + 15, -2*g - g - 3*p + s = 0. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/5)*t)\/t**(4\/9)*((t*t\/((t*t**(-1\/3))\/t))\/t)\/((t*((t\/t**5)\/t)\/t*t)\/t))**23 assuming t is positive.\nAnswer: t**(7958\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**1*h)\/h)**40)**18 assuming h is positive.\nAnswer: h**2160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 1626 - 302 = 0. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/120 + 7*c**3\/30 + 2*c**2 + 9*c + 45. Solve l(v) = 0 for v.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 22382703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19003.12 millennia to years.\nAnswer: 19003120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554435.\nAnswer: 3, 5, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 10*a**2 - 55*a + 85. What is the smallest common multiple of 2145 and l(14)?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l**5\/5 + 343746*l**4\/5 - 251958*l**3 + 725286*l**2\/5 - 114516*l\/5 = 0. Calculate l.\nAnswer: 0, 1\/3, 3, 6362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7169 + -7099. Solve -h = -15*h + j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*((-17)\/(-20) + 3\/(-12)). What is the closest to 1 in -5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52637 - -52637.000061209. Round q to six dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056083600 divided by -520.\nAnswer: 2030930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:10 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610328261.\nAnswer: 3, 19, 28251373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*d - 9*d = 715, 3*a - 5*d - 433 = 0. Calculate the remainder when (-5 - -1 - -1) + a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1536)\/1152*(1 + (-353)\/2). What is the greatest common factor of u and 3354?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)*a)**16\/(a*a*a**(-3)*a**(-4\/5))*(a*a\/a**0*a)**(-45)\/(a**(-3)\/(a\/(a**(-1\/3)\/a))) assuming a is positive.\nAnswer: a**(-1738\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 542102?\nAnswer: 542110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*u**3 - 35*u + 4.\nAnswer: -432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 25*p**3 - 3.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-14)*0\/2. Suppose 8*b + 100 = 5*c + 3*b, o = 2*c + 5*b - 47. Calculate the least common multiple of (-139)\/(-7) - (-3)\/c and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 2*o + 187*o**3.\nAnswer: 187*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15420*f**3 + 2346*f**2 - 2*f - 368034673 wrt f?\nAnswer: 46260*f**2 + 4692*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -24, 0.4, 0.09, 0.5, 0.13?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 - 89 + 283 - 96 - 98.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-6) + (-8)\/12. Suppose -5*b = m - 81, 5*m = d*b - 33 - 21. Suppose -65 = -u - 14. Calculate the greatest common factor of b and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3\/3 - l. Let f(y) = -2*y - 3. Let s(p) = 3 - 4 - 2*p - 1. Let d(w) = 2*f(w) - 3*s(w). What is u(d(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11645 - 10560. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12855 * 1451\nAnswer: 18652605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2444736 and 3264.\nAnswer: 2444736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2052)*-4 - sqrt(2052)) + sqrt(2052))\/(sqrt(18)\/sqrt(600)).\nAnswer: -240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/140044 and -3\/4280.\nAnswer: 149847080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6744 - 1274 = 2*u - k, -2757 = -u - 5*k. What is the least common multiple of 3 and u?\nAnswer: 8211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*o**5 + 26*o**5 + 194*o**6 - 3038*o**4 - 102*o**2 + 3039*o**4 wrt o.\nAnswer: 23280*o**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-16)\/v))\/(v**(-4)\/v) assuming v is positive.\nAnswer: v**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l + 5. Let t(q) = 3*q - 1. Let h be t(1). Suppose -b + h*b = -2. Sort 4, b, l in decreasing order.\nAnswer: 4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12653214 (base 7) to base 16.\nAnswer: 11e55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*h = 98*h - 2. Solve -2*j + 7*d = h*d + 6, -2*d = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 8*v = 4*i + 4, 5*v - i - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3826*x**5 - 6449716*x + 6449716*x)*(1 - 3 + 7).\nAnswer: 19130*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.69, 58\/7, 2?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**2. Let w(h) = 100880756*h. Determine j(w(s)).\nAnswer: -81415415449052288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f**3 - 2*f**2 - f. Suppose -5*v - 14 = -3*k, 0 = -v - 3*k + 3 + 5. Give b(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 17 = 179*g - 159*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 789 + 1220 = 0. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 (base 14) in base 13?\nAnswer: -1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-12)\/8 - 20\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(30*y + 74*y + y - 16*y + (0 - 1 + 2)*(0*y - y - y) - 4*y + 4*y - 2*y + 2*y + 4 - 4) to t*y + p and give t.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 9*l**3 - 1 + 4.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -95.241 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.222576ms in seconds?\nAnswer: 0.009222576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1217 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**3 - 22*n**3 - 13*n**3 + 19*n**3.\nAnswer: -34*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32 and 520988?\nAnswer: 520956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 + -15055313\nAnswer: -15055313.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1889 + -1889.35. Let r = -0.38 - 0.1. Let t = x - r. Round t to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1\/2 (b) -1\/17 (c) 1\/4 (d) 1 (e) -0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in 6, -6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (2 - -2 - 2). Suppose -n - 4*d = 104388, 5*d = 11 + p. What is n rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**8\/20160 + y**7\/1008 + y**6\/240 - 7*y**5\/60 + 13*y**2. Let f(s) be the third derivative of t(s). Calculate f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/18 and -113\/498?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 - y**2 + 2*y**2)*(-2*y + 4*y - 4*y + (-1 - 1 + 0)*(0*y + 0*y - 2*y)) to the form j*y + d + u*y**2 + h*y**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -45, -121, -227?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (44 - (11 - -31))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 289 in -1, 4\/3, 0.8, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(10\/25)\/((-108)\/15)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 689249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6502291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 49. Suppose 818*n + 2*y = 815*n + 108, -y = n - 35. Calculate the remainder when n is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2*(-2)\/(-4)). Suppose -3*x + 9 = -3*p, 3*x - 11 = -2*p + 3. Suppose -x*l + 0*l = 16. Put 2, l, v in descending order.\nAnswer: 2, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -136362454?\nAnswer: -136362461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**3 + 3*m**2 - 2*m + 2. Determine b(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 37, -1409?\nAnswer: -1409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:07 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/26630 and 97\/53260?\nAnswer: 53260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.8, -18, 2\/7, 161, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5872571 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdm when three letters picked without replacement from lmlcccccccldlccl?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, -4 in descending order.\nAnswer: -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - 1) + 1 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (1 + sqrt(425) - sqrt(425)))**2*-3 + (0 + sqrt(1088))**2 + sqrt(17) + 4 + (sqrt(51)\/sqrt(3))**2.\nAnswer: -169 + 31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*c = 143*c - 47. Which is smaller: 1\/12202 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213 - 370*r**2 + 513 + 72*r**2 - 421*r**2 - 27 wrt r.\nAnswer: -1438*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355364 (base 7) to base 8\nAnswer: 175516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 26*k**2 - 29*k + 91. Let u be g(-27). Suppose -u + 1790 = 5*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -2.8. Let g(h) = h**3 - 4*h**2 + 5. Suppose -4 = 5*q - 24. Let i be g(q). Which is the third biggest value? (a) -2 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 + 55*t + 79. Is g(-15) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3142 + -3233.68. Let z = 92 + o. Sort z, 0.1, -2\/5 in ascending order.\nAnswer: -2\/5, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217932240?\nAnswer: 2, 3, 5, 67, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -105\/6653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:05 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 154849 + 17619. Round o to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5 = 2*o, 5*o - 1133733 + 1133561 = 49*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3728*l**3*s - 3*l**2*s + 2*l**2 + 12*s + 2 wrt l?\nAnswer: 22368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -55. Suppose 2*z + 37 = 3*t + z, -n*t - 3*z = -45. What is the remainder when 70 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 19. Let f(n) = n + 10. Let k(q) = -13*f(q) - 6*s(q). Let j be k(3). Let i be 1 - (1 + j + -2). Solve c - 1 - i = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109 = 5*q - 1761. Let w = -79 + q. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 20796*v - 354399.\nAnswer: 3*(v - 17)*(v + 6949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(5\/4))\/(y*y\/(y*(y*y**28)\/y)))\/((y**(5\/7)\/y)\/y*y*y*y*(y**(2\/5)*y)\/y) assuming y is positive.\nAnswer: y**(3449\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o)**(-37) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**2 - 557. Let w(i) = 14*i**2 - 1668. Calculate 11*m(p) - 4*w(p).\nAnswer: -p**2 + 545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*h + h + 14, -3*j + 2*h + 16 = 0. Let b be 3*(14\/(-63))\/(j\/(-3)). Is -2\/33 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5350 and 40125?\nAnswer: 80250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -67. Suppose m + 12*v = c*v + 178, 0 = m + 4*v - 174. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28418.9207 to the nearest ten.\nAnswer: -28420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*z = -7*z - 69, 3*s - 96 = -3*z. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24736, -49445, -74154, -98863, -123572, -148281?\nAnswer: -172990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = 115 - 3 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 5*i**2 + i - 3. Let k(y) = 2*y. What is 11*k(s) - 2*m(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18206, 72678, 163458, 290546, 453942?\nAnswer: 653646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 250, -5, 12 in increasing order.\nAnswer: -5, 12, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1d56a (base 14) to base 8\nAnswer: 222632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 - t + 2. Let n(d) = d**2 + 6*d - 46. Let q be n(-11). Let i(s) = 17*s**2 + 5*s - 8. Calculate q*r(b) + 2*i(b).\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*g + 6*g. Suppose -6*o = 5*o - 803. Let j = -69 + o. Solve -t - 4*b + 17 = 0, j*t + 5*b - g = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1058998\/5 or 211799?\nAnswer: 1058998\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 16, 16, 2, -32, -92, -184, -314?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-26)\/a)\/a**(2\/13) assuming a is positive.\nAnswer: a**(-353\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 202849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385752 and 4632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 148*z = 147*z - 7, -5*i - 10 = -5*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*g = 20, 0 = 4*p - 4*g + 5*g + 4. Solve p = -60*y + 67*y - 42 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10251 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1161 + 0.3931. Let s = -4.323 + 4.3. Let i = j - s. What is the nearest to -1\/4 in 0.5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 = 3*x - p, 3*x - 5*p + 16 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1239*5.929\nAnswer: -7346.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 149 or 591\/4?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -68.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 5 + (8 - 6). Suppose 4*a - 35 = -5*s, -2*s + 3*a + 2*a = 19. What is the units digit of (52\/16)\/(s\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -22. Let c = 16 + i. Let q(t) = -5 - t**3 - 2*t + 3*t - 2*t**2 + 4. Give q(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*m + 15*m + 24*m - 1341 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11867 - -22445. Is p a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2498 + -2504. Which is the biggest value? (a) -3 (b) 0.07 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 w, and 1 k when four letters picked without replacement from kqkskpskwppwpffkks.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -96360 (b) 4\/15 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5614*y**3 + 12*y**2 - 37*y wrt y?\nAnswer: 33684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b + 21962 + 17974 + 53*b.\nAnswer: -2*b + 39936","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 4 + 2 - 2 + 1 + (1 + 1 + 0)*(4 - 2 + 0) - 1 - 1 + 1)*(-6 + 3 + 11)*(634 - 35*a - 634).\nAnswer: 280*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:33 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 13*w**3 + 9*w**2 + 8*w - 17. Let s(v) = -3*v**3 - 2*v**2 - 2*v + 4. Let j(l) = -l**2 + l. Let o = 36 + -34. Let r be j(o). Calculate r*a(d) - 9*s(d).\nAnswer: d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 93426971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 14*c**2 + 16*c + 16. Let f be x(-15). Let q be -10 - -2*(-2 + f). Which is greater: -14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-224)*(-5)\/(-1)*36\/(-42).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u**2 - 7*u - 2. Let g(o) = -6*o**2 + 3*o + 1. Let w(x) = -7*g(x) - 3*t(x). Let r be w(-3). Let b = r - 24. 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 seventeen quarters of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.9, -2\/11, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115453.6671 rounded to zero decimal places?\nAnswer: 115454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1789 >= -1788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5101.5 + -5102. What is the third biggest value in 1394, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 0, -2*g - 21 = -3*d + g. Suppose 5*r + 4*w = -4, 0 = -5*r + 3*w - d + 5. Solve 0*j + 20 = -o - 4*j, -2*o + 2*j = r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4148.518 days in minutes?\nAnswer: 5973865.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1268535 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228217591 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 108, 63, 6, -69, -168?\n\"Answer: -d**3 - 38*d + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 4*f**2 - 7. Let q be b(3). Let k be (-773)\/(-2142) + q\/(-9). Let j = k + 5\/34. What is the closest to j in 0.4, -3\/2, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*-3 - 0 - (-637 - -624). Solve 0 = -4*t + 4*b, q*b = 5*b + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -93, -157, -229, -309, -397, -493?\n\"Answer: -4*i**2 - 44*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 396, 1187, 2496, 4323, 6668, 9531, 12912?\n\"Answer: 259*n**2 + 14*n + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7213\/1953 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - y**3 - y**3 + 102 + 91.\nAnswer: -2*y**3 + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -1319?\nAnswer: 17\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -3*c + 139. Is c equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v**2 - 1. Let g(m) = 3*m**2 - m + 1. Let s(k) = -8*k**2 + 3*k - 3. Let p(f) = -3*g(f) - s(f). Determine z(p(i)).\nAnswer: 10*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/5 + ((-7)\/(-1) - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -104\/3, -99\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 - 3*h + 3. Let z be p(3). Suppose 0 = m - 5*m + z. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3, -4, 0.27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 3 + 3)*(3 - 2 + 0) + 35*i + 5*i - 18*i in the form s + g*i and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13230 (base 7) to base 13.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -7. Let i = 31.8 + -2.2. Let k = i + -29. Which is the third biggest value? (a) s (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 25*l + 12. Calculate z(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23989343695496.0818 - -23987708055609.08179981. Let t = n - -1635639865. Let w = t + 22. Round w to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 17, 341, -7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 1, i: 6}. What is prob of picking 1 i and 1 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.2427851 to 3 dps.\nAnswer: 5.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -23. Solve -k*h - 3*n - 1 + 2 = 0, 1 = 2*h + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5286279.\nAnswer: 3, 787, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 11*m**4 - 3*m**4 + 29*m**4 + m - 6*m**4 as s*m**2 + y*m**3 + k + o*m**4 + z*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768 divided by -442?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -88?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = 0. Let o = k + 61. Let s = 47 - 31. What is the remainder when o is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 10*f**2 - 12*f.\nAnswer: -2*f*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 4*f + 1. Let t be v(3). Suppose -t*c = -5 - 11. Let s(q) be the first derivative of q**3\/3 - 2*q**2 - 2*q - 8. Give s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*n - 88 = 181*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-9)\/(-3))*21\/1680*10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1542 + 14?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*c, 2*g - 25*c + 10 = -20*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3.8\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:32 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3185 and 367255.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275 + 232 - 16*g + 286 - 882 to the form k + u*g and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1720 by 40.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -75*v**3 - 72*v**3 - 4*v + 146*v**3 - 26 - 18*v**2. What are the prime factors of r(-18)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 159516?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14058, 31324, 48590?\nAnswer: 65856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(704) - 6*-1*sqrt(704) - sqrt(704)) + 3)*5*-1)**2.\nAnswer: 115200*sqrt(11) + 10141200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*g**3*p**2 - 10413*g**3*p + 46*g**2*p - 28*g*p**2 + g - 3388*p**2 wrt p?\nAnswer: -134*g**3 - 56*g - 6776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10425744 divided by -4.\nAnswer: 2606436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 303848495.8 rounded to the nearest 10000?\nAnswer: 303850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 23. Let n = -97 + 169. Let k be ((-2)\/1)\/(n\/204). Which is greater: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637608120 divided by 510?\nAnswer: 1250212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.5 (b) 3 (c) -0.2 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4715175 - 4712511.451. Let c = -2661 + x. What is c rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 + 4*l - 6*l**2 + 4*l**2)*(-2*l**3 + 1 - 1).\nAnswer: -8*l**5 - 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -20. Calculate the remainder when 15 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.01859.\nAnswer: -0.01859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 - 52.6. Let y = g + 49.2. What is y rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.0026 (c) 3 (d) 13\/5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 - 2)*42\/36*-2. Let x = 44 - i. Solve -x*h + 8 + 0 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.56 * -5\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 152907, 4, 0, 88 in ascending order.\nAnswer: -3, 0, 2, 4, 88, 152907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1534*s = 1542*s - 13136. Is s less than 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101100010 + -100?\nAnswer: -110101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -20. Let i = f - -8. Solve -5*d + 4*n = -3, n = 3*d - i + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 5. Let v be y(0). Let s be -3 + (-3 + v - 4269). What is s rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**3*u**4 - 110*p**3*u**2 - p**3 + 21*p*u**4 + 3*p*u**3 + 1402*p wrt u.\nAnswer: 144*p**3*u + 504*p*u + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-9))\/(1\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 758875253 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101 + -1111100011?\nAnswer: -1010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 865254 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 78. Suppose -14*g + y = -8*g. Suppose -2*u = -2*a - 560, 1124 = g*u + 2*a - 5*a. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1620 = 4*j, 1476 = 2*z + 5*j - 144. Let w = 859 - z. What is the greatest common factor of 28 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 20. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177254, 178356, 180194, 182768, 186078, 190124?\nAnswer: 194906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 23*u + 12. Let m be a(-8). Is 1\/((4\/(-1))\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-5 + (-4 - 1))) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4888*a*h + 169*a - 3 wrt h.\nAnswer: -4888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 5 + 0*r**3 + 4*r**2 + r**3 - 7*r**2 to the form w + v*r**3 + c*r + n*r**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 17 - 7)*(2 + 3 - 2)*(-2*i + 2*i - 2*i + 6*i**4).\nAnswer: 414*i**4 - 138*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 0*g - 15 = g, 4*g + 22 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 7*w**4\/4 + w**3\/3 + 10. What is the third derivative of d(l) wrt l?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4029\/260 not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21702879 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -106*d - 25. Let u(q) = 69*q + 17. What is 5*r(t) + 7*u(t)?\nAnswer: -47*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 16, 124, 390, 880, 1660?\nAnswer: 2796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 5)*8 + 3. What is the units digit of (70\/(-8))\/(a\/(-76))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -2\/3 (c) 17 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 1298\/39?\nAnswer: 1298\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*n**2*t - 128781*n*t**3 + t**3 + 28180*t**2 + 159 wrt n?\nAnswer: -52*n*t - 128781*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(105\/168) - (21 + -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102170201*13\nAnswer: 1328212613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 12) in base 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13176\/378 + -26)\/((-1)\/(-7)*(4 + -8)).\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.07 (b) -0.0686 (c) -2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1109 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259 + 410. Suppose -2*t + 5*p + 95 = 0, 0 = 2*t - 6*t - 3*p + j. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/5*-1 - (-165)\/(-275). Let g(f) = -f + 2. Let o(i) = -6*i + 15. Suppose 29 = -5*r - 46. Calculate d*o(s) + r*g(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(34)\/(sqrt(8)\/sqrt(4)) + (sqrt(170)\/(1*sqrt(10)) - ((sqrt(17)*1)**2 + -4)) + -1)*-6.\nAnswer: 6*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 2*x**2 + 2*x**2 + (-2*x - 2*x - 7*x)*(-3*x - 2*x + 0*x) - 15400*x + 191*x**2 + 15400*x in the form n*x**2 + d + u*x and give n.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let c be s(-5). Let y be (0 + 2)\/(c - 6). Is ((-219)\/y)\/(8\/16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168*x - 61066 = 31206 for x.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34433616 and 2664506?\nAnswer: 447637008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165672 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279356 divided by -3?\nAnswer: 426452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 q when four letters picked without replacement from qaaqgqgg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 3 + 1\/2*j**2 + 1\/3*j**3 - 1\/4*j**4 + 7*j. Let u(q) = q - 1. Let o be u(1). Determine k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2670212*y**2 + 2670188*y + 24.\nAnswer: -4*(y - 1)*(667553*y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2715\/5 + -4 - -4?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 12*a + 93 = 3*o, o = 2*a - 68. Suppose 0 = -a*t + 71 - 5. What is the greatest common divisor of t and 150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)\/((-7)\/21) + 1. Suppose -2*k = -y - 2. Solve 0 = -k*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 23*b + 20. Let p be k(22). Let x be (3 + -2)\/(p*4\/(-48)). Let u(g) = -2 + 94*g + g**3 - 38*g + 5 + x*g**2 - 50*g. Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 8*t**4\/5 - 14*t**3\/5 - 2*t**2\/5 + 14*t\/5 - 6\/5 = 0.\nAnswer: -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a - 226. Let l(n) = -6*n + 151. What is -7*l(q) - 5*m(q)?\nAnswer: 2*q + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/15)\/f**(-3\/2)*(f\/f**(-2))\/((f**(2\/7)\/f)\/f) assuming f is positive.\nAnswer: f**(1319\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -68, -115?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 651 - 1625 = 0. Let t be 24\/108 - (-2 - n\/(-18)). Let u = t + 82. Which is smaller: u or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1966*u. Let q(w) = -2*w**2. What is x(q(y))?\nAnswer: 3932*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 10*q + 3*s + 89 = -7*q + 23*q, 2*s = -5*q - 56 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 - 203.000003. Round l to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 - 2*r - 4. Let w be v(-3). Suppose -6 = -w*q - 0. What is the third derivative of 1010*b - 1010*b - q*b**2 - 11*b**5 wrt b?\nAnswer: -660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/39 - 2418\/(-338)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + 9.92. Which is the third biggest value? (a) 5 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2 - 4*d + 1)*(-9*d**4 + 13*d**4 + 27 - 23).\nAnswer: -24*d**5 - 4*d**4 - 24*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 29942.2 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 24*w + 1164. Let t be f(-48). Let j = 11 + -8. Suppose 0 = u - j*a - 20 - 19, 0 = 4*a + 20. Calculate the highest common divisor of u and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11247000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -32*p**3 - 5*p**2 - 11. Let a(u) = -16*u**3 - 2*u**2 - 5. Let r(x) = -9*a(x) + 4*l(x). Give r(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 647 + 136 + 26*x**2 - 2*x + 7*x.\nAnswer: 33*x**2 + 5*x + 783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 + 693 - 693.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 5, 52, 54 in increasing order.\nAnswer: 5, 52, 54, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 529*n - 2296. What is the remainder when d(10) is divided by 1491?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 7*r - 8. Suppose 5*a - 4 = -5*b + a, 5*a + r = -3*b. Solve v - 2*v = 3*l - 12, -b*v - 4 = -l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 80. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2464)\/(-140) - 16) + (-9)\/15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, 42 in decreasing order.\nAnswer: 42, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 524591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and 267310?\nAnswer: -9890470","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 103?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*o + 4*t, -o - 4*o + 3*t = -50. Let a(u) = 3*u**2 - 9*u + 4. Let q be a(o). Calculate the greatest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17702291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g + 1 + 5*g + 0*g. Let j be t(-5). Find the third derivative of 0*p**2 + p**2 - 9*p**6 + 7*p**j wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + -4*9\/12. Suppose -m*o + 2*t + 24 = -414, 0 = 4*t + 20. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 365533, 365204, 364875, 364546, 364217, 363888?\n\"Answer: -329*l + 365862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Suppose -6 = 3*a + 4*p, -3*a - 1 = 5*p + h. What are the prime factors of (-27)\/a - (-1)\/2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -230, -229?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 0 + 2 - 3 + 0*t. Let d be y(-6). Solve k - 2*m = 7, 4*m + 3 + 4 = -d*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4133304 + 104?\nAnswer: 4133412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t**11\/t))\/t*t*t**7)**24 assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225906, -225888, -225858, -225816, -225762?\nAnswer: -225696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8 - ((-51)\/12 - -3). Let b be (p\/7 - 0) + (-2225994)\/(-21). What is b rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -133*y**3 - 9*y**2 + 8*y + 8. Let u(q) = 33*q**3 + 2*q**2 - 2*q - 2. Give -2*n(k) - 9*u(k).\nAnswer: -31*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16505148, 33010294, 49515440, 66020586, 82525732?\nAnswer: 99030878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2515, 5032, 7549?\n\"Answer: 2517*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 + -1 - (-18 + 14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 2*n + 15*n + 9*n - 22*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60364633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715470 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from glpdg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 13*c + 27. Which is bigger: c or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at least as big as -1360\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 518024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -442*b**3*t**2 + b**3*t + b**3 + 24214*b*t + 61*t**4 wrt t?\nAnswer: -884*b**3 + 732*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -32457 (base 8) to base 13\nAnswer: -6274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21947887?\nAnswer: 13, 1688299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmdc when four letters picked without replacement from zdcmkkkeekek.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 56519 and 56519 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*z**4 + 424\/9*z + 208\/9 + 62\/9*z**3 + 92\/3*z**2 = 0. Calculate z.\nAnswer: -26, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21024 + 4 + (-7 - -3). Suppose 21*a = s + 16755. List the prime factors of a.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/3 - 652*b**3\/3 + 2000*b**2 - 10100*b\/3 - 16750\/3 = 0.\nAnswer: -335, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 197*5\/10. Let p = v - 96. Calculate the common denominator of 17\/10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 32*a - 22 = 0. Suppose 14*k = a*k + 15. Solve -5*m + 2*r = -0*m + 7, -k = -5*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**3 - 4141*i**2 - 881*i - 2108. Calculate g(296).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 - -362. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11322100223 (base 4) in base 14?\nAnswer: -2c48c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -236624 times 2\nAnswer: -473248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -4, 307, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -365, -374, -399, -446, -521?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 + 124 = -2*t - 3*f, 8*t - 3*f + 89 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 5*c**4\/24 - 47*c**3\/3 - 109*c**2. Let t be w(20). Solve 0 = -t*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75398022.2 rounded to the nearest one thousand?\nAnswer: -75398000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -n - 85, -4*n + 5*n - 83 = -3*y. Let s be (-6)\/10 - y\/(-5). Suppose -u + s = -1. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -207, 8, 5, -5, -51 in decreasing order.\nAnswer: 8, 5, 2, -1, -5, -51, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -20, -41, -68, -101?\n\"Answer: -3*f**2 - 6*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - ((17 - -2) + -33).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from bbbsbbbssbsbbbssbb.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81513, 163056, 244609, 326178, 407769, 489388, 571041?\n\"Answer: l**3 - l**2 + 81539*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 5 (c) 4\/7 (d) 0 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-16 + -21 + 6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*n = -7061 + 2381 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Let q = -507 + 507. Which is the closest to -0.1? (a) q (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.8. Let v = -17.6 - -20. Let p = v - 0.4. What is the third smallest value in p, -0.5, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvvllvvvul. What is prob of picking 3 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/5 - 2\/(-5). Let l = w - -19. Suppose 3*o + 4*b + 1 - l = 0, -34 = -3*o + b. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245436271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 402*t**3 - 38*t + 38*t - 475*t**2 + 82*t**3 wrt t?\nAnswer: 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 9. Let a be l(-6). Suppose 2*m + m = a. Let w = 0.2235 - 0.2235. What is the closest to w in -5, 3\/8, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:26 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2950*w + 24099 = -164701 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 930.03 from 0.0624.\nAnswer: -929.9676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**3 + 8*h**2 + 4*h - 1. Let o(c) = c**2 + 3*c. Give -7*o(q) + v(q).\nAnswer: -6*q**3 + q**2 - 17*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1012 - -1007. Let y(m) = m**3 + 6*m**2 + 4*m - 2. Let r be y(c). Suppose 4*w = 3*w + 2. Solve r*x - j = w*j, -4*j - 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - ((-12 - 9) + -75)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 0*s**2 - 2*s**2 + 0*s - 6*s + 4 + 5*s**2. What is the first derivative of v(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 241084 - 8?\nAnswer: 241078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 + 5*q + 1. Let b(w) = w**3 + w**2 + w + 1. Let g(t) = 4*b(t) - p(t). Let o be g(4). Let m = o + -126. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-7) + 149552\/(-91). Is 0.4 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99424920.9 to the nearest one hundred thousand.\nAnswer: 99400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -0.22. What is the third smallest value in l, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 455 + -19. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 7*n - 78. What is the remainder when 146 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millimeter in nanometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**3 - 11*w**3 + 5*w**3.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(12\/5)\/(i**4*i\/i**6) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 37613?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -3*d + 4*w, 5*d - 112 - 123 = -5*w. Let y = -519865\/10024 + 7\/1432. Let j = y + d. What is the third smallest value in j, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074214 minus 5289635?\nAnswer: -5289635.074214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/60 and -119\/1356.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288)*-3)\/(sqrt(32)\/(sqrt(4) + sqrt(4)*2) - sqrt(8)))\/((sqrt(972) + sqrt(972) + 1*sqrt(972))*3*5).\nAnswer: -sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 - 40147137*q**2 + 40147128*q + 80294268 = 0 for q.\nAnswer: -1, 2, 13382378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Let t = -12 - f. Let p = t - -39. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-140)\/(-6)*((-5)\/10 - -2). Suppose 5*c - t = 2*n - 1, 0 = -2*c - 3*n + 6. Is ((-4)\/c)\/(26\/(-62283)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -16*x + 98. Calculate the least common multiple of 16 and n(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/5 + o**4\/2 + 4*o. Find the third derivative of q(d) wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 + 3?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 - 3*y**3\/2 - 15*y**2\/2 - 8*y. Let f be c(-6). Solve f*h + 6 = 5*x, h = -5*x - 0*h - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 + 179. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4.58, 0.3, 1\/4, 1\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 8 = 24. Let q(t) = t**2 + 4*t. What is the least common multiple of q(-7) and 32 - -3*c\/(-6)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/4 + 923*g**3\/4 - 919*g**2\/2 - 923*g + 1842 = 0 for g.\nAnswer: -2, 2, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -572377384*d**2*q - 17564623*d*q + 3*q wrt d.\nAnswer: -1144754768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8483, 8465, 8435, 8393, 8339, 8273, 8195?\n\"Answer: -6*b**2 + 8489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.12761 + -5738\nAnswer: -5737.87239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.11809 millilitres in litres?\nAnswer: 0.03211809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = l - 9, 0 = -4*l + 2*l. Let k = -3 + 6. Find the third derivative of -5*d**5 + d**m + 3*d**2 - d**3 + k*d**5 wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) - (-1372)\/77. What is the greatest common divisor of 27 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*n - 1 = -3, -q + 4*n - 24 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 42 (b) 4 (c) 1.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(-225)\/120?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -927*y**2. Let a(v) = 16*v - 2. Calculate a(i(c)).\nAnswer: -14832*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(68) - ((sqrt(68) - (sqrt(68) - sqrt(68)*-2 - sqrt(68))) + sqrt(68)))*-1)\/(-1*1*sqrt(4)) + 3)**2*6*2.\nAnswer: 168*sqrt(17) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - q + 2 - 65 = 0, 15 = 5*q. Suppose 0*c = -5*b + c + p, -2*c - 4 = 0. Solve -11 = -b*f - 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 41*o**3 - o**2 - 10*o + 14. What is the units digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by -227988.\nAnswer: 9\/8444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 3.073 (c) 3 (d) -5 (e) 0 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19809.\nAnswer: 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**3 - 2*b**2 - 2. Suppose 4*n = -65*j + 62*j + 10, n - j = -8. Let h(t) = 341*t**3 - 77*t**2 - 77. Give n*h(c) + 77*s(c).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 693694 + -1119054. Round t to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43aa (base 14) to base 9\nAnswer: -17055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4988656 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4*z - 2. Let k be x(6). What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9534855 and 16469295?\nAnswer: 181162245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.24489 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 10. Suppose 10 = z*k - 6. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234625793?\nAnswer: 13451, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2. Let y(j) be the second derivative of 4*j - 1\/12*j**4 + 0*j**3 + 0 + 0*j**2. What is y(d(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-388)\/(-36) + (-2)\/(-9). Let u = m + -7. Let g be u\/6*30\/4. Solve -j - g*p + 11 = -0, -6 = -4*j - p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -2\/15*i**6 - 3*i - 2 + 2\/21*i**7 - 4\/3*i**3 + 0*i**2 - 3\/5*i**5 + 5\/3*i**4. Find q such that f(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvvvzzvvvzz. Give prob of sequence zzz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**3 + 2*n**2. Let v(p) be the first derivative of 0*p - 5\/3*p**3 - 9\/4*p**4 - 3 + 0*p**2. Determine -5*u(o) - 2*v(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n + 0*n = -11*n + 9*n - 1044 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2687?\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 365\nAnswer: -46\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/2))**(31\/4)\/(((f*f**34)\/f)\/f**(6\/7)) assuming f is positive.\nAnswer: f**(97\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 8*w - 1. Let g be y(9). Calculate the remainder when 24 is divided by ((-18)\/g)\/((-3)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3, 5*k = 4*m - 3*m - 6. Let d be (-20)\/(-5) + 1 + 26. Let y(o) = -29*o**3 + 1 - d*o**3 + o**2 + 65*o**3 - o. What is y(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43119506 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 43 = -4*r - 0*r, 2*r = -4*a + 64. Solve 4*j + 3*g + a = 0, 4 - 9 = -2*j + 3*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzlllllggllllzlgglll. Give prob of sequence zlg.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2611, 2745, 2879, 3013?\nAnswer: 3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**4 - 2*d**3 - 19*d - 16352 wrt d.\nAnswer: -4*d**3 - 6*d**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -298*i**5 + 2*i**3*y - 771*i*y wrt i?\nAnswer: -5960*i**3 + 12*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 1 - (-25 - -20)) + -6 + -25.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.645516 - 0.089246. Let y = q + -0.561. What is y rounded to four decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -497*o - 13*o**2 + o**2 - 10 + 487*o. Let p(k) = -k**2 - k - 1. Let x = -4 - -3. Give x*h(l) + 10*p(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**4 + 106955*m**3 + 72541210*m**2 = 0.\nAnswer: -658, 0, 22049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0372733 millimeters to meters.\nAnswer: 0.0000372733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337644 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 918796\/7 or 131258?\nAnswer: 131258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 10*a**2 + 7*a + 12. Let x be j(9). Let u be 61780\/8 - (-9)\/x. Is 24 a factor of (-4)\/(-34) - u\/(-119)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2 + (-125)\/(-50)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*i**2 - 13*i**4 - 1 - 51*i**2 + 39*i**2 - 6*i**2 + 3*i**3 wrt i?\nAnswer: -312*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28884 and 780?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 1122221?\nAnswer: -1200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280 + -561\/2. Let p be -2 + (-2 - (-23)\/6). Which is the closest to 0? (a) p (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -611.8873 and 0.11?\nAnswer: 611.9973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 9*o**2 - o + 6. Let g be a(-9). Let y be ((-12)\/(-18))\/((-4)\/(-6)) - -1. Solve -y*s + g = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/3981944 and 31\/68.\nAnswer: 3981944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:43 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 9*u + 15. What is a(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66.989 + 67. What is a rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25662.\nAnswer: 2, 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Find the third derivative of -6*j**4 - 3*j**6 + 6*j**4 + 3*j**l wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -350 and 0.4.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = -126*n + 127*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52044 = 2185*s - 35703 + 42654 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8250 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*t - 4*v = 172*t - 8, 0 = -4*t - 4*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9945489 and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 43*r + 3*a + 75 = 0, 0 = a + 1 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/14)\/(20\/70*2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + q**2 + 4*q**3 + 0*q**3 - 5*q**4 + (-7 + 0 - 2)*(-q**4 - 2*q**4 + 2*q**4) + 3*q**4 - q**4 + 4*q**4.\nAnswer: 13*q**4 + 4*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 0.11, -280022?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(1331)*-2*2*2*-4 + 3)**2.\nAnswer: 5451776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1910 + -0.1.\nAnswer: -1910.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1. Let f(q) = -q + 2. Let u be f(z). Suppose u*o + 135 = 8*o. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = f - 12, 3*o + 3*f - 31 = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 74 - 16. Let k = 0 - x. Calculate the remainder when k is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + m**4 - 34*m**2 + 32*m**2 + 0 + 10*m + 1 + m**3 to the form q + v*m**3 + i*m**4 + z*m + f*m**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0067992 grams?\nAnswer: 6.7992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159212 and 7510.\nAnswer: 796060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 3}. What is prob of sequence fff?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -68 and -227243643.\nAnswer: -227243711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 3*c + 1. Let d be o(-2). Calculate the highest common divisor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23868 divided by -1989\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 13*u**3 - 9468*u**2 + 8 + 9463*u**2 as q*u**3 + j*u + h*u**2 + k and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 263350885 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(((x**(-2\/15)*x)\/x)\/x)*x**(-5)\/x*x*x*x**(-3)*x*x**(-1\/13))**(-16) assuming x is positive.\nAnswer: x**(9184\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 82. What is the highest common divisor of c and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 - -4.07. What is the third biggest value in x, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -154780 - -3?\nAnswer: -154779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305355 + -45323?\nAnswer: 220032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-420)\/(-110) - 4\/(-22). Suppose -u + 4 = -3*k + 13, 7 = 2*k - u. Suppose -4*f + l*z = -96, -3*f - k*z = z - 78. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(162) - (sqrt(18) + (sqrt(18) - (sqrt(54)\/sqrt(3) + 3)) + sqrt(18)))**2*3.\nAnswer: -1080*sqrt(2) + 21627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**2 - 4*l - 2*l - 6*l**2. Let f be i(4). Suppose 0 = f*p - 17 - 7. What is the highest common divisor of 33 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26174, -26153, -26096, -25985, -25802, -25529, -25148?\nAnswer: -24641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1202.3390377 + -30597.3010157. Let j = 29395 + l. Let k = 0.038 - j. What is k rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 133.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159847540 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 76*a**3 + 190*a**2 + 700*a.\nAnswer: 2*a*(a - 35)*(a - 5)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339, 330, 319, 306?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*k - 1 + 113*k + 1.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**2*p*y**3 - 52*n**2*y + n*p*y - 2*n*y + 9*p*y**3 - 1785*p*y**2 - 95*p wrt y?\nAnswer: -24*n**2*p*y + 54*p*y - 3570*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 57 + 43 + 4 + 8*u + 43 + 87*u**2. Let y(t) = -29*t**2 - 3*t - 49. Let l(c) = 3*x(c) + 8*y(c). What is the first derivative of l(o) wrt o?\nAnswer: 58*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20834 + -916595\/44. What is the common denominator of -59\/12 and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1664) - (sqrt(1664) + sqrt(1664)*1 - sqrt(1664))*4)\/(-5*sqrt(98)*-2).\nAnswer: -12*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3783248011 by -5.\nAnswer: 3783248011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -696 - 4451. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/23, 2, 1, 751, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 - 931*q**2 - 19859*q - 860. What is t(-209)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4670 - 2422. What is the remainder when c is divided by 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3365*r. Let d(u) = -101*u**2. Calculate d(z(m)).\nAnswer: -1143645725*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -35*t**2 + 46*t - 1. Give l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*k - 58772 = 0, 10*k = -3*c + 6*k + 176349. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34679481559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1404, -11465, -38772, -91947, -179612, -310389, -492900, -735767?\nAnswer: -1047612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + p**2 + p + 1. Calculate the remainder when 22 - (3 - 9)\/(-3) is divided by d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-210)\/(-20)) - (-10)\/15. Let a(j) be the second derivative of 1\/42*j**4 + 0 + 0*j**3 - 6*j - 1\/105*j**6 + 0*j**2 + g*j**5. Solve a(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y - 4*b - 12 = 0, y = -b - 2. What is the remainder when 9 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*g + 25 = 0, -m + 488*g + 20 = 483*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**3 + 66768833*y**2 + 215143930*y + 44512536 = 0. What is y?\nAnswer: -7418756, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -4.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*g + 97*g = 5*b - 157, 0 = 4*b + 10*g - 152 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 59, -30, 5, 2\/13?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*c + 15*c - 84 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 951883 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 254432 divided by 1\nAnswer: 254432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 - -20022222111020?\nAnswer: 20022222121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025538755 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) - (sqrt(7) + 2)) - (sqrt(252)*2)**2.\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times -4?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.20034 - -6.80068. Let h = o + -87. Round h to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12*6)\/((-2)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02679 take away 13638608?\nAnswer: -13638608.02679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4292266 and -17.\nAnswer: 4292249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a0 + -1a0921?\nAnswer: -19a731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*v**5 + 45*v**5 - 169*v**5 + (-v + v - 2*v**2)*(-v**3 - 5*v**3 + 2*v**3) - 4*v**5 + 4*v**5 - v**5.\nAnswer: -182*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*s - 1 - 29 = 0, -3*g + 4*s = -45. Suppose -5 = 5*q - g. Let w be ((-4)\/q)\/(-1 - 1). Is w at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197314 is divided by 575?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -16890 and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2\/2 - 40407*n + 80817\/2 = 0.\nAnswer: -26939, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 549*k**5\/20 - k**4\/12 + 3*k**3 - 33*k**2\/2 - k - 90. Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -4) + (-2 - -3). Suppose -6012 = -3*k + c*t, -4*k - 2*t + 1994 = -3*k. Suppose 22*r - 20*r = -k. What is r rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**7\/357 + c**6\/85 + 2*c**5\/255 + 34*c**2. Determine u so that t(u) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 - -1.1. Which is smaller: c or 0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-703)\/38 + -4). Let i(h) = -h**2 + h. Let j be i(0). Let o be 3 + -4 + (-1 - j). What is the closest to n in o, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -4)*18\/(-189)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/8, 3, 1\/3, 24\/133?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/3 - 3*a**2 + 7*a - 1. Let x be (-6)\/(-4)*368\/24. Suppose 5*j + 12 + x = 0. Determine d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 7*z + 7. Let c = -49 + 56. Let w(i) = 0 - 6 + c - i. Calculate 3*j(p) - 21*w(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/12 - 11*m**3\/6 + m**2\/2 - 3*m. Let q be i(-11). Let b be (6\/8)\/(q\/8). What is the greatest common divisor of 9 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + 0*o**2 - 2*o**2)*(-4 + 4 - 2*o + (-2 + 1 + 3)*(0 + 0 + 2*o)) to f*o**2 + g*o + i + b*o**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s*s**(-2\/27))*s*s*s*s*s*s*s*s**(-4)*s)\/(s*s**0*s**(1\/2))*(s\/s**(-4\/5)*s*s**1)**(8\/5) assuming s is positive.\nAnswer: s**(8983\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1175 + 1176. Let a(b) = b - 1. Let g(s) = s. Let t(x) = a(x) - 6*g(x). Give t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55295 + 36313. Suppose 38*a = 14*a + i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37138923 is divided by 128.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*d + 19 = 0, 3*d = 16*g - 14*g + 11. Solve g*a - 3 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 68*r**2 + 201*r - 5. Let q be w(-3). Solve -19*z + 2 = q*n - 20*z, 2*n + 5*z + 10 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.35 - 37.65. Let t = -38.0000046 - n. What is t rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*l + 7045 + 681 = 0, -12 = -3*l. List the prime factors of h.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b**3 + 33*b**3 + 88*b**3 - 62*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804 divided by 4?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 266*w**3 + 7*w**2 + 3*w + 3. Let s be z(6). Suppose 5*h - 42271 = s. Suppose 3*t = t - h. What is t rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -3\/9973507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -82*n**2. Let y(u) = -9*u. Determine y(h(o)).\nAnswer: 738*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/8, 1.273, -3.\nAnswer: -3, 9\/8, 1.273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/45 + -284\/315. Calculate the common denominator of s and -14\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*t = 32, 3*t = 5*p + 2*t - 43. Suppose -b + 2*k + 9 = 0, b + p = -2*b - 3*k. What is the third biggest value in -0.1, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/4)\/(9\/54). Let f = -46 - h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 5*c = -30, 0 = 5*k + 5*c - 50. Solve 0*b + k = 3*b - 2*q, -4*b + 18 = q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-204)\/(-9). Let y = u + -14. Let o = -61 - -93. What is the greatest common factor of y and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:50 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 36325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, x: 2}. Give prob of sequence xrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000263038294 rounded to 7 dps?\nAnswer: -0.0000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 88?\nAnswer: -7\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*y = 3, 5*v + 30 = -4*y + 43 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/15 + (-48)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**4 + 261*u**3 + 4*u + 2042.\nAnswer: -48*u**2 + 1566*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -371 + 1180. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97739 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 12*c**2 - 23*c - 67. Let f be x(14). Suppose f*l - 5*r = 27, 5*l + r = -r + 45. Solve l*s = 6*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 31*v**2 + 265*v - 20. Let y be k(-38). What is the highest common factor of 168 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60198012 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l + 2. Let k be f(-5). Let g = 2 + 4. What is the remainder when 39 is divided by 8\/g*k\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 159420, 637673, 1434772, 2550723, 3985532, 5739205, 7811748, 10203167?\n\"Answer: q**3 + 159417*q**2 - 5*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q**2 - 39 + 39 + 6*q**2.\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q - 49 = 20*q - 2599 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4874 + -2055. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 4*l**2 + 5*l + 5. Let f be n(-5). Let i be (-34)\/(((-30)\/9)\/(-5)). Let m = 356\/7 + i. Which is the smallest value? (a) -4 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170688993 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*y + 333*y**2 + 398*y**2 - 656*y**2 to the form w*y**2 + g + x*y and give w.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -8*g + 45. What are the prime factors of g + 0\/4 + 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3054 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c - 149 = 3*i, -49 = i + c. Suppose 1 = -b, -4*b = 19*m - 24*m + 274. Let g = m + i. Solve g = 2*w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((2465\/203)\/85).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -356, -47\/2, 5.23 in increasing order.\nAnswer: -356, -47\/2, 5.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40125.7 + 40126. Let d = -0.5 + 0.2. Which is the smallest value? (a) d (b) -4.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 12*s**2 + s + 17. What is a(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 15*i + 22 = -4*s, 21 = -3*s + 3*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -5. Suppose r*z = 4*z + 30. Suppose 0 = -d + 16 + 12. Calculate the remainder when d is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)*n**5)**(6\/17)*(n\/(n\/n**(-1\/3)))**(-42)\/(n**(3\/2)*n**0\/n) assuming n is positive.\nAnswer: n**(264\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 38824737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a factor of 18483746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.27104 millilitres in litres?\nAnswer: 0.08227104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300642 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 1, r: 3, k: 4}. Give prob of sequence lrrr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 - 16*c**4 - 8*c**3 + 16*c**2 + 12*c = 0. Calculate c.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210233 + -1?\nAnswer: -1210300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 12599?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -4\/3 (c) -6 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33003331717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -64 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24423 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.016, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 11. Let s be p(-5). Solve -r = r + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5293656*n**3 - 9274*n + 103 wrt n?\nAnswer: -31761936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 28 - 18 = 0. Let l = o - 102. What is l rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (-1 - (8 - -16))) + (-1 - -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*r - 46. What is the remainder when 81 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-300)*-90*(-75)\/(-60).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - -142. Suppose -s*z + 784 = -180*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2488 - 2489. Which is the nearest to 1? (a) o (b) -136 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1130 and 5876.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 29*f + 132. Let s be u(33). Solve -3*v + 15*v + 12 = s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 16*u**4 + 13*u**3 - 11*u**2 - 8*u + 4 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.15236923 - 413.84723277. Let t = -418 - a. Round t to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -11231452?\nAnswer: -11231444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9073836s in milliseconds?\nAnswer: 907.3836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24760, 20643, 16530, 12421, 8316, 4215?\n\"Answer: 2*k**2 - 4123*k + 28881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-6*4\/(-8)) - -5. Solve -w = -q + 6, -2*q - z = -4*q - 5*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.54 + -11.936. What is d rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x + 83*x = 10. Solve 2*j - 12 = 4*h, -h - 9 = x*h + j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*r - 3*r, -2*r + 17 = -3*u. Let b be -3 + 10\/2 + 2. Sort u, -4, b in increasing order.\nAnswer: u, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80706963 = 11*c - 95293037. What is c rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10089567 to the nearest one hundred thousand.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*n**3*z + n**3 + n**2*z - 6*n**2 - 5*n*z + 162*n + 2*z - 1 wrt n.\nAnswer: -30*n*z + 6*n + 2*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(3*r**3 + 0*r**3 - r**3) + (4*r + 0 + 0)*(1 - 1 - 2*r**2) + (-2*r**2 + r**2 - r**2)*(47 - 14*r - 47).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3 + 2 - 7*w - w + 43*w + 2. Determine r(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 30 = -5*k - 0*a, -5*a = -5*k + 25. Let n be ((-24)\/k)\/(3\/90). Let m = 125 + n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2261 * 7.\nAnswer: -15827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(sqrt(55)\/(sqrt(5) - sqrt(245)))**2 + ((-2 + sqrt(11) + 3)**2 - (5 + sqrt(275))).\nAnswer: -3*sqrt(11) + 71\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 = 5. Let a be (-5)\/3 - (12 - (-87)\/(-9)). Is a bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 2353*h**4\/6 + 6925*h**3\/6 - 20*h - 27. What is the second derivative of i(y) wrt y?\nAnswer: 9412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o - 1. What is g(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -35*s + 247. Determine b(9).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -446595*j**2. Let u(l) = 1055*l. What is u(i(k))?\nAnswer: -471157725*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2144 - -13?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 590.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 15.\nAnswer: -152\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 74 + 54 = 0. Suppose -574 = -o*p - 154. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20970298.49997486 + -20970664.5. Let z = c + 366. What is z rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5445, 5443, 5441, 5439, 5437, 5435?\n\"Answer: -2*u + 5447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 + (-27)\/21. What is the nearest to 0 in a, -2\/13, -2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660224220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(99))\/sqrt(3))\/(sqrt(6)\/sqrt(8) - sqrt(3) - sqrt(192)*1) + 2.\nAnswer: -6*sqrt(11)\/17 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l*l**6\/l*l)\/(l\/(l*l**(-2\/15)\/l*l)*l**2) assuming l is positive.\nAnswer: l**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 28. Suppose 42 = j*i + 12. Solve -5*d - i = -3*f, -2 = -2*f + 4*f + d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 681 + -678. Solve 4*l = -h*f, 0 = 3*l + 10*f - 7*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -11)*(-2)\/(-3). Solve -5*n - 28 = -4*m, -y*m - 3 + 19 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-3*(-11)\/(-66)*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vktttattttitttat. Give prob of picking 2 t and 2 a.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7628381029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -2 (c) 5\/2 (d) 0.3 (e) -473 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 2*y + 3. Is 21 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 51*l\/4 + 36.\nAnswer: (l - 48)*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x - 1. Let i(t) = -7*t - 1. Let w(r) = 3*i(r) - 4*u(r). Let v(a) = a**2 - 3*a - 2. What is -v(o) - 2*w(o)?\nAnswer: -o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*f - 21011 + 25043 = 0 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 8960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/12)\/(-3 + 13\/4). Solve -8*p = -k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514095202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/((-12)\/10 - (-15)\/75))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 15*r**2 - 5*r - 3. Let i = -17 + 24. Suppose 4*q = -v - i, 0 = v - 4*v + 5*q - 55. Does 36 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204635340 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 189194 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**2 + 29*s - 221. List the prime factors of i(-19).\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/25 - 18*12\/(-15). Let g(f) = f**3 - 3*f**2 - 3*f - 3. Let t be g(4). Is t*15*v\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 20. Suppose -x*a + 605 = 4*m, 2*a - 259 = -0*a - 5*m. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.2. Suppose -14*f + 108 = -32. Let s be (f\/120 - 1\/3)*-6. Which is the third biggest value? (a) u (b) s (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(10\/(-210)*3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.61 in 0.103, 0.2, -1\/7, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from jjpttpjjtppptj?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1765 - -1766.8. What is the second biggest value in -3, h, -2\/15, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13 and 9\/785.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.2 + -28. Let p = -3.13 - -0.33. Let u = n - p. Which is bigger: u or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625037.\nAnswer: 7, 29, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40692 or -488293\/12?\nAnswer: -488293\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u)**30\/((u\/u**(-1\/12))\/u*u**(-2)*u) assuming u is positive.\nAnswer: u**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031050414 (base 6) to base 5.\nAnswer: -10302031134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -12*h**2 - 2835*h + 2133 = 0.\nAnswer: -237, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24322.\nAnswer: 2, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*k + 128*k - 122*k + k**2 - 350*k in the form u*k**2 + h + p*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t - 455. Let o be w(50). Sort o, 118, -1, 0 in increasing order.\nAnswer: o, -1, 0, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602128?\nAnswer: 2, 37633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/8)*u**27 assuming u is positive.\nAnswer: u**(219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (825\/45)\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2 + 33*s = 0?\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8) + (-494)\/760)\/((-11)\/(-55)). What is the third smallest value in 2\/181, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42768 by 132.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**5 - 78910*t**4 - 552125*t**3 + 180*t**2 + 2839500*t = 0.\nAnswer: -15775, -6, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-8) + (-2)\/4. Let v(f) = 3*f**2 - 33*f**3 + 15*f**3 + 19*f**3 + f - 1 - 2*f. What is v(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-95)\/(-20)*2 + (-6)\/(-4). Let s(c) = -2*c + 26. Let z be s(d). Solve 2*m = m - 2*a + 11, -2*a = z*m - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/3 - 2\/3. Let m = 10 + l. Suppose m*k = -0*k + 16. Calculate the least common multiple of k and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d\/(d*d*d\/(d\/(d*d**(-1\/19)))*d))))\/(d**(-35)*d*d*d))**(-6\/5))**(-30) assuming d is positive.\nAnswer: d**(19872\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from uyyhyyhcyyyhysnu?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5830 - -5925. Let u(r) = r**3 + 9*r**2 - r - 11. Let f be u(-9). Let x be 38*(-2)\/(-4 - f). What is the highest common factor of x and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*w - 466, -4*t + 267 = 2*w - 201. Suppose 0 = 8*v - 5*v + 2*y - 333, 3*y - t = -v. Solve 99 - v = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 520*q + 43687. Give b(-84).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x\/(x\/(x*x*x**10\/x)))\/((x\/x**(-1\/3))\/(x\/(x**5*x))) assuming x is positive.\nAnswer: x**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1110130111 (base 4) to base 3\nAnswer: -122120110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - sqrt(931)*-2)**2 + (sqrt(19) + (sqrt(171)\/sqrt(3))\/sqrt(3))**2.\nAnswer: 8455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/6 - 3*y**2 - 3*y. Let m be n(-9). Solve f - 5*o + 40 = 5*f, 4*o = m*f + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*m - 5, -4*o + 5*o - 3*m = -2. Let u = 1705.4 - 1483. Let r = 223 - u. What is the nearest to -1 in 0.5, o, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/120 - d**5\/30 + d**4\/12 - d**3 - 1061*d**2. Let m(b) = 2*b**3 + 2*b**2 - 3*b + 6. Give 2*m(h) + 3*u(h).\nAnswer: h**3 - 2*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + -2)**2 + 2*sqrt(7)*-3.\nAnswer: -10*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + s + 12 = 0, 25*y + 2401 = 31*y - 143*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgdhgdhgdb. Give prob of picking 1 b, 1 h, 1 g, and 1 d.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*g**2 - 64 + g**3 + 131 - 70 as u*g + f + l*g**3 + d*g**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 2*a)*(-8 + 23*a**3 - 11*a**3 - 9*a**3).\nAnswer: -6*a**4 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*i + 165*i - 4225 - 3119 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 155, 376, 789, 1454, 2431, 3780?\nAnswer: 5561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b + 231. Determine z(-21).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42229\/3, 4\/11, 0.3, 71.\nAnswer: -42229\/3, 0.3, 4\/11, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: c29 (base 16) to base 14\nAnswer: 11c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -1\/2*p**2 - 2 + 1\/3*p**3 - 2*p. Does 14 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620 is divided by 94.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + o - 6*o + 100, -c + 35 = 4*o. Suppose -78 = -5*g + 47. Let l = g - c. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 11:23 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (2 - 6) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75)\/10*(-4)\/(-5). Let t = 9 + c. Suppose -2*h = -y - 61, -5*y - 84 = -t*h - y. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1128, -270 in increasing order.\nAnswer: -1128, -270, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*j - 5*a, -j + 11*a + 12 = 6*a. Let l be (1000*j*-4)\/((-3)\/2055). What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, o: 9}. Give prob of sequence oo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2304 (base 9) to base 11.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/18)\/(-1*(-3)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -4*p - 6*n + 2*n, p - n - 30 = 0. Let s(h) = 7*h - 3. Let t be s(-10). Let j = p - t. Calculate the greatest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-3 - (0 - (37 + -1)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5025030 to the nearest integer?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x + 4. Let s(f) = f**2 + 7*f - 4. Let w(z) = 3*d(z) + 2*s(z). Give w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 3*u + 11. Let v be s(-4). Suppose 0 = -3*r - v, 0 = -q - 3*q + r + 13. List the prime factors of -1 - (q + -22 + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -276?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 106*j**2 - 3*j - 2. Let g(p) = -211*p**2 + 7*p + 5. Let n(z) = 2*g(z) + 5*t(z). Let s be n(2). Is s\/14 - 8\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0627 in 436, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*l**3*s**2 + l**3*s + 13*l**2*s - 11*l*s**2 wrt l.\nAnswer: -516*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 6, 206 in decreasing order.\nAnswer: 206, 6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 3999\nAnswer: -8\/3999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.8 + -29. Let x = -43\/2 + 21. Let z = 8 + -8. What is the closest to p in x, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 6*t + 3. Suppose 0 = 3*o + 3*x - 6, -20 = -x + 6*x. Let c be w(o). What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 209940, 839764, 1889470, 3359058, 5248528, 7557880, 10287114?\n\"Answer: 209941*q**2 + q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7.099 (b) 0.1 (c) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 3*x - 3. Let d(k) = 0*k**2 + 2*k + 2 - 2*k**2 + 0. Suppose -20 = -5*q, 4*t + q + 35 = 27. Determine t*d(w) - 2*j(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 10010?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -32. Let o(k) = k**3 - 3*k**2 - 2*k. Let f = -14 - -13. Let w be o(f). Put w, z, 4, -9 in descending order.\nAnswer: 4, z, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/5 - 239*j**2\/5 - 3599*j - 435357\/5 = 0.\nAnswer: -117, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(-2242*w + 4111*w - 2113*w) + w - 5*w + 2*w to the form v*w + k and give v.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + y**3 - y**3)*(3*y**2 + 9*y**2 - 4*y**2) - y**5 - 3*y**5 - y**5.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5\/3)*(k**(9\/4)\/k)\/k)**(-10) assuming k is positive.\nAnswer: k**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2. Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*l + 408*l = -37044 + 4032 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -11. Suppose -3*f + 5*u + 10 = 0, 2*f + o*u = -2*u + 12. Let j = f - -2. Calculate the smallest common multiple of 6 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*j = z + 52, 4*z - 4*j = 16. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/9 - 11921*j\/9 - 23878 = 0.\nAnswer: -18, 11939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 1 - 13. Let p be 3\/t*2126*-2. Let y = 2063\/2 - p. Calculate the common denominator of y and -11\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.097316+3\nAnswer: 2.902684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - ((-10 - -3) + 4)) - -17.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/24)\/(39\/52)*100\/10\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11933526 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271 less than or equal to 7299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyahaiyqhhyymyy. Give prob of sequence qmhi.\nAnswer: 1\/8736","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (-16 - -73) + 27\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -348.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -0.249 in decreasing order.\nAnswer: 1, -0.249, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15170963*r**3 - 13700563*r wrt r?\nAnswer: -91025778*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -0.22341\nAnswer: 0.52341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 3*m + 3. Let a(j) be the first derivative of 2*j**3\/3 + 2*j**2 - 3*j - 877. What is -6*a(b) - 7*u(b)?\nAnswer: 2*b**2 - 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**3 + 558*f**2 + 17. Determine y(-93).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**3\/3 + 2*m**2 + 3*m + 453. What is i(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1975658 is divided by 89746?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376 and 38708?\nAnswer: 3638552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 105604573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 695*g**2 + 79530*g - 502200 = 0.\nAnswer: -16740\/139, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39411470 by -3941147.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 4*b**2 - 5. Let i = -6 - -9. Let j be (7\/(-4))\/((-6)\/24). Let t be (i - j)\/(-12)*-3. Let d(k) = -k**3 - k**2 - 1. What is t*r(o) + 4*d(o)?\nAnswer: -2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from eezze.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + -10 + 10 + -1 + -7 - -157?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075 a factor of 287334974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/3 - 238928*m**2\/3 - 1194602*m\/3 - 477836 = 0. Calculate m.\nAnswer: -119459, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3*h - 2*h)*(35 + 51 - 29) to r + z*h and give z.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 0*m - 3*m)*(-8 - 9*m**2 + 8) + (3*m**2 - 5*m**2 + m**2)*(-2*m + 2 + 0 + 0*m).\nAnswer: -7*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = b. Let u = -6 + 3. Let v be 5*b\/(3\/u). Let p(t) = t - 1. What is p(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 403392 and 544?\nAnswer: 6857664","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50839387, 203357555, 457554507, 813430243, 1270984763?\n\"Answer: 50839392*d**2 - 8*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1815*k**2 + 86968*k + 1 - 43467*k - 1 - 43501*k.\nAnswer: 1815*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-18) + (-1448)\/(-240) + -4\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 15. Suppose 2*g = -f*y - 8, -g + 2*y + 2 = -3. Let b(m) = 9*m**3 - m + 1. What is the units digit of b(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2284213 - 1.2.\nAnswer: -2284214.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33184581.\nAnswer: 3, 11061527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-9) - (10 + 6 + 730\/(-45)). Determine k so that -20*k + 0 + 90*k**i - 75*k**3 - 125\/2*k**4 = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 19 = -10. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 74, 78, 84, 92?\n\"Answer: t**2 - t + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b + 100*b**5 - 90*b**5 + 0*b + (0*b**3 - 5*b**3 + b**3)*(2*b**2 + 0 + 0) + 3*b**5 + 3*b - 3*b.\nAnswer: 5*b**5 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -7\/20*j**5 - 20*j**2 + 0 + 0*j**3 + 0*j - 17\/24*j**4. What is the second derivative of a(d) wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:59 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/9)*n)\/((n\/(n**(-27)*n))\/n)*n**(-4\/17)*n*n\/(n**(-7)*n) assuming n is positive.\nAnswer: n**(-2620\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 4, w: 4}. Give prob of picking 2 q and 2 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 16*u - 18. Let g(m) = -m**2 + 1. Let k(n) = -2*g(n) - v(n). Factor k(y).\nAnswer: 4*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -199*v**2 + 676\/3*v**3 - 143\/3*v**4 + 121\/30*v**5 + 0 + 0*v. Factor z(u).\nAnswer: 2*(11*u - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.055*147699.\nAnswer: -8123.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 2*n - 2 - 16*n**3 - 2*n + 8.\nAnswer: -16*n**3 - 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 12*y**2 + 26*y - 82. Give d(14).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.003? (a) 1\/5 (b) -0.3 (c) -270 (d) -1\/4 (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*i**4 + (-i**3 + 6 - 6)*(0*i - 3*i + 10*i) + 3*i**4 - i**4 - i**4 as x*i**4 + o*i + z*i**3 + b + f*i**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -453.\nAnswer: -453, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.349867ng to micrograms.\nAnswer: 0.001349867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5 = 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.78 - -0.22. Which is the third smallest value? (a) w (b) 2\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150971719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014?\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - -1. Suppose -2*f = 5*h + y - 3, f + 23 = -5*h. Suppose -4*m + 3*i + 105 = 0, f*m - 60 = -0*m + 4*i. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 4914.204?\nAnswer: 4914.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*i - 8, -7*i + 2*i = -o - 10. What is the second derivative of -27*s**2 + 14*s - 10*s + o*s**2 + 12*s wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x + 4 = 0. Let s be (-7 - 0) + 8\/((-8)\/3). Let v = x - s. Solve -2*b - b = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -81. Let b be (10 + 2500\/h)\/(1\/(-6)). Calculate the highest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.04, 39, -5, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w + 49. Let k be z(9). Let y = -35 + 35. Sort -1, y, -5, k in decreasing order.\nAnswer: k, y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 4*s - 32, -4*x - 3*s - 2 - 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 694 - 461. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*3\/(-6)*-4. Suppose 0 = 1325*z - 1240*z. Which is the nearest to -1? (a) y (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41256981894.00000326 - -41256982265. Let b = x + -371. Round b to 7 dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08439 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 12:01 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4514757, 9029512, 13544267?\nAnswer: 18059022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 2*f**3 + 21*f**3 + (-2*f**2 + f**2 + 2*f**2)*(-88 - 29*f + 88).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/(w*w*w*(w*(w\/w**(-7))\/w)\/w*w)*w)*(w*w**17*w)\/w*(((w\/(((w*w*w*w**(-10)*w*w)\/w)\/w))\/w*w)\/w)**31 assuming w is positive.\nAnswer: w**244","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8657 + 0.901. Let u = z - -1.9647. Suppose -42 = -5*b + k, 3*b - 2*k - 10 = 18. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1911 + -1846. Calculate the least common multiple of a and 182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0 - 2 + 1 + 2 + o**2 + 2*o. Determine a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118407?\nAnswer: 3, 29, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1889 - 3?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**5\/20 + q**4\/12 - 4*q. Let a be h(1). Suppose 6*o - 4*o - 78 = -4*x, a*o + 2*x - 78 = 0. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -371, -1226, -2901, -5672?\nAnswer: -9815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 141*r - 140*r - 348, 0 = 4*r + 5*g - 1448. What is the greatest common factor of r and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4566*o - 250500 = 7438*o - 5377*o for o.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 22110?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*(-26)\/(-39). Suppose 6*c - 3 + 9 = 0. What is the second smallest value in c, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2)*(-110)\/440.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 7 = -29. Let w(t) = -t**3 + 6*t**2 + 8. Let n be w(y). Suppose j + 28 = n*j. Calculate the remainder when j is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o = 34*o + 6775. What is the remainder when 1889 is divided by o?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 54. Let z be p(-6). Suppose -14*s + z = -12*s. Which is greater: 19 or s?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21063 - -20976. Sort -0.4, s, -1\/39 in descending order.\nAnswer: -1\/39, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16660988?\nAnswer: 2, 1171, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 77*b + 66. What is d(73)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1420 is divided by 165?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1030\/101 - 302294\/505. Let f = i - -614. What is the common denominator of 37\/6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1047038 + -5?\nAnswer: 1047033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 117 - (-1727104)\/(-14672)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**4\/b)**(-36)*(b*(b*b**(-2)*b*b)\/b*b)**(1\/7))**(-37))**(-3\/26) assuming b is positive.\nAnswer: b**(-69819\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/27 (b) -0.1 (c) -5 (d) -57 (e) -4 (f) -0.4 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**3*y + 104*n**2*y**2 + 3*n*y - 122*y**2 + 2*y wrt n?\nAnswer: -24*n*y + 208*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829b75 (base 14) to base 8.\nAnswer: 20636153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (405\/450)\/((-6)\/5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e33ac (base 15) in base 16?\nAnswer: -1691af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. What is the units digit of (-2 + 8)\/(k\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 - 2 = -n, l + 5*n = -1. Let g be l\/(21 + -5)*(9 - 1). Solve -5*r = -i - g*i + 5, -4*i + r + 18 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 + 2*t - 6. What is u(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1554 * 45.\nAnswer: 69930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 11*y**2 + 11*y - 12. Let q be h(10). Put -3, -1, q in ascending order.\nAnswer: -3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6)*2*6).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/3 + 4*x\/3.\nAnswer: -4*x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 5\/48*t**8 + 3*t**2 + 0*t - 3\/4*t**5 - 5\/24*t**6 - 5\/12*t**4 + 0*t**3 + 3\/14*t**7 + 0. Solve l(p) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -6. Suppose u*d = -5*t + 11, 2*d = 5*d + 2*t. Let s(x) = 2*x**2 + 2*x - 1. What is s(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18872 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 4. Let x be r(-3). Let m = x - 8. Which is greater: -2\/27 or m?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021*o + 495 + 3937*o - 495.\nAnswer: 4958*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 5, s: 3, m: 6}. What is prob of sequence eddd?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -158105463?\nAnswer: 158105461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -3\/35, -1\/5, 11\/13?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/61950 and 46\/629825?\nAnswer: 3778950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 5. Let s be i(-4). Solve 4*r = 2*z + 3*z + s, -3*r = -4*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201616150 divided by 8064646.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*u + 11 = 0, -d - 2 + 0 = -2*u. Let y be -3 + (1 - (-2 - 2)). Let r = y - -4. Calculate the remainder when r is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -2133?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1164 and 1424445.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 7. Let g(c) = 1 + c - 18*c - 2. List the prime factors of g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*z - 23, 3*z = -0*f - 4*f + 31. Let p be 15\/6 - 1\/(-2). Suppose -l - 4*l = p*h - 83, -l - 80 = -f*h. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21980.7 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4221.83 - -4189. What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-408)\/(-884)*(-64)\/(-6) - (-2)\/26. Solve 3*c = 5*a - 16, i*c + 2 + 6 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -391, -966, -1885, -3214, -5019, -7366?\nAnswer: -10321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-14) + (0 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -194 (c) 5 (d) -1\/4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140876 is divided by 19985?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14516141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r**(-1\/20)))\/r*r*r)*r)\/(r**12*r)*r**(-12\/13)*r*r**(-8) assuming r is positive.\nAnswer: r**(-5193\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913121 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.154367312 to four dps.\nAnswer: -0.1544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2520 and 1008.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2*2*(71 - -7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 10:56 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30790302 divided by 10263434?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(272))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988110 (base 11) to base 9.\nAnswer: 2863660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2, -3*t = 5*w + 9 - 165. Solve -26*z = -w*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/62 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.1 - -9.26. Let i = -0.06 + t. Let u = -3.82 + i. What is u rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1417322 * 1.8.\nAnswer: 7.45511796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-30) + (-4)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 80.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 3\/4)*-112. Let d = -146 + m. Calculate the remainder when d is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1084*t - 52 = 1081*t, 4*y - 2*t = -40. Let a be (-68)\/(-12) - (-1)\/3. Let z(r) = -r + r + a*r. Calculate z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 65*t**2 - 50*t + 120.\nAnswer: -5*(t - 1)*(t + 2)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/26, -3, 0.4, 116?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22090*u**5 - 470672*u?\nAnswer: 441800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19247690 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 1777*y**2 + 61*y + 1783*y**2 - 15 in the form z + v*y + c*y**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74213 + -642. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*j - 3. Put j, 5, -3, -1 in decreasing order.\nAnswer: 5, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.25 and 1203.\nAnswer: 1215.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256 - -248.8. Let m = -76456980.8000057 + 76456988. Let y = w + m. Round y to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n - 4*n)*(-4*n**3 + 223*n**3 + 67*n**3).\nAnswer: 286*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12*y + 652. Let u(l) = -7*l - 325. What is 3*r(m) + 5*u(m)?\nAnswer: m + 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -0.06. Suppose -43 = -339*k + 382*k. What is the third smallest value in x, -2\/9, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.9135 - 4.9339. Let j = -0.0204 - o. Which is smaller: j or -0.11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 2. Suppose -z + 3*a = 13, 0 = -5*a + 5 + 10. Determine f(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2*1)*(23 - 110448\/4797)\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60901.08325 - 25266.\nAnswer: -86167.08325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 85518 (base 15) to base 8\nAnswer: 1472157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.05 - 0.05. Let u = 7 + -7.1. Let d be (-11)\/105 - (-586)\/(-6153). What is the nearest to u in d, -4, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1065700 and 4.\nAnswer: 1065700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 12 + 2 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 87.71717 weeks?\nAnswer: 53051344416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9*q - 5 - 2*q)*((-2 + 0 + 5)*(5 + 4 - 8) - 4 + 1 - 4).\nAnswer: -28*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1004.5 - 1004. Sort -0.3, 5, 0.4, c in descending order.\nAnswer: 5, c, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -4002110?\nAnswer: -4002115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 41, 58, 73?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + p = 4*n - 13, 17 = -5*n + p. Let f be 0\/(-3 + 13) - 5. Suppose 3*h - 2 + 5 = 0. Sort n, f, 0, h in descending order.\nAnswer: 0, h, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f - 30. Calculate the smallest common multiple of r(-3) and 212.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108931 - 69989. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 + 0 = 0. Suppose -4*x + b*x = 5. Solve -x*s + 4*i - 3 = 37, 25 = 5*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29884 is divided by 247.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 0.12118974.\nAnswer: 0.0096951792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*p - 5. Let v(m) be the first derivative of 0*m**3 - 1\/5*m**5 - 1 - 2*m + 0*m**4 + p*m**2. What is the first derivative of v(l) wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, 23, 193, 509, 1019, 1771?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5429 divided by -32.\nAnswer: 5429\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22944 by 8.\nAnswer: -2868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*g + 11, 0 = 4*g + 3*d - 3 + 19. Let x = g - -4. Let u(h) = -4*h - 7. Let w(c) = -3*c - 7. Let o(t) = -4*u(t) + 5*w(t). Calculate o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 4*b**3 - 14425*b + 14418*b + 3*b**3. Let s(v) = 2*v**3 - 6*v**2 + 8*v. Calculate 6*k(g) + 5*s(g).\nAnswer: 4*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80.9798 - -81. Which is bigger: b or -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -24. Let c(n) = -6*n**3 + 6*n. Let z(i) = -i**4 - 6*i**3 + i**2 + 6*i. Let h(k) = u*z(k) + 4*c(k). Factor h(j).\nAnswer: 3*j*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {g: 4, v: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -2. Let i = -5 + q. Solve 4*z - 3 = i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 265*n**2 + 2354*n - 1004. Give i(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 7, g: 1, a: 2, j: 1, d: 2}. What is prob of sequence ag?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1398755 to three dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28738 + -28673. What is the smallest value in -19, -1\/4, d?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/128*0*(-1)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37792620 - 0.78.\nAnswer: 37792619.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1642455187 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Let x be (22\/(-8))\/(4\/(-16)). Suppose 2*g + 5 - x = n. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -64. Let p(f) be the second derivative of 5*f**4\/6 - 5*f**2\/2 + 10*f. What is the tens digit of p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 22*o**2 - 6. Let q(h) = 158*h**2 - 4*h + 5. Let g(m) = 45*m**2 - m. Let p(l) = -4*g(l) + q(l). Determine 5*k(w) + 6*p(w).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13156 smaller than -9056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76984 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/3*y**3 + 103\/3*y**2 - 1\/3*y**4 + 18 + 133\/3*y.\nAnswer: -(y - 27)*(y + 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w**2. Let v(l) = 2*l + 6. Let f(k) = -k + 1. Let h(z) = -12*f(z) + 2*v(z). Give r(h(m)).\nAnswer: 2560*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18559 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/5, 1\/59, 3, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -99403640 and -99403640 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2017, 4039, 6061, 8083, 10105?\nAnswer: 12127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1908 by 11.\nAnswer: 1908\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - 8\/(-6). Let o(b) = b**2 + 5*b - 4. Let f(i) = -6*i**3 - i + 1. Let u be f(1). Let q be o(u). Which is bigger: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4948 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 15. Let k = v - -11. Let n = 0.05 - -0.15. What is the nearest to k in 0.5, n, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103198 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: Find the common denominator of 63\/10 and -169\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b + 6*b + 5*b)*(0*b**2 + 4*b**2 - 3*b**2 - 3*b**2 - b + b + (0*b - 4*b + 2*b)*(-b + b + b)).\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14*a + 639 = 0. Calculate the remainder when a is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t)**(6\/25)\/(t**(-6\/5)\/((((t**5\/t*t)\/t)\/t)\/t))*((t**(-2))**45)**45 assuming t is positive.\nAnswer: t**(-101176\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -753, -853, -1017, -1245, -1537, -1893?\n\"Answer: -32*g**2 - 4*g - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18575, 18855, 19135, 19415, 19695?\n\"Answer: 280*b + 18295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmmvvvmmmmvmmm. Give prob of sequence vmvm.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5205785 and 2795.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9508*g + 15 = 9511*g, -x + 2*g = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2068829965 to the nearest integer?\nAnswer: 45484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16321 + 26221. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 - 2*a**3\/3 - a**2 - 3*a - 1. Let g be c(3). Suppose 2*l - l - 6 = g. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -2*i + 6*i, -2*g + 2 = -2*i. Let a(t) = 10 - 2 + i + 5*t + t. Is a(6) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 215 (b) 5 (c) 2 (d) -3\/4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1826 divided by 22.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 6*f + 1. Suppose 25 = 5*t - 5*a, -t = -5*a + 1 - 10. Suppose -3*j - t = 14. Determine b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/((d\/(d**(-6)\/d))\/d))*d**(-6)\/d)**5 assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -31 + 21. Suppose 4 = -5*v + 2*u - 3, 4*v - 4*u - 4 = 0. Let x be (-2 - v)*-5*a\/5. Solve x*r + 8 = -r - g, 3*r + 5*g + 16 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281567463.\nAnswer: 3, 6781, 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 6 = 46*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2983 - 2983. Solve -2*x + 2 = -6*m + 2*m, y = -m - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2. Let o(j) be the second derivative of -535*j**4\/12 - 5159*j. Determine o(t(y)).\nAnswer: -43335*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 111 = 2*k, i - 31 = k - 88. What is the highest common divisor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*m**3 + 12 - 12\/5*m**2 - 2\/5*m.\nAnswer: 2*(m - 5)*(m - 3)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 11) in base 16?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:11 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.2. Let d be (-144)\/(-27) + (-4 - 0). Which is the third smallest value? (a) q (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 105, 590, -3 in ascending order.\nAnswer: -61, -3, 105, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 + 7*p**2 + 3. Let k(r) be the first derivative of -4*r**4 - 12*r**3 + r**2\/2 - 15*r - 4. Let o(x) = -11*d(x) - 2*k(x). Does 4 divide o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -525, -557, -555, -489, -329, -45, 393?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - (-6)\/(-21). Solve -g - 1 = -k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 3*v - 2. Let n be a(-4). Suppose -4*j = -5*y + 5, 0*y - 2 = 4*y - n*j. Let b(h) = h**3 + 2*h**2 + h + 4. Determine b(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766333 (base 10) in base 2?\nAnswer: 10111011000101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 3.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/5)\/((-223)\/(-2)). Let h = n - -428\/2007. Solve 0 + 2\/9*j**2 + h*j = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1880*u + 83 = 1876*u + 7 - 8 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 2*u**2 + 0*u)*(-u + 4*u - 2*u)*(3 - 1 - 8)*(164*u + 168*u - 356*u) - 5*u**4 + 2*u**4 + 5*u**4 to k*u**4 + i*u + q*u**3 + z + j*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 1\/60*p**5 - p + 2*p**2 + 0*p**4 + 0*p**3 + 0. Let u(v) be the first derivative of j(v). Let o(s) = s. What is u(o(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*4)\/sqrt(11).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59012599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1001100010100 (base 2) to base 6\nAnswer: -34340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-48)\/(-36) - (-26348)\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357258762 and 20260?\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14009, 14008, 14007, 14006, 14005?\nAnswer: 14004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-429)\/(-715)*5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -24*w**3 - 3*w - 2. Let f be m(-1). Suppose -8*l + f = -3*l. Suppose -l*d = -3*d - 16. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292348606 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -56693 + 224993. Is q a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287097 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.7 and 275335697.\nAnswer: 275335709.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -1. Suppose 0 = -3*i - 21 - 183. Let o = i - -116. What is the greatest common divisor of a and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**3 + c**2 - 2*c + 1. Let h be k(1). Solve 4*b - 10 - h = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/32 and ((-291)\/(-60))\/((-4)\/(-10)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m**3 + 2*m**2 + m - 3. Is 2 a factor of z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, 1 d, and 1 x when four letters picked without replacement from {s: 8, c: 1, k: 4, x: 2, d: 1, h: 4}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from vxjoxomvnvnmxm?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g - 1 + 0*g)*(g**4 + 0*g**4 - 2*g**4 - 3*g**4 + g**4 + 3*g**4 + (0 - 1 + 3)*(2*g**4 + 0*g**3 + 0*g**3)).\nAnswer: -8*g**5 - 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*m + 16*m**3 - 2 + 196*m - 107*m + 3*m**2 in the form x*m**3 + j + b*m + p*m**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 636\/7 + -2285\/28. Which is smaller: 9 or g?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 0*f - 360 + 5*f + 3*f**3 + 360 - f**3 to the form v*f**2 + a*f**3 + l*f + g and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 5*a, 2*s + 56*a - 57*a = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7.5. Let m be (-6)\/(-8) + (-1)\/1. Sort m, t, -1\/2 in ascending order.\nAnswer: -1\/2, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*n + 4140000, h - 10*n = -7*n + 1035000. Suppose -h = 72*u - 77*u. Round u to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-3)*63\/(-336)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.86, 3, 5, -2226\/23, -1.\nAnswer: -2226\/23, -1, -0.86, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 407\/77 - (-6)\/(-21). Let k(t) = -t**2 + 5*t. Give k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttvtzvvtvtvttvttz. What is prob of picking 3 v?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (3 + 12 + 17)) + 16 + (-6 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*w**3 + 85*w**2 + 105*w**3 + 98*w**3.\nAnswer: -25*w**3 + 85*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 2:29 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-487 - -494) + (1 + 0 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 10*a**6\/3 - 40*a**5 + 585*a**4\/4 - 135*a**3 - 1188. Factor h(w).\nAnswer: 5*w**2*(w - 1)*(2*w - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 + 23586472*h - 23586476 = 0. What is h?\nAnswer: -5896619, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(2\/5). Suppose 729 = -13*i + 781. Find the second derivative of i*j**u - 4*j + 11*j - 20*j**3 + j wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1920*p**3 - 1325*p**2 - 6*p - 3. Let g(o) = 5*o**3 + 2*o + 1. Let l(y) = -3*g(y) - n(y). Find the third derivative of l(a) wrt a.\nAnswer: 11430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4, -p = -2*p + 4*c + 8. Suppose 5*y - 32 + p = 0. Let t(n) = 2*n**2 + n - 2. Let b be t(-2). Is y smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259 - -455. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f**2 - 13*f + 21. Let r(x) = 14*x + 2. Calculate the remainder when r(15) is divided by g(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from hnhhnhhhhnnnnn.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z**6 + 0*z**5 + 0*z + 0*z**7 - 1\/336*z**8 + 2*z**2 + 0 + 0*z**3 + 1\/6*z**4. What is the second derivative of f(w) wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 12:44 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 214 = -10*f, 81 = 233*f - 230*f - 5*n for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*p + 3*p = -2538102. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/427 - (-1 + (-14558)\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1151 = 3*t - q, t + q + 114 = -271. Let h(d) = d**3 + 5*d**2 + d - 2. Let g be h(-5). Let j be t\/(-84) - (-4)\/g. Solve -j*u = -5*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-8\/3))\/(x**10\/x))**(-41) assuming x is positive.\nAnswer: x**(533\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(sqrt(133)\/(-1*sqrt(847)) - (sqrt(304) + (sqrt(304) - (sqrt(304) - sqrt(304)*-1)) + 0))*-4.\nAnswer: -4 + 8*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -10, 2 in increasing order.\nAnswer: -10, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25539*p*v**2 + 34*v**2 - 440*v wrt p?\nAnswer: 25539*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zava when four letters picked without replacement from vzgagtgtaarr.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311360 is divided by 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, t: 3}. Give prob of picking 2 m and 2 t.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797858\/1468*(1 - -43).\nAnswer: 2, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -6. Let n = 384 - m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2*x**3\/45 - 2956*x**2\/15 + 4368968*x\/15 - 899. Factor w(j).\nAnswer: 2*(j - 1478)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 23*s**2 - 6*s**2 - 2 - 34*s**2 as p*s**2 + i + y*s and give p.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - -3) + -109 + -4.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.28, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = -3*a - 4*x, 4*a = 2*x. Suppose 0 = -2*w - a*w. Suppose -o + 4*o - 45 = w. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 4593 = 49845. Is 105 a factor of (3 - p) + 1*(2 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/15660239 and 15\/17897416.\nAnswer: 125281912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvvl when four letters picked without replacement from lllllllvlvlllv.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 5*h + 15. Suppose 2*u = j - 1, -4*j = 2*u + 30 + 6. What is i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 5*p**2 + 0*p**2)*(-28 + 28 + 15*p) + (p + 0 + 0)*(3*p - 3*p - 2*p**2).\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s + 344 = 117*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 + 12*d + 20*d**2 + 16*d**3 - 18*d**2 - 18*d**3 in the form x*d**2 + h*d + t + y*d**3 + l*d**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5413.98 rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, 5 in increasing order.\nAnswer: -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2. Let p(b) be the second derivative of 8*b + 1\/12*b**4 + 0*b**3 + 0*b**2 + 0. Give p(w(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) - -6 - 0. Suppose 4 = -c + 4*i, -4*c = -o*i + 2*i + 3. Suppose -2*z + c*z = -26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 219582762?\nAnswer: 2415410382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32924438707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42292.\nAnswer: 2, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5558634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 2, r: 2}. What is prob of sequence iri?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/19)\/w*w)\/(w*w**(-5)) assuming w is positive.\nAnswer: w**(96\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77209.0290078 - 77209. Let l = -67 + 66.971. Let z = l + v. Round z to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/11 - 62*m**3 + 6964*m**2\/11 - 19608*m\/11 + 16848\/11 = 0?\nAnswer: -351, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 20*j - 42. Let a = 7 + -5. Let q be (17\/a)\/(1\/2). Let x be z(q). What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76582\/(-24367))\/((24\/21)\/(-2))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 783 and 17487.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 8*a - 1274 = 0. Calculate the remainder when 340 is divided by a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.354 - 197.074. Let f = 190 + i. Which is bigger: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3443 is divided by 1135.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.14082?\nAnswer: -0.05918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12874, 25748, 38622, 51496, 64370, 77244?\nAnswer: 90118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 772277766?\nAnswer: 772277770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54377665951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489241247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v + 1. Let p(x) = 16*x**2 + 123*x + 50. Let r(u) = 6*u**2 + 43*u + 17. Let n(a) = -6*p(a) + 17*r(a). What is n(o) + 5*w(o)?\nAnswer: o**2 - 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/((-6)\/(-9))*393\/(-131).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 321415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r + 81 - 138 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000565 rounded to five dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 501, 1393, 2881, 4965, 7645?\n\"Answer: 298*b**2 - 2*b + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + h - 2*h**2 + 4*h**4 + 5*h**2 + 2 - 7*h**2 to l*h**3 + p*h**4 + u*h + y + a*h**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 11 - 2 + 4*z to the form u + y*z and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a**5 + 3*a**4 - 108*a**3 + 126*a**2 - 30*a - 9 = 0. What is a?\nAnswer: -3, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*c - 407*c + 214*c + 170 - 1166 for c.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 4*o - 2. Let y(n) = n**2 + 424 - 5*n - 200 - 4*n - 229. Give 5*h(m) - 2*y(m).\nAnswer: 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 18 = 4*i + 7, 3*i - 4 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 3*j - 15*j + 2*j**2 - 6 + 6*j. Suppose -3*u + 3*y = 33, 5*u + 35 = 3*y - 2*y. Determine m(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507748717.\nAnswer: 17, 53, 59, 113, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*c - 0 - 15. Put 0, -1, -4, c, -5 in decreasing order.\nAnswer: c, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b - 64. Let q be n(6). Let x(y) = -2*y - 3. Let m(l) = -3*l - 2. Determine q*x(f) + 5*m(f).\nAnswer: -7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -3\/7, 0.02, -12, -1\/6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + 280?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 5*x - 2. Let b be y(6). Let z = 2172 + -2166. Is z at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12157 divide 752709255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 12*m**3 + 1 - 31*m + 20*m wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52438741 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1, 43017879 in increasing order.\nAnswer: 1\/4, 1, 43017879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/19, 0.6, 0.2, -33?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*t + 1259*t + 84300 = 0 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2057328 divided by 112\nAnswer: -18369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*z = 33, 357*u + 3*z + 28 = 349*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -3 - (-1 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*81\/(5670\/112)*22\/1\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 23 = -5*i - 4*j, 2*j + 4 = 4*i. Suppose -a = -5*a, i*t = 2*a + 12. Suppose 2*z = -t*q + 155 - 23, -3*q + z + 109 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.1 - -8. Which is the nearest to v? (a) -1 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 62 - 182 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 47*b + 280.\nAnswer: (b - 40)*(b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 3*d - 3*d)*(-2*d - 3*d - d)*(-3*d + 0*d + 4*d) in the form s*d**2 + t*d + p*d**3 + u and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32304 + -32308. Let d(j) = -1 - 5 + 3*j + 2. Give d(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.1484038 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 7, y: 7, e: 1, d: 2}. Give prob of sequence jl.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 10*b - b)*(0*b**2 + b**2 + 0*b**2) + 2 - 2 + 3*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*c**2*x**2 + 20*c**2*z - 5*c*x**3*z - 20*x**3*z - 21*x*z - x + 2*z wrt c.\nAnswer: -10*c*x**2 + 40*c*z - 5*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/39 + 2 + (-526)\/208.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 26 - 29 = 0, 5*t + b - 26 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/(q*q**4))\/q)*q*q*q**(-6\/7))**(5\/2) assuming q is positive.\nAnswer: q**(285\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -84308, -84402, -84542, -84734, -84984, -85298?\n\"Answer: -o**3 - 17*o**2 - 36*o - 84254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/12 + 3 + -7. Let f = -0.22 - 0.08. What is the smallest value in i, 5, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3 + 2193875*z**2 + 6581634*z = 0.\nAnswer: -3, 0, 2193878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5 = 3*g - y, -4*g - 4*y = -20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**5 - 906237*j**4 + 151503106*j.\nAnswer: 60*j**3 - 10874844*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -631, -9, -11 in decreasing order.\nAnswer: 7, 3, -9, -11, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-105)*(-21)\/(-12). What is the biggest value in x, 1\/4, 1.55?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 1, e: 2, w: 1, n: 1, f: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46032 is divided by 506.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*v - 18*v = 1710. Solve v = 3*k + 3*f, -f = 24*k - 20*k - 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. What is the derivative of 0 + x*m**3 + 2 + 0 wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 866 + -210. Let f be (315\/135)\/((-7)\/(-123)). What is the greatest common factor of f and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uppufpffpkkpfukpf. Give prob of picking 3 u.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*a + 9*a - 3*a - 354*a**2 + 352*a**2 - 14*a in the form c*a**2 + i + f*a and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xdxxpvvx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkb when three letters picked without replacement from ayeaeaakbbaaabbk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -23. What are the prime factors of b*(-1)\/8*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q. Let z(h) be the second derivative of -h**6\/15 - h**3\/3 - 17*h**2\/2 + 155*h. Let g(k) be the second derivative of z(k). Give j(g(c)).\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 75 = 9*v. Suppose 3*c + 127 = l + 983, -5*l = -v. Suppose -2*x + c = -3*t, 2*x - 292 + 11 = 5*t. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 11*z**2 - 13*z + 11. Calculate the remainder when 53 is divided by p(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 119358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {l: 1, y: 9, o: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115362 + 2?\nAnswer: 115364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-1 + (-1)\/3). Suppose -65*q + 150 - 20 = 0. Solve 4\/7*n - 2\/7 + 2\/7*n**w + 0*n**q - 4\/7*n**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/11, -1, -5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3087))\/(sqrt(18)\/sqrt(2)*4 + sqrt(9)) - (sqrt(105)\/sqrt(3)*-2)\/(sqrt(5) - (-2*sqrt(15)\/sqrt(3) - sqrt(5))).\nAnswer: -9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**2 + 5 + 0 - 15*b - 18 - b**3. Let d = 835 + -845. Is h(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**5\/20 - 7*x**4\/12 + 3*x**2\/2 + 3*x + 19. Let z(u) be the first derivative of k(u). Calculate z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49040 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40421 is divided by 623.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 2*o**2 + 2*o**4 - o + o - 3*o - 4 to k*o**2 + d + q*o + j*o**3 + b*o**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = -2. Let g be 2 + (0 - (-1)\/1). What is the derivative of 4*s**3 + l - 6*s**3 - g wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoaggaagag. Give prob of picking 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*j + 4*j. Let o = j + -3. Let v be ((-70)\/21)\/(o\/(-828)). What is v rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14646*b*x**2*y - 2*b*x*y**2 + 9337*b - x**3*y**2 + x**3*y wrt x?\nAnswer: 29292*b*y - 6*x*y**2 + 6*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97018068 - 732?\nAnswer: 97017336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19038 - -19184. What is the remainder when 7151 is divided by d?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-50)*75\/45?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161.4 + 161. What is the biggest value in 1\/6, -0.2, s, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.25 + -182.25. Let k = u - -181.00091. What is k rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**3\/15 - 22*i**2\/5 - 48*i + 1224\/5.\nAnswer: 2*(i - 6)**2*(7*i + 51)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 852 + -850. Suppose -u*h + 50 = 6*v - 0*h, 2*v = -2*h + 10. Solve -m - v = 4*n - 2*n, -n - 5 = 5*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = -2*z - 10*f, -10 = 5*z + 5*f. Let n be (-2 - (8 + z))\/(-2). Suppose 2*m + 801 = n*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067 a factor of 5387660642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-6)*(-30)\/(-4). Suppose -4*c - x = -13*c. Let u(o) = -3*o**3 - 3*o**2 + 4*o - 10. Let k be u(c). What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0 - 3*c)*(-1 - 2*c + 1)*(3*c**3 - 3*c**3 + c**3).\nAnswer: 6*c**5 - 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095706414 rounded to the nearest ten thousand?\nAnswer: -1095710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from lplltlllltlilhlyliy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 8, y: 1, l: 2, c: 1, i: 2}. Give prob of sequence uscu.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/60)\/((-2)\/3)*5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4323*r - 1032*r + 214940 = -617*r for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -34099 to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.140004 - -0.14. Round y to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -18, -90, -210, -390, -642?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-168)*10\/6*(-11052)\/(-1535).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5557715*p + 4962315 with respect to p.\nAnswer: -5557715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/6 - 4\/(-12). Let a = 29986 + -30007. Put a, 5, y, 0 in ascending order.\nAnswer: a, y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001184 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 + o + 1. Let u(d) = -418*d + 205*d + 2*d**3 + 214*d - 3*d**3. Give l(w) + u(w).\nAnswer: 3*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/9 and -32\/6987?\nAnswer: 20961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 16*y + 18. Let x be v(15). Suppose 0 = 3*z, d = x*d + 3*z - 130. Suppose 5*t = 10*t - d. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 2*o = 60, -m + 2*o + 395 - 390 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251 + -257. Let x be s\/15 - (-675)\/125. Let t(b) = b**2 - 2. Let w be t(2). Solve -3*l + x*z + w = 0, l = z + z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + (-4 + 0 - 1)*(5 - 3 + 0) + 4 + 0 - 3)*(0*t**3 + t**3 + 0*t**3).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - q + 10, -4*q = -4*v - 0*q - 8. Is (-1 - v)*4\/12 - -1654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 10. Suppose 4*m + 41 = 3*h, -3*m - 1 = 2*h - 0*h. Let z be p(h). Suppose -3780 + 945 = -9*c. What is the greatest common divisor of c and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2039 (base 12) to base 11.\nAnswer: -26a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + 2 = 0. Let b be -1*-22*a\/(-4). Let j(n) = -n + 15. Let m be j(b). Solve m*o = 2*c + 14, -4*o + 19 - 1 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81308 - 81308.3. Let j = 465\/4 + -117. Put d, -69, j in ascending order.\nAnswer: -69, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.47, -33 in increasing order.\nAnswer: -33, -1\/2, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 - 8*k + 11. Let n be m(-9). Solve -n*y + 3 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -2497, -5606, -9949, -15520?\nAnswer: -22313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Solve q*s = -s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3715 is divided by 161?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuwvmgvwvvcvvv. What is prob of picking 1 c, 1 g, 1 m, and 1 u?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 8948672\nAnswer: 59\/8948672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 8. Let m(h) = -h + 2. Give -9*m(c) + 2*y(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a + -b?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2434*r**4 - 45951 wrt r?\nAnswer: -9736*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*t - 62 = -195*t - y, 0 = -t - 2*y - 11. Let o(h) = h**2 + 17*h + 19. Determine o(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1761 + -1?\nAnswer: -1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904 != 3980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18671 is divided by 2666.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -6689 = -329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -11)\/(-35) - 95490\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 107*v + 125. What is the thousands digit of s(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73406572?\nAnswer: 2, 18351643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + 2*o - 12, -4*w + 15 = 3*o. Let q be 3\/(-1 + (-147)\/w). Let s = 0.1 - 0.1. Which is the third biggest value? (a) -5 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -32*c**3 - 9*c**2 + 13*c + 9. Let j(s) = -16*s**3 - 4*s**2 + 6*s + 4. Let y(w) = -4*f(w) + 9*j(w). What is the second derivative of y(x) wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.048 - -34.048. Let d = 34.3 - y. What is the nearest to 0.1 in d, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 307 - 289. Suppose -3 = -3*o - f, 3*o = -v - 10. Let z(d) = -d - 8. Determine z(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 101, 100, 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 88*g\/3 - 968\/3.\nAnswer: -2*(g + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - k. Let q be y(1). Let a = 0 - q. Find the second derivative of -2*v**3 + a*v**3 - 6*v**3 - 2*v wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -125.\nAnswer: -4\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 6*u - 2*u + 3*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/228*-8*(-9)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = 3*x - 15, 3*f = 0. Suppose x*u + 4*p = 23, 0 - 17 = -3*u - 4*p. Let t be -2 - 4 - (2 - u). What is the closest to -3 in t, -0.5, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3924)\/162 + 10 - -14. Which is the closest to 1? (a) 2 (b) m (c) 20 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2591139, -5181949, -7772759, -10363569?\nAnswer: -12954379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**2*p**3 + 3*k**2*p - 4*k**2 + 8*k*p**3 + 18 wrt p.\nAnswer: 54*k**2*p + 48*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296991 + 296996. Determine o, given that 1\/3*o**3 - 1\/3*o**y + 0 - 5\/3*o**4 + 5\/3*o**2 + 0*o = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -717756027 and -279820.\nAnswer: -718035847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4037985*c**2*q**2 + 184*c**2 - 7*c*q**3 - 111*c*q - 230 wrt q?\nAnswer: -8075970*c**2 - 42*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 1119*q**2 - 43002*q - 4180. Give c(-518).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 2*g**4 + 49*g**2 - g**4 - 46*g**2 - 4*g**4 to the form v + u*g**3 + l*g + f*g**2 + n*g**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 3*k - 2*k**2 + (-2 - 2*k - 4*k - 2*k)*(k + 4*k - 4*k).\nAnswer: -10*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1342*r + 1342*r - 1 - 7*r**3)*(-8 - 1 - 1)*(-4 + 3 + 2 + (-1 + 0 + 0)*(3 - 2 + 1) - 1 - 2 + 1) to y*r + t*r**3 + j + v*r**2 and give t.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 times 0.1?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67 - 18*g + 110 - 58 + g**2 wrt g?\nAnswer: 2*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 1, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2 - 13 = -7*g + 5, -9*j + 11*j = g - 3*g + 16 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162 + -19. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1105, 1106, 1107?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -27*t**2 - 4*t. Let a(i) = -i - 13. Let q be a(-6). Let u(k) = 13*k**2 + 2*k. Let n(m) = q*u(m) - 3*y(m). Find the second derivative of n(o) wrt o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -431470.7850007 + 431496.785. Let h = 25.9806 + 0.0194. Let g = y - h. Round g to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let n be x(0). Suppose 2*g + n*g - r = 1, -2*g = 5*r - 7. Let a be (-26)\/(-88) - 6\/(-24). Is g smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3320 by -830.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -8. Let u = r - -9. Let n = 29 + 21. Calculate the greatest common factor of n and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-7)\/9) - (-40)\/5. Which is the third biggest value? (a) -1\/13 (b) 17 (c) j (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/110 - 54*d**4\/11 - 639*d**3\/11 + 132*d**2 + 24*d. Suppose y(p) = 0. What is p?\nAnswer: -213, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 0.7, -124, -2\/9, -1\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36761 (base 9) to base 10.\nAnswer: -24679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = -0*l. Suppose l*z = 5090 + 1405. What are the prime factors of (-2)\/(-15) + z\/45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7063 - 7055 - (-38)\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*g**2 + g**4 - g**3 - 4 + g**4 to m*g**4 + c + n*g**2 + q*g**3 + o*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-3)\/5)\/(4\/(-60)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, -0.2, 2, -397?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -613716 divided by 2.\nAnswer: -306858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-9) + (-317866567)\/(-519) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*g, -148*g + 152*g = 3*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/2 - 21*u**2\/2 - 135*u\/2 - 243\/2 = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1435)\/(-63) - (87\/(-27) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -91. Suppose 5*p - 20 = h*b, p + 2*p - 13 = 4*b. Suppose 0*s + 15 = p*s, 5*j + 5 = 2*s. Let u(n) = -n**2. What is u(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 194, 285, 360, 413, 438, 429?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41062349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s = -83*s - 122*s - 23*s + 7760 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 821 - 136 + 453 - 88 to the form v*a**2 + i + w*a and give i.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -264375, -264371, -264347, -264291, -264191?\n\"Answer: 2*n**3 - 2*n**2 - 4*n - 264371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1937056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/30 - n**4\/3 - n**3 + 6*n**2. Determine j so that x(j) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - -10. Let h = 122 - v. Let a(r) = r + 5. What is a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90476?\nAnswer: 2, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -446504*d + 406186 wrt d.\nAnswer: -446504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 + 3*v - 2. Let y be a(4). Let q(i) = 6*i**2 + 39*i - 19. Let r be q(-7). Solve -r*k + 3*x = -y, -5*k - 2*x - 17 = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**5\/5 - h**4\/6 - h**2 + 115*h. Let z(k) = -k**3 - k**2 - 1. Give u(w) - 2*z(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -33. Does 5 divide 23\/4 + (-2)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865 divided by 2?\nAnswer: 2865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -943*h**2 + 939*h**2 + 1 + 0*h + 5*h + 2*h**3 to w*h + y + t*h**3 + x*h**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9)\/(60\/45)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**18*b**(-7))\/(b*b\/(b**10*b)*b*b**16) assuming b is positive.\nAnswer: b**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a kilogram in grams?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373940670?\nAnswer: 2, 5, 59, 2328713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -15747?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15387 + 23324. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (378033\/12)\/(1\/68). Suppose 4*s = 2*g - 4497823 - p, -6639975 = 4*s + 5*g. What is s rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (115\/5)\/((-21)\/(-14)*2)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*u = -1238*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 274 = -4*j, -j - 2*t = -5*t + 79. Suppose 75 = -4*v + 335. Let b = j + v. Sort -0.14, b, 3\/8 in decreasing order.\nAnswer: 3\/8, -0.14, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -326.67 + 328. Let p = 4.67 + q. Is p smaller than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 17*q + 64 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 237.\nAnswer: 5925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-3) + 15\/3*5. Suppose -238 = -i*k + 11*k. Suppose -3*f = -0*f. Solve 2 = -n, -5*p - 2*n - n + k = f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59848714940295 - 0.5?\nAnswer: 59848714940294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 188*l - 96. What is the remainder when k(3) is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/(-24))\/(3\/(-6)). Let p(b) = b**3 + 3*b**2 - 4*b - 5. Determine p(q).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2663892 and 204?\nAnswer: 45286164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*2\/(-30) + 95\/(-90). What is the closest to 1.1 in -2\/5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112244201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 12:17 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2995 (b) 2 (c) 4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-100)*260\/156.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 28. Is 14 a factor of (v\/(-4))\/((-2)\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6997 = -19*z + 28*z - 12263. What are the prime factors of z?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1*(-1 - 0). Let u(m) = 11*m**3 + 14*m**2 + 10*m + 20. Let x be u(-4). Let d = 512 + x. Solve -3*v = -f + z*f + d, -2*v + 2*f + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547 is divided by 11\/44*188 + (-17 - -27).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253926 is divided by 1612.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 5*v**2 + 0*v**2)*(-3*v - v + 5*v)*(38 - 3 - 2)*(1 + 1 - 7).\nAnswer: 330*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-5091)\/(-9)*-3 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*c - 10*c - 3*j, -2*c - j = -15. Let v be -1*(17 - (1 - 1)). Let s = 31 + v. What is the smallest common multiple of c and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 8:56 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*p - 5*p + 1)*(-8 + 7*p + 8).\nAnswer: -21*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -461*o + 8. Let d(l) = -1846*l + 37. What is -2*d(a) + 9*i(a)?\nAnswer: -457*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = -i. Suppose 6*j - 8*j + 10 = 0. Calculate the remainder when (-107)\/(-4) - j\/(-20) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - 108?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*g + 1054*g**2 - 63*g + 136*g.\nAnswer: 1054*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120010 (base 3) in base 7?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 2*w)*(-1 - w**2 + 1) + 2*w**3 + 0*w**3 + 0*w**3 + (3*w**3 + 142 - 142)*(-14 + 6 + 22).\nAnswer: 45*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 2*v + 84. Determine x(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/2*(-19)\/(-3458)*13. Put y, -0.079, 1 in decreasing order.\nAnswer: 1, -0.079, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5340 or -5432?\nAnswer: -5340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4680901?\nAnswer: 4680901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1*1)\/((-22)\/44). Suppose -y + 138 = -5*p, 7*y = 3*y - g*p + 552. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 3, i: 7, r: 2, v: 3}. Give prob of sequence rry.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/q**(-1\/3))*q**(-2\/5))\/(q**(3\/16)*q**(-5\/2)))**(-3\/13) assuming q is positive.\nAnswer: q**(-619\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yynn when four letters picked without replacement from ynyyyyynnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7547484*h**2 + 35336292?\nAnswer: 15094968*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211\/((-39924576)\/(-7920)) + (-6)\/108.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0.4, -4, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -7 - 29. Let n be 1 - -1 - (6 + q). Suppose 8*l - 729 = n*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 - 3*l + 2. Let r(o) be the third derivative of -o**5\/15 - o**4\/8 + o**3\/2 + 257*o**2 - o. Give 3*b(d) - 2*r(d).\nAnswer: -4*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6231020 + -1?\nAnswer: 6231016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14618.1 - -14618. Which is the fourth biggest value? (a) s (b) 2 (c) -16 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 15*w - 32. Let v be t(17). Suppose -v*p + 0*p = -56. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/463095 and 89\/960?\nAnswer: 29638080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/((-198)\/99)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 909837 and 136869.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z - 1. Let i(a) = a**3 + a - 3. Let u be i(-2). Let v = u - -15. Determine o(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 - 110. Suppose 3*w = 6*w - p. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*f + 14 = 3*f, -f + 4 = o. What are the prime factors of o\/(12\/40) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/3 + 13*y**4\/3 + 40*y**3\/3 + 12*y**2.\nAnswer: y**2*(y + 2)**2*(y + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-10))\/(-1)*(-4)\/4. Which is smaller: y or -49\/11?\nAnswer: -49\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 175. Let j(s) = s + 2. What is -i(q) + 3*j(q)?\nAnswer: q - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 31*x**2 + 18*x + 16. What are the prime factors of o(7)?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 - 5*q**2 - 12*q - 2. Give z(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 556 and -0.36.\nAnswer: 555.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304919976 divided by -25409998.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 4264*v - 189795. Give g(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*g - 0*g - 246, 2*g - 120 = -2*k. What is the hundreds digit of (-9)\/(k\/(-1939)) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*t**5 + 868*t**4 + t**2 + 4465*t + 2 wrt t.\nAnswer: -1680*t**2 + 20832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -15 + 14 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6336 + -6355.055. Let a = 19 + h. Round a to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45571, 5, 3 in decreasing order.\nAnswer: 5, 3, -45571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4 - 2*h**3 + 18436*h**2 + 81416.\nAnswer: 4*h**3 - 6*h**2 + 36872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 + 12 = 0. Let a = h - -1. Suppose -y + 14400000 = -a*y. What is y rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10087529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 - 26*o**4 - 42*o**3 + 170*o**2 - 100*o = 0 for o.\nAnswer: -10, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/15 + (-14)\/(-21). Suppose 3*i - 4*o = -o + 15, o + 21 = 3*i. Solve -s + q*s = i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16812\/41096)\/((-12)\/11).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -8*m - 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/5 smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*w - 7. Let g = -7 - -3. Let h = g + 9. Calculate the greatest common factor of h and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30200867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*m - 36. What is the hundreds digit of (15\/5)\/m*326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12300231 (base 4) to base 12\nAnswer: -14039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23149930 to the power of 1\/2, to the nearest integer?\nAnswer: 4811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (8 + -62) - 18) + -10 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put together -704689964.5 and -0.22.\nAnswer: -704689964.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p. Let s(m) = 2*m**3 + 2*m**2 - 4*m + 6. Let z be s(-3). Let o be 4\/z + 160\/72. Let h(y) = -1680 + 1680 - 8*y**o. Calculate h(d(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 44. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/8 (b) 62\/19 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 1 (c) 0.5 (d) -0.38 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8638536 and 32\/96569?\nAnswer: 95023896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76\/3 - -25. Let v = -5.8 + 6. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*x = 62, -2*x + 7*x = -2*q + 26. Suppose 3 + q = u. Let c be -6*(-235)\/30 - 5. Calculate the greatest common factor of u and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 317\/10 + -156\/5. What is the nearest to -2 in 105, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/15))\/v)**37*(v*v**(-2\/7))**(1\/25))**(-22) assuming v is positive.\nAnswer: v**(-11462\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2. Suppose 4 = 2*x + o - 5*o, 0 = 4*x + 3*o - 8. Let d(c) = c**2 + c - 10. What is x*d(b) + 11*v(b)?\nAnswer: 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 7. Let o be d(-5). Is ((-11)\/(-2))\/(o\/(-66)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 745 - 310. List the prime factors of o.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5636, 11342, 17048?\nAnswer: 22754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 + 120*l + 66 - 9*l - 251*l**4 - 65 + 258*l**4 to the form g*l**3 + d*l**2 + z*l + p + i*l**4 and give z.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22623, -22599, -22539, -22425, -22239, -21963, -21579, -21069?\n\"Answer: 3*t**3 + 3*t - 22629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*q + 2*q - 45, -i - 2*q + 4 = 0. Let r = 25 - 15. Calculate the smallest common multiple of 14 and 24\/i - 4\/r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*g - 1)*(0 - 1 + 3) + (0*g - 2*g + 5*g)*(6 + 0 + 1) - 6*g - 66*g + 7*g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34870760329\/3290850 - -22\/182825. Let q = m - 10592. Find the common denominator of q and 560914\/66708 + (-30)\/85.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 36*l - 164 = -0*l. Solve -3*v + 34 = -4*a + 9, l*v + 8 = -5*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084456.6263 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -32*i - 59. What is the hundreds digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.41 - 2.11. Let f = -0.3 + x. Which is the nearest to -3? (a) 3 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7651861267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -536 + 629. Let x = k - -128. List the prime factors of x.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -114*j**2. Let y(i) be the first derivative of -i**2\/2 + 46. Give y(l(n)).\nAnswer: 114*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -707\/779 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**2 - 9*j**2 - 2*j**2 + 8*j - 8*j + 2*j**2 - 10*j + j**2 + 10*j + (j + 4 - 4)*(2*j - 6*j + 3*j) - 1 + 1 + 2*j**2 to q*j + k + y*j**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 162.9278 kilometers?\nAnswer: 162927800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 5*w + 3*w + 6*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -145541113.6 rounded to the nearest one million?\nAnswer: -146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + 2*b**2 + 7*b + 4. Let i(t) = 9*t**3 - 5*t**2 - 14*t - 8. Let a(m) = 11*d(m) + 6*i(m). Let p be a(-7). Is 2 a factor of (-2)\/p - 34\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2. Let z = 1 + 0. Suppose -2*h + 5 = -3*h, -4*h - 14 = 3*o. Let f(g) = g**o + z - 1. What is l(f(n))?\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 42498492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z + 12. Let h be k(0). Suppose -8*y = -h*y - 4. Let v be y\/5*(-7 - -5). Sort -1, v, 3 in decreasing order.\nAnswer: 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 140. Is s < -53\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 7*z + 7. Let v be h(-8). What is the remainder when 3*((-1100)\/v)\/(-2) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*s - 2880, 4*s = 4*i - 828 - 4964. What is the least common multiple of i and 10?\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -680*x**3 + 27*x**2 - 9*x + 70. Let r(k) = -170*k**3 + 6*k**2 - 2*k + 17. What is -2*p(j) + 9*r(j)?\nAnswer: -170*j**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 223125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 + 1 + -1. Let a = 5.6 - 8.6. What is the closest to 2\/5 in 2, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 16) to base 8\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -2 (c) 144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 - 245.8. Let u = 248.02 + k. Let m = 0.02 - u. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27))\/(1197\/798)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -741941320?\nAnswer: -741941319.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 14, e: 1, m: 2}. Give prob of sequence mnne.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 74 - 282. Let z = k + 95. Calculate the greatest common factor of z and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.53267 months to years.\nAnswer: 5.3777225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.977 - -40.923. Let k = z - 42. Which is bigger: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*4.2213\nAnswer: 16.8852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/32528 and -99\/214?\nAnswer: 32528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 3, w: 1}. Give prob of picking 3 m and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 1679 = 22*j - j + 1510, -j + 21 = -0*j - 2*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2070816 to three decimal places.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 23 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15123 = 1113*l + 40527 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-166419)\/(-2))*(-338)\/(-7885410). Let b = 2\/101095 - n. Calculate the common denominator of b and 107\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 22. Find the third derivative of -y**4 - y**4 + d*y**2 - 17*y**2 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597.79746 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8896153.\nAnswer: 7, 1270879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 - a**2 + 4*a - 12. Let q(g) = 5*g**3 + 2*g - 10. Calculate -2*l(j) + 3*q(j).\nAnswer: 5*j**3 + 2*j**2 - 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/31)\/c**(4\/5))**(1\/8) assuming c is positive.\nAnswer: c**(-57\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2673, -2674, -2675, -2676, -2677?\nAnswer: -2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83327393, -83327396, -83327401, -83327408?\n\"Answer: -j**2 - 83327392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72135?\nAnswer: 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 39*g**3 + g**2 + g + 1. Suppose 3*z = 2*x - 1, 5*z + 2*x + 7 = -0*x. Let p be l(z). Let v = 59 + p. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*i, -2*i + 0 = -l + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/9)))\/b**(1\/7)*(b*b*b**(-2\/5))**(-4\/3))\/(b**(2\/5)\/(b**(-1\/13)\/b*b))**10 assuming b is positive.\nAnswer: b**(-29306\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -0.4?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-12)*o**(-2\/5)\/((o\/(o**(-7)*o))\/o)*((((o**(-2\/13)\/o)\/o)\/o)\/(o*o\/o**(-2\/19)*o))**(3\/16) assuming o is positive.\nAnswer: o**(162293\/9880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -34. Let i = 23 + a. Calculate the highest common factor of i and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-9))\/(2\/(-12)). Let d(z) = 2*z + 2. What is d(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -4939 + 4859 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 18. Calculate the least common multiple of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 1. Let w be b(-5). Differentiate -1 - 2 + 8 + 4*o**3 + w with respect to o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**3 + l**2 - 464*l - 454. Let s(g) = 3*g**3 + g**2 - 4*g - 2. Let b(p) = 3*s(p) - v(p). Factor b(c).\nAnswer: -2*(c - 16)*(c + 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5463.281 kilometers in centimeters?\nAnswer: 546328100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 2*a - k - 92, 2*a - 3*k - 92 = 0. Suppose -n + i + a = 3*n, -2*i - 32 = -3*n. Solve j = -2*q, -q - 3*q = 5*j + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5814014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z + 15. Let s(d) = -d**2 + 3*d - 1. Let g be s(4). Let l = 1866 + -1864. Sort g, l, -8, z in decreasing order.\nAnswer: l, z, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/(-3) + (-1)\/3. Suppose -16 = -4*w + 4*a, 4*w - 8 = i*w + 2*a. Suppose -2*v - 4 = 4*j - w, -5*j + 3*v - 16 = 0. Put -3, j, -5 in decreasing order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2948 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r - 7*r + (-2 + 2 + 2*r)*(1 - 2 - 1) + r + r - 3*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -6*w**5\/5 - 3*w - 3. What is the derivative of q(s) wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834039558 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 13\/2*c**2 - 3 + 0*c**3 - 2*c**5 + 0*c + 0*c**4. What is the second derivative of j(y) wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**10\/x*x)**(-12)*(x\/(x*x*x**(-2\/7)))**(-18\/7) assuming x is positive.\nAnswer: x**(-6966\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 10) to base 11\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(13056\/(-11792)) + -43\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142295374 and 2?\nAnswer: 284590748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 61 - 79 - 60 + 164 - 134.\nAnswer: b - 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18.81565883 + 6.54\nAnswer: 25.35565883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + q - 5 + (-1 + 0 + 0)*(-2*q - 4*q + 4*q) + (-4*q + 5*q - 3*q)*(3 + 0 - 1) - 4*q + 2*q + q in the form v + a*q and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1*12\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20.4. Let a = 0.8 + 0.2. What is the second biggest value in -5, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 - (-303)\/(-6). Let r be g\/(-15) - (-2)\/(-5). Sort -3, r, 4, 1.\nAnswer: -3, 1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 + 174.9846. What is a rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 2*m**4 + 2*m**4 + (-2*m - m + 2*m)*(-m**3 + 4*m**2 - 4*m**2) + (-2845*m**2 + 61*m**4 + 2845*m**2)*(-3 - 3 + 5).\nAnswer: -62*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xkxdk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 58 - (42 + -116)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9122 divided by 4561\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 0.845, 1\/10, -0.5, -17, 24?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2271 and 1240723.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11292 - 0?\nAnswer: 11292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204642 (base 7) to base 4.\nAnswer: 20213232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0499 rounded to 2 dps?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 373507, 747010, 1120513, 1494016, 1867519?\n\"Answer: 373503*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 69 - 60 - ((-1 - 4) + 2 + 53) - 9\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Suppose v - 3 = -p. Let f(o) = -6*o**2 - 44*o - 61. Let d be f(-5). What is the greatest common divisor of d and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -19. Let j = -18.1136083 + -56.8863107. Let u = j + g. What is u rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -338*o**5\/3 + 25922*o**4\/3 + 57830*o**3 + 288910*o**2\/3 - 97552*o\/3 - 130144 = 0.\nAnswer: -3, -28\/13, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-6)*(312\/(-65))\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.391 + -17.391. Let s = -3 + 5. Let d = -2.1 - -2. Sort r, d, -2\/13, s.\nAnswer: -2\/13, d, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26098 and -27.\nAnswer: 26071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1854 and 432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, u: 3, g: 2, x: 1, p: 4}. Give prob of picking 1 m and 1 u.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) -0.6 (c) 2 (d) -16386 (e) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63060556.\nAnswer: 2, 13, 1212703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 - d - 10. Let c(k) = -15*k**2 + k + 21. Let q(b) = 6*c(b) + 13*h(b). Determine q(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - g**3 + 4*g**2 - 5*g**2 + 1 in the form l*g**2 + m + d*g**3 + h*g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 17*f + 31 = 31*f + 5*b, -4*f - 12*b + 72 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 99*(-36)\/(-543510)*(-10)\/4\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 2}. What is prob of picking 2 q?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 43*c + 44*c = -90, -65 = 5*d - 4*c for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*160\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:56 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/9*(17095\/5786)\/((-10)\/(-165)).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j**2 - j + 1. Let x(w) = -7*w**3 - 3*w**2 - 12*w + 3. Let o = -21463 - -21464. Give o*x(m) - 3*b(m).\nAnswer: -4*m**3 - 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 21292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -13 (c) -709\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19140.\nAnswer: 2, 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 9 + 5 + 8.\nAnswer: -x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 4 - -1) + 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832)*-2 - (sqrt(832)*2 + -3))**2.\nAnswer: -192*sqrt(13) + 13321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -1 - (8 - -1)) + (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97587*m**2 - 7*m - 2700665.\nAnswer: -195174*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5183.47 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 - 5*r - 8*r**2 + 4*r + 108 + 6*r. Let m be s(13). Solve 4*b = p + 23, 0 = b - m - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3919*n + 97*n**3 - 212*n**3 + 116*n**3 to q*n + l*n**3 + g + z*n**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -11*p. Let d(s) = -s**3 - 2*s**2 + 2*s + 13. Let f be d(p). Suppose -k - 8 = -f. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*t - 667 - 2345 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -113.932. Let m = 18.932 - n. Let p = 20 - m. Which is the closest to -1\/4? (a) 5 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 1337606699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5578943 to the power of 1\/2, to the nearest integer?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 0.91, 49, -4?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780 divided by 20?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j + 43*j + 74 + 48*j + 24*j - 68 to d*j + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 4*o - 7. Let n be d(-6). Suppose -b + 3*a - 3 = 0, -n*b + 1 = 2*a - 1. Solve b*i - 12 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 12) to base 11.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5 + 21. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1700\/350)\/(((-39)\/42)\/13)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -40. Let t be -2*(-15)\/(15\/(-4)) + (23 - 15). Solve 3*k - 2*f = -t*f + 8, 5*k = 2*f + j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*l**2*p**2 + 36*l**2 - l - 31*p**4 + 79 wrt p?\nAnswer: 36*l**2*p - 124*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9.31457790032 - -0.4\nAnswer: -8.91457790032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1432*p + 89 - 191*p + 317.\nAnswer: -1623*p + 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11313? (a) 1\/8 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 629, 875, 1121, 1367, 1613, 1859?\n\"Answer: 246*n + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Suppose z*h + 0*h - 54 = 0. What is the lowest common multiple of 14 and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 57*m + 622. What is s(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 141, 352, 647?\n\"Answer: 42*f**2 + f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsszdridszr. What is prob of sequence ddr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 2*b**5 + b**5 + (5 - 2 + 1)*(-4 + 6 + 5)*(36*b**5 + 11*b**5 - 3*b**5) + (-3*b**2 + 2*b**2 + 2*b**2)*(-b**3 + 0*b**3 + 2*b**3).\nAnswer: 1231*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvuwvvvxvqux. Give prob of picking 1 u, 1 x, and 1 w.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (0 - 4))*29\/(-87)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/1069 (b) 11 (c) -8 (d) 2 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24508)\/(-8))\/(-9 + (-385)\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 5*v + 4*v + v**2 - 5. Give r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:52 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -10. What is the least common multiple of 86 and f?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*w**2 + 140*w - 9377 wrt w.\nAnswer: 84*w + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.371 - 0.629. Which is the nearest to -0.2? (a) 0.11 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -80*r**5 - 5135*r**4 - 79840*r**3 - 157510*r**2 - 95640*r - 12915 = 0?\nAnswer: -41, -21, -1, -3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 7 + -37 + 30\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i + 2. List the prime factors of s(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y**2 - 23*y + 62. Is q(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1)*(-9 + 6 - 75*u**2 - 244*u**2).\nAnswer: -638*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 99*l - 235. What are the prime factors of r(69)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -2, -3\/7, -0.286, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4751 + 0.0751. Which is the second smallest value? (a) -2\/13 (b) 2.9 (c) y (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 36) + 32 - 30.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/b**2)**(2\/147))**(4\/7))**22)**9 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**4\/12 - 2*b**3\/3 - 1231*b**2. Let q(o) = 2*o - 5. Give -3*c(j) + 2*q(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 88. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1104, 2212, 3320, 4428, 5536, 6644?\nAnswer: 7752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-6)*2754\/756 + 20.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002970121 to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320 + -322. Let b = -14 - -14.2. Let r = -5.02 + 0.02. What is the third biggest value in 3, b, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:52 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102162?\nAnswer: 2, 3, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i**2 + 12*i - 12. Let j(u) = 7*u**2 - 10*u + 10. Let t(r) = -6*j(r) - 5*p(r). Let v(s) = -s - 17. Determine t(v(y)).\nAnswer: -2*y**2 - 68*y - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 32594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/35 or -2\/19?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 16 = 0, 3*b + b - 65 + 1 = -2*d - 10*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17737640 (b) -1\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -687, -1537, -2717, -4221, -6043?\nAnswer: -8177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*v - 41 + 152*v + 3 - 306*v in the form a*v + h and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3 + 3877*r**2 - 570418*r + 1125320 = 0.\nAnswer: -4019, 2, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335688 by 6.\nAnswer: 55948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*s**3 - 85*s**2 - 2 wrt s?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*g + 45, -39 = 2*g + 5*k - 9. Let m(s) = s**2 - 3*s - 10. Is m(g) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) - (sqrt(3) + 1)))**2 + (sqrt(6)\/sqrt(2) + 2)**2.\nAnswer: 4*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3744 is divided by 475.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*4\/6*-1. Is 4*28 - (3 + l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83518 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 + -2 - 10) + (1 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 greater than -226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 12. Suppose -u = -5*q + 4. Let k(j) = -2*j**2 + 1 - j**3 - j**q + 0*j**3 - 3*j**2. What is k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74865, -149732, -224599, -299466, -374333?\nAnswer: -449200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 10*m**3 - m**3 + m**2)*(5*m + 0 + 0).\nAnswer: -55*m**4 + 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001446098876 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 66\/(-12) - 4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*j + 111, 130619*q - j = 130616*q + 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = m - 7 + 25, 0 = -5*m + o - 42. Let h be m\/(-2) + (-9)\/(-18). Let k = -46 - -45. Sort k, -3, h in increasing order.\nAnswer: -3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(8))\/sqrt(4).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12800025 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 8, y: 7}. What is prob of picking 2 a?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n. Let u(h) be the second derivative of h**3\/3 + 2*h. Calculate u(y(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112*q*s**2 - 213*q - s**3 wrt s.\nAnswer: 224*q*s - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 2 - -1) + (-1387 - -1398)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 3. Let d be u(0). Let h be -3*(0 - (-3 - 0)). Let a be (-2)\/h + 158\/18. Solve -5*g - a = -d*s, g + g - 15 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -21*h**2 + 2*h - 1. Calculate a(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 13*c**2 + 13*c + 13. Let y be g(-12). Which is greater: y or 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (1 + -4 - 2) + 756. Let g = -311 + q. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 7*f - 8. Let v be k(9). Suppose -3*u = -2*u + v. Let y = -6 - u. Solve 0 = -y*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l - 703. What is w(59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -366385.96 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 15) to base 3.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 42 = -v, 44*o + 56 = 43*o + 3*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 9*i**2 + 28*i - 18. What is q(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -289, -354, -399, -412, -381, -294, -139?\n\"Answer: 2*y**3 - 2*y**2 - 73*y - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 2*s**2 + 7*s + 5. Let p be f(-5). Suppose 4*b - p - 390 = 0. Let j(h) = 27*h - 2220. What is the remainder when b is divided by j(83)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.04 - -16.343. Let q = 0.303 - c. Do q and -88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11610 and 180?\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2729 divide 29240983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (10 + (-7 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/4)\/(-5) - 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39.288, 2\/7, -1.3, -1\/2 in decreasing order.\nAnswer: 39.288, 2\/7, -1\/2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 13) to base 12.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.5 and -0.22?\nAnswer: 6.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10266 is divided by 214?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224592.\nAnswer: 2, 3, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/784*-12*7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 206383*m + 825528. Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343958528 + 0.06.\nAnswer: -343958527.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 - -0.073.\nAnswer: 0.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -5. Let q = 26 - b. What is the highest common factor of q and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77854 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 22\/15, -1065, 33?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048019 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*g = -51, -2*g - 79 = -5*w + g. Let o = 14 - w. Let l(p) = p + 6. Calculate l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.4 (c) -38 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - -0.15. Let h = u - -0.0299991. What is h rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:52 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 178494 at most as big as 178491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 143 + 139 = 0. Suppose -2*v = -j*m - 26, 0*m = -v - 2*m + 9. Suppose 3*b = v*b - 720. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010002 (base 3) to base 14\nAnswer: -2989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 443.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 78*n - 192. Give g(28).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 1234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 40016780329285 and -7?\nAnswer: 40016780329292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -3?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7022070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 u, and 1 w when four letters picked without replacement from twjwkkujukukuuww?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*c, -4*z + 3 = 9*c - 7*c + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a factor of 3032751912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:33 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) + 494\/(-190)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -3318.\nAnswer: -3318, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.93 - -0.07. Let l = g + -1. Let t = -228 + 232. Which is the second smallest value? (a) t (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 41*u - 46*u + 35, 5*u - 25 = 0. Suppose -m + 19 = -5*y + 105, 5*m + g = 0. Calculate the remainder when 83 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 92 - 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/2208*1*8\/10.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*y**3 - 385*y.\nAnswer: 1008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 270274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 748*h**2 + 748*h**2 + 8*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 + y + 29. Calculate z(-10).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 22*i**2 - 24*i - 56. What is d(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-5)*s\/(s\/(s\/s**(-3\/8)*s))*s**(-8)*s*s*s**(-7)*s*s)**(-9))**(-6\/37) assuming s is positive.\nAnswer: s**(-2511\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -30. Let q = 4 - x. Suppose -q*o = 5*f - 200, -o = -3*f + 23 + 77. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 182, 255, 358, 491, 654, 847?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - -5 - (0 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/9 + 28*d**3\/9 + 106*d**2\/9 + 152*d\/9 + 8 = 0. Calculate d.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14329 and -496.42.\nAnswer: 7113202.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8182 and -6.\nAnswer: 4.9092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3365717 times -0.4\nAnswer: -1346286.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*p + 24, 2*b - 3 = 3*p + 5. Which is smaller: b or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((0 - 1) + 2 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 49996*w + 50001*w + (2 - 1 + 1)*(-2*w + 2*w + 2*w))*(1 - 5 + 2).\nAnswer: -18*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(343))**2 + 5).\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -136267.16 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Suppose 2*q + 3*t - 15 = 8, -2*q + 2 = -4*t. Let y(m) = m**2 - 2*m**2 - q*m**2 - m**2. What is h(y(l))?\nAnswer: 162*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*f + 17, 0 = 3*o - 7*f + 6*f + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-16) - (2 - -1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 6*v**2 + 11*v - 18. What is the remainder when 130 is divided by s(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, 20 in descending order.\nAnswer: 20, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*w**3 + 158*g**3 - 2*g**2*w**2 + 7*g*w**3 - 115*w**3 wrt g.\nAnswer: 6*w**3 + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 76.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/26 + 4\/(-26). Suppose 2 = -u*m + m. Let p(y) = 6*y**2 - m*y**2 - 3*y**2 - 3*y**2. Let z(n) = 24*n. Give z(p(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-76)\/(-342))\/(6\/1855926).\nAnswer: 2, 34369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*g - 90212 - 64636. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*1\/(-3). Let k be 12\/(-14)*2\/(-6). Let z = -42.8 + 37.8. Which is the nearest to k? (a) -0.1 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7062 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 9*i**2 + 2*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - 1*sqrt(170) - sqrt(170))*3)\/sqrt(10)*6 - (6*1*(sqrt(2448) + -2))**2.\nAnswer: -88272 + 1710*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 56166055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100442 - 4?\nAnswer: 100433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*403837.\nAnswer: 403837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let q(z) be the first derivative of z**4\/6 + 7*z**3 - 146*z + 65. Let s(h) be the first derivative of q(h). Determine o(s(y)).\nAnswer: 2*y**2 + 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1404, 4887, 10422, 17991, 27576?\nAnswer: 39159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 842210*a**2\/7 + 842218*a\/7 + 8\/7.\nAnswer: 2*(a + 1)*(421105*a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165841\/29 - -5717. What is the common denominator of q and 487\/(-14610) - 494\/(-60)?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 8. Let o = -6 + d. Let m = 0.043 - -0.457. What is the nearest to o in -0.2, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 167, 166, 165?\n\"Answer: -j + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)*y*y**(3\/10))**(-3\/5) assuming y is positive.\nAnswer: y**(-243\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 194 divided by 4\nAnswer: 97\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13205601 - -6?\nAnswer: -13205562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1516, 1\/2, 2\/9, -1.\nAnswer: -5, -1, 2\/9, 1\/2, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 42938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/45 - 632\/(-15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, 98, -0.3, 2\/3, 4\/705?\nAnswer: 4\/705","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 477686 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + v**2 + v**4 + (-6*v**2 + 10*v**4 + 6*v**2 + (5*v + 0*v - 3*v)*(2*v**3 - 1 + 1) - 2*v**4 - 4*v**4 + 5*v**4)*(-2 - 1 + 4).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260970 divided by -1326.\nAnswer: 43495\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1167\/12)\/(83\/1660). Solve 1950*a - k*a + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027647 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 12, 25, 42, 63?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 170*g**2 + 6*g + 28220. What is r(171)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.7067761 nanoseconds?\nAnswer: 0.00000000000075188225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knpnvinipn. What is prob of picking 1 p and 1 k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -295\/8 + 37. Let s = -7 + 9. Which is bigger: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 6\/13, -2\/7, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.094 + 0.09399995. Round w to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*l - y - 25, -3*l - 41 = -2*y. Let n = 10 + l. Let q be (-9)\/n + -4 - -3. What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60321 - 1?\nAnswer: 60320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55546, -111045, -166544, -222043, -277542, -333041?\nAnswer: -388540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4505726959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(1\/3))\/o)\/o)**47*(o**(-6)*o*o)\/o*o*((o*o**(-8\/5)\/o)\/o)\/o)**(-29\/4) assuming o is positive.\nAnswer: o**(4234\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 258497402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 7*i - 2*i + 4*f, -2*i - 10*f = -218 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 3*f + 3*f + (-3 + 3 - 2*f)*(5 - 3 + 1))*(23*f - 22*f + 74*f).\nAnswer: -525*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -50.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6723520187.\nAnswer: 47, 8221, 17401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1167333*c**2 + 1166730*c**2 - 2334044*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 - 8*p**3\/3 + p**2\/2 - 8*p + 22. Let j be v(8). Which is the second biggest value? (a) 3 (b) -0.2 (c) j (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + (-56 + 6 - -82).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 536943*w**2 + 893268*w wrt w.\nAnswer: 1073886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1 + 4*g**3 - 133*g**2 + 0*g**3 + 131*g**2 - g**3. Let f be v(3). Suppose -4*m + f = 58. Solve 7 = -p + 2*q, -2*q + 3*q - m = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/15 + (-11)\/(-15). Let w = 293.54 + -290.54. Put -2\/5, w, -0.1, z in descending order.\nAnswer: w, z, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 12:26 AM?\nAnswer: 594","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 3004.2 + -3004.119985. Let y = -2 + 2.08. Let q = y - m. Round q to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -558436 and -558207 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 70*a - 619. Let t be p(9). Solve 5*h = 2*d + 11, t*h - 14*h - 9 = 4*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 704*k - 703*k - 53, 0 = 3*j - 4*k - 74. What is the least common multiple of j and 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21633 + d**2 - 43259 + 1448*d**3 + 21638 + 11*d wrt d?\nAnswer: 8688*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*c + 3*p, 3*c - 11*p + 3 = -8*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199875513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 7. Let q(x) = -x**2 - 6*x - 7. Determine -6*n(y) - q(y).\nAnswer: y**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*o**2 - 1260*o**2 - 790*o**2 + 2224*o**2.\nAnswer: -532*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 - (19 - 14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 4, f: 2}. Give prob of picking 2 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/294564 and -41\/96?\nAnswer: 2356512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -6)\/16 + 18\/8. Suppose 0 = -5*u - 15, 0*l - d*l - 9 = 5*u. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6325 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1186960?\nAnswer: -356088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.16187 kilograms to milligrams.\nAnswer: 10161870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpsmpmsspmptptp. Give prob of sequence ptt.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399 = 580*z - 5660 - 2699 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4465, -9172, -13879?\n\"Answer: -4707*m + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, -4283 in increasing order.\nAnswer: -4283, -25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 114 and -69290748.\nAnswer: -69290634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5\/2 - 8739*v**4\/4 - 19701*v**3\/2 - 16428*v**2 - 12051*v - 13149\/4 = 0. Calculate v.\nAnswer: -3\/2, -1, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 58 - 138 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 + 2 + 0 - f**3 + 3 + 2*f**3 - 3 + (0*f + 3*f + f)*(4*f**2 - 6*f**2 + 4*f**2) to r*f**3 + d*f**2 + w*f + l and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*t + 380 = 0, 25*t = 2*o + 21*t - 152. Calculate the greatest common factor of 3078 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 71. Suppose -3*a = 0, 3*b - a = -y*a + 696. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/32 - (-51 - 74277\/(-1449)).\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:46 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41999 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c - 7. Let w be a(-5). What is the derivative of -3*m**3 - 4*m + 3 + m**w + 4*m wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43194, 86489, 129784, 173079, 216374?\n\"Answer: 43295*z - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1692.0001447 - 1692. Round i to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 6*c, 0 = 5*q - 3*c - 13. Solve -q*x - 8 + 2 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -272894.736\nAnswer: -13644.7368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -47*c**5\/120 + 8*c**4 - 61*c**3\/3 + 152. Let q(j) be the third derivative of p(j). Differentiate q(w) with respect to w.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 6*z - 42 = d + 2*d, -d + 70 = 5*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 10, 3, 6384?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 59.63. Let z = -0.03 - i. Let v = z - -0.6. Which is the nearest to -0.1? (a) -2 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 4:19 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n = 0. Suppose 3*m + y + 32 = 4, n = -m + 5*y - 36. Let w(d) = d**2 + 12*d + 13. Let q be w(m). Solve 0 = -q*v - 0*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 7643?\nAnswer: -3057.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -94c (base 14) to base 2\nAnswer: -11100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*l - u + 207, 5*u - 83 - 71 = -4*l for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c = 5*q - 30, 0 = 4*q + 4*c - 16. Suppose q*t = 13 + 32. What is the lowest common multiple of 5 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*g + g + 15 = 0, 6 = -2*w - 74800*g + 74804*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 3*k. Let m(y) = 3*y**2 - 5*y. Let v(g) = 10*d(g) - 6*m(g). Let j(w) = 28*w**2. What is j(v(p))?\nAnswer: 112*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 15*z + 6*z**3 - 13*z**2 + 7*z**3 + 34*z**2 + 3.\nAnswer: 3*(z + 1)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 356*s**3 + 9*s - 19. List the prime factors of k(2).\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 26, -12, 4, -133, 2 in decreasing order.\nAnswer: 26, 4, 2, -11, -12, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*y = -10, s = -s + 3*y + 15. Suppose -5*p - i - 14 = s, p - i + 7 = -p. Put 4, p, -1 in decreasing order.\nAnswer: 4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/(-276))\/((-800)\/(-1140)). Let c = 1\/115 - m. Calculate the common denominator of 49\/10 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.82 + 14.92. Put -2, -25\/9, -0.3, q in decreasing order.\nAnswer: -0.3, q, -2, -25\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g - 1. Let v be 15\/(-9)*-3 - 3. Let j be -3 + 8 + -5 + v. Let s(c) = -4*c**2 + 3. Determine j*b(z) + s(z).\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, 7, 10 in descending order.\nAnswer: 122, 10, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Let a(c) = c**3 + 7*c**2 - 8*c + 3. Let r be a(-8). Suppose -10*y**r + 4*y**2 - 5*y + y + v*y = 0. Calculate y.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/5803 + -342215\/156681. Calculate the common denominator of x and -16\/153.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**3 - 27*w**2 + 6*w - 79. List the prime factors of u(-12).\nAnswer: 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 1. Let r = 1 - -4. Suppose -b = -2*b + r. Calculate k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 + f**3 - 8 + 0*f - 4*f + 0*f**2. Let a be b(6). Let y = a - 122\/3. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*n**3 + 143*n**3 - 37*n**3.\nAnswer: 37*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 75*v**2 + 72*v**2 - v + 1828*v**3 - 1957*v**3 as g*v**2 + l*v**3 + y*v + a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + 5*z - 4*z, 0 = -5*z + 25. Solve 2*u - g*u = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 24*t - 1155 = 0. Is -18454*(-11)\/(154\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(3 - 0))\/(3 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/3 - 464*z = 0. What is z?\nAnswer: 0, 1392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -320 - -292 - (-4 - -2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -18, -44, -90, -162?\n\"Answer: -w**3 - w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 13*p**5\/60 + p**4\/24 + p**3\/6 - 8*p**2. Give z(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/9*l - 2\/9*l**2 - 338\/9.\nAnswer: -2*(l + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 5*d + d + 12*d - 18*d - 33525 + 33508.\nAnswer: 2*d**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffefefefffffffffe. Give prob of picking 4 e.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwaaaaaaaaw. Give prob of picking 1 w and 3 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16260493*j**2 - 7971449 wrt j.\nAnswer: 32520986*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*a - 27 + 27)*((-6 - 1 + 4)*(a + 3*a - 5*a) - 4 - a + 4 - 4*a + 0*a + 5*a + 2*a + 5*a + 4*a) in the form q*a**2 + d*a + c and give q.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 2. Let n be q(6). Let z(o) = 0*o + n*o - 3*o + 5. Let k be z(4). Solve k = -2*m - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -166797224 from 413.\nAnswer: 166797637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, -9, 2\/9, -17\/4.\nAnswer: -13, -9, -17\/4, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 13 - 13)*(-t - t + 4*t) - 2*t**4 + t**4 + 0*t**4.\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.6 - -11.6. What is the closest to 0 in z, -5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p - 103. Give h(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 - 5*r**4\/2 - 33*r**3\/2 - 49*r**2\/2 - 29*r\/2 - 3 = 0. What is r?\nAnswer: -1, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let u be (-4 - -2)\/((-8)\/4) + 1773\/(-1379). Which is the nearest to u? (a) v (b) 2\/27 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4695.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**2 - 1. Let z(j) = -3*j**2. Suppose 5*d + 7 = 4*a - 53, 0 = -4*d - 3*a - 17. Give d*z(s) + 3*f(s).\nAnswer: -3*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, 11, -5, -137, -2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d + 1d?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1968, 2\/3, 0, 4\/5, -1, 0.1 in increasing order.\nAnswer: -1, 0, 0.1, 2\/3, 4\/5, 1968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 4*n**2 - 2*n**4 - 2*n**3 - 2*n**4 + 2*n**3 + (6*n**3 - 3*n**3 - 2*n**3)*(4 + n - 4) + (7*n**2 - 2*n**2 + n**2)*(3*n**2 + n**2 - 3*n**2).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222103 - -120130?\nAnswer: 1002233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17288, -17443, -17586, -17711, -17812, -17883, -17918, -17911?\n\"Answer: l**3 - 162*l - 17127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1095, 1090, 1085?\n\"Answer: -5*b + 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284804341 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 4. Let r(y) = 1. Let k(g) = -4*r(g) + 2*z(g). Let d be k(3). Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -14 - (1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6854\/3 + (-5)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i + (3*i + 3*i - 5*i)*(3 - 17 - 4))*(-i + 4*i + i) + 2*i - 2*i - 3*i**2.\nAnswer: -83*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2197513576 to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 111*n**2 + 20*n - 51. Does 18 divide b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5775 and 296175.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Let o be c(-6). Let b be o\/(-2 + -2) - -7. Suppose 5 = 3*w + j, 3 = 5*w + b*j - j. Calculate the smallest common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -347, -346, -345, -344, -343?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392.6 less than -4?\nAnswer: -3396.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqt when four letters picked without replacement from {t: 8, q: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -303512220 divided by -748\nAnswer: 405765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44074316*j + 34512051?\nAnswer: -44074316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**3 - 124*a**2 - 400*a - 272 = 0.\nAnswer: -2, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 61 - (-3 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684107055 and 1035?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 9 = -141. Let n = -13 + 23. Calculate the greatest common divisor of t and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 21*n - 114. What is x(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - 0.35. Let p = 6 + -6. Let c = p - b. What is the smallest value in c, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -51 - -48 - (-2 + 1 + -5 + 1). Factor 0 - 4\/3*a - 2\/3*a**f.\nAnswer: -2*a*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.013 + -1.603. Let t = u - -1.7. Let i = 0.11000056 - t. What is i rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i + 25 = 0. Solve -2*h - i*u + 1 = -15, 0 = -h - 3*u + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 30*i**2 - 33*i - 88. Let c be x(-29). Solve 0 = 79*t - 93*t + c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1 + 2)\/1. Let a(n) = d + 2 + 4 - 6. Let l(c) = 2*c + 10. Determine -10*a(s) + l(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14201111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*b = 24, -5*a + 4*a + 4*b = 0. Sort -1, 29, 5, a in decreasing order.\nAnswer: 29, 5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87106.68 millilitres?\nAnswer: 87.10668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149\/55 - 32\/11. Let r = 0.11 - 0.61. Put s, 0.1, -4, r in increasing order.\nAnswer: -4, r, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**5\/210 - f**4\/84 + 3*f**2\/2 - 3*f. Let g(x) be the first derivative of t(x). Factor g(r).\nAnswer: 2*r*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/40)\/(1\/(-1218)). Let y = 2443\/8 - t. What is the common denominator of y and 81\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-1)\/3)\/(((-400)\/(-30))\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*h**3 + 48*h**3 + 52*h**3 + 4*h - 159*h**3 - 4*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/6 + 588\/10. Let j = 111\/2 - a. What is the common denominator of j and -73\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Suppose w = -3*q - v, 2*w + 0*w - q = 11. Let f = w + 2. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 100010010110000?\nAnswer: 100010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1dbd?\nAnswer: -1dba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*r - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -45603600 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 203380 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b. Suppose b = -3*d - 4*x + 217, -4*d = -x - 48 - 235. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -4.8. Let k = -232\/5 - -46. Let n = -1.0563 + 0.0563. Which is the nearest to n? (a) q (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1223 divided by -2.\nAnswer: 1223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.66, -0.1, -1289.\nAnswer: -1289, -6.66, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (2 - 37)) + 0 + -13.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, 1 j, and 1 c when four letters picked without replacement from {m: 2, c: 1, r: 7, j: 3, t: 3, i: 1}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 76774 = 5*m, 6*m - 80*t = -79*t + 92134. What is the lowest common multiple of 4 and m?\nAnswer: 15356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:05 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (25*76\/(-95) + -5)\/(2 - 3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 49*p + 43. Give u(-26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 186?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h - 9. Let v = 5 - h. List the prime factors of (-13)\/v*2\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:02 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -58*i. Let c(j) = -3*j. Determine c(a(s)).\nAnswer: 174*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -41 + (33 - (4 - -2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - 0) + -2 + 38?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31100849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0 + 0)*(3 - 7 + 3).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6581164 grams in nanograms?\nAnswer: 658116400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -5*o**4\/4 + 565*o**3\/3 + 886. Factor s(r).\nAnswer: -5*r**2*(r - 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**6\/12 + 3*g**5\/5 - 3*g**4\/8 - 5*g**3\/3 - 1177. Suppose n(t) = 0. Calculate t.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o**(5\/4)\/o*o)*(o*o**1)**(3\/7))**(-8\/3) assuming o is positive.\nAnswer: o**(-146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 52*l**2 + 100*l + 12. Calculate the smallest common multiple of t(50) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4440*n - 4440*n + 1 - 93*n**2)*(-7*n + 3*n - 3*n).\nAnswer: 651*n**3 - 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - d**5 + d**5 + (18 + 16 - 16)*(0*d**5 + 2*d**5 - 4*d**5).\nAnswer: -37*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*n**2 + 142403*n + 26168049 wrt n?\nAnswer: -72*n + 142403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6214715 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - 3\/6. Suppose -5 = 5*v, -5*v - 9 = 6*s - 4*s. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*p = 6*d - 250, -d - 5*p = -38. Suppose 8*t - 187 = d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12)*2 + (-2157)\/(-6). Suppose -612 = -12*b + g. Let d = 135 - b. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 926, 2255, 4170, 6677?\nAnswer: 9782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 32*l. Let c(k) be the second derivative of -k**4\/4 - 1008*k. What is f(c(o))?\nAnswer: -18*o**4 - 96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/(76\/16)*1\/2. Let x(q) = 127 - 2*q - 124 + 3*q. Let r(h) be the second derivative of -h**4\/12 + h**2\/2 - h. Calculate w*r(c) - x(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1820*h. Let s(v) = 10*v + 6*v - 7*v - 7*v. Calculate y(s(c)).\nAnswer: 3640*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/7 - 5*r**2\/7 + 46*r\/7 - 40\/7 = 0.\nAnswer: -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 3008*c - 3012.\nAnswer: 4*(c - 753)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Let k(b) = -11*b + 10. Let t(o) = -k(o) + 6*p(o). Let a be t(7). What is the highest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136900 less than -0.09?\nAnswer: -3136900.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576816 and 135339.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 13 - 13. Let a be 14\/10 - 6\/15. Let i be (-2 + 5 + -2)\/a. What is q(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1153607 and 3822?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10848 or -43395\/4?\nAnswer: -10848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 16178?\nAnswer: 1617.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -1.136 (c) -2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/3 - 30978*q**4 - 1115392*q**3\/3 - 1611208*q**2 - 8923840*q\/3 - 1983104 = 0. Calculate q.\nAnswer: -4, -2, 46479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.093372 rounded to two dps?\nAnswer: -437.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 11128*m**3 + 887*m + 890*m - 2666*m + 889*m + (0 + 0 + m**3)*(3 - 3 - 1) as d*m**3 + h*m**2 + w + r*m and give d.\nAnswer: 11127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*r = -5, -3*r - r = -8. Solve -7*o - 16 = -a*o, 3*o + 12 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/30 + 15\/25. Suppose 986 = 6*c - 5*c - 2*g, c - 4*g - 990 = o. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -2. Let a be 60\/14 + c\/42. Let l = a + -5. Is l equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (54\/(-12) + 3)*2. Is 7 a factor of 213 + 8\/k*12\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/(-4))*1. Suppose -5*a = 2*h - 1, 3*a - 9 = v*h + 2. What is the nearest to -2\/9 in 3, a, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-346)\/(-4))\/((-1)\/(-2)). Let d = m - 869\/5. What is the common denominator of 33\/(-4) - (-84)\/(-14) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r + 3*h = -65*r - 83, 3*r + 4*h - 81 = 0. Let v(d) = d**3 - 25*d**2 + 42*d + 102. Let u be v(r). Solve -2*b = -l - 11, b - u = 3*l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - r. Let u(c) be the third derivative of c**6\/60 + c**5\/12 + c**4\/4 - 2*c**3\/3 - 45*c**2. Give 5*f(i) + u(i).\nAnswer: 2*i**3 + i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = k - c, -2*c = 2*c - 8. Suppose -8 = 3*s - 5*s. Suppose 2*g = 5*o - 10 + 38, s*g - 5*o = 56. What is the lowest common multiple of g and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645*y - 70*y**2 + 645*y.\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8 + (85\/20 - 5). Factor h - 2\/3*z**2 - 2\/3*z.\nAnswer: -2*z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 11*l**2 + 12*l - 9. Suppose -52 = -4*m + 2*k, 2*k = 5*k - 12. Suppose -20 = -5*j + m. Suppose 31 - j = -2*u. Calculate y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14788, -29581, -44374, -59167, -73960, -88753?\n\"Answer: -14793*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*j - 663 - 1721 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 2*x**2 - 5 - 2*x**2 + 2*x - x. Is 21 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102628885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 172*(15\/(-12))\/(-1). Suppose 0 = -0*b + 5*b - q. Let z(g) = -2*g**2 - 18*g + 12. What is the remainder when b is divided by z(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 1983069.\nAnswer: 7932276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/((r*r**(-3)\/r)\/r)*r)))**(-1\/41) assuming r is positive.\nAnswer: r**(-6\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5734*s - 3373 - 1568 = -11401*s + 5748*s for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4074 divided by 15?\nAnswer: -1358\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 2*f + 5. Let m be x(2). Suppose 2*u - 6 = 0, -h - 3*u + 0*u = -m. Solve -5*w + h*v - v - 20 = 0, 5*w - v + 30 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**5 - 5077962*m**3 + 12914496*m + 2 wrt m?\nAnswer: -60*m**3 - 30467772*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*u**2 - 70998*u - 2382290 wrt u.\nAnswer: 16*u - 70998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 26. What is the lowest common multiple of g and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85712 or -85711?\nAnswer: -85711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76) + -6*sqrt(76)))\/(-4*sqrt(196) + sqrt(196)).\nAnswer: 10*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2002031 + -2?\nAnswer: 2002026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/115 and 63\/1056085?\nAnswer: 24289955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1884833 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 116372 plus -0.056227231?\nAnswer: 116371.943772769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v. Let j(n) = 3*n**2 + 10. Let t(h) = j(h) - 4*k(h). Suppose 14 + 18 = -4*m. Determine t(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1635 = -7*d. Let r = -3144 + 4678. Let p = d + r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -6*g + 58. Calculate the greatest common divisor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2\/125, 1135, 87\/2?\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 11. Determine h(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -166846 divided by -65\nAnswer: 166846\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 69362*a + 2 + 69366*a - 138723*a. Let n(d) = 1 - 4*d - 6 - 5*d. Determine -2*n(p) - 5*y(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2*1)\/(sqrt(384) + sqrt(384)*-2).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2444555 (base 6) to base 14\nAnswer: 358a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express 479 - 2*k**2 - 419 - 2*k - 7*k**3 - 37 + k**4 as p*k**3 + i*k**4 + l*k**2 + a*k + g and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8577474 divided by -3?\nAnswer: -2859158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -110*x**2. Let g(v) = -393*v**2. Calculate i(g(r)).\nAnswer: -16989390*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t + 10 + 8*t - 8*t wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65\/15 - (-4)\/6. Suppose 5*a + p*q = 35, q + 0*q - 16 = -4*a. Suppose a*y - 21 = -3*t, 0 = 3*t + 3*y - 2*y - 13. Sort -3, t, -1 in descending order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emnmmemmemeeeemmmeem. Give prob of picking 2 m, 1 n, and 1 e.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 126*n**2 - 69*n. Give z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2.06. Let z = n + 0.36. Put 0.1, z, 1\/3 in descending order.\nAnswer: z, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13563 at most as big as -37167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*c*i**5 + 3*c*i**3 + 57*c*i**2 - 2*c*i - 176*i - 6 wrt i?\nAnswer: 340*c*i**3 + 18*c*i + 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4798122661 rounded to five dps?\nAnswer: 0.47981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + 4*h**2)*(-h**2 - 2*h**2 + 2*h**2) + 2*h**4 - 4*h**4 + h**4 + 1777*h**4 - 1779*h**4 + 325 + 320.\nAnswer: -5*h**4 + 645","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 4*i - 1. Let t(g) = 1027*g**2 + 12*g + 3. What is 3*b(v) + t(v)?\nAnswer: 1021*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = -31*q - 4*u + 23, u = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 590, 73, -44 in decreasing order.\nAnswer: 590, 73, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (970 + 89 - (3 + 0)) + -7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/30*5*(-6)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 52952.27ng?\nAnswer: 0.00000005295227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -6*i + 4*i. Let a = 3 + i. Let s = a + 12. Sort 1, -1, s in decreasing order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.8 - -8.4. Let y = 8.5 + x. Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let v(q) be the second derivative of -3*q + 0*q**2 + 1\/4*q**4 + 0*q**3 + 0. What is i(v(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266850.20023 + 266853. Let u = 2.8 - c. What is u rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 24*l**2 + 64*l - 15. Let h be m(-8). Suppose 0 = -c - 2*i - 32, 3*c - i = 7*c + 93. Let y = c + 6. Is h at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 772, 1460, 2348, 3436, 4724?\nAnswer: 6212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124234 (base 5) in base 4?\nAnswer: 30221223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19532, -39044, -58536, -78008?\n\"Answer: 10*s**2 - 19542*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 75 - (-2)\/(-5)*5. Suppose -68*j + m*j - 180 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r**2 - r - 7*r**2 - 10 + 16*r**2 + 3*r. Does 9 divide y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 + 38*m**2 + 19*m + 27. Let y be w(-12). What is the highest common divisor of y and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86\/9, -51, 2\/3, 3, 0.5 in descending order.\nAnswer: 3, 2\/3, 0.5, -86\/9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - a244?\nAnswer: -a243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-76))\/((-2)\/18*4590\/3060)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -10.3\nAnswer: 175.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x)\/x**(-4\/13)*(x*(x**(2\/23)*x)\/x)\/(x*x*x**14) assuming x is positive.\nAnswer: x**(-5862\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 297 + -298. Let p = 0 - -0.1. What is the nearest to o in p, 3\/10, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d. Let t(f) = 5*f - 2. Let s be t(3). Let k = s - 8. Let b(v) = -v + 5. Let q(m) = -m + 4. Let z(i) = k*q(i) - 4*b(i). What is w(z(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((-132)\/(-792)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134422, 134396, 134334, 134218, 134030, 133752, 133366, 132854?\nAnswer: 132198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-42) - ((-128)\/(-224))\/((-4)\/(-809)).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*z - 43*i**3 + 2*i**2 - 3*i - 4*z**3 + 9229*z - 1896 wrt z.\nAnswer: -i**3 - 12*z**2 + 9229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**2 - 13061*x - 39167. What is h(-3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1.84, 0.5, 2 in ascending order.\nAnswer: -0.3, 0.5, 1.84, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 22548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-6) - 14\/(-21). Let u = 3.99 + 0.01. Let n = -1 + u. What is the closest to 1\/3 in 2\/11, a, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 22*m**3\/3 - 38. Let x(k) = -1. Let a(h) = -2*h**2 + 8. Let u(i) = -a(i) - 8*x(i). Determine u(q(o)).\nAnswer: 968*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/957*(-2)\/4.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:23 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 912\/95137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + 6*i**2 - 21*i. Let f be t(7). What is the hundreds digit of -3*f\/(4 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/(-44))\/(2\/8). Suppose l*y - 38 = 2*m, -4*m - 2 = 2*y - 6. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 500. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11196\/653 or 17?\nAnswer: 11196\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129183 is divided by 4332.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqrvvh. Give prob of picking 1 v and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24498.132 - -24447. Let r = c + 51. What is r rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 44*a + 110. Let d be ((-56)\/6 - -3)*6. What is the hundreds digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.4 (c) -26\/133 (d) -3\/8 (e) 0.5 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 114 = 3*t, t - 4*r + 116 = -2*t. Let q be (-24)\/t - 48782\/30. Let a = -1613 - q. What is the common denominator of a and 5\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/3)\/(r\/r**(4\/5)*r)*(r\/(r\/(r**(2\/11)\/r))*r)\/r*r\/(r**(1\/4)*r) assuming r is positive.\nAnswer: r**(-1277\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 175, 5, 0, 18 in ascending order.\nAnswer: 0, 5, 18, 79, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.1. Let d = 26 + -21. Let k = -10 + d. Which is the third smallest value? (a) 0.4 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 633*a + 3776. What is p(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o - 40. Let b = 6 - 2. Let j be 1 - (23 - b - 1). What is the tens digit of i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 + -100133?\nAnswer: -33201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {a: 1, q: 1, i: 2, l: 1, r: 8, h: 7}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 84*r**2 - 163*r + 364. Calculate v(82).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17190, 17040, 16890, 16740, 16590?\nAnswer: 16440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - 12. Suppose y = 2*q + 2*q. Suppose -20 = -6*a + 2*a. Solve -q = -a*d + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.004 - -0.071. What is d rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 - 8*d + 6. Let g(u) = 7*u**2 - 7*u + 5. Determine 6*g(n) - 5*z(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -5 - -9 - (-2 + -6)) + -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*d**3*t*z + 10*d**2*t**3 - 47*d**2*z - 255*d*t**3*z - 4*d*t*z + t**3 + 6*z wrt d?\nAnswer: 972*d*t*z + 20*t**3 - 94*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Suppose 3*o - 5*k + 18 = 84, -t*o = -k - 132. Solve -4*b + 20 = 0, -v - v - o = -5*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39830848 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.96 + 0.911. What is m rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 12*n - 16. Let g(a) = -2*a. Let i(b) = -12*g(b) + 4*k(b). Let i(j) = 0. What is j?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -5 (c) 0.3 (d) 0 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492511 by 41.\nAnswer: -492511\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 5*b + 2. Let w be z(-5). Suppose -2*p + p = -w. Suppose 0 = 4*j - x - 0*x + 1, -2*x = -4*j - 6. What is the remainder when p is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulm when three letters picked without replacement from mmulmll.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 408*j**2 + 812*j + 331281. Determine z(-408).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797 + 127 = -44*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/(-444)*1\/(-1)*(71 - (3 + -4))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = -2*z, -10 - 14 = 4*z - 2*a. Let h be (1 + 0 + 0)\/((-398)\/1592). Sort z, 4, h, -12 in decreasing order.\nAnswer: 4, h, z, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40*(-3)\/(-330))\/((-14)\/539)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - y + 2*y - 7 = 0, u + 1 = -3*y. Which is the nearest to 5? (a) 0.2 (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1583999 divided by 68.\nAnswer: -1583999\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4521327?\nAnswer: 9042654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (30 - (-25 + -2 + 4))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1546*x - 12 = 5*m + 1549*x, -3*m = -3*x - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1514*f + 13. Let n be q(13). Suppose -6*m = -3*m - n. Suppose -5*j - m - 9435 = 0. What is j rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1*sqrt(99) - sqrt(99))\/sqrt(9) + -3*sqrt(11)*2.\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16845949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 8 = 5*y, 0 = 5*x - 196*y + 192*y + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 8, f: 2, a: 3, p: 2, s: 2}. What is prob of picking 1 c and 2 f?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16252.81m in millimeters?\nAnswer: 16252810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let z be 6 - ((-5 - (0 - 6)) + 1)*2. Let t(h) be the second derivative of 0*h**z + 1\/6*h**4 - 13*h + 0*h**3 + 0. What is r(t(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2. Suppose 2*z = -2*z. Let a be k(z). Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g. Let t(j) = 583377*j. What is t(v(m))?\nAnswer: -7000524*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -42, 159089, -1 in descending order.\nAnswer: 159089, 7, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 - -0.3. Let y = m + -0.34. Let u = -45.6 - -43.6. Which is the closest to u? (a) -4 (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + (-1936)\/33 + 7)*-540. Calculate the highest common divisor of 180 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/(-20) + 12011985\/(-12). Round s to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose -3*j = -o*p - 15704, -48306 + 9036 = 5*p - 5*j. Let m = p + -1402142. Round m to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3486412 is divided by 514?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 521933\/12 - 42969. Let f = v - 526. Calculate the common denominator of ((-9)\/(-45))\/(6\/(-1065)) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -1ff5?\nAnswer: -1fee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.0382 - -0.0382. Let v = -40 - -14. Let k = j - v. Sort k, -3, 2\/3 in decreasing order.\nAnswer: k, 2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (1 + 1)) + 0. Differentiate 2*c + u - 5 + 9 + 0*c with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*w - 16. Solve -w*o = -0 - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328054 is divided by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2807 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 18*l. Solve 5*j + l = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -444464773916\/1238974737 + 80\/5363527. Let y = i - -557\/33. Let a = -52989\/154 - y. Find the common denominator of 139\/18 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4024 (b) -5\/18 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22752 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose f*c = -5*c + 10. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10909720*k**2 - 10909147*k**2 + 21818864*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -59749*p. Let w(a) = -5*a. Calculate m(w(u)).\nAnswer: 298745*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 3 - -31) + -1. Suppose h - b = -8. Calculate the smallest common multiple of 22 and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-23)*q*q**13)**(-7) assuming q is positive.\nAnswer: q**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 164079946 to the power of 1\/2, to the nearest integer?\nAnswer: 12809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 810239083 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 2*d**2 + 25*d - 11. List the prime factors of b(-19).\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2493975.\nAnswer: 3, 5, 11, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*s - 156*s - 216*s as x*s + z and give x.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let f be i(0). Suppose -2*z = -3*g - f*g, 5*g + z = -13. Let t = 0.05 - 5.05. Which is the biggest value? (a) g (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -131 and -133 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (16 - 35) - (1 - -2) - -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21305852 by 5326463.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010115 rounded to 6 decimal places?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90747167 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 plus 0.04838?\nAnswer: 0.21838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 20 = 7*d, 3*m - 4*d + 25 = 0. Let t(f) = f + 3. Let w be t(m). Let p be (-896)\/2992 - (-2)\/11. Is p less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 737499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253*-2.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.2 - 19. Let q = x + -2.2. What is the closest to -1 in -2, q, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*n = 87 + 305, -n = 4*u - 762. What are the prime factors of u?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 440266.27\nAnswer: -440268.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/(-6435)*21 - 41\/(-451).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3872*b**3\/9 + 978032*b**2\/9 + 12755938*b\/9 + 42733678\/9 = 0.\nAnswer: -239, -299\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - 4*(sqrt(136) + sqrt(136)*2 + sqrt(136)) - 5*sqrt(136)*3)\/(sqrt(968)*-3 + (sqrt(72)*-3 + sqrt(72) - sqrt(72))).\nAnswer: 5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 13*u - 12*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(4 + (-36)\/8). Let b be (t + 5 - 1)\/(0 + 1). Let d be 0\/(-5)*2\/b. Solve d = -4*m + 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 8. Suppose -2*c - 2 = -4, -2*q - 3*c + t = 0. Suppose -2*r + q + 5 = 0. Solve 0 = -r*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-945)\/180)\/((-18)\/8 - -2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -13*o**2 - 2526. Let r(v) = -66*v - 2. What is r(m(d))?\nAnswer: 1716*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8778, 17522, 26254, 34968, 43658?\n\"Answer: -o**3 + 8751*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55643074 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 7097006 - 7097006 - 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q + 3473 = s, 4*s = 4. Suppose q = i - 803. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 + 207831205*a - 207831200 = 0.\nAnswer: 1, 41566240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 9*z**2 + z + 6. Suppose 6 + 3 = -3*s. Let w(l) be the first derivative of -l**4\/4 - l**3 - 9*l - 649. Let c be w(s). Determine t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32052.000016213 - -32052. Round h to seven decimal places.\nAnswer: -0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311260000 rounded to the nearest 1000000?\nAnswer: 311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w - 11. Let p(l) = 17*l - 193. Let i be p(12). Calculate the highest common factor of w and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1321642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 15*o**2 + 17*o - 253. Let p be z(15). Sort 0.33, p, -5.\nAnswer: -5, 0.33, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(44)\/sqrt(4))**2 + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/90 + (-1750)\/18. Let d = n - -115. Solve 2*h + 2*h + 5*z = -d, -5*h - 8 = -z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y + 19*y - 1798264 = -67*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**4 + 34475*a**3 + 996690*a**2 + 7690900*a + 6728680 = 0. Calculate a.\nAnswer: -6866, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016, 1017, 1018, 1019?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*d**4 + 2*a*d**3 - a*d - 782*d**4 + 6*d**2 + 12*d - 21 wrt d?\nAnswer: -48*a*d + 12*a - 18768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260156, -260158, -260160, -260162, -260164?\nAnswer: -260166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -113*s + 893. Give p(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -788352408 divided by 8.\nAnswer: -98544051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*y + 9, 5*y - 2 = -4*k - 10. Factor 7*n**2 - 108*n - 81 - 23*n**2 - 5*n**k - 38*n**2 - 7*n**3 - n**4.\nAnswer: -(n + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 5\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -514618371.63 + 514618390.9199993528. Let s = 19.29 - b. Round s to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*5\/(-6)*3. Suppose 7*k - k + 138 = 0. Let q = k - -19. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 5*h + 1190 = 0. Let o = 308 + h. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24672738 and -7.\nAnswer: 24672731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1186778, -2373549, -3560320, -4747091?\nAnswer: -5933862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12972844 divided by 5.\nAnswer: -12972844\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 6*k + 6. Let t = 3 - k. Which is the third biggest value? (a) 2 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.8 and -2?\nAnswer: 119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-7))\/j*j*j*j**(2\/7)\/j*j**(-10)\/j*j**(-3))**(-2\/37) assuming j is positive.\nAnswer: j**(66\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 2. Let n(o) = o + 2. Let d(h) = -2*i(h) + 3*n(h). Calculate d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 4*a + a + 9, -5*a = -5*s + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 6 + -2 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkvqkqv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109892263199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 + 120. Let f(m) = 2*m**3 + m**2 - m + 93. Let p be f(n). Let y be p\/19 - 10\/(-95). Solve -w = -5*q - 15, -q + 0*q = y*w + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.227722 at least as big as -3.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.068 + -2.068. Let k = 86 - 85.5. Which is the second biggest value? (a) q (b) k (c) -5\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*v + 13. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let d = -72 - -75. What is the smallest value in d, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 2.34.\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**14*d*d*d*d**(-4\/5)*d*d*(d\/((d*d**(-2\/11))\/d))**(3\/32) assuming d is positive.\nAnswer: d**(32227\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12565*h**3 + 19*h**2 + 4143665?\nAnswer: 37695*h**2 + 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.020089 * -0.14.\nAnswer: 0.00281246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5\/(-3))*20\/(-16)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467574479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 9*q**2 + 3*q + 9. Let x = 137 + -132. Let b be v(x). Do b and 1\/48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 - 37. What is the highest common divisor of b and 1843?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, w: 6, a: 1, x: 3, p: 4, z: 2}. Give prob of sequence pza.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (12 - 1) + -5 + 4 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158009.85 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 10:22 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 4*h + 356. Give x(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 4*l + 3. Let v be w(-2). Let z be ((-276)\/(-24955))\/(30\/(-105)). Is v smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.55, 7809, 1 in increasing order.\nAnswer: 1, 6.55, 7809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 6, 10 in decreasing order.\nAnswer: 10, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = -2*b - 6, b = -3*t + 8. Calculate the remainder when 244 is divided by 13\/3 + t\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-1 + 0)\/(-1). Let k(c) be the third derivative of 11*c**5\/20 + c**4\/12 - c**3\/6 - c**2 + 4*c. What is the tens digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7474 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(475) - (3 + (sqrt(475) - (sqrt(475) - (sqrt(475) - 1*sqrt(475))))) - (1 + sqrt(475))*-6)**2 + -3)*2.\nAnswer: 420*sqrt(19) + 46566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63833, 68238, 72643, 77048, 81453, 85858?\nAnswer: 90263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2461, -2073, -1707, -1363, -1041?\n\"Answer: -11*z**2 + 421*z - 2871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (9 + -2)) + 17 + (18 - 39)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(3 - 3). Suppose -9 = 2*b + i - 4*i, x = -2*b - 4*i + 12. Suppose b = -4*g - 4*r + 80, -5*g + r + 76 = -0*g. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + -9)\/((-12)\/(-16)) - -3. What is the fourth smallest value in 0.18, -2, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d**2 + 36*d + 9. Let k be l(-3). Suppose -21*f + k*f = -2355. List the prime factors of f.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. What is the first derivative of -5*f**4 - 6*f**4 - 47 - 14*f**u + 24 wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01676249 + -0.0117628. Let l = -0.005 + w. Round l to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 11) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 3*o - 12*n - 256, 0 = -2*o + 2*n + 172. Suppose -1335*k = -1334*k - o. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.917 + 3.017. Let w = -12\/29 - -502\/1073. Is w at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 17 + -10 + 0 + 6 + 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose 2*y + 2 = 4*i - 4, -s*i + 7 = -y. Suppose -2*a + 27 = 3*r + 7, 0 = -5*r - 3*a + 35. Calculate the lowest common multiple of r and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -763 - -772. Suppose h*v - 12*v = -126. What is the highest common factor of 266 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 88, 140, 196, 256?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**2 + 15. Let m(d) = -22*d**2 - 36. Let a(c) = -12*i(c) - 5*m(c). Let h(b) = -2*b - b - 6 - 3. Give h(a(x)).\nAnswer: -6*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2 + 373*y**3 - 189*y**3 - 2*y + 2*y**2 - 183*y**3. Suppose 5*p = 3 - 18. Let h be z(p). Are -3\/7 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 + -123100?\nAnswer: -123330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y**3\/9 + 118*y**2\/3 + 412*y\/9 + 32\/3 = 0 for y.\nAnswer: -8, -1, -6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*a + 329 - 1234 = 749*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 17*g**3\/6 - 18*g**2 - 6*g + 10. Let o be d(3). Solve -4*w - 1 = -l + o, -2*w - l = 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 4}. What is prob of sequence yyy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*o + 121, o - 4*u + 2 = -2. Let b = o - -24. Solve 3*h = -5*s - 2, 4*s = 3*h - b*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*16\/1064)\/(4\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3 - g + 6 + (324 - 27 + 131)*(4*g - 2*g + 0*g) to i*g + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, 2, 3, 0 in increasing order.\nAnswer: -2, 0, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)\/x)\/(x**(1\/8)\/x)*(x*x**(-1))\/x*x**13 assuming x is positive.\nAnswer: x**(451\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5503407.\nAnswer: 3, 7, 13, 19, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1956095 - 3?\nAnswer: -1956098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 + 648*s - 219*s - 213*s - 216*s.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 + -4 + -1 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 - -343. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8740 (base 9) to base 4.\nAnswer: -1210203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 2*c**2 + c + 1. Let o(l) = 36*l**3 - 5*l**2 - 3*l - 7. Let b = -47 + 50. Let g(y) = b*v(y) + o(y). What is the first derivative of g(k) wrt k?\nAnswer: 117*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 12*l - 2*k + 12 = 14*l, -k + 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000068228 to six decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*b - 60. Let x(q) = -3*q**3 + 2*q**2 - 1. Let i be x(1). Put i, b, 3 in ascending order.\nAnswer: b, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67701204231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let q(a) = 3*a + 101. Let n be q(-6). Let c = u + n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.86 rounded to one dp?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 70.6. Put 3, 5, a, 2 in decreasing order.\nAnswer: 5, 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**3 + 10*c**2 + 10. Let v(r) be the third derivative of -r**6\/60 - r**5\/20 - r**3\/2 + 7*r**2. Give 3*t(q) + 10*v(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**3 - 2*w**2 - w. Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 319572 times -225?\nAnswer: -71903700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3\/3 + 38*o**2\/3 - 23*o - 36 = 0.\nAnswer: -1, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/6 - 3*v**2\/2 - v. Calculate the lowest common multiple of 14\/(-119) - (-11)\/((-1309)\/(-728)) and g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2892540 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 + 73608413177.\nAnswer: 73608413121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -23 + (-10200)\/(-476))*(-84)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(9 + 12 - 20)*(3*p**2 - 5*p**2 + 0*p**2).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15*d**3 + 2*d**2 - d + 2. Let x(o) = -o**3 + o**2 - o + 1. Give c(g) - 3*x(g).\nAnswer: 18*g**3 - g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 + 40*c + 70. What is z(10)?\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*k - 227*k - 327*k**3.\nAnswer: -327*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.56 in 0.02, -4, -10, -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -127 + -33 - -125.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*x - 15 = 79*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -723464, -1446901, -2170330, -2893751, -3617164, -4340569, -5063966?\nAnswer: -5787355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*m**(3\/2)*m)\/m*m*(m*(m**(1\/11)*m)\/m)\/m*m*m*(m\/(m**(1\/2)\/m))**14 assuming m is positive.\nAnswer: m**(607\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149 * -190.\nAnswer: -28310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millisecond in microseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**2. Let f(p) be the second derivative of 2*p**3\/3 + 5*p**2 - 111*p. Let u(h) = 6*h + 12. Let s(g) = 6*f(g) - 5*u(g). Determine z(s(y)).\nAnswer: 252*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2991179 or 0?\nAnswer: -2\/2991179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-18)\/(-48)*-6*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1084, 1 in ascending order.\nAnswer: 1, 3, 5, 1084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -395071, -395188, -395305, -395422, -395539?\n\"Answer: -117*n - 394954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 + h**2 - h - 2. Let r = -22955 - -22954. What is c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*j = 36, 4*c + 24 = 8*c + 2*j. Solve w = c - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -684, -5 in descending order.\nAnswer: 2, -1, -5, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + x**2 + 2*x**2)*(-11505*x**2 - 332*x + 650*x - 318*x).\nAnswer: -57525*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.01 (b) 21 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 15*p**3 + 7*p**3 + 5*p**3.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:04 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312261621 or 312261622?\nAnswer: 312261621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*h - 70 - 132 - 71 + 275.\nAnswer: 174*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -613*h**2 + 11*h - 394. Let p(u) = 306*u**2 - 6*u + 195. Let x(z) = 6*i(z) + 11*p(z). Differentiate x(v) wrt v.\nAnswer: -624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15515 and 47309440?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4 = x - 2, 10 = -3*x - 5*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00280787599 to five dps.\nAnswer: -0.00281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 569.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.075 - -0.1.\nAnswer: 1.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7688727, -30754867, -69198433, -123019425?\nAnswer: -192217843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*m + x, -5*m + 0*x + 26 = 3*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 75. Let g(y) = y**3 - 6*y**2 + y + 6. Let z be g(6). Let l = k - z. Calculate the remainder when 24 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3 - (10 + -2 + -2 - -3)) + 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 278662*m - 2515. Let d(f) = 443*f - 4. Determine 2515*d(u) - 4*n(u).\nAnswer: -503*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-3)\/9)\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (15 - (-12 + 30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 + -1.1. Let p = -6 - w. Sort 1\/2, -4, p in descending order.\nAnswer: 1\/2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50993719, 101987436, 152981153?\n\"Answer: 50993717*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*x + 5*x + 0*x)*(523 - 1091 - 5*x + 543) to the form r*x + b + g*x**2 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 14) in base 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-556)\/(-760) - (-4)\/10. Let m = g + -2363\/342. Find the common denominator of m and -57\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*v - 3120 = 0, -3*v - v - 2102 = -2*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3)\/g)\/g*g**(-8)*((g\/(g*g*g**(-11)))\/g)\/((g*g**(-10)\/g)\/g))**(-1) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-285)\/(-570))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 8*v - 5. What are the prime factors of h(11)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 36*t**2 + 2*t. Let k(f) = -37*f**2 - 3*f. Suppose -2*l + 3 = 2 - 5. Determine l*i(c) + 2*k(c).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (116715156\/(-36))\/((-1)\/3). Let d = 3356263 - u. What is d rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 - 3*c + 8. Let y(f) = -f**2 + f + 1. Let s(a) = -u(a) - y(a). Determine s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 12.56142.\nAnswer: -12.96142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 2. What is the least common multiple of k(5) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z - 3. Let i(o) = -38 + o**2 + o + 46 - 25. Let d be i(-5). What is f(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220815 = -7*s - 28*s + 2*s - 221805 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278 - 277.6. Let z = -3.1 - -3. What is the biggest value in z, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2539*s**3 + 3*s**2 - 3*s + 9. Let f(v) = -7612*v**3 - 10*v**2 + 10*v - 30. What is -6*f(z) - 20*g(z)?\nAnswer: -5108*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {j: 4, i: 3, m: 1, z: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 1. What is k(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2.2, 0.3, -2\/3 in increasing order.\nAnswer: -2\/3, 2\/7, 0.3, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 107*b - 31. Let a be 22\/(-2)*(-7 + (11 - 5)). What is the tens digit of r(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 4*r - 7. Let q be (-1 + (-2)\/(-3))*-21 + -6. Let b(l) = -l**2 - l + 1. What is q*t(k) + 6*b(k)?\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, n: 1, u: 4, k: 1, e: 4, y: 3}. Give prob of sequence eunh.\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 3 + 2)*(3*q - 6*q - 5*q).\nAnswer: -696*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -23. Suppose -r - 4 = u*f, 4*f - 5 = 7. Let s = 16 + r. Calculate the highest common divisor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -22 - -9 - -36.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, d: 3, t: 4}. What is prob of sequence ddt?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -766841, -1533794, -2300747, -3067700, -3834653?\nAnswer: -4601606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 14)*(-8)\/20. Let o be (1 - 3)*(18\/(-4) + 3). Suppose -g - 31 = -l*g - m, -3*g + 33 = -o*m. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + p = -0*q + 49, 0 = 2*q + 5*p - 29. Let a be (-22)\/(-18) - q\/54. Is a < -1\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286.24 + -1684.76. Which is the third smallest value? (a) d (b) 3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3073798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - k. Let b be 7\/21 - (-2)\/k. Suppose 4*o = -b*o - 4080000. Round o to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(25*j**2 - 22*j**3 - 25*j**2) + (2*j**3 + 2*j**2 - 2*j**2)*(3 - 3 - 1).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 = -w + 5*j, -37*j + 112 = -73*w + 34*j - 76*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.3. Let t = 3018.04 + -3018.34. Put d, t, -32 in descending order.\nAnswer: d, t, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + t = 4*m - 11, t = -5*m + 5. Suppose c = 6*c + m*x - 26, 11 = -c + 5*x. Suppose d + d - u = 26, 0 = -2*d - c*u + 16. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgq when three letters picked without replacement from {q: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2721.6 + 0.6?\nAnswer: -2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100 + -1001110?\nAnswer: -10100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, j: 1, r: 2}. Give prob of picking 1 o and 1 r.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:58 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ksskslksksslkkk.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113453274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t - 92\/3*t**3 + 51*t**2 - 73. What is the second derivative of k(v) wrt v?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -3?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjwwlrwjhwwrw.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -36. Suppose -4 = -4*c - 4*l, -2*l - d = -16. Sort c, -0.2, -7 in decreasing order.\nAnswer: c, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 2*w**2 - 6*w + 3. Let g(i) = 4*i**2 + i - 7. Let d(b) = -4*b**2 - b + 6. Let u(k) = -6*d(k) - 5*g(k). Let s be u(1). Give a(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-38)\/(-228) - (-238)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55769 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 2246045625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -729.\nAnswer: 8\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r + 31 = d, -2*d + 5*r = -62. Solve 0 = -24*c + 127 - d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36e + 4?\nAnswer: -36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11199414.\nAnswer: 2, 3, 1866569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31274, -31271, -31268, -31265?\nAnswer: -31262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253 + -50. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 25*g**2 - 15*g - 18. Let z be l(-12). Let m(h) = -7 + 12 - 2 + h - z. Let d(j) = 2*j**2. Determine d(m(y)).\nAnswer: 2*y**2 - 60*y + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 1095*m**2 - 59166*m.\nAnswer: -m*(m + 57)*(m + 1038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.01 + 0.01. Let i = k + 5. Let g = -1186 - -1183. Put i, 0.1, g in decreasing order.\nAnswer: 0.1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 5:11 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j)\/((j*j\/(j**(-14)\/j)*j)\/j) assuming j is positive.\nAnswer: j**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4592 + 4592.002231. Round d to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 - 0.82. Sort 0.07, 5, d in ascending order.\nAnswer: d, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(45) - 2*sqrt(90)\/sqrt(2) - (sqrt(180)*2 + sqrt(180)))\/((1*sqrt(108)*4)\/sqrt(12)))**2 + 0.\nAnswer: -245\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 106*f**2 - 38*f + 6. Let d be s(-9). Suppose 20*j - d = 1306. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y + 310 = 3007 - 167 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49*x**3 + 45 - 45)*(-2 + 5 - 1) as v + d*x**2 + u*x + c*x**3 and give c.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1\/5, 0.5, 1.35712, -0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*l - 16, 0*l - 4 = -l + 3*v. Suppose 2*y - l*i = 198, 3*y - i - 2*i = 282. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33436598 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -93.8. Let z = -7.3 - w. Round z to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**3 - 2. Determine b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7077 + 7048.945. Let s = -27.953 + -0.047. Let a = m - s. Round a to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + 10. Let g be i(2). Let o(t) = -t**3 + 8*t**2 - 7*t + 10. Let j be o(7). Suppose 0 = 8*u - j + 2. Solve g*f = 3*f - u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3932, 4, -4, 2, -13 in decreasing order.\nAnswer: 3932, 26, 4, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = 0. Suppose -a = -u*a. Suppose -4*l + l - 147 = a. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-29)\/(-145)*20\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120428 and 9724.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -5*k - 36. Let c be (-4254)\/(-30) - (k\/5 - 0). Suppose u = -4*o - 0*u + c, -3*u = 9. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dbd696 - -41?\nAnswer: dbd6d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*x - 4*w, -x + w = -0*x + 5. Suppose -8*l - 3*l + 33 = x. Let 24*t**4 - 9\/4 - 9\/2*t**2 + 57\/4*t - 72*t**l = 0. Calculate t.\nAnswer: -1\/2, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4058.7606 rounded to 0 dps?\nAnswer: -4059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -6*v**4 + 2*v**2 + 4*v**3 - 6*v + 2*v**5 + 60 + 2*v**2 - 58 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 - 15*z + 6. What is the units digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 181*a**2 + 164*a + 513. Is 16 a factor of s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021540 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5555 + 5587. Solve -j + 5 = -2*m, d*j - 29*j - 2*m - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = -4*f, 2*f + 10 = f + 3*x. Suppose f*l - 3118 = -2*z + 2044, -z + 2587 = 4*l. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2425 divide 22848350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -1, 3, 5, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 - (-7)\/5. Is k\/(-5) + 423\/15 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a, 8*s + 3*a = 7*s + 9. Let y be s\/(12\/(-4)) + 4. Suppose -v = y*v - 20, -i - 2*v + 76 = 0. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/4*(-6)\/7. Solve -2*f - 1 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 16 + (53 - 84)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 + -226. Let w = o - -63.64. Let t = w + 1.99. What is t rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0*q**5 + 1\/10*q**6 + 5\/6*q**3 + 0*q**2 + 0*q**4 + 0 + 6*q. What is the second derivative of y(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.968 + -0.052. What is y rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**18\/d)\/(d*d**33*d*d))\/((d\/d**34)\/d**(-7\/9)))**(2\/17) assuming d is positive.\nAnswer: d**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5743705403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -29.5 + 1820547889\nAnswer: 1820547859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(245))**2 + ((sqrt(245) + 1*sqrt(245))*4 + sqrt(245))**2 - (sqrt(50)\/(-2*sqrt(10)) - (sqrt(45))**2*6).\nAnswer: sqrt(5)\/2 + 20361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/5*((-74)\/(-4) - (-48 - -64)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) + (18\/(-8) - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {p: 5, q: 6, w: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 2*v**5\/5 + 5*v**4\/2 + 2*v**3\/3 - 21*v**2 - 36*v - 22. Suppose y(w) = 0. Calculate w.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 284 + 183. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 3*d + d - 1)*(11 + 7 - 4).\nAnswer: -84*d - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (38 + 291)\/(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/11)\/((-22)\/(-121)). Is 13*(14 - (-1 + x)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9486 - 0.0514. What is the nearest to -9 in 4, j, -3, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:24 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from lrrrrl?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*r**3*v**3 + 190*r**3*v**2 - 3*r**3 - 5*r**2*v**3 + 26495*r**2*v**2 - r**2 + 2 wrt r.\nAnswer: 786*v**3 + 1140*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88276886 - -88276893.6999938. Let z = i - 7.7. Round z to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 6. Let j(x) = 56*x + 49. Let t(l) = 49*a(l) + 6*j(l). Let w(z) = -z. Calculate -t(v) - 2*w(v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 + v**2 + 56*v - 87. What is s(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 + (-8)\/(-12). Let t = 28 - 18. Let q = -8 + t. Which is the closest to -1? (a) q (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 8 = -i - 2*i, -4 = -i + 3*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/3109, 4519.\nAnswer: 3\/3109, 1, 4519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*v - 702 = 216*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*(-24)\/78*(-81)\/(-3456)*16\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -805*h**3 - 40. Let z(m) = -62*m**3 - 3. Determine 3*w(v) - 40*z(v).\nAnswer: 65*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g**2 + 32*g**3 + 61*g**2 - 23*g**2 + 10*g**3 + 27*g**3.\nAnswer: 69*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 28574*v**3 + v + 10793*v**3.\nAnswer: -17781*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/4))**(-20)*(z*z*z**(-5\/2))\/z**3)**(12\/13) assuming z is positive.\nAnswer: z**(-222\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*w - 12 = 0, 8*w - 9*w - 6 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/80 + 11\/80. Let s = -3 + 3. What is the nearest to -1 in 1\/2, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 25*d - 25*d - 3*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.258 - 4978452?\nAnswer: -4978452.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from {r: 3, v: 4, j: 3, k: 6, s: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -397 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4) + 9 - 33.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30666.3976 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/21 - (-78)\/9. Suppose -2*f - t = 0, 5*f + 14 = -4*m + 2*m. Find the second derivative of -4*c + 4*c + 2*c + 5*c**m + 0*c**3 wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/420 - 14*y**4\/3 + y**2 + 35. Let i(v) be the second derivative of p(v). Let r(q) = 4*q**2. Determine r(i(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(40))\/(sqrt(8)\/(sqrt(20)\/sqrt(5))) - (sqrt(120)\/sqrt(3))\/((sqrt(88)\/sqrt(4))\/sqrt(11))*2.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 12086130 and 12086129 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 775149543 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16765*30.\nAnswer: 5.0295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4\/7, -1, 100, -0.3.\nAnswer: -6, -1, -4\/7, -0.3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -800.9998798 - -801. What is i rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6138 and 1229778?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r**3 + 52*r**3 - 2037 + 124*r**3 - 239*r**3.\nAnswer: -2*r**3 - 2037","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 468.03181 and 8.\nAnswer: 3744.25448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 622709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 302*z - 306*z + 2*k, 4*z = k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5275 and 223470?\nAnswer: 235760850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 5, e: 1}. What is prob of picking 2 q and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 5*x - 682, -178 = y - 5*x. Let q be 24\/60 + (-32)\/5. Is (-2)\/q + y\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*o, 0*j = -j - 5*o - 16. Let p(y) = 4*y + 6. Let c(d) = -d. Let t(a) = 3*c(a) + p(a). Let k be t(7). Solve 1 - k = -j*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 432*u**4 - 1 + 4*u - 434*u**4 - 3*u**2 - u to p*u + h*u**2 + j + x*u**4 + t*u**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 4169.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -13*o**3\/2 + 5*o**2\/2 - 102*o. List the prime factors of a(-4).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydz when three letters picked without replacement from {d: 5, y: 3, q: 3, z: 1}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 - 2*y + 5*y**3 + 1 + 2 - y**2. Let x be b(4). Suppose g - 320 = -4*h - g, 3*h = g + x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/34609 and 47\/3233.\nAnswer: 2111149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + 9. What is the remainder when 40 is divided by (a\/(-3))\/(4\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99168 + 7891 = -910*h - 508*h + 43433 for h.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i - 549 + 485 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-3)\/(-3) + 2 + 7. Suppose -j*i = -0*i. Let b(g) = -4*g + 154. List the prime factors of b(i).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 19*z**2 + 14*z + 86. Let r be y(18). Calculate the highest common factor of r and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 9}. What is prob of sequence lyy?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/(3*4\/(-36)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 48\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4\/8 + p**3\/6 - p**2\/4 - 8*p. Factor t(b).\nAnswer: (b + 1)*(3*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayluybz. Give prob of picking 1 l and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -22, -7, 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.082\nAnswer: 0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from wwbb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/60 + 17*j**4\/8 + 25*j**3\/3 + 38*j**2 + 22*j. Determine f, given that z(f) = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 - 7*i - 8. Let f be d(-7). Suppose -5*v = -4*j - 106, v + 2*j - f = -3*v. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 12 - 0, d - 3*c - 1017 = 0. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.78 - -34.88. Let m = 30.592 - t. What is m rounded to 2 decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682872?\nAnswer: 2, 210359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -41. Let m = -17 - i. Suppose 3*b - 24 = -0*b. What is the greatest common divisor of b and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4360135\/53345348 + -104\/35947. Find the common denominator of r and 103\/44.\nAnswer: 16324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -94\/13 (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 - 3*q**2 - 5. Let u be 4\/6*4 - 90\/135. Determine a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1952*p**2. Let n(v) = 7*v**2. Determine n(j(t)).\nAnswer: 26672128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - i = -43, -1 = -2*j - 72*i + 77*i. Solve j*h + 36*h = -176 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 - -164. Solve -3*u - q = -4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -155*o**2 - 5265830*o - 509595 = 0?\nAnswer: -33973, -3\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 129522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554361 is divided by 554323?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4632 and 12?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73\/5 of a meter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13492263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**3\/2 + 69*d**2 - 187*d\/2 + 21.\nAnswer: (d - 1)*(d + 21)*(7*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -309857, -619712, -929567, -1239422, -1549277?\n\"Answer: -309855*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 4*y**2 - 29*y + 1981. Calculate m(13).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3343 - -3413. Put -2, 0, 3\/8, c in ascending order.\nAnswer: -2, 0, 3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmjjlmmuvuhv. Give prob of picking 1 l, 1 m, 1 h, and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -8*u**4 + 148028*u**3 + 1851464*u**2 + 2518132*u + 814704 = 0.\nAnswer: -11, -1, -1\/2, 18516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) + -1 + 1)**2) + (-3 + 4*sqrt(243))**2 + (-4 + (sqrt(243) - -3*sqrt(243))**2 - -4*(sqrt(243) + 3)))*5.\nAnswer: -855*sqrt(3) + 37750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 864 + 420. Suppose 4*f = 446 + 2. Let x = f - z. Solve x*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1312 and 31047824?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*n + 41841 - 182070, 9*k = -3*n + 315447. What are the prime factors of k?\nAnswer: 2, 3, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-x + 0*x - 2*x) + (52 - 204 - 269)*(-x - x + 0*x).\nAnswer: 836*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Let w(m) = 3 - 2*m + u - 2 + m. Let c be w(10). Let g(s) = -s**2 - 3*s. Determine g(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/(-39) + (-2)\/(-13). Solve u = -3*d + p, 5*d = 4*d - 4*p - 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f**2 - 2*f + 6. Let t be c(-6). What is the third derivative of -11*v**2 - t*v**2 - 10*v**5 + 5*v**2 wrt v?\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 10. Let z = 34.2 + -1.2. Let p = 32.97 - z. Sort l, 0.3, p in descending order.\nAnswer: 0.3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.815144l in millilitres?\nAnswer: 815.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2 and -87\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230 - 97281.\nAnswer: -97511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-24) + 1\/(-3). Suppose n - 4*o - 2 = -5*o, -7 = -5*n - 2*o. Let l be (-4)\/n - (-5 - -6). What is the second biggest value in -2\/7, l, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.114 + 0.12. Round w to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367ba (base 14) in base 8?\nAnswer: 2436540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29568 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47039419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -400040 plus 28834.6?\nAnswer: -371205.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**2 - 17*l**2 - 4*l**2 - 11*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1) + 14 + 3. Suppose -h + 24 = -4*r, -2*r = -h - 0 + v. Suppose b = -2*q - 0*q + 12, -3*b + 1 = q. What is the least common multiple of h and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50185.22 nanograms to milligrams.\nAnswer: 0.05018522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -120. What is the greatest common factor of y and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 33*h + 2. Let s(k) = 170*k + 1. Let v(i) = 172*i - 2. Let a(g) = 4*s(g) - 3*v(g). Determine -3*a(o) + 16*l(o).\nAnswer: 36*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let q(c) = c**3 + c**2 - 2*c + 2. Let s be q(-3). Let h = f - s. What is the remainder when 35 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14374533 is divided by 1211?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4462, 110, 2, -35 in decreasing order.\nAnswer: 110, 2, -1, -35, -4462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 + 34035\/15)\/((-4)\/(-30)) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.5. Let z = h + 0.1. Let f be (2\/6)\/(-8*5\/(-60)). Which is the closest to f? (a) 2\/13 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 62. Solve -u*r - 11 - 9 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/506460 and 13\/190473.\nAnswer: 87617580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 273 + 57 = 0. Suppose b = -r + 27. Let z(y) = 2*y**3 - 3*y**2 + 3*y - 3. Let i(l) = -6*l**3 + 8*l**2 - 8*l + 8. What is r*i(t) - 8*z(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6645.97 - -6646. Sort -0.3, -4.3, d.\nAnswer: -4.3, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -267?\nAnswer: 8\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-55)\/(-10) - 2\/4. Let p = u - 1. Suppose 0 = -4*z + p*s + 70 + 18, -3*z + s = -56. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 43. Determine o(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y - 3*h, -y + 5*y - 12 = 5*h. Suppose 2*w + 3*w = s, -y*w = 4*s. Solve s = -18*c + 20*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168992028?\nAnswer: 2, 3, 1564741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13*15\/6*2 - -4. Let a = s - 55. What is the smallest common multiple of a and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-24)\/(-15))\/((-188)\/1175) - (-1)\/(-4) and 2 + 31\/(-3) - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m - 19. Let a(h) = 3*h - 10. What is 9*a(v) - 4*n(v)?\nAnswer: 3*v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(15)\/sqrt(5) + 2)**2 + 1 + (3*-4*sqrt(3) + (sqrt(6)*5)\/sqrt(2))**2.\nAnswer: -6*sqrt(3) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 5*m - 1. Let z = 3 + 0. Suppose 5*p - 3*k = z, -p + 17 = 2*p + 2*k. What is the least common multiple of i(6) and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Suppose -16 = 5*s - 7*s. Suppose -r - w = -s. Solve -2*m + 1 = -h, -m + 5*h + r = 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2)*(-2)\/3. Let z be (-30)\/(-4)*8\/10. Let a = i + z. Calculate the remainder when 22 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 0 - (40 - 36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-108)\/16)\/(3\/(-24)). Let l be (1 + s)*12\/15. Let c = -20 + l. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*m = -43, 0 = 3*a - a + 3*m - 42. Let y = 47 - a. Suppose y + 33 = 3*t - l, 0 = 4*t - 4*l - 76. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215603 (base 7) to base 6.\nAnswer: 452015","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 0.3 (c) -2\/5 (d) 2\/9 (e) 8\/2421 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 8*g - 6*g)*((-g - 3*g + 6*g)*(-5 + 0 + 6) + 2*g - g + 0*g).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -8 - 7) + (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10*a - 36. Calculate the lowest common multiple of 77 and a.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*t = 729*t - 35873 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12438 is divided by 3106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 315655316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 equal to 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 16) in base 5?\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825653 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 22*y + 5. Let i(f) = -45*f - 11. Let b(a) = 4*i(a) + 9*w(a). Let z be b(3). Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1463 and 17024?\nAnswer: 187264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 6*t. Factor -3*y**2 + 4*y - 2*y + t*y + 5*y**2.\nAnswer: 2*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1040000*l. Let d = -9 + 8. Let t be j(d). Round t to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-8)\/(-9)*((-5475)\/73)\/(-600)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*v**5 + 135*l*v**2 - 6*l + 71*v**5 wrt v?\nAnswer: -120*l*v**2 + 4260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 7*h**2 + 2*h + 11. Suppose -12*u + 68 = -4. List the prime factors of r(u).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 26*f = 72. Let n be f\/7 - (-6)\/28. Sort 0.1, -9, n, 3.\nAnswer: -9, 0.1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -3*s - 5*o, -o + 40 = 5*s. Suppose 0 = s*t - 8*t - 80. Calculate the highest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1289117*f**4 - 12*f - 32495?\nAnswer: 15469404*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a113931 - 5?\nAnswer: 2a113927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 1. Let w(b) = 3*b + 11. Let d(i) = 4*i + 16. Let f(a) = 5*d(a) - 8*w(a). Let t(o) = f(o) - 5*h(o). Determine t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**3*u**3 - 2*c**3*u**2 + 20961*c**3*u + 119*c**2*u**3 + c**2*u**2 - 2*c*u**2 + 80*c wrt c.\nAnswer: -36*u**3 - 12*u**2 + 125766*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1*((sqrt(612) + 0)*3 + (sqrt(612) - (sqrt(612) - (sqrt(612) + 0 + sqrt(612)) - sqrt(612) - sqrt(612)) - sqrt(612))*6)*2)*5)**2.\nAnswer: 37800*sqrt(17) + 26989425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720420080 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -10\/11, 5, -3, -2712?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**2\/2 + 8*a + 175. Calculate h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/3 - 12*o**4 + 166*o**3\/3 - 72*o**2 + 88*o\/3 = 0.\nAnswer: -22, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84*s*w**2 + 2*s - 729*w**2 wrt s?\nAnswer: -84*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12679 + -12667. Let l be (-2)\/4 - 34\/(-52). Sort l, x, 1.\nAnswer: l, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1977*y + 37504. Give t(17).\nAnswer: 3895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/(-15)*20\/(-3). Let d(o) = 15 - q - 14*o + 3*o**2 + 8. Is 44 a factor of d(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*q = -10, 3*s - 17 = -2*q - 19 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 2*h + 2*h + m - 7, m + 9 = 2*h + 3*m - 7*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*o - 9*o + 230 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7385 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Suppose -k = -4*p + 1. Let t = 6 - p. What is the remainder when 13 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from qqgegxxqxxqgqxgxqqxq?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21641\/4 - 5347. Let f = u - 63. Factor -1\/4*t + f*t**2 + 0.\nAnswer: t*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 16*k - 2*k + 26*k + 3*k**3.\nAnswer: 3*k**3 + 37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -126, -169, -190, -183, -142, -61?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**3 - 110*b**2 + 36*b + 67. Determine o(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1413350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - ((2 - 2) + -25). Let b = m + -15. Suppose -52 = 4*p - b*p. Calculate the remainder when 38 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -2\/5, 40, 56, 0.3, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**16\/s*s**(-29)\/s assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 8*i - 13. Let n be a(-9). Let b(q) = q**3 + 4*q**2 - q + 4. What is the smallest common multiple of b(n) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 381 = -3*g, -4*g - s + 436 = -69. Suppose 3*w = -3*x + 63, -x = -5*w + 4*w + 31. Let y = w + -12. Calculate the highest common factor of g and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/36 + (-73)\/4. Suppose -k + 47 = -3*n, -5*n + 2*n = -6. Let h = k + v. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1753*g + 1757*g + 0*g**3 - g**3 + 4 in the form l*g**2 + v + b*g + w*g**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 16 + 24*c - 49*c**2 - 25*c to v + u*c**2 + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.088225 and -514.\nAnswer: -513.911775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12757\/549760 + 1\/4295. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16683 - -3\nAnswer: 3.16683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.125, -435.2, -352 in descending order.\nAnswer: -0.125, -352, -435.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 26, -0.11, -2\/3, -5, -14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 818509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-5)\/(-30))\/(14*1\/(-1736)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 15) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let a(x) = 61884074*x. Give n(a(i)).\nAnswer: -123768148*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + 3*f**2 + 5*f + 8. Determine g(-3).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/3*(-17)\/51.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 10*f**2 - 9*f**2 - 2*f + 63*f**2 + 294 - 8*f**2.\nAnswer: 32*f**2 - 2*f + 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let o(l) = 4*l + 3. Calculate 2*b(p) + o(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*l, 2*d + 2*d = -3*l - 15. Suppose d = 4*t - 5*z - 77, -3*t - 4*z + 34 = -3*z. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(-225*k + 0 - 2 + 217*k) to w*k + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172 is divided by 316?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 13*w + 9. Let i be 194\/14 - 3\/(-21). Let r be g(i). Let v(d) = -25*d - 6. Is v(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**6\/27 - 2*a**5\/9 - a**4\/18 + 34*a**3\/27 + 22*a**2\/9 + 16*a\/9 - 6627. What is j in r(j) = 0?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -17. Let y(x) be the first derivative of -9*x**4\/4 + 2*x**2 + 4*x + 64. Let o(z) = -125*z**3 + 55*z + 55. Calculate g*o(q) + 55*y(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*u - 10538 = 142*u. Let z = u + -951. Solve -10 + z = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6007*a**3 + 5813*a**2 - 4*a + 12. Let j(m) = -m**3 + 4*m**2 + m - 3. Let g(s) = -f(s) - 4*j(s). Find the third derivative of g(t) wrt t.\nAnswer: 36066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/5 - 1\/3. Let p = 4\/15 - -1\/15. Which is the second biggest value? (a) g (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 6. Let a be g(4). Let c be ((-3)\/a)\/(9\/12). Suppose -4*y + 52 = -u + 3*u, -5*u + 4*y = -88. Solve 0 = c*j + 2*j - u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {i: 6, h: 7, g: 1, o: 3}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 314867919 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*y - 42 - 56 = 0, -115 = -5*t - y. Calculate the least common multiple of t and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 9:00 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 12090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1051 and 286174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312.61 rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*k + 94*k - 282*k + 93*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2. Let i(t) = -t**2 + 962*t + 2. Determine i(b(x)).\nAnswer: -49*x**4 - 6734*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 38*s - 11*s + s**3 - 7*s - s**4 - 4*s - 15*s to b*s**4 + j*s**3 + n + i*s + v*s**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1211355 - -2?\nAnswer: 1211357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141040127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 17. Let h(d) = d. Give -2*h(g) + t(g).\nAnswer: -g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*a**2 + 71*a**2 - 52*a**2)*(4 + 2 - 4) as m + q*a**2 + f*a and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123596*s**4 - s + 93099.\nAnswer: -1483152*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsbosybxssrsrsrr. What is prob of picking 1 s and 1 y?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6013, -5764, -5515, -5266?\n\"Answer: 249*a - 6262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + (sqrt(21) - (sqrt(84)\/sqrt(4) + sqrt(21)))\/sqrt(7)) + (sqrt(36)*2*-1)\/(sqrt(108)*-1 - sqrt(108)) + -3)**2.\nAnswer: 26*sqrt(3)\/3 + 172\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**3 + 6*z**2 - 7*z + 2. Let o be f(1). Solve 8 = 4*k + c + 3*c, 2*k - o = -3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 2. Suppose -2*m + 2 = -2. Suppose -3*z = -4*z - m. Let r = z - -2. Give f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50\/43 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12490 + 12494. Which is the closest to 0? (a) 1 (b) 2\/9 (c) h (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)*g**(-7))**(21\/8)*(g\/g**(-7))\/(g\/(g*g**(3\/7)*g))*(g**0)**40 assuming g is positive.\nAnswer: g**(-6219\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k**4)\/(k*k**(-1\/7)*k*k**3))**(-40) assuming k is positive.\nAnswer: k**(800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207.059 + -206. Let t = o - 0.075. Let j = 1 - t. Round j to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + sqrt(77)\/sqrt(112)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0 - f**2 + 3 - 2*f + 4*f + 2*f. Let t be r(4). Let o be t\/(-6)*(1 - 3). Solve -4*q + o = 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + i - 2. Let w be z(2). Suppose -5*h = -2*g + g - 143, w*h - 122 = -3*g. Let r = 44 - h. Solve 0 = -9*n + 4*n - r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -8) + (5 + 5 - 4) + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/3)\/(c*c*(c**(-11\/2)\/c*c)\/c) assuming c is positive.\nAnswer: c**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (73 + 100 - 129) + 37\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 984761 to the power of 1\/2, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3233 - 537. Let x(s) = -10*s - k*s**2 - 334*s**2 + 672*s**2. Determine x(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:27 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1610302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-3 - 3) + 5) - 19 - (9 + -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14)*9)\/((-2641)\/55461).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 3*b + 1. Calculate s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 562 + -556. Let w be ((-3 - -3) + (-114)\/b)*-11. Calculate the greatest common factor of w and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1008\/2353 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931526309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(107*j + 823*j + 91*j).\nAnswer: -1021*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -489404 at least as big as -489404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-3 - (1 - (-6 + -27))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2802 + -2801.9972428. Round f to 5 decimal places.\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 5\/24*d**4 + 1\/24*d**6 + 0*d + 0*d**3 - 10*d**2 - 1\/6*d**5 + 0. Factor t(k).\nAnswer: 5*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 0.4, 0.1, -2\/45?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.026 - -0.097. Let z = -0.029 - d. Put z, -3\/7, 0.4 in decreasing order.\nAnswer: 0.4, z, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 0.83. Let g = 0.2 - 0.25. Let d = g - s. What is d rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, 8, 3 in decreasing order.\nAnswer: 8, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/24 - 47*y**2\/2 + 34*y. Let z(w) be the first derivative of c(w). Let l(f) = 6*f. What is l(z(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616826 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/9)\/(a\/((a*a\/a**1)\/a))*(a*a**(-7))\/((a*a**(-1\/5))\/a))\/(a**6\/((((a**6\/a)\/a)\/a)\/a))**(-12\/5) assuming a is positive.\nAnswer: a**(146\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*r**3 + 334*r**2 + 84*r.\nAnswer: 2*r*(r + 7)*(23*r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.9 + -3.6. Let r = l + -3. Which is the nearest to 1\/4? (a) -1\/4 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(153) + (sqrt(153) - -3*sqrt(153)))**2)*1 - 1*(-5 + -5*sqrt(153))**2) + 0.\nAnswer: -150*sqrt(17) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 8*s + 8. Let g = 152 - 126. Suppose 9*t + g + 55 = 0. Give h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2\/9, 32\/3 in decreasing order.\nAnswer: 32\/3, 1, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 1\/120*c**6 + 0*c**2 - c**3 + 1\/40*c**5 - 1\/4*c**4 - 27*c + 0. Let d(k) be the second derivative of i(k). Factor d(z).\nAnswer: 3*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-30))\/(-5*(-6)\/(-25)). What is the second smallest value in -0.02, o, 5, -14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 1176*r + 3546.\nAnswer: -2*(r - 3)*(r + 591)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 7*f + 4. Suppose 5*l = c + 21, -6*c + 2*c + 31 = 3*l. Suppose c*g + y - 33 + 10 = 0, -2*y + 1 = -g. Give w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4123?\nAnswer: 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 6. Let u be s(-5). What is the second derivative of -u*i**4 + i + i**4 - 5*i wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1151\/3462 - -1\/1154. Which is the closest to 0.2? (a) 8 (b) -4 (c) -2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -3*r**5\/40 - r**4\/2 + 3*r**3\/4 + 72*r**2. Factor w(j).\nAnswer: -3*(j + 3)*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634354 divided by -1?\nAnswer: -634354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 23 + 2885*f**2 - 39 - 12*f**3 + 2881*f**2 - 5767*f**2.\nAnswer: -12*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 920 - 920.06. Let o = -10\/41 + -12\/287. Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 7*h + 58. Let z be t(13). What is the greatest common divisor of 119 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11636, -96229, -325832, -772949, -1510084, -2609741?\nAnswer: -4144424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 21302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*d + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 443\/33 - 40\/3. Which is the biggest value? (a) -5 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m - 110. Determine o(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l**4)**(-42) assuming l is positive.\nAnswer: l**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-18)*(331 + 3). Factor 39*j**2 + 3*j**4 - v*j + 49*j + 46*j + 30*j**3.\nAnswer: 3*j*(j - 1)*(j + 3)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-33)\/99)\/((-6)\/(-76)*-2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5342 times 56?\nAnswer: 299152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 7*p**2 - 23)*(2*p + 3*p - 2*p) + 2*p + p**3 - 2*p.\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21702526*z**4 - 46869891.\nAnswer: -86810104*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plllppllpp. Give prob of sequence pllp.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/67, 0, 2\/31, 21, -3\/11, 14 in increasing order.\nAnswer: -3\/11, -2\/67, 0, 2\/31, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-20)\/(-10480)). What is the third derivative of -264*y**4 + 34*y**2 + y + 527*y**4 + 4*y**3 - v*y**4 wrt y?\nAnswer: 24*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - i + 18 = 62, 0 = -2*l + 3*i - 36. Let s = 15 + l. Solve -14 = -2*o - 2*z, 0 = -2*o + 5*z - s*z + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*y + 48*y - 34*y)*(-1 + 1 - 2)*(-2*y**2 + y**2 - y**2).\nAnswer: 172*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.5, 0.04, -2\/5, 0.2, 0.3, 2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129880 and 18190.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = 4*y, -1 - 11 = 2*s - 4*y. Solve -4*z + 5*z + 5*w + 16 = s, -4*z - 2*w + 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 3*o**5\/20 - 49*o**4\/4 + 150*o**3 - 378*o**2 - 320*o - 4. Factor g(j).\nAnswer: 3*(j - 42)*(j - 6)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (5*(1*sqrt(3) - sqrt(3) - sqrt(3)) + -2 + (sqrt(12)\/sqrt(4) - sqrt(3)))**2 + 4 + sqrt(108) + sqrt(3) + -1).\nAnswer: 27*sqrt(3) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) 308 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a**2 + a + (3*a + a - 3*a)*(-2*a + 4*a - a))*((-2 + 2 + 7)*(3 - 2 + 0) + 0 - 2 - 3 + (5 - 3 - 3)*(-1 + 11 + 1)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136304856 is divided by 2387?\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2441, -4635, -6831, -9029, -11229, -13431, -15635?\n\"Answer: -o**2 - 2191*o - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -17 - -4 - -6 - -164 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68, -51, -30, -5, 24?\n\"Answer: 2*z**2 + 11*z - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 + 1835*f**4 - 1936862*f**3\/3 + 4499116*f**2\/3 - 3422872*f\/3 + 855104\/3 = 0 for f.\nAnswer: -862, 2\/3, 1, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 12700190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -282, -562, -842, -1122, -1402?\n\"Answer: -280*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86727210 rounded to the nearest one hundred thousand?\nAnswer: -86700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -1 + 12 + 84 - -2 - 12) + -14.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1442*t**6 - 136*t**5*u**3 - 2*t**2 - 10*t*u**3 - 2*t*u**2 - 2*t*u + 9328*u**3 wrt t.\nAnswer: -173040*t**3 - 8160*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -738*v**2 - v. Let n(p) = 2*p. Give n(k(o)).\nAnswer: -1476*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41140 (base 10) to base 2.\nAnswer: -1010000010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/12 + 74*w**2. Let x(p) = p**3 + 10*p**2 + 15*p - 8. Let l be x(-8). Let i(j) = l*j - j - 3*j. Calculate a(i(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326690, 653376, 980060, 1306742?\nAnswer: 1633422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 2*d - 20, -12 = -3*q + 2*d. What is the first derivative of 8 + 4*z**4 + 5*z**4 + 10 - 2*z**q wrt z?\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c + 10. Determine i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 - 1 = 0. Solve a*x = -2*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3726*l**3 - 1897*l**2 wrt l.\nAnswer: -22356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, 4, -32, -46, -4, 5 in increasing order.\nAnswer: -46, -32, -6, -4, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d = -48. Let j be d + -19 - (-4)\/1. Calculate the remainder when 83 is divided by -3 - (-26 + j\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/2)\/(-5)*0. Suppose -5 = -5*w - i*w. Solve 4*d + 9 = w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -438.4.\nAnswer: 443.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -30, -137, -350, -705, -1238, -1985, -2982?\nAnswer: -4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658*y = 663*y - 4*p - 462, 5*y - 464 = 3*p. Which is smaller: y or 474\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/275, 12, 2\/23, -15\/7, 5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2998 and 8?\nAnswer: 11992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 5, -4, 353, 2\/127, 3\/8.\nAnswer: -4, 2\/127, 3\/8, 2\/3, 5, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78233, 161545, 244857?\n\"Answer: 83312*p - 5079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 3*h + 1098 = 936 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**3\/3 - 6*d + 2. Let o(y) = 2*y**2 + 3*y + 2. Let a(u) = -u**2 - 2*u - 3. Let z(i) = 3*a(i) + 2*o(i). Give 5*t(s) - 6*z(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 117. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -7*x - 13044. What is the hundreds digit of 1\/(6\/((-24)\/4))*x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 121655.2kg in grams?\nAnswer: 121655200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(500) + (sqrt(500)*-1 + 4)**2)*1.\nAnswer: -70*sqrt(5) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Suppose -4*b + 110 + 74 = w. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14 = -14. Let p(k) = 5 + 2*k**2 + 3*k**2 + k**2 - 7*k**2 - 7*k. Let n be p(u). Solve -n*b - 7 - 3 = -5*g, 5*b + 10 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z = -24*z - 3*a + 40, 5*z = -6*a + 67 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10476 and 38412?\nAnswer: 115236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 17*s + 55. Calculate o(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 6:04 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765940 divided by 35.\nAnswer: 21884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 60. Let i be h(-24). Let m = i - -133. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3845438325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0353 - -0.0447. Which is the second smallest value? (a) g (b) 1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1629 - 1633. Let d(v) = -3*v**2 - 12*v + 3. Determine d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:47 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:28 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*u = -2, 4*u + 1 = b - 9. Suppose 2*n + 74 = 2*h + 7*n, -3*h + b*n + 92 = 0. Solve -4*t + r = -8, h = 4*t + 3*r + 2*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let q = 23 + -16. Suppose v - 5*l = -20, -3*v + 30 = 2*v + l. Let z(n) = -q*n**2 + v*n**2 + 0*n**2. Determine z(o(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*i - 52*i - 12220 = 0 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.394 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 39 + -76 + 60\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*7\/(-105)*1\/4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1032\/8772)\/(80\/510)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -5) + -3 + 59. Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -20.99999964. Round c to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13811, 13796, 13755, 13676, 13547, 13356?\n\"Answer: -2*k**3 - k**2 + 2*k + 13812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(-2 + ((sqrt(272) - (0 + sqrt(272))) + 4)*-5)**2.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, -0.1, -1\/3, 2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*0.03439.\nAnswer: -0.0013756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 21. Suppose 0 = 3*k + v*w - 18, -4*w - 6 = k - 0*w. Let m = -31 + 33. Solve -4*p - k = -m*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*x + 5 = 4*p, -5*p - 4*x = -49. Let u = 12 - p. Let j be (-2)\/6 - (-1)\/u. Round j to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 24.98. Let v = 26 - m. Which is the second biggest value? (a) 7 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -1414.716.\nAnswer: -990.3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 55 = -a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-17))**34\/((l**(-2)\/l*l)\/((l\/l**(2\/9))\/l))**(2\/9) assuming l is positive.\nAnswer: l**(46850\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18732 - 1?\nAnswer: -18733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 - 32*i**4 - 3*i**3 + 0*i**2 - 30*i**4 + 3*i**4 + 3*i**2 as x*i + g + l*i**3 + m*i**2 + p*i**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20056 - -53325. Suppose 11*f + b + 44319 = 0. Round f to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-6) - 2\/(-4). Let v = -20\/93 - -3\/62. Let w be (64\/(-132))\/(-4)*9\/6. What is the closest to -1 in v, b, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*j = 24, 93018*i + 2*j - 18 = 93014*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n + 33*n**3 - 4*n - 27*n - 29*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*((-2 + 0 + 0)*(3 + 0 - 4) + (3 - 3 + 1)*(2 - 2 - 1) + 1 - 1 + 5)*(-3 - 2 + 4)*(-4*d + 31 - 31).\nAnswer: -96*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1155 divided by 1155.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*b + 3*q - 11, 5*q - 15 = 3*b. Let u(f) = -f + 16. Does 8 divide u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -363.928 + -0.072. Let d = 362.72 + p. What is d rounded to 2 decimal places?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:08 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1728 + 816 = 3*f. Suppose -n + 2*n = 3*z + f, 4*n - 3400 = 4*z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001726 to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201221201 (base 3) in base 16?\nAnswer: d297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (7 - 4) - (-3 + 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -4*u + 48, 2*z - 4*z + 134*u = 270*u - 133*u + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 239452*s - 50170102766.\nAnswer: -2*(s - 419041)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5537871 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a**3 - 55*a**2 + 20*a. Let p(b) = -49*b**3 + 167*b**2 - 70*b. What is -7*i(c) - 2*p(c)?\nAnswer: -14*c**3 + 51*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3917008900 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12)**(2\/73) assuming f is positive.\nAnswer: f**(24\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, d: 3}. What is prob of picking 1 d and 3 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 181. Let r be s(36). Is (-10 - (-6)\/18)\/(r\/501) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 33. What is the closest to t in 0.5, -4, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1018953 divided by 351\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 2138 = -678. Let z(g) = -g + 21. Let d be z(-15). Let h = n - d. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:05 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3179 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/30 - q**2. Let f(r) = -r**2 - 3*r - 3. Let v(l) = -2*l**2 - 5*l - 5. Let a(h) = 5*f(h) - 3*v(h). Determine o(a(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2023352 + 112?\nAnswer: 2023504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 751556784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h*s**2*y + 48*h*t*y**2 + s**2*y**2 - 2*s**2*y - 10*s*t*y wrt y.\nAnswer: 96*h*t + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 21*a**2 + 45*a + 19. What is g(-23)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -83204, -5, 3, -12, -1 in descending order.\nAnswer: 3, -1, -3, -5, -12, -83204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 49356944*n**2\/5 - 304513490127392*n\/5.\nAnswer: -2*n*(n - 12339236)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 1717?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*d + 5*r + 11, -4*d - 5*r - 13 = 0. What is the common denominator of 19\/16 and (d + (-8)\/(-3))*(-750)\/440?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -36) + 1 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c = 178*c + 2673 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1004 - -1538. List the prime factors of s.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8538.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*g - 46*g = -22*g + 5566460. List the prime factors of g.\nAnswer: 2, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3020*w - 27146. Determine r(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*w**4 + 259*w**3 - 251*w**2 - 886476394*w wrt w?\nAnswer: 2856*w**2 + 1554*w - 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c - 2*g + 3, 4*c - 9 = g. Let j(i) = -i**2 - 5*i - 3. Let q be j(-3). Find the first derivative of -6 + 0 + c*b**q - 1 wrt b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4062 and -947.78043504.\nAnswer: -5009.78043504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120*x**3*z**2 + 105361*x**3 - 4*x*z**2 - 3*x*z wrt z.\nAnswer: 240*x**3*z - 8*x*z - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*k + w - 3, k = w - 1. Let j be (-2)\/(-45)*-3 + (-868)\/(-210). Solve -1 = -d + 2*m - k*m, d = -j*m + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646979840 + -0.0401\nAnswer: -646979840.0401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 8:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000930808 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(40)\/sqrt(4)*2) + -1 + 2 + 5 + (sqrt(35)*1)\/sqrt(5) + -5 + -2 + sqrt(21)\/sqrt(3).\nAnswer: -1 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 6*x**2 + 6*x. Let a(l) = -5*l**3 + 13*l**2 - 13*l. Give -6*a(h) - 13*w(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 + 4*k**2 + 4*k - 12. Let w(q) = 3*q**3 - 3*q**2 - 3*q + 8. Let x(o) = 5*r(o) + 8*w(o). Let x(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1133730 divided by 390.\nAnswer: -2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2. Let y(j) = j**2 - 9*j + 71. Let i be y(-20). Let q(k) = 20*k**2 + i - 1294 + 643. Calculate q(c(x)).\nAnswer: 180*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2817 divide 1595905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1057 divide 23119761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4663291 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 1. Let y be b(6). Solve -2*k - 7 = 5*c, c = 4*c + 5*k - y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 126 = 3*x - 12*d, -d + 4 = 3*x. Let v(h) be the second derivative of 1\/3*h**x - 3\/2*h**2 + 0 - 44*h. Determine v(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -437 - -467. Solve 7*w = w - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 6*i - 28. Let v(g) = 8*g + 33. Determine 4*h(w) + 3*v(w).\nAnswer: -4*w**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163189319?\nAnswer: 2163189319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24165 divided by 9?\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/25 - 77\/50. Which is the third biggest value? (a) -0.2 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9775 + 0.445. Let z = 2.626 + x. Let w = -2.1 + z. Round w to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bbda4 - -3?\nAnswer: bbda7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auu when three letters picked without replacement from auahhuuahuuhaho?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44996383 + 168396383. What is b rounded to the nearest 1000000?\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:21 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/15 - 228\/95) + 21. Solve q*i = -3*i - 80 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -1969*k**5\/60 - k**4\/12 - k**3\/6 + 3*k**2 - 80*k - 11. Let h(c) = -2*c**2. Give m(h(z)).\nAnswer: -7876*z**4 + 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 2*k**4 - k**4 + (-10 + 18*k + 10)*(k**2 - 3*k**2 - 2*k**2)*(10 - 11*k - 10).\nAnswer: 794*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 6156579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*x + 9. Let j = -102 - -72. Let m = 29.7 + j. Which is the nearest to -2? (a) m (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*(-1088)\/(-612)*(-69)\/(-4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*y - 11 = 661, 4*y + 668 = 4*w. Let u = w - 151. Solve -44 = u*n - n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 4*i + i)*(8 + 17 + 18 - 12) as o*i + c and give o.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or -32?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*o - 461 = 0, -4*c + 376 = -o + 6*o. Suppose q - 4*q = -a - c, 34 = q + 4*a. Let g = q + -180. What is g rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*m - 18*m - 1241270 = 37*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 3*f**2 - 3*f**2)*(-6*f - 34 + 34 + (228 + 424 + 616 + 16)*(-7*f + 3*f + 3*f)).\nAnswer: 2580*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) + sqrt(441) + -2*2*sqrt(441))\/sqrt(9))\/((sqrt(2100) + sqrt(2100)*2 + sqrt(2100))\/sqrt(3)).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/9 - 10030*z\/9 = 0. What is z?\nAnswer: 0, 10030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 916609 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, -0.3, 35, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b**3 + 10*b**3 - 22*b - 37 + 21*b**2 + 47 + 31. Calculate the remainder when 6 is divided by d(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 3*a**5\/4 - a**4\/12 + 3*a. Find the third derivative of i(t) wrt t.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4191 - 4196. Which is the smallest value? (a) f (b) 1 (c) 53\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379, -207, -31, 149, 333, 521, 713?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -35*m + 283. Let i be h(8). Let c = 4.83 - -0.17. Put -0.3, c, 2, i in decreasing order.\nAnswer: c, i, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)\/(483\/(-84) + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051148044 rounded to 7 decimal places?\nAnswer: -0.0000511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 931331 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1155*c**2 + 9*c + 8. Calculate the remainder when d(-1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 9\/2836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169*-1*(-1439)\/18707.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggff when four letters picked without replacement from gfgggffggggggg.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154922600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -107, -345, -799, -1541, -2643?\nAnswer: -4177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96598.5 or 154\/3?\nAnswer: 96598.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817572?\nAnswer: 2, 3, 7, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64828 - 128?\nAnswer: -64954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.41209 litres to millilitres.\nAnswer: 11412.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1569724767 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 45. Let s = 0.86 + -8.16. Let l = s - -7. What is the nearest to 1 in d, -5, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 - 2.94.\nAnswer: -177.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i - 16*i - 1059 + 1059 - 18*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4688*p**4 - 14*p**2 + 5*p - 1852. Let t(q) = -2344*q**4 - 8*q**2 + 3*q - 927. Let c(b) = -4*d(b) + 7*t(b). Find the second derivative of c(m) wrt m.\nAnswer: 28128*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6 - 0. Let m(l) be the third derivative of 0 + 2*l**r - 1\/8*l**4 + 0*l**3 + 1\/60*l**6 + 0*l + 0*l**5. Find the second derivative of m(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266\/13 - -1959\/104. Calculate the common denominator of 63\/8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4955236?\nAnswer: 2, 11, 13, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1504\/(-18) + 12\/(-27). Let h be (1 - -6)*(-228)\/y*7. Is h at least as big as 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -249, -863, -2077, -4095?\nAnswer: -7121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 2. Let n = -53 + 68. Let v be n\/(-6)*(-36)\/45. Suppose v*y - 15 = -5. Let a(u) = -1. Calculate y*z(i) - 10*a(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:29 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:17 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11047574 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 55160?\nAnswer: 55161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3 + 20*l + 43. What is the derivative of y(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-83088)\/(-62316))\/((154\/36)\/(-7))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 5092557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -78061 (b) 0.3 (c) -1 (d) -144 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m + 4. Let k be j(-4). Suppose -10*v + k*v = 8. Solve 0 = -v*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*m**2 + 138*m**2 - 298*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1362603 divided by 33\nAnswer: 41291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-40)*(-3)\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465*s - 4 - 9 - 1463*s.\nAnswer: 2*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -3) + (19 - -2) + -5 - 54.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.65439?\nAnswer: 1.30878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l + 0*l)*(-8*l + l + 3*l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by 6\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, x: 2, a: 2}. Give prob of sequence fxfa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -421\/120 + 27\/8. Is a at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3*m - 5. Let x be h(-2). Suppose -t = -1 - x. Suppose -2*u = -2 - t. Calculate the remainder when 15 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*n = n + 32, -3*s = -3*n - 108. Let f = s - -119. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 9 (c) 26 (d) 3\/5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v + 1. Let k be i(-2). Let b = -355882 + 199880. Let y be b - -1 - (k - -4). What is y rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-210)\/(-54) - 4)\/1*-9. Let b be 0\/(-5 + 3 + 3). Suppose 0 = a - l - 1, -5*a - 4*l + 23 = -b*l. Sort y, a, -10 in descending order.\nAnswer: a, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 363787\/9308 - -1\/13962. What is the third biggest value in 0, 3, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 8, 3*s + q = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 7 = 4*d, -d = 5*v - 4*v + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -141*190329\nAnswer: -26836389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/500916 and 101\/17385?\nAnswer: 152779380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11 = -o, -7*x + 2*o - 6 = -9*x. Let t(u) = -549 + 549 - 4*u**x. Let n(g) = 3*g**2. Give t(n(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 8. Let m be (-1 - -2)\/((-581)\/98 + 6). Suppose -7 = -4*x + 2*o + 15, -5*x - 5*o - 10 = 0. Solve -x*d - w = -m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 0, 0*x + 3*v = 5*x - 339. Let n = x + -82. Let d(h) = -h**2 - 15*h - 26. Let z be d(n). Solve p - 14 = -2*m - 3, -4*p - m + 16 = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 73 = -63. What is the greatest common factor of s and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -63222.\nAnswer: -25\/31611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123302 + 2?\nAnswer: -1123300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146.6 - -146. Which is the biggest value? (a) f (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507379710.\nAnswer: 2, 3, 5, 241, 70177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-28)\/6 + 5)*(-568 - 2). Calculate the greatest common factor of f and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 b, and 1 a when four letters picked without replacement from bvavvvbbjvxbbb?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19d + -4?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-3) + 2\/3. Let v be 2\/h + (-33)\/(-9). Suppose -v*r - 3 - 17 = -5*f, f + 20 = -4*r. Solve 5*p + 0 + 10 = f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4617*k + 3 + 5 - 3.\nAnswer: -4617*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/11 + (-2759066)\/(-374) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x + 17. Let m be u(4). Let r = 120 + -127. Let z be (r - -6)\/(2\/(-10)). Let p(g) = -2*g - 6. Let h(s) = -4*s - 11. What is m*h(a) + z*p(a)?\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 9*t + 27. Let u be (-4)\/(-12)*6 - 12. Let l be b(u). Let f = 126 + -7. What is the greatest common divisor of l and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t**3 + 2*t**2 - t. Let x be b(2). Let z = 78 + x. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4380 and 1460?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*sqrt(52)*4.\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15132, -15131, -15130, -15129, -15128, -15127?\n\"Answer: h - 15133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/144*4*15?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*m + 12 = 0, -5*x + 2*m = -5 - 3. Suppose -11016 = -35*r - 10631. Solve x = -3*y + r - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*0.5.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -65 times -0.1\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 71 = 23. Suppose i*f - 15*f = -18. Suppose 4*u = 12, 2*u = -2*a + 6 + f. Let s(h) = h + 3. What is s(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2185 and 57?\nAnswer: 6555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719 = -j + i, -114*i = j - 111*i - 699. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602 = 3*u - 25. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/10 + n**4\/4 + 39*n**2. Let f(g) = -2*g**2. Determine v(f(u)).\nAnswer: 24*u**4 - 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 112575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11848.\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 0*z**4 - 878*z**3 + 2535*z**3 + 1690*z**3 + (-z**2 - 3*z**2 + 2*z**2)*(-2*z**2 - 2*z**2 + 3*z**2).\nAnswer: z**4 + 3347*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -17*y**2 + 5*y. Let s(p) = -16*p**2 + 4*p. What is -3*j(c) + 4*s(c)?\nAnswer: -13*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -41, -88, -143, -200?\n\"Answer: q**3 - 13*q**2 - q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -3 - 4\/(-4). Put -3, c, 4 in descending order.\nAnswer: 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1395)\/(-3)*2660\/(-21). What is x rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n - 5. Let v be 27\/(63\/7) + 1\/n. Which is the nearest to 1? (a) v (b) 1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -123030331?\nAnswer: -123031013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p. Suppose d = -p - 2. Let t = 9 + d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28092 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.131 - -0.1316?\nAnswer: 13.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*2 + 40. Let a = q + -19. Find the common denominator of 347\/15 - a\/30 and -34\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 1\/168*c**7 + 0 - 1\/16*c**4 - 1\/12*c**3 + 1\/80*c**5 - 11*c + 1\/40*c**6 + 0*c**2. Factor d(n).\nAnswer: n*(n - 1)*(n + 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r**5 - 30*r**4 + 36*r**3 - 18*r**2 + 3*r = 0. What is r?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 6*k - 1. Suppose 2*t + 2*r = -3*t + 63, -4*t + 48 = r. Let u(m) = 2*m**3 - 2 + 0 - 2*m - 9*m - 4*m**3. Calculate t*n(y) - 6*u(y).\nAnswer: y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -542 divided by 4.\nAnswer: -271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbwtgttgb. What is prob of picking 1 j and 1 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.9 + -13.27. Let b = c + -1.52. Let v = 0.89000179 + b. What is v rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 1. Let q be (-1 + 0)\/(19\/76). Let l(d) = d - 1. Calculate q*l(j) - w(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 < 0.3048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/6 + 2*i**3\/3 + 4*i**2 - 7588*i. Calculate t(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**2 - 3*n**2 + 3*n**2)*(-12*n + 12*n + 8*n**3) + 0*n**4 - 2*n**5 + 2 + 0*n**4.\nAnswer: 54*n**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.81 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224912116?\nAnswer: 2, 3, 7, 26487049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 7277.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 52 = 5*z + 4*l, 16 = 4*l. Solve -3*x + z = -0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 3*h**2 + 6*h + 5. Let l be q(-4). Let x = l - -5. Is -1\/5 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 2*z - z)*(-61 - 19 + 30) to the form o + r*z and give r.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*m = 8*x - 25, -5*x = -5*m - 40. Let a(v) = -7 + 7 + v + 5*v + v**3 - x*v**2. Suppose 0 = 3*u - 12, 3*o - 5*u + 1 = -1. What is a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (2 - -24) - (3 + 0) - -13?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 96 = 3*w. Let a be 8\/6*558\/w. Is a bigger than -123\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232 + 342?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 6 = -3*o, -v - o = -2*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*h + 263 = 3*p, h = 2*p - 535. What are the prime factors of p?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3926327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/4 + 2)*-22. What is the greatest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.035 in 2, -55235, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18847863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116*w**2\/3 + 4354*w\/3 - 2136.\nAnswer: -2*(w - 36)*(58*w - 89)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -3 (c) -230755 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -27*l + 6. Calculate j(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 96.936. Let y = 0.736 - c. Let b = 2.8 - y. What is the closest to b in -2\/3, -0.3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 4:42 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1408)\/112 + 12)*14*(-11)\/12. Determine u so that 5\/2*u**2 + a - 1\/6*u**3 - 8*u = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29172 = -39*l + 51*l. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x - 51. Let u be j(-6). Let w(f) be the second derivative of -2\/9*f**u - 1\/4*f**5 - f - 17\/18*f**4 + 0 + 4\/3*f**2. Factor w(r).\nAnswer: -(r + 2)*(3*r + 2)*(5*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3\/3 - 3*x**2 + 9*x - 53. Let m(s) = s**3 + 5*s**2 + 3*s - 3. Let h be m(-3). Calculate r(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4\/3 - 100*k**3\/3 + 260*k**2 = 0.\nAnswer: -26, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*n**3 + 290*n**2 + 316*n + 48 = 0. Calculate n.\nAnswer: -12, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -341a (base 15) to base 13\nAnswer: -5050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 503218.6 grams in milligrams?\nAnswer: 503218600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.984 + 0.016. Sort -0.4, 3, 0, t.\nAnswer: -0.4, 0, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2481976 divided by 3772.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6801 - -6864. Solve 9*m = 18*m + t for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373528 != 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 - 10*u**3 - 5*u**2 + 29443*u - 29445*u + 1 in the form c*u + a*u**3 + t*u**2 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*j**2*k**3*u + 2*j**2*k**2*u - 4*j*k**3*u + 2*j*k**3 + 8*j*u wrt j.\nAnswer: -80*k**3*u + 4*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let y(a) be the first derivative of -181 - 99\/2*a**2 + 0*a. Calculate f(y(b)).\nAnswer: -99*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 5*w - 18 = 0. What is the tens digit of ((-1)\/w)\/(2\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-182)\/(-21))*(-16)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3605?\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -652, -903, -1154, -1405?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m**4 - 971*m**3 - 13158*m**2 + 25916*m + 8456 = 0 for m.\nAnswer: -14, -2\/7, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 1776. Let u = 422 - i. Let p be (u\/12)\/(-5) + -3. Which is the second smallest value? (a) -0.5 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-54)\/(-120)))\/(185\/(-444))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 96.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/20*425\/85.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 681 = 4*x - 204, 636 = 4*y + 4*x. Let l = -98 + y. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291085458 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5001215 + 24?\nAnswer: 5001243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/4 + h**4\/2 + 23*h**3\/2 + 34*h**2 + 147*h\/4 + 27\/2 = 0.\nAnswer: -3, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 17. Let q be 40\/i*(-18)\/15 + 0. Solve q*k - 2 = 2*r, -4*r = 4*k + 5 - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 77 = 4*d, 138*p - 207*p = -2*d + 319 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18500 or 1\/8?\nAnswer: 18500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/54 and -21\/29566.\nAnswer: 798282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*d, a - 6*a - 4*d + 18 = 0. Is (0 + 133)\/(a - (6 - 1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25, -80, 3, 1, 5.\nAnswer: -80, -1, 1, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let z(h) = -66*h. Calculate k(z(o)).\nAnswer: 8712*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/7)\/(53\/(-371))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, 3, 54, 12671, 4.\nAnswer: -17, 0, 3, 4, 54, 12671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 1408*g**2 + 128020*g - 718296.\nAnswer: 4*(g - 173)**2*(g - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**1*n*n)\/n)**(-16\/9)\/(n*n**(-5)*n*(((n\/(n**(-2\/17)\/n))\/n)\/n)\/n))**(4\/19) assuming n is positive.\nAnswer: n**(-296\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680947 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5093375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((55*2)\/2)\/((-12)\/(-12)))\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r + 17*r + 17*r + 17*r + 2*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -26 - 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x - 116. Is 6 a factor of n(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (11 - 3) + -18 + 4 + -11 + 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178088 divided by 226?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2190 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11919536329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 78354.\nAnswer: 548478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 4 + -4 - (2*-3*sqrt(832) + sqrt(832)))**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2768.33 grams?\nAnswer: 2.76833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 78 (b) 0.2 (c) -0.5 (d) 6 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380.6 + 380.598353. What is x rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-8) + (-1 - -1). Suppose q*t + 3 = -0. Let u(y) = 5*y**2. Calculate u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-96)\/2280*5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 26*u - 15 + 26 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/62196 and 1\/1704?\nAnswer: 124392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 440?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m + 117. Let g be i(-13). Suppose -4*x + 11 = 2*u - 11, -5*x + u + 24 = g. What is the remainder when 88 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 296 (b) 3\/7 (c) 0.071 (d) -1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 + 0.2. Sort 1\/4, j, 0.7 in descending order.\nAnswer: 0.7, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s*s\/s**(-22)))\/s))\/s*s)\/(s\/(s*s*s**17\/s*s*s)*s*s)*(s**(1\/2)\/s*s)**(-38) assuming s is positive.\nAnswer: s**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8127833 or 0?\nAnswer: -3\/8127833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -93*d**4\/5 - 705*d**3 - 33231*d**2\/5 + 3249*d\/5 = 0.\nAnswer: -19, 0, 3\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 56178\/7, -0.1, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/20)\/(((-10)\/(-10))\/(-36)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5123462 nanograms in tonnes?\nAnswer: 0.0000000000000005123462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 3. Suppose -4*b = -q*z - 32, -2*b - 3*z + 3 = 9. Solve -b = -5*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10. Suppose 2*a = c*h - 14, -4*a + a - 17 = -2*h. Suppose m + 5 = h*u, m = 3*m - 6. Solve 0*s = -u*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (103 - (9 - -15 - 33))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*v**3 - 90*v - 68*v + 273*v - 115*v.\nAnswer: 119*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 36*h - 2 + 37*h + 0*h - 4*h + 3*h + (2 - 3 + 0)*(0*h - 2*h + h) - 4*h - 3*h + 5*h.\nAnswer: 71*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**0\/(u*u**(-2\/3))*(u*u\/(u*(u*u*u*(u*u**(-2\/7))\/u)\/u)*u)\/(u**6\/u) assuming u is positive.\nAnswer: u**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2031 - -1007.7.\nAnswer: -1023.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5 = 7, 2*w + 3*h = -3. What is the third derivative of 135 - 135 + 10*r**w + 8*r**2 wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -27 - 29 + 437*g + 23 - 435*g. What is o(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13017.\nAnswer: 3, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 410547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.5 + 2.1. Let v = -1.9 - j. What is the smallest value in v, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43833?\nAnswer: 3, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:01 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, 0.3, 4, 0.7, -5, 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 5*b - 2*w + 10, 0 = -3*b - 5*w + 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24452.\nAnswer: 2, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101\/(0 + -3 + 3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 128299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111067115.\nAnswer: 5, 23, 965801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41625694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179328*d*w**2 + 7703*d*w - 2*d + 2*w - 2 wrt w?\nAnswer: 358656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2351482*h**4 - 1096942.\nAnswer: 9405928*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2247*w**4\/4 + 3*w**2\/2 + 228*w - 499. What is the second derivative of o(f) wrt f?\nAnswer: -13482*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -26. Let q = -24 - d. Is q less than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a + 18 = -67*a. What is the third biggest value in a, 0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 4*k + 48, 286*p + 3*k = 286*p + 15 - 3 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10232301023 (base 4) in base 12?\nAnswer: -4b980b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -25280\/27829?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 22. Let h = 12 - u. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 2639 = -2585 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-11)\/198*2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993209217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from gsssggs.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99118200 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 358, 634, 1026, 1540?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + z - 4, -3*u - 2 + 8 = -3*z. Suppose -u*t + 155 - 43 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 15217, 3, -0.4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11\/(-85 - 14))\/(2\/(-9)))\/((-1)\/74).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 32 = -2*b, 2452*b + 32 = -5*m + 2446*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.01 + -0.01. Let r be 1\/1*(-2)\/(-1). Suppose 2*k + 6 = 2*b + r, -k - 4 = 0. What is the smallest value in q, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29772.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -19)*(-6)\/15 - (-5928)\/141. Are 38 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -243, -194, -155, -126?\n\"Answer: -5*y**2 + 64*y - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152.9 - -160. Let d = -7 + o. Let f = 55\/42 - 8\/7. What is the smallest value in 1\/8, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let r(m) be the first derivative of 2*m**4\/3 + 33*m**2\/2 - 26. Let c(z) be the second derivative of r(z). Calculate l(c(h)).\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -886 (base 12) to base 7\nAnswer: -3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6104417, 24417787, 54940069, 97671263?\nAnswer: 152611369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 55562?\nAnswer: 55565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*o**3 + 2*o**2 - 6*o**4 + 2 - 12*o + 38*o**3 + 7*o + 4*o to f*o + q*o**3 + m*o**2 + i + s*o**4 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 1995. Let f(v) = -v. Calculate f(l(j)).\nAnswer: 4*j - 1995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6110.612 centuries to millennia.\nAnswer: 611.0612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y. Let l be h(-8). Let s(a) = a + 2. Let i be s(0). Let x be ((-7)\/((-14)\/32))\/i. Calculate the greatest common divisor of x and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 6*i + 229*i**3 - 240*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmcvvwcv. What is prob of sequence wwm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -1, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434 >= 3451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*d - o, 2*d + 76*o - 34 = 78*o. What is the greatest common divisor of 3328 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24594246973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 3753. Let a(d) = 3*d + 3751. Determine 3*a(g) + 2*b(g).\nAnswer: -g + 3747","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1957 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191064883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 66. Suppose -a*m + c = -35 - 4, 0 = -3*c + 15. Calculate the greatest common factor of 44 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36243 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/12)\/z)**(7\/3)\/(z\/z**3)**38)**(-9\/5) assuming z is positive.\nAnswer: z**(-529\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (46 - 50) + 7 + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673*z = 623*z - 11279500000. Round z to the nearest one million.\nAnswer: -226000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -711 + 707. List the prime factors of ((-485)\/(-2))\/((-5)\/z).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020031 (base 5) to base 13.\nAnswer: 11a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctkt when four letters picked without replacement from cctcttk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -106370 and 0.09.\nAnswer: -9573.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9.9 (b) 0.2 (c) 8 (d) 690\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-4*z + z - 3 + 6*z).\nAnswer: 9*z - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**2 - d - 1. Let t(x) = -x**2 - x - 1. Let z(u) = -a(u) + t(u). Let j(h) = -12*h**2. Give j(z(b)).\nAnswer: -1452*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2303500700 to the nearest one million.\nAnswer: 2304000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/48 and 25\/198.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 16\/9*j + 1\/9*j**2 - 4 = 0?\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:59 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1312199 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/9 - 182*j**3\/9 - 212*j**2\/9 + 2528*j\/9 + 1472\/3 = 0.\nAnswer: -3, -2, 4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -595 and -3533555.\nAnswer: -3534150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2 + 16 - 4 - 2*v**3 - 2*v**3 - 9 - v**2. Suppose 3*w + w = -4. What is b(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-10) - 5\/25. Let n = -2 + b. Let t(m) = -6*m**2 + 2 + 0 + 2*m**2 + 3*m**2. Calculate t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169743.8688 to the nearest ten.\nAnswer: 169740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 424\/12 + (-2)\/(-3). Let o = z - 4. Suppose -3*v = -0*v - 240. Calculate the greatest common factor of v and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -3\/10*s**5 + 17 + 0*s**2 - 4\/15*s**6 + 0*s**4 + 1\/6*s**3 + 4*s - 1\/14*s**7. Determine g so that n(g) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10101100011010001000?\nAnswer: -10101100011010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 32*f**2 - 30*f + 30. Let p = 29 + -60. Let k be d(p). Calculate the common denominator of 79\/24 and (-296)\/(-42) - (4 - k).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1759784340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 585509 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 13*q**4\/12 - q**3\/6 - 4*q - 37. Let o(u) be the first derivative of f(u). Let m(t) = 2*t**2. Determine o(m(h)).\nAnswer: 52*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.42 + -14.2. Let a = c + 1.042. What is the smallest value in 5, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 111.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1183649.1 microseconds?\nAnswer: 0.019727485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-414 - 480 - 370)*(-12*m + 26 - 26).\nAnswer: 15168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -67*r**3 + r**2 + 2*r + 1. Let d be q(-1). Let x = 172 - d. What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(21\/840*-8*85)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(264)*6)\/(-1*sqrt(648) - sqrt(648) - sqrt(8)))\/(-5*(sqrt(3) + (sqrt(147)*1 - sqrt(147)))*3).\nAnswer: 4*sqrt(11)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3037 + -1317. What is w rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70372 is divided by 682?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 572 and 104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 - 8 = 0. Let h(a) = a**2 + 4*a + 2. Let v be h(-4). Suppose -v*d = d - 24. What is the highest common divisor of d and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -918 + -3740?\nAnswer: -4158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*g - 180, 0 = r + g + 3*g + 66. Let i(k) = -83*k**3 + k. Let y be i(-1). Let b = r + y. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95633 + -95633.4. Let w = 71 - 356\/5. Sort 70, w, o in decreasing order.\nAnswer: 70, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 288*l**3 - 4*l**2 + 1152*l.\nAnswer: l*(l - 288)*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -6666922.\nAnswer: -1333384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*o**3 + 66\/5*o**2 + 27\/5 + 3\/5*o**4 - 72\/5*o.\nAnswer: 3*(o - 3)**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/28*((-19)\/5 + 3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173824 (base 9) in base 13?\nAnswer: 4779c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -198, -1, -15 in descending order.\nAnswer: 2, 1, -1, -15, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 14557, 1274 in decreasing order.\nAnswer: 14557, 1274, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -2*q. Let n = 3 + q. Calculate the lowest common multiple of 6 and (-2 + n)*(-15 - 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by -5.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtpppxlttbp. What is prob of sequence tb?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -19293*u**3 + 531*u**2 - 1062*u + 1593. Let x(w) = 182*w**3 - 5*w**2 + 10*w - 15. What is 5*v(o) + 531*x(o)?\nAnswer: 177*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 - -0.2224. Round c to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 25 = 11*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31322 is divided by 30366.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1879\/445 + 2\/89. Find the common denominator of -69\/8 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 1:40 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -33*n + 75. Let z = n - -17. Let i = 1 + -1. Solve 0 = z*t - i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14502160, -14502161, -14502162, -14502163, -14502164, -14502165?\nAnswer: -14502166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 + 46*l - 89. Give d(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9351, 18655, 27959, 37263, 46567?\nAnswer: 55871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*w + 70*w - 336 = 0. Let o = w - 9. Is o smaller than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0315 times 255\nAnswer: -8.0325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.83 times -4?\nAnswer: 15.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*j + 10, c - 2*j + 1 + 5 = 0. Let k be c + 0 - (0 + 0). What is the remainder when ((-3)\/k)\/((-9)\/(-12)) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 = 609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13701393.\nAnswer: 3, 47, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 10*c - 4*c + 2*c - 7*c + 23*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2149485 - 1409485. Round q to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 + 28644*j**2 + 38756736*j + 14726071296 = 0.\nAnswer: -5529, -816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 29. Let l be 2*(-40)\/u*-3. Suppose 0 = -20*i + l*i. Which is greater: 0.03 or i?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1738, -3474, -5210, -6946?\n\"Answer: -1736*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = -a. Let z(p) = -2*p - 1. Let j(y) be the third derivative of y**4\/6 + y**3\/3 + 4*y**2. Determine a*z(x) + 2*j(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 36 + 36 = 0. Suppose d = t - 4*b - 8220, 3*t - 2*b + 3884 = 28594. What is t rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/53908 and -111\/20?\nAnswer: 269540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**6\/360 + c**5\/120 - 5*c**4\/12 + 44*c**3\/3 - 89*c. Let s(h) be the second derivative of g(h). Calculate s(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2*n*n)\/n**(-1)*(n**(-1)\/n*n)**12)**40 assuming n is positive.\nAnswer: n**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-1*sqrt(490) + sqrt(490) - sqrt(10))*-3.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6*i + 12 = 5*k, 4*i + 5 = 3*k. What is the highest common divisor of k and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35867261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1778204 divided by -388\nAnswer: -4583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13756 + 0.129. What is k rounded to 4 decimal places?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119) - 4*sqrt(119))\/sqrt(7) + sqrt(153)\/(sqrt(1296) + 5*sqrt(1296)))**2*2.\nAnswer: 7116353\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19087582 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 63 = 3*i - 10, 69 = -2*m - 5*i. Suppose -5*b + 2*x - 1114 = -b, -2*b + 2*x = 556. Let y = b - -276. Sort -4, m, y, 4 in descending order.\nAnswer: 4, y, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139740 divided by 548\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = 16. Suppose -4*w + 8*w = u. Solve 0 = -2*z + 2*o - 13 + 1, -w*o + 2 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 3085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose -3 + 11 = c. Let f = c - j. Solve -f*b + 14 = 2*p, -5*p - 4*b - 10 = -3*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 2 + 0 - 3 - r to x*r + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204706 is divided by 2181?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 44 + 24 = 0. Suppose 8*v + 36 = 4*v. Let b = v - g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2472)\/(-30) - (2 - 1). Let v = 81 - t. Which is the third biggest value? (a) 2 (b) 1\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:23 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k - 512 - 136. Let a = k - -75. Let m be (-4 - (a + -5))*2. Which is greater: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + y**2 + 2*y)*(3*y**2 - 342 + 189 + 171) to the form r + q*y**2 + z*y**4 + t*y**3 + p*y and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - l - 3)*(3*l - l + l) + 18*l**2 - 10*l**2 + 3*l**2 + 2*l**2 + l**2 + 0*l**2 as m*l**2 + a*l + s and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**9\/n))**(-1\/41)*(n\/n**(-7))**33 assuming n is positive.\nAnswer: n**(10831\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16 - (45305\/578)\/(-13). Which is bigger: -10 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:06 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 1\/6*m**3 + 64*m**2 + 3\/20*m**5 + 0*m - 5\/12*m**4 + 1\/120*m**6 + 0. Let s = -9 + -1. Give h(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 286 = -344. Is (v\/9)\/((-5)\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 - 1006941211.24.\nAnswer: -1006941264.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -0.31. Let d(z) = 13*z**2 + 15*z + 6. Let s be d(-5). Let y = s - 1029\/4. Is i less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) -0.04 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -48, -80, -122, -174?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 24*y**3 + y**2 + 3*y - 2. Let g be l(1). What are the prime factors of 52\/g + (-2 - -618)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4939 is divided by 59.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1 (base 12) to base 4.\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145 - (2 - (4 - -2)).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 40\/9 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -11\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*d - 4 = -62*d. Differentiate -97 - d*a + 2*a + 2*a - 39*a**2 with respect to a.\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251 is divided by 116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 937.4544ug in kilograms?\nAnswer: 0.0000009374544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*q**3 - 9*q**3 - 5 + 5 + 3*q**4 + 21*q**3 + 82*q**2 wrt q.\nAnswer: 72*q + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*c - 27137 = 46*c + 73*c + 93775 for c.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + -42. Let r = 63.4 + i. Which is the biggest value? (a) 7 (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1117273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -956 equal to -12440\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**2 + d**3 + 4*d**2)*(-297 + 2946 + 128) to s*d**3 + q*d + g*d**2 + u and give s.\nAnswer: 2777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 5*d + 5*d + 3*d + d - 3*d + (-d + 3 - 3)*(0 - 1 - 1) + 203 - 203 + 9*d + (44 - 44 - 8*d)*(3 + 1 - 5) as l*d + t and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1800, 1789, 1776, 1761, 1744, 1725?\n\"Answer: -i**2 - 8*i + 1809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 7 + 3. Let t(z) = -9*z**3 + z**2 + z. Let w be t(s). Solve w - 3 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.07774ml in litres?\nAnswer: 0.06707774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 + 4 = 0. What is the units digit of 3 + ((-3)\/(-3))\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + -2 + sqrt(162))**2 + 5 - -4*(4 + sqrt(162) + -5)).\nAnswer: -860 - 450*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127052 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 67*l**2 + 39*l + 2454. What is w(-67)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 6781.94 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**4\/3 + 7*s**3\/6 - 2*s - 3. Let n(w) be the first derivative of d(w). What is the second derivative of n(g) wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.466903642 + 2.4669. Round c to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(1\/3))*c)\/c*c*c\/c**4)\/(c\/(c**0\/c))**(-17))**(-50) assuming c is positive.\nAnswer: c**(-4850\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/8 + 2\/8. Suppose 0 = d*l + n - 23, l + 0 + 10 = 5*n. Suppose 124 = l*s - s. Calculate the remainder when s is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.4*5.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -746, -1110, -1474, -1838, -2202?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.873 + -5.00568.\nAnswer: 10.86732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 860.449.\nAnswer: 865.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:33 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000168932069 rounded to 6 dps?\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3559 and 13800210.\nAnswer: 13800209.6441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**2*o*o)**13\/((o\/o**(-1\/5))\/(o*o\/(o\/(o**13*o*o)*o))) assuming o is positive.\nAnswer: o**(459\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 54, 51, 4 in decreasing order.\nAnswer: 54, 51, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/6 + 7*b**4\/24 - 10*b**3\/3 - 17*b**2. Let h be ((-18)\/(-8))\/((-8)\/(-32)). Is j(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153.18 + 152.18. Sort u, 7, -5, 1\/19 in decreasing order.\nAnswer: 7, 1\/19, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-11))\/f**(-2\/57))**(-2\/15) assuming f is positive.\nAnswer: f**(-1372\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18749659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 98*c**3 + 28*c + 28. Let q(b) be the first derivative of 11*b**4\/4 + 3*b**2\/2 + 3*b + 520. Calculate 3*m(y) - 28*q(y).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.52 - 0.62. What is the nearest to n in 4, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/4 + 159219*a\/4 + 58553913\/2.\nAnswer: 3*(a + 746)*(a + 52327)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 10:21 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 315578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -161. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = -0*r + 2*r. Suppose r = -10*y + 4769 + 3171. List the prime factors of y.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 1\/3 (c) 1\/6 (d) 0.2 (e) 4 (f) 106 (g) -488\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let q(c) = 10*c + 11*c + 9*c**2 - 3*c**2 - c**3 + 2 - 5*c + 11*c. Let t be q(9). Solve -r*x = -x + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -106. Solve -3*o = -u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27331582 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-26)\/52\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, 1 w, and 1 g when four letters picked without replacement from {c: 3, k: 2, s: 6, g: 3, w: 2}?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 3284633*q - 3284633*q. Let z(g) = 363*g**2. What is i(z(o))?\nAnswer: 263538*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1399, 2794, 4189, 5584, 6979?\nAnswer: 8374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1065*k**2 + 205*k**2 - 2254*k**2 + (3*k + 0*k - k)*(2*k - 2 + 2).\nAnswer: -980*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3631 + 9168. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*l = 2*s + 51*l + 58*l - 8, -10*s + 3*l = -45 - 16 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290 + 84. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2817?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 2*u**3\/3 + u**2 + u. Let g(f) = -f - 14. Let d be g(-13). Let r(a) = a. Calculate d*x(k) + 6*r(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*v**2 + 1515*v - 6*v**3 - 159*v**2 + 2279*v + 3*v**3 to the form z + w*v + x*v**2 + m*v**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 7. Let r be l(-7). Suppose 2*p + r*p = 14. Let t = p + 9. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 5. Let l be u(-6). Let t = -3 + l. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + p**2)*(-9 - 4 - 15)*(1 - 2 + 4).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {k: 2, y: 1, a: 1, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*y - 61 = 2*y, -2 = -y. Suppose l = -4*x + q, 5 = l - 3*x + x. Do 11 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-140)\/(-15))*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83028 and 431124.\nAnswer: 80620188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 7*i + 8. Let y(c) = -c - 1. Let j(o) = q(o) + 6*y(o). Let h be j(2). Suppose 0 = -3*m - h*t - 4*t, m = -2*t. Solve -3*z - 2*z - 20 = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 2\/381, 395, -0.3, -3?\nAnswer: 2\/381","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 a factor of 468146905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1)*((5*u - 4*u - 3*u)*(1 - 1 - 4) - u - 2*u + 2*u) to the form q*u + b and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 1:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.42881 micrograms to grams.\nAnswer: 0.00003942881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20 = 2*n. Suppose -n*z = z. Factor 2\/3*h + z - 4\/3*h**2 + 2\/3*h**3.\nAnswer: 2*h*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*c**4 + 4*a**3*c**2 - 5*a**3*c + 54*a*c**3 + 2*a*c**2 wrt c?\nAnswer: -24*a**3*c + 324*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31886 - 214470 - 66731 = 2833*d + 1700*d for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -76, -4, -113 in decreasing order.\nAnswer: 0, -4, -76, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/7)\/(263\/(-5523)). Suppose 0*z = -3*s + 5*z + 160, -175 = -4*s - z. What is the greatest common divisor of s and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 3858061. Let f(u) = u. Give r(f(p)).\nAnswer: -4*p - 3858061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2587515 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40813 = 1412*i - 5292 + 44963 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428 and 1238846?\nAnswer: 2477692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0252619 to 4 decimal places.\nAnswer: -0.0253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -767*d - 4592. Give g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49 - 174*q**6 - 3*q + 3*q + 116*q**6 - q**2 wrt q.\nAnswer: -6960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 381062002 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -46010 times -1245\nAnswer: 57282450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3499529335.\nAnswer: 5, 673, 1039979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 378 - 231. Calculate the greatest common divisor of v and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/3*(55242\/(-6006))\/(-93)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 30 + 54 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325.4 + -51.4. Let k = -275 + v. What is the third smallest value in 2\/9, -4, k, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658372353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347*j**2*v**4 + 2*j**2*v - j**2 - 4*j*v**4 - 3586*j*v - 1 wrt v?\nAnswer: 4164*j**2*v**2 - 48*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-186)*115\/((-2760)\/144)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:20 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-30) + -8)*265\/106?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i + 12. Let k be y(-9). Suppose 25 = -t + k. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1099 - -1086) + 0 + 0 + 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjjvsjv. What is prob of sequence nv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 - 4*r**2 + 106*r - 2*r**4 + 57 - 94*r - 51 to a*r**3 + g + f*r**4 + p*r**2 + b*r and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/2 - 672174*b + 57812511\/2 = 0.\nAnswer: -448159, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499647831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -k, k - 4*k = 2*m + 8. Let u be (-1 + -6)*k\/14. Find the second derivative of -u*t + 0*t - 2*t**5 + t wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12267219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106 * -49578.\nAnswer: -5255268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 3 - 4 + 3*n + 4*n. Let q be g(5). Let r be (13\/5 - q) + 1. What is the smallest value in 3, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 4*b + 4. Let p be q(-1). Let c(j) be the second derivative of -j**4\/12 - j**3\/3 + j**2 + 2*j. Determine c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 90588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/4)\/((-2)\/(-4)). Let w(s) = s + 6. What is w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 976*(10\/(-20))\/((-72)\/9).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60152 is divided by 6656.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29486532.\nAnswer: 2, 3, 311, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2))**21 assuming q is positive.\nAnswer: q**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/299 or 1.57?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 130638144 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2782 - -2802. Solve 43*q - 184 = d*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123010322 - -242?\nAnswer: -123010030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + j + 2)*(0 - 6 + 4) + 36 + 4*j - 36.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3535, -7, 11, 2, 0 in decreasing order.\nAnswer: 11, 4, 2, 0, -7, -3535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -2*l**8\/105 - 7*l**4\/3 - 5*l**3\/3 + l**2\/2 - 4*l + 10. Let d(q) be the second derivative of f(q). Differentiate d(x) wrt x.\nAnswer: -128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63644.93ml to litres.\nAnswer: 63.64493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1296828, 2593793, 3890758, 5187723, 6484688?\nAnswer: 7781653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Are a and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68186?\nAnswer: 2, 103, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 13*z**2 + 20*z - 17. Let s be x(-11). Solve -c + 4*n - 7 = 0, -4*c + 8 = -5*c + s*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 2) + (-147)\/49. Suppose -3*d = 3*h + 9, -h - 4*d = 7 + 11. Sort h, c, 1 in decreasing order.\nAnswer: h, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-19) + -4)*(-3145583)\/4942.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 29957*h - 8088385. Give z(270).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*u - 54, 3*u - 73 = -u + o. Suppose 10*z = 13 + u. Factor 0 - 2\/5*f**z + 2\/5*f + 0*f**2.\nAnswer: -2*f*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11358, -45536, -102498, -182244, -284774, -410088?\n\"Answer: -11392*r**2 - 2*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -14*j. Let l(w) = 241*w. Give p(l(b)).\nAnswer: -3374*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/8 and 35\/178?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(57)\/sqrt(3) + 3*sqrt(2299)).\nAnswer: -32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 26*x**2 - 6*x - 53. Let n(k) = -9*k**2 + 2*k + 18. Calculate 6*j(q) + 17*n(q).\nAnswer: 3*q**2 - 2*q - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 266 + -107. Suppose -v - 3*s + y = 0, 2*v = -3*s + 286 + 41. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = 2*h. Let z be -2*(2\/2 - h). Let c(w) = 408*w - 13 - 208*w - 201*w. Calculate c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19d6ae - -2?\nAnswer: -19d6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27da8 (base 14) to base 9.\nAnswer: -160386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 146 (b) 2 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6018318.9 seconds to days.\nAnswer: 69.65646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25422355 (base 6) to base 8.\nAnswer: -3120037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1, 3, 5, -5 in decreasing order.\nAnswer: 30, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 985, 1969, 2965, 3979, 5017, 6085, 7189, 8335?\n\"Answer: t**3 + 977*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r. Let p be ((-54)\/12 - -3)*-2. Let n(g) = g. Determine p*n(b) + d(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 87933*x + 4389150.\nAnswer: 3*(x + 50)*(x + 29261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*y**3 + 43*k**2 - k - 7*y**3 - 7*y wrt k?\nAnswer: 4*y**3 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 16408?\nAnswer: 65632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 640421661 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:26 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 + 212. Let z = 178 - p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93.93 - 84.93. What is the nearest to -0.1 in 5, -0.7, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (100\/60)\/(20\/24). Suppose x + 7 = -2. Let v = x - -5. Put -1, v, s in descending order.\nAnswer: s, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 9*y**2 - 12*y - 4. Let c be r(2). Suppose c = 25*h - 28328 - 3072. List the prime factors of h.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 0, -5, 1, 33 in decreasing order.\nAnswer: 33, 1, 0, -5, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1003*s**3 + 4. Let d(i) = 167500*i**3 + 670. Give -335*b(x) + 2*d(x).\nAnswer: -1005*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4\/3, -1, -3, 5 in decreasing order.\nAnswer: 12, 5, -1, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6480 and 528720?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*v + 14*v. Suppose c - 85 = -5*m, -m - v = -3*c - 2. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 9) to base 7.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 6 - 4*i**2 + i + 14*i**2. Is u(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 5)*(-2 + 2 - 3*w)*(0 + 2 - 3 + (-1 + 2 + 1)*(-1 + 3 - 3) - 1 - 3 + 3 - 6 + 1 + 1).\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6281 and 6667567?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, h: 1, y: 2}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 196, 191, 186?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - a + 4*a - 5.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 28 = 8*x. Suppose 8*d = x*d + 89. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2\/13 + 1484*k\/13 - 10486\/13 = 0?\nAnswer: -749, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 427591.\nAnswer: 427590.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 145654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 2*v**2 - 80*v + 23. What is p(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 8*g - 12. Let i be r(6). Solve 2*w = -u + 4, 3*w - 3 = -i*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -5*h**2\/2 - 8*h + 12. Let l be z(-2). Let f be 27\/15 - l - 513\/(-15). Calculate the highest common factor of 51 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 36 (b) -22 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 705, 3, 1.6, -2\/29, -3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) 1 (c) 0.383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.85 - 6. Let n = i - 0.35. Which is the third biggest value? (a) 0.3 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353 (base 14) to base 8.\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 5*s - 56, 4*c + s - 1340 = -1333 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93056734 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8578*w - 8568 wrt w.\nAnswer: -8578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -341 - -340.967. Which is the biggest value? (a) -1 (b) -2\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0717 + 0.1283. What is the third biggest value in h, 0.4, 2\/9, 182?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 - 230942*m - 13333551841 = 0. What is m?\nAnswer: -115471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f**2 - f + 2. Let t(x) = -3*x**3 - 5*x**2 + x + 125. Calculate -t(b) - 4*w(b).\nAnswer: -b**3 + b**2 + 3*b - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 6, w: 3, p: 2}. What is prob of picking 1 p and 2 w?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 993261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 70372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - -1 - 4 - 2. Let i be 1\/r + 8\/(-8). Suppose -23 + i = -x + 2*g, g = -2*x + 41. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3 = -8*g + 9*g, -g + 6 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 4. Let a(m) = 1. Let i(x) = 4*x**2 + x - 1. Let t be i(1). Let u = t + -3. Determine u*w(b) + 5*a(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - ((-48 - -1) + (290 - 262))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 915\/6*((-1558)\/205)\/19?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**2 + f. Let t(h) = 2*h - 8. Let q be t(9). Let r be (1\/(-3))\/(11 - q)*-3. Let o be (-1 - -2) + (r - 1). Give p(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 2757768.\nAnswer: 13788840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 20039 = -7151. Is t a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(1952250\/95)*-4?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 1095814?\nAnswer: 12\/547907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u**2 + u + 7. Give b(-4).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*c - 2*x + 12, -16 = -4*c - 5*x. Let r be (10\/c)\/(4\/8). Solve -m - r*a = -4*m - 34, 5*m - 5*a = -40 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68692 is divided by 7617?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5 - 8*i**3 + 2 + 2. Determine z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1327 divided by 3\nAnswer: -1327\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r - 3*r - 7*r - 5*r - 3*r + 31*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-9 + 4)\/(-5). Suppose -4*o - 112 = -4*g, 0 = 2*g + 3*g - c*o - 143. What is the smallest common multiple of g and 7?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*i - i**2 - 1 - 361*i**4 - i**2 - i**3 + 360*i**4 to the form m*i**3 + q + x*i**2 + a*i + k*i**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 166, 164, 180, 226, 314, 456, 664, 950?\n\"Answer: 2*g**3 - 3*g**2 - 7*g + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0 + j - 11\/6*j**3 + 0*j**2. Let f(b) be the first derivative of -b**2\/2 + 3297. Give f(d(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + v**3 - 4*v**3)*(25 - 26*v - 25) + 4*v**4 - 5*v**4 - v**4 + 0*v + 0*v + v**4.\nAnswer: 51*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 242425920 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t + 4*c - 26, 0 = 2*t - 2*c + 6. Let q = 3 + -1. Suppose q*i - 8 = -2. What is the remainder when i is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 109*s - 3. Suppose 4*n + 5*t - 233 = 0, 0 = -2*n + 4*n - 3*t - 89. Let r = n + -51. What are the prime factors of h(r)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385, 771, 1157, 1543, 1929, 2315?\nAnswer: 2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/11)*y*(y\/((y**(3\/8)\/y)\/y*y*y))\/y*(y**(-15)\/y*y)\/y**(-14))**(-35) assuming y is positive.\nAnswer: y**(-1365\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * -0.1\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*r**3 + 4223*d**3 + 439*d**2*r**3 wrt r.\nAnswer: 3*d**3*r**2 + 1317*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*r - 478*r + 65*r - 180*r)*(-r**3 - r**3 + 4*r**3) as f*r**4 + a*r + g*r**3 + w*r**2 + j and give f.\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3713 (base 16) to base 12\nAnswer: -81ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104460057 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -625 - -616. Let k(p) = p**3 + 6*p**2 - 6*p - 9. Calculate the smallest common multiple of k(-6) and d + 31\/1 + -4.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 70*f + 528. Give x(-79).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8016 and 149632.\nAnswer: 448896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/20)\/((-2)\/5). Which is the third smallest value? (a) -1 (b) 0.09 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2*63\/315. Which is the nearest to 3\/2? (a) -2\/3 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62413 (base 7) to base 16.\nAnswer: -3bc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -5*n, 19*m + 23*m - 265 = 37*m - 12*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(5\/(10\/(-4))). Is v bigger than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1181209749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - f = -56, 7*f + 40 = -2*c + 19*f - 10*f for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 10*s**2 - 17*s + 91. Determine u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -3 (c) 336\/61 (d) 108 (e) 0 (f) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19\/46 (b) -2\/19 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acla when four letters picked without replacement from {a: 5, l: 6, c: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26\/307 - 432\/2149. Which is the nearest to -51? (a) -0.5 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7971839?\nAnswer: 1\/7971839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -7*r + 8. Suppose r*j + 9 = -2*u + 741, u = 4. Calculate the remainder when j is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20111 - 1?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2775652 (base 8) to base 9.\nAnswer: -1426230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3465076*p - 14232237.\nAnswer: 3465076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -11. Let c = 10 - q. Let y = c + -2.5. Which is bigger: y or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582666?\nAnswer: 2, 17, 46549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4661077+-2\nAnswer: -1.5338923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.96 - 0.001915?\nAnswer: 12.958085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9643.026km in millimeters?\nAnswer: 9643026000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 + 1 + 4)*(0 + 1 - 3)*(1 + 2 - 5) + (2 + 2 - 5)*(2 - 2 + 3) - 1 - 3 + 2)*(4*y - 2*y - 4*y).\nAnswer: -94*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -482 divided by 2\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 75 = 37*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + t - 18 = 27, -4*w = -4*t - 60. Suppose w*o - 21*o = -g - 268, -o = -2*g - 273. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32746801 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 968259.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + (-33)\/6)\/(-3). What is the fourth biggest value in 7\/3, -3\/5, x, 0.02?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshmrmhhhhrrsmcksrm. What is prob of picking 1 s and 1 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8845)\/(-145))\/(-3*(-8)\/(-24)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00122191 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37044433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 100*c**2 - 50*c. Let r(y) = y. Calculate m(b) + 50*r(b).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8254 to two decimal places.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82553*f + 82553*f - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/7 - 76*m**2\/7 - 712*m\/7 - 1104\/7 = 0.\nAnswer: -6, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 97648 (base 11) to base 5\nAnswer: 14014424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 97 - (205 + -203 + 12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.517 - -21.917. What is the second smallest value in -0.1, 3, -2\/19, k, 6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120401, 240489, 360577, 480665, 600753, 720841?\n\"Answer: 120088*q + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j + 22*j - d + 7, 18*d = 3*j + 51 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -42. Suppose 0 = -s*n - 0*n + 25. Suppose 5*a = -2*t + 213, n*a + 515 = 8*t - 3*t. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.089265us in hours?\nAnswer: 0.0000000066914625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.45764 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/((-2)\/(-60)). Let z = 37\/2 - g. What is the smallest value in -4, 2\/7, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-2\/5))\/(o**5\/o)*(o*o**3)\/(o*(o**(-1\/5)*o)\/o)*((o\/(o**(1\/3)\/o))\/o)\/o**(-1\/2)*o**(6\/19) assuming o is positive.\nAnswer: o**(1301\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*y - 34*y**4 - y**4 - 11*y - 1 wrt y.\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, 1 in decreasing order.\nAnswer: 5, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) -38 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 15 = -0*k, -4*k - 360 = 5*i. Let r = i + 162. Suppose 5*f + r = 4*n, 3*f = 3*n + 4*f - 80. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(59\/((-12036)\/119))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-18)\/4) - ((-473)\/(-99) - 21). Solve 0*d - 2*d + i = -5*s, -4*d + 14 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*t + 2*n, -4*n = -2*t - 3*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:45 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -76\/11443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9979248?\nAnswer: 2, 3, 29, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 626, 682, 718, 728, 706?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s = -5*n - 50*s + 212508, -2*s = -2*n + 84996. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:03 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -3. Let t = -2 - k. Let m(j) = t*j + 3*j - 4*j. Let q(y) = -y. Calculate q(m(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 13165, -6, 1 in descending order.\nAnswer: 13165, 9, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*o - 294. Calculate the remainder when o is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/17 + 56\/17*h**2 - 30\/17*h = 0. Calculate h.\nAnswer: 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1. Let i(h) = -h**3 - h**2 + 2*h - 3. Let f = 1319 - 1320. Give f*i(q) + 3*z(q).\nAnswer: q**3 + q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -60342 from 0.2.\nAnswer: 60342.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16333, -18466, -20599, -22732, -24865?\nAnswer: -26998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*o - 3*o + 2432 = 0, u = 4*o - 593. Let l = -546 - u. Calculate the lowest common multiple of 28 and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - (8 + -10)) + (-47 - -27).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111928657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1753)\/2)\/(18 - 981\/54).\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 52. Let k(o) = 2*o**3 - 6*o**2 + 4*o - 12. What is the tens digit of k(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 21*y - 68. Determine l(-25).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i + 10 = 0. Find the third derivative of -5*d**2 + 2*d**6 + 0*d**2 + 4*d**i wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.016 in -906, -1, -4\/3, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -59. Let w = -24.529440551 + 0.529441101. Let j = w + h. Round j to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 193, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 19260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h - 27. Let a(p) = -14*p + 40. What is -5*a(w) - 8*t(w)?\nAnswer: -10*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1831\/312 + -29\/39. Calculate the common denominator of 85\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919*o - 928*o + 3 - 3.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*j + 0*j - 1190 = 0, 4*j + 20 = 0. Let h = o + -237. Solve -a = 8 - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 48*u**3 - 4*u**2.\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003744 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 6*b + 5. Let s be v(-6). Let x(i) = 6*i - 7. Let q be x(s). What is the highest common factor of 69 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492 by -108.\nAnswer: -41\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-4)\/(-84)*-2)*1. Let y be 23 + 2 - (0 - -1). Let z = j + y. Solve p - 4*i = 16, 2*i = p - z - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 0*s - 6*s + 12*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + b + 3*b + 111 = 0, 0 = -a - b + 15. Suppose -522 = -22*y - 104. Suppose -9*d + y = -17. Solve -k + 3*u = -u - 8, d*k + u = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41*(-16)\/48*-9)\/((-3)\/2).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {u: 1, b: 3, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46187 - 46187 + 9976*c to the form d*c + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 50*l + 2 - 64*l - 4*l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653088228.\nAnswer: 2, 3, 103, 328397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxlxxcjlcslllhx. What is prob of sequence jlhx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y**2 - 20\/3*y**3 + 3*y**4 + 20 + 0*y. Find the third derivative of n(j) wrt j.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9)\/n**2*(n\/(n\/((n\/(n*n**(-1))*n*n*n)\/n*n)*n))\/n**(-4\/5) assuming n is positive.\nAnswer: n**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajnqqtax. Give prob of sequence aj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 2*k + 1. Let t be o(2). Let l = -12 - -17. Suppose 46 = 3*m - v, 2*v + 13 + 63 = l*m. Solve 4*y + 20 = -t*f, 2*f - m = 4*y + 6*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963253 is divided by 43780?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 - -0.03. Which is the third biggest value? (a) 1\/6 (b) -2571 (c) -2\/5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*k - 15, -k + 3*u = -4*k + 30. Let z be -1 - -145 - (3 - k)\/(-1). Let l = 223 - z. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*w)*(-7*w - 2*w - 22*w).\nAnswer: 93*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d**(-2\/37))\/d)\/(d*d\/(d*d**(-25)*d))*(d**(4\/23)*d)\/(d\/d**(-19)) assuming d is positive.\nAnswer: d**(-35640\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27937 is divided by 6966.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122102*j + 2*v - 25 = -122099*j, -13*j + 8*j = 5*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let r = -5 + 9. Suppose 3*f - 21 = 3*q, 2*q + r = -0*q. Let s = 4234\/5 - 843. Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -38*d + 42*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**26*g\/(g*g*g**(-31))*g*g*g\/(g\/g**(14\/3))*g**30)**(1\/5) assuming g is positive.\nAnswer: g**(281\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 159*d + 158. Let q(l) = -l**2 + l + 1. Let w(m) = a(m) - q(m). Let w(f) = 0. What is f?\nAnswer: -157, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127+-0.054\nAnswer: 126.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48.14474 and -6693100.\nAnswer: -6693148.14474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2235*y**2 + 3*y + 366 + 29*y**3 - 2233*y**2 - 367 as b*y**2 + j*y + m*y**3 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Suppose i = -5*j, -4*k + 7 = -5*j - 10. Find the second derivative of 2*c**2 + 3*c**2 - 6*c**2 - 5*c - k*c**2 wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -423 + 413, -5*z - 5*b = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*m = 196*m - 140. Suppose 0 = 5*o - 3*h - 35, -o + 1 + m = -5*h. Solve 23 - 3 = o*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 2)*-5 - (5*sqrt(1300) - sqrt(1300))*4 - 5*(4 + 1*sqrt(1300))*6)**2.\nAnswer: 132600*sqrt(13) + 3398200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 70*i + 121 - 785*i - 121 - 379*i. Let h(f) = f. Give h(y(u)).\nAnswer: -1094*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92562248 less than 1.08?\nAnswer: -92562246.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211868821 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2 and 33\/179518?\nAnswer: 179518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10126 and 2196?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10.6*0.3\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.2 - -67.82. Let p = 4.28 + q. What is the closest to 0.2 in 4, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -28274384037.\nAnswer: 28274384041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113735 and 3703.\nAnswer: 796145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111101221100 (base 3) in base 12?\nAnswer: 53b953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 6 + 6)*(-111*p**2 - 32*p**3 + 111*p**2)*(p + 2*p + 2*p).\nAnswer: -5760*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c - 14 = 89*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-25)\/2055) + -1*2. Suppose 4*g - z = -5*q, 5*q = 6*g - 2*g - 359. Suppose -3*m = 4*x + g, 3*m = 2*m + 4. Is x at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 35*f + 1. Let u(t) = 11*t - 1. Let v(y) = -q(y) + 2*u(y). Let l be (-9)\/9 - (-1)\/(-1). What is v(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11096523 to the nearest one thousand.\nAnswer: 11097000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*(-21)\/(-28)*-5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 9, k: 7}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k + 135. Suppose 3*x = 3*n - 7*n + k, 5*x - 31 = -2*n. Solve n*s - 15 = -0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91.44972l?\nAnswer: 91449.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 2*g - g + (3 - 4 - 1)*(-6*g + 14*g + 10*g) - g - 2*g - 2*g.\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**5\/60 + 9*i**3 + 131. Let j(c) be the third derivative of s(c). Let r(b) = 165*b + 2. Give r(j(o)).\nAnswer: -330*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(-8)\/(-6). Let f(z) = -z + 4. What is the remainder when 7 is divided by f(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 8) to base 14\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 43. Let j be x(-39). Let g = j - 72. Solve -g*q - 5 = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63100 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1216) + 4*-2*sqrt(1216)))**2 - ((sqrt(1216) - -1*(sqrt(1216) + 4)) + 2).\nAnswer: -16*sqrt(19) + 536250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 88 = 0. Let p(z) = 14*z**2 - 3*z - 3. Suppose 3*s = -4 - 5. Let i be p(s). Calculate the highest common divisor of i and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/51)\/v**(-1\/4)*v**2\/(v*v**12*v))**28 assuming v is positive.\nAnswer: v**(-16723\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 10 - (-2)\/2. Let c(x) be the first derivative of -13*x**2 - 5*x + 17. Let z(p) = 5*p + 1. Give h*z(m) - 2*c(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 25. List the prime factors of n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -41. What is the third smallest value in f, -2\/9, -3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/345*9*(-2)\/30*10\/12.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**5 + 139396*o**6 + 2*o**3 - o**4 + 2*o**4 - 141148*o**6 + 7291*o**2 + 4*o**5 wrt o.\nAnswer: -210240*o**3 + 24*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:26 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + 2 + (-58 - 3)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 2 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:05 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - -151155313?\nAnswer: 151155204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.18, 14, 0?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 15. Let b(z) = z**3 + 2*z - 1. Let h(c) be the first derivative of c**4 + 7\/2*c**2 + 0*c**3 - 4*c + 26. Determine f*b(a) - 2*h(a).\nAnswer: -a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*m + 103*m - 76*m - 121*m to h*m + g and give h.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-10\/7))**48\/((a*a*a\/(a*a**(-1\/14)*a))\/(a\/(a*(a**(2\/25)*a*a*a)\/a))))**(-8) assuming a is positive.\nAnswer: a**(100412\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 3*r**4\/4 + 22*r**3\/3 + 4*r**2 + 8*r + 16. Let j be z(-7). Solve -2*o + j = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -49, -106, -175, -250, -325, -394, -451?\n\"Answer: n**3 - 15*n**2 - n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-23)\/((-219535)\/115))*9\/(-6)?\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d)*(6*d - 4*d - 4*d) + 4*d**2 - 70 + 70 + 3*d**2 + 3*d**2 - 4*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 250512\/858 + (-2)\/13. Let m = 292 - n. Which is the closest to 1? (a) m (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2. Suppose -3*h + q + 94 = 0, -3*h - 3*q + 92 = -10. Let p(v) = h - 38*v - 67 + 35. Determine p(r(y)).\nAnswer: 76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -638051283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3409, 7, 4 in increasing order.\nAnswer: 4, 7, 3409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/(-25) - -1) + (-1258)\/15725.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f. Let v = -35 - -49. What is the remainder when v is divided by d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 8*j**2 - j - 14. Suppose 0 = d + 6*d - 42. What are the prime factors of r(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 23*f**2 - 20*f - 1. Let k(r) = 14*r. What is w(k(s))?\nAnswer: 4508*s**2 - 280*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68780658 to the power of 1\/2, to the nearest integer?\nAnswer: 8293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 8 - 4. Suppose 5*x + 76 - 629 = w, -u*x - 2*w = -448. Suppose 7*v = 225 + x. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1200)\/112 - 30*6\/(-1 + -17).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*h + 47*h + 10*h + ((2 - 4 + 1)*(1 - 4 + 0) + 0 + 0 + 4 + 12 - 9 - 5)*(-4*h + 4*h - h).\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 164219*t - 1970334. What is u(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119891\/724163 + 78\/473. Let k = a - 1397\/205154. Are 2\/7 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, u: 1, k: 1, z: 1, j: 3, t: 1}. Give prob of sequence ku.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 114*n - 4328. Calculate f(38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1009345 - -1009290.0033. Let j = -55 - l. Round j to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182 + 0)*9664\/(-33824).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2056)\/(-7) - -1*16\/56)*6 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-33 - (0 - 32))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -24*f - 17. Let q be t(-8). Calculate the highest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*k + 1497 = -3153 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 41. Suppose 4*s + 15 = 9*s. Suppose 0*t + 36 = 3*t + 2*x, s*t - f = 5*x. Calculate the remainder when 28 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 9*m - 4*m = 100, -m = 2*o - 92. Let s(h) = -3*h**3 + h**2 - 4*h - 4. Let v be s(-3). Let k = v - o. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 5*g**2 + 6*g + 6. Let z be w(6). Let p = 219 + -169. Let i = p + -47. Solve z = 4*c + 2*t, c - 5*t + i = -t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -30*m**4 - 34*m**3 + 26*m**2 + 34*m + 4 = 0?\nAnswer: -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {t: 1, m: 1, e: 1, b: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 3*f**2 - 3*f + 1. Let l be p(2). Do l and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-15)\/(-6) + -1). Let y be l*(-4)\/(16\/6). Suppose -4*h - 1 = -y*h. Which is greater: h or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -0.351?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**7*(s**(2\/5))**23)**24 assuming s is positive.\nAnswer: s**(1944\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*f**2 - 120*f**2 - 192*f**2)*(0 + 0 + f).\nAnswer: -275*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7274267089 rounded to the nearest 100000?\nAnswer: -7274300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52 * 3138.354\nAnswer: -163194.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 171914 in decreasing order.\nAnswer: 171914, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/15 + 16*z**4\/15 - 2*z**3\/5 - 64*z**2\/15 + 56*z\/15 = 0.\nAnswer: -2, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = 0. Let s be (g - (-2 + 1))*0. Solve -2*c + c - 3 = s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 - 170 = -5*z, -2*o = -3*z + 86. Is (194\/4)\/(15\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 2 - 6*g**2 + 5*g**2 + 82*g - 2.\nAnswer: -g**2 + 91*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -17*c - 4. Let u(b) = 15*b + 2. Let a(y) = -4*p(y) - 5*u(y). Calculate the lowest common multiple of a(-2) and 162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.21 - 0.14. Let s = -3.15 - j. Let d = -7.8 - s. Which is the third biggest value? (a) -0.1 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.117 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2203 (base 8) to base 16\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65434435 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 + 0 + 4 + -9 + 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(2\/11))\/(s**(4\/3)\/s))\/(s\/(s**(-2)\/s))**37)**15)**(-22) assuming s is positive.\nAnswer: s**48680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 7. Let r be w(11). Suppose -4*t = 2*s - t + 47, -r*t = 5*s + 100. Let d = -14 - s. Solve 3*x = -d*u - 9, -12 = -u + 5*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 60. Solve -n*u + 5*u - 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7526 + 27*s**2 - s - 99*s**2 + 7547)*(-1 + s**2 + 1).\nAnswer: -72*s**4 - s**3 + 21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187652899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39983*k**6*r + 16*k**4*r - 6*k**2*r - 229119*k*r wrt k?\nAnswer: -4797960*k**3*r + 384*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0 + 11\/2*q**3 + 0*q + 1\/3*q**4 - 3*q**2. Find the first derivative of b(o) wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 41*f**2 - 27*f + 7. Let y be c(13). Let l(z) = z**3 + 5*z**2 - 6*z. Give l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/18)\/(1\/453). Let a = -1217\/24 + v. What is the second smallest value in 2, a, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12978, -25963, -38952, -51945, -64942, -77943?\nAnswer: -90948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973423 rounded to the nearest ten thousand?\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 852888.9 * -0.4\nAnswer: -341155.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(18)\/(sqrt(30)\/sqrt(5)) - sqrt(3)*-4*-4 - ((sqrt(27)\/sqrt(36) - (sqrt(12) + 3))**2 + -3)))*3.\nAnswer: -72*sqrt(3) - 105\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67239040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155984 divided by -6.\nAnswer: 77992\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(3*r**2 + r**2 - 2*r**2) + 2 - 2 + 3*r**2 + 4*r**2 + 0*r**2 - r**2 + (5 - 6*r - 5)*(-4*r - r + 3*r).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189357 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 91. Suppose 5 = q - 0*h - x*h, -5*h - 17 = 2*q. Sort -2, q, 10.\nAnswer: -2, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)*v**(-2\/3) assuming v is positive.\nAnswer: v**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 5. Let p be u(4). Suppose 4*s - 39 = -p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)*(8 - 4). Suppose 0 = i*m - 0*m + 80. What is the units digit of (-5)\/m - (-14)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14916)\/88 - -166)*(-8)\/(-350)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 414, -7, -2, 21, 4.\nAnswer: -21, -7, -2, 4, 21, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -5*r**8\/176 + 19*r**7\/210 - 109*r**6\/1320 - r**5\/660 + r**4\/44 + 5*r**2 + 19*r. Find y such that g(y) = 0.\nAnswer: -1\/5, 0, 1\/3, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2016364, 4032716, 6049068, 8065420, 10081772?\n\"Answer: 2016352*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:48 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3)*k**8)\/(((k\/(k\/(k*(k\/k**(-1))\/k*k)))\/k)\/k**(1\/11)))**33 assuming k is positive.\nAnswer: k**223","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 4*p - 2. Suppose 0 = -3*o + 7*o + 8. Let y be i(o). Factor 5\/3*x**3 + 0 + 3*x**5 - 16\/3*x**4 + 2\/3*x**y + 0*x.\nAnswer: x**2*(x - 1)**2*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -400, -844, -1428, -2134, -2944, -3840, -4804?\nAnswer: -5818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*1)*4 - sqrt(170) - (3*sqrt(170)*-6 + sqrt(170)))\/((sqrt(3240)*2)\/(sqrt(4) + (sqrt(4) - 5*(sqrt(4) - sqrt(36))) + sqrt(4))).\nAnswer: 52*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -453 - -0.1248029719.\nAnswer: -452.8751970281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-8 - 5) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-14)\/(-8) + 258\/(-24). Let t be 7 + h - (1 + -11). Let c be (2\/6 + -2)\/((-1)\/21). Calculate the highest common divisor of t and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/(y**(17\/3)\/y) assuming y is positive.\nAnswer: y**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 + 2.8. Let g = 2.69989 + f. What is g rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 7, 5, 0, -5, 13 in descending order.\nAnswer: 13, 7, 5, 0, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6417082 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4 - 2. Let f = 6 - k. Find r such that -5\/4*r**3 + 1\/2*r**2 + 0*r + 0 + 3\/4*r**f = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 150*k**2 - 3*k - 20. Let a be x(-75). Sort 5, 4, a.\nAnswer: 4, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/360 - s**5\/15 - s**4\/2 - 41*s**3\/6 - 24*s**2. Let m(f) be the first derivative of u(f). Solve m(t) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + a + 55 - 20 + a in the form i + d*a and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 904910 * 0.2.\nAnswer: 180982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 95. Let s(d) = -5*d**3 - 14*d**2 - 11*d - 12. Let o be s(-5). Let a be (-9)\/12 - o*(-4)\/32. Is j smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.22, -2, -0.1, -0.3, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115580 + 176020. What is the ten thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 22139?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 0*l + l + (-3*l + 4*l - 2*l)*(-5 + 1 + 2) + 3*l - 3*l - 8*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113569088 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18982 + -18961. What is the remainder when 72 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -4907521659195.1.\nAnswer: -4907521659194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -38*v - 188. What is the least common multiple of 260 and w(-5)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, v: 4}. What is prob of sequence vn?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4*(-21)\/140 - (-40510)\/(-67600) and -20\/7.\nAnswer: 9464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + -0.1. Let j = 1.2 + f. Which is the nearest to 2\/5? (a) -0.3 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 + 37*z - 287. What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 5:05 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.17335 millimeters to kilometers.\nAnswer: 0.00001117335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15*p - 14*p + 12 = -3*p, 0 = -4*w - 11*p - 33 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 13*s - 5*s + 17*s)*(-941 - 169*s + 941).\nAnswer: 169*s**2 + 1014*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let y be 69\/9 + (-10)\/15. Suppose 0 = -p*a + 67 - y. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 65 = -2*b + 81, -7*z + b - 32 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-5))\/((-14)\/175*780\/(-416)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-52) - (-15)\/4. Let k(m) be the first derivative of 0*m**2 + 1 + 0*m - 1\/2*m**p - 1\/5*m**5 - 1\/3*m**3. Solve k(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269618255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 917. Let q(a) = 38*a. Give q(f(z)).\nAnswer: -38*z**2 - 34846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from dewewdimiddeewwwiiii.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 + 15?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {e: 3, a: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.644 * 159.\nAnswer: -102.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244311760.8731884 + -50.8731884. Let t = -244311686.9999426 + i. Let r = t - 23. What is r rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02546985 to five dps.\nAnswer: 0.02547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 90989395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 2474568?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/3643 + -251291\/138434. Calculate the common denominator of 27\/34 and s.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 475368525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)\/p**(2\/45))\/((p\/(p**1*p))\/p)**13)**(-5) assuming p is positive.\nAnswer: p**(-2291\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5994 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-7)\/(-35)*-5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -616*b**3*n + 155421*b**3 - 119*b**2*n**4 with respect to n.\nAnswer: -616*b**3 - 476*b**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*v + 2)*(0*v**3 - v**3 + 2*v**3) - 30129*v - 243*v**4 + 30129*v to m*v**4 + l*v**2 + q*v**3 + s + w*v and give m.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-30))\/(z**(-30)*z) assuming z is positive.\nAnswer: z**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79849 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96956683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*b**(-1\/8)\/b)\/b)**(-1\/44))**(-40)\/((b**(-3)*b\/b**7)\/(b**2\/(b**0\/b*b))) assuming b is positive.\nAnswer: b**(519\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 - 3*o + 4. Let i be x(3). Let j be (2 - 1)*(0 - i). Suppose j = -0*n - n. Sort n, -3, -1.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*u**3 + 2*u**2 + 3 + 3*u**2 - 4 - u + 4*u**2 + 3*u**4 - 21*u**3 to c*u**3 + j*u**2 + x*u**4 + o + l*u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 471 in 2, -2\/29, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 17709500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -297806 + -88\nAnswer: -297894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y + 2. Let a be i(-1). Let b(g) = -3*g + 5*g + a*g. Let c(m) = 2*m. What is b(c(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 plus 83?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaammmmmamamaa. What is prob of sequence ama?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, -68, 2, 32, -3 in descending order.\nAnswer: 37, 32, 2, -3, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15141, 15151, 15187, 15261, 15385, 15571?\n\"Answer: 2*v**3 + v**2 - 7*v + 15145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304 - 302. Let w(j) = -66 - 5*j**p + 2*j + 5*j**3 + 4*j**2 + 63. Determine w(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, i: 6, y: 1, m: 5}. Give prob of picking 1 i and 2 m.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxgxxxgxxqxxxx. What is prob of sequence qgxg?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 15*s + 10. Suppose -5 = 3*z + 2*z, -2*z - 66 = 4*l. Let f = l + 3. List the prime factors of t(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = -6*q. Let y = -8 - -14. Suppose 3*r + b - 216 = q, y = -b + 3*b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3718 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73920487 - 4*j + 73920487.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 17*x**2 - 4*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b. Let g(o) = 37*o**2 + 28*o - 34. Let j(u) = -49*u**2 - 36*u + 44. Let h(p) = -9*g(p) - 7*j(p). Calculate z(h(l)).\nAnswer: -150*l**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 18 = t, -5*j - 77 - 249 = -14*t. What is the third biggest value in 0.1, -5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-74*h + 4*h**2 + 74*h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 43371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8313 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*l**2*y**3 - 7*l**2*y**2 - 2*l**2 - 13*l*y**4 - 2*l*y - 804*y**4 - 212 wrt y.\nAnswer: 780*l**2 - 312*l*y - 19296*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20)*1)\/(1\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {b: 1, d: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 0 + 3\/5*a**3 + 4\/5*a**2 - 4\/5*a + 1\/5*a**5 - 4\/5*a**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -41*d - 48. Give c(3).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17\/4 + -19\/4. Let m = 2 + -1. Sort 0.3, m, l in descending order.\nAnswer: m, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 1:31 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 6*w + 3. Let k be i(-6). Suppose 2*a - 23 + 15 = 0. Find the second derivative of k*l + l**a + 2*l**4 - l wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*48\/(-36). What is the smallest value in q, -0.1, 4\/9, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*26 + -4*24\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 + -371 - (0 + -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 1:45 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76.44 - -76.7. Sort -1\/5, r, -0.5 in decreasing order.\nAnswer: r, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.7794 and -58.\nAnswer: -67.7794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 - 59 = 0. Let x = g + -16. Suppose -2*m + 53 + x = 0. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/29)*o*o\/(o\/o**(3\/8))*o*o)\/(o**(-4\/5)\/o)**36)**(10\/13) assuming o is positive.\nAnswer: o**(79123\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39051644.85546 minus -0.5?\nAnswer: 39051645.35546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f + 20. Suppose a - 2*g = -266, -5*a + 2*g = -3*a + 536. Let h = a + 259. Let r(n) = 3*n + 4. Give h*r(s) + 2*o(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3 + 3. Suppose 3*v - l + 62 = q, v - 2*v - l - 18 = 0. What are the prime factors of -4*(-3)\/48 - 3015\/v?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2842c (base 13) to base 14\nAnswer: 1d6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6\/5)\/(763\/385 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*n + 190044 + 478106. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.45027 millimeters in nanometers?\nAnswer: 88450270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-35)\/42))\/(1\/(-5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, s: 5, d: 8}. Give prob of picking 1 d and 1 s.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 1\/12*i**5 + 1\/120*i**6 + 3*i**2 + 0*i**4 + 0 + 0*i - 1\/2*i**3. What are the prime factors of n(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 37*a + 3*a as j*a + s and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 725 by -5.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-96961.9.\nAnswer: 58177.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from sksksikssstsksi?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -169\/28 (b) 0.5 (c) 0.2 (d) 614\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6671 in -1, 6, 7, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*a**6*v + 3991*a**5 + 2*a**2*v - 3*a**2 + 2*a*v - 42*a + 2 wrt a?\nAnswer: 5520*a**3*v + 239460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.61*-84\nAnswer: -51.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**4 + i**4 + 116*i**4 + (5*i + 2*i - 6*i)*(4*i + 2*i**3 - 4*i).\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2 = 2*j, 15531*j + 17 = 15548*j + 4*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -22339 >= -22338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10201202101 (base 3) to base 10\nAnswer: 73450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 5, i: 1, p: 1, v: 1, z: 2}. What is prob of sequence zr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2548.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89512 = -19*h + 5*h - 9096. What is the greatest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -212, 779, 2440, 4777, 7796, 11503, 15904?\n\"Answer: t**3 + 329*t**2 - 3*t - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693 + 2.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e59c (base 16) to base 12.\nAnswer: -135878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -1000101101010100?\nAnswer: -1000101110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1148606 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Suppose n*t - 4*r - 14 = -2*t, 3*t + 2*r - 4 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*x + 68*x + 24752. Let r = x + 761. Let z be (-2)\/(-8) + 270\/8. Is z >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**4\/24 + 2*w**3\/3 + 2*w**2. Let c(i) = -i + 5. Let s be c(8). Determine o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 5*s + 5*s)*(-s + 3*s + 0*s)*(0*s + 10*s - 2*s) to j*s + g*s**3 + t*s**2 + h and give g.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/52987 at most -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-300)\/(-125)*(-1 - -6). Solve z = -4*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*v + 6*v**3 + 252*v**5 - 207*v**5 - 107*v**4 + 106*v**4 - 296 - 6*v wrt v.\nAnswer: 900*v**3 - 12*v**2 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 - t**2 + 1. Let b = 10 - 8. Let r be l(b). Let x = -12 + r. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrwrrnnmnvnnwm. What is prob of sequence ww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 15*k + 9. What is the units digit of u(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -266. Let x(f) = 10*f - 6. Calculate the remainder when x(7) is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -1, -3\/137 in decreasing order.\nAnswer: -3\/137, -1, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*m**3 - 327879*m**2 + 255972*m + 2 wrt m?\nAnswer: 78*m - 655758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(7\/4)*t**(-1\/18))\/(t**(-2))**(-4\/5) assuming t is positive.\nAnswer: t**(17\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.6999136 + 20.7. Round x to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t**3 + 5*t**2 - 11. Let u be 2*(-3)\/(-2) + 1. Suppose -3*x + 11 = -22. Let n(k) = -6*k**3 - 2*k**2 + 4. Calculate u*l(p) + x*n(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 1. Let x(o) = -o**2 - o. Let l(p) = 6*m(p) - 7*x(p). Let y be l(-6). What is the second derivative of 0*i**5 + y*i**5 + i**5 - 2*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b**2 - 60*b - 66. Calculate t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 - 3 = 0. What are the prime factors of 0 + (-2)\/x - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5712 - -5532. Which is the closest to 0.1? (a) s (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - s - 1 = 0, -2*s + 2481 = -n + 2468 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Suppose 0*d + d + 81 = -h*m, d = -4*m - 82. Let j = 159 + d. Calculate the greatest common divisor of 54 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -154 in 3, -2\/77, 3.9, 2\/7?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178285*c + 8 + 743197*c - 8.\nAnswer: 564912*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/(-2)*16\/(-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.1, 25, 1\/2, -57\/1135, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -6*x**7\/7 - 17*x**6\/6 - 25*x**3\/3 - x - 204. Find the third derivative of d(v) wrt v.\nAnswer: -720*v**3 - 1020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*f + 15, -5*w - 6*f = -2*f + 12. Suppose -5*m = -3*r + 17, -24 = 5*m - 0*r + 4*r. Let v = w - m. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, 1, -151 in decreasing order.\nAnswer: 4, 1, 0, -5, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*((sqrt(84) + (sqrt(84) - -2*sqrt(84)))*-2 - sqrt(84))\/sqrt(12).\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*(-7)\/(14\/(-20)). Suppose 10 = -o + 6*o. Let u be (-4 - 0) + o\/2. Sort -4, u, 1, m in decreasing order.\nAnswer: 1, u, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83252, 83256, 83262, 83270, 83280, 83292, 83306?\nAnswer: 83322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2267 + 2327. Suppose 0*p = p + 2. What is the smallest common multiple of (p\/5)\/((-4)\/80) and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/288*6)\/(15\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:25 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 22*k = 12*k. Let t = 0.7 + -1.2. Let c = t + -0.5. What is the third biggest value in c, 1, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-5 - -1) + 2 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 divided by 4?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 9*v**2 - 5*v**2)*(-178*v - 57*v + 70*v) in the form l*v + z*v**3 + k*v**2 + x and give z.\nAnswer: 2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 14421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41037381 by -217129.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 4, 1.\nAnswer: 1, 4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65430 + 56?\nAnswer: -65363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 2464530\nAnswer: 2464529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6258706 (base 9) in base 4?\nAnswer: -30300320202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/5 - 6*p**3 + 207*p**2\/5 - 378*p\/5 = 0. What is p?\nAnswer: 0, 3, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-81))\/((-935)\/1122). Which is the fourth smallest value? (a) k (b) 1\/2 (c) 0 (d) 0.6 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 88943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13107 + -11373. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*b + 2*b. Suppose 0 = p - 3*n - 90, -b*p + 3*n + 174 = -n. Suppose 21 - p = -3*t. Solve t = -4*h, 3*h + 16 = 3*d + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. Let d = 32.33 + -32. Let j = 3.67 + d. What is the second biggest value in z, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (-3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3)*1 + -4)*-4.\nAnswer: -4*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 959293, 958976, 958659, 958342?\n\"Answer: -317*u + 959610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173477 divided by -3691?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Let q = 24 - y. Let z = -24.096 + q. Round z to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + 161*a + 119. Let h be c(41). Let x(d) = -3*d**2. Let f(n) = n**2. What is h*f(j) + 2*x(j)?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 865 and 1173410.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*i + 63*i + 65*i + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270261 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/m**(2\/13)*m**(-1\/2)*(m*(m**6*m)\/m)\/m*m assuming m is positive.\nAnswer: m**(87\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Suppose -6*n - 2*n = -40. Determine u(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35\/298, -1, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 6*c - 4. Let f be 90\/27*(-24)\/10. Is p(f) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 178*z**2 + 2*z + 2. Let w be f(-1). Let t = -253 + w. Let a = -26 - t. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -24*x + 301. What is i(14)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 31 = -64. Factor 4*q**v - 4*q**5 - 2*q**5 - 6*q**4 - 6*q**3 - 9*q**2 + 7*q**2.\nAnswer: -2*q**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43901 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, q: 9, a: 3}. What is prob of sequence papq?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-9)\/3*(138\/(-828))\/((-2)\/(-268))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h - 119. Give l(-24).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -984*v + 209*v - 201*v to t*v + j and give t.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18568*y**2 + 8900*y - 192.\nAnswer: 4*(2*y + 1)*(2321*y - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2256 = 17*b - b. Calculate the remainder when b is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0*a + 2*a)*(406 + 103 - 40)*(2*a**2 + a**2 - 2*a**2) to b*a**3 + i*a + g + j*a**2 and give b.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/762440 and 47\/209671.\nAnswer: 8386840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 134*u + 131*u - 266*u + 52. Let g(a) = -25*a**2 + 1. Let w be g(-1). Does 14 divide p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 27*f - 88. Determine a(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/(2520375\/125)*1*6*1.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305127924.\nAnswer: 2, 3, 25427327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 5 + 15*u**3 - 42*u**3.\nAnswer: -27*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 5:38 PM?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j - 61*j + 581. What is the remainder when 3366 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3888 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, s: 2, r: 2, t: 3, q: 1, h: 3}. Give prob of picking 1 s and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 52*n - 302. Let j be f(11). Suppose -4*b - 1712 = -4*o, -2410 = -5*o - b - j. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 28*t + 3613. Let c be m(37). What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = 15. Let z(j) = 24 + x*j - 3 + 5*j - 12*j. Let p(k) = -k. Determine z(p(b)).\nAnswer: 3*b + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0427 + -0.2427. What is the nearest to z in 12, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 496, 734, 984, 1252, 1544, 1866?\n\"Answer: m**3 + 231*m + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*c - 28, 0 = 3*r - 4*c - 29474. What is the greatest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7266 + 0.2734. Sort b, -1, -0.01.\nAnswer: -1, -0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859349.\nAnswer: 17, 168197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001022 + -22221012?\nAnswer: -11212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24 + -22 - (-3 - 291\/(-57)). Let w = 24 - 24.3. Which is the second biggest value? (a) -0.5 (b) n (c) 2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {d: 1, q: 1, l: 1, u: 2, x: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16305112 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4875*d + 2322*d = -2561*d - 168 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**3 + 6*m**2 + 4*m + 2. Let r be u(-4). Suppose 0*q - q = 36. Let t = q - r. What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 251, 377, 503, 629, 755?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(3*f - f - 3*f) - 1 + f + 1.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -135, -134, -133, -132, -131?\n\"Answer: n - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - m. Suppose 9*c - 3 = 6*c. Let r(d) = -14*d**2 - 6*d. Let s(a) = c*r(a) - 12*v(a). Solve s(j) = 0 for j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-25) - (1404\/(-100))\/(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzgg when four letters picked without replacement from zggz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59cd - 5?\nAnswer: 59c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*j + 5, -149*j + k - 30 = -144*j. Does j = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3914*x**2 + 1949*x**2 + 1965*x**2 - 16 - x**3.\nAnswer: -x**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -10*h**3 + 2*h + 9*h**3 - 3*h**2 - 2*h**2 + 1 - 7*h. Let j be c(-4). Suppose 0 = -j*n + 773 + 812. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5549096 to the power of 1\/2, to the nearest integer?\nAnswer: 2356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56073, 112130, 168189, 224250, 280313, 336378, 392445?\nAnswer: 448514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.4 - -29.249. Round w to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1 - 3\/(-1). Let n = 10 - b. Suppose 3*d + 3*q - 87 - 18 = 0, -84 = -2*d + n*q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*m - m = 15, 4*c + 5*m = -41. Let j(w) = -1. Let t(u) = -u + 3. Let q be ((-2)\/3)\/((-2)\/3). Let z(s) = q*t(s) + 6*j(s). Determine z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53885 or 161654\/3?\nAnswer: 53885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from ueavavddvtaeetau?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2639*l**3 + 4*l**2 + 4*l + 2. Let t(o) = -5278*o**3 + 10*o**2 + 10*o + 5. Give -5*g(u) + 2*t(u).\nAnswer: 2639*u**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20002294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3 - 56*a + 21*a**2 + 159*a - 14 + a**3 - 87*a. Let b(s) = -4*s**2 - 3*s + 2. Let k(t) = 11*t**2 + t + 1. Let n be k(-1). Determine n*b(d) + 2*j(d).\nAnswer: 2*d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - -618. Let z = m - 437. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 0*w - 5*w + (-4*w + 2*w + 3*w)*(2 + 3 + 1) in the form x*w + c and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 123214 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 + r**2. Let q be k(1). Let d(i) = i - 23. Let a(o) = o - 22. Let v(b) = q*a(b) - 5*d(b). Let f(p) = -2*p**2. What is f(v(m))?\nAnswer: -2*m**2 + 68*m - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 712816 - 3?\nAnswer: 712813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l - 16 + 43 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1543662*z**4 - 2*z**3 - 6*z**2 + 38587?\nAnswer: 37047888*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*w = -140684, w + 7846 = -2*o - 85941. Let z be (-1)\/(-2) + o\/154. What is z rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-169)\/(-156) - 1\/12. Let s(o) = -10*o**4 + 52*o**3 - 180*o**2 - 106*o + 1000. Let x(j) = j**4 + j. Let l(y) = b*s(y) + 6*x(y). Solve l(g) = 0 for g.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5857*b + 5848*b - 72 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 7*s**2 + 2*s - 3. Let o be q(7). Let b = o - 7. Suppose -b*p = p. Which is smaller: -2\/5 or p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 40 + 39 + 66)*(-5 + 4 - 1)*(z**2 + 0*z**2 + z**2).\nAnswer: -744*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 94628 = 31490. Suppose -3*t - 2*f - 239 + k = 0, -5793 = -5*t - 2*f. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2 + 482*m - 484 = 0.\nAnswer: -242, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z**2. Let t(u) = 3*u - 5. Let s(v) be the third derivative of v**4\/3 - 7*v**3\/3 - 7*v**2. Let j(w) = -5*s(w) + 14*t(w). What is j(h(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 573279 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 92*k**2 - 117*k - 635. What are the prime factors of m(89)?\nAnswer: 5, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + -1*sqrt(102)))\/sqrt(6))**2 + 2*sqrt(272).\nAnswer: 17 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35468, 70987, 106552, 142163, 177820?\n\"Answer: 23*h**2 + 35450*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 28. Calculate d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34278496 divided by -7672.\nAnswer: -4468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 12) in base 9?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11589 divided by -220\nAnswer: 11589\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -13.03 (c) 1\/9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/13 + (-70)\/910 - (-210)\/54.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 26*i + 75. Give k(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**7\/210 + 7*s**6\/60 + 29*s**5\/60 - 11*s**4\/6 - 1205*s**2. Factor c(l).\nAnswer: l*(l - 1)*(l + 4)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 93*m**2 - 84*m**2 + 23*m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:15 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120021 (base 3) to base 13.\nAnswer: 69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 6. Let f(k) = 2. Let a(y) = -6*f(y) + 2*z(y). Let c(j) be the first derivative of -11*j**2\/2 + 66. Calculate a(c(n)).\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - (1 - 4) - (6 + (-37 - -13)))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 158 - 592 + 6*o + 86 + 200.\nAnswer: 6*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1485\/22)\/((-62)\/((-1488)\/36))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) -5 (c) -558 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.115? (a) 6\/11 (b) -1\/4 (c) 5 (d) 21 (e) 112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 259942919 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2445*u**3 + 7*u**2 - 14. Let d(m) = 2449*m**3 + 6*m**2 - 12. Determine -7*d(o) + 6*p(o).\nAnswer: -2473*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -206 (base 10) to base 5\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 64313510.\nAnswer: 3\/12862702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76940 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a8 - -8?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 7*k - 2*k - 10, -2 = -4*d - k. Suppose d = -10*p + 34 + 66. Solve -3*u - 2*u = -2*z - 24, -5*u = 5*z - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/26*(104\/(-20))\/((-30)\/75)*18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27791 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-7)*(-8)\/112.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-8))\/((9\/(-16))\/((-27)\/(-36))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) + -5)*5 - sqrt(425) - (sqrt(425) + 2)*2)*1)**2.\nAnswer: -580*sqrt(17) + 2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -189, 71, -1, 5 in ascending order.\nAnswer: -189, -1, 0, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2491868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 16840 = 5*h, -2*c + 17*h = 19*h - 8438. What is the highest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 4.04. Let n = -1 - -1. What is the second biggest value in s, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -77*z**4\/2 - 41*z**3\/3 - 159. Find the third derivative of x(t) wrt t.\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 437*c**2 + 17*c**5 - 430*c**2 - 51*c**3 + 9 - 18*c**5 wrt c?\nAnswer: -60*c**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.5 (c) -1.9882 (d) 6\/5 (e) -0.3 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 12*a + 4*z - 413, -5*z + 685 = 5*a. What is the highest common divisor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven eighths of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffgzfggzpfep. Give prob of sequence pzeg.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 807966617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:17 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j - 8*j + 10*j + 4*j - 9*j - 9*j - 5*j + 5*j + 2*j - 3*j + 2*j + 2*j + (0 + 5 - 2)*(3 - 2*j - 3))*(4 - 4 + j**2).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 12\/5, 2333\/3?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 690*d + 330*d + 470*d + 163*d - 93*d as g + n*d and give n.\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 0 (c) -1\/6 (d) 624398 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*5\/20 - (-80)\/(-28)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -93060, -93060, -93058, -93054, -93048, -93040?\n\"Answer: x**2 - 3*x - 93058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*j - 200, 0*y + 2*y + 205 = -5*j. Let v = 12 + -50. Let c = v - y. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -207901314*a**2 - 147309203?\nAnswer: -415802628*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 3*n. Suppose -2*y + 3*y = -5*h + 12, 2*y = -2*h + 8. Let o(t) = -15*t. Let k be o(-1). Solve n = -h*s - s - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-104)\/10)\/((-22)\/55). Suppose 6*n = n - 2*c + h, -5*c = -5*n + 5. Let v be (15 - 7) + n\/(-1). Calculate the highest common factor of 28 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/5 + 1154*f**3\/5 - 46508*f**2\/5 - 218504*f\/5 + 613824\/5 = 0.\nAnswer: -6, 2, 46, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/20*850\/510)\/(-1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(3)*1)**2 - sqrt(3))*-5.\nAnswer: -60 - 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {u: 4, d: 1, r: 1, b: 3, v: 4, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -2, -550419 in decreasing order.\nAnswer: 2.7, -2, -550419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-8) + (-218)\/(-8). Let x = 31 - h. Suppose -x*r + 201 = 36. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 11:03 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9. Suppose z - 4*z + 48 = x. Suppose 8*v = 4*v + z. Solve r + 0*r + m + 2 = 0, m - 18 = v*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -124 - 16*m**2 - 84*m + 3 + 13*m**2 - 275 = 0. What is m?\nAnswer: -22, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 5*j**2 + j + 7. Let z(i) be the third derivative of 3*i**4\/8 + i**3\/3 - 4*i**2. What is the least common multiple of m(-5) and z(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 6*b**2 - 6*b - 6. Let x(i) be the first derivative of i**3\/3 - i**2\/2 - i - 5. Let s(y) = n(y) - 6*x(y). Determine s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (233 - 52) - 194.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 226570, 226569, 226568?\n\"Answer: -f + 226571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 29\/5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -1\/270*l**5 + 7*l**2 + 0*l + 0 + 1\/108*l**4 + 2\/27*l**3. Solve g(i) = 0 for i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Let o = 24 + -16. Solve s = -r*s + o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m. Let u(q) = -8348*q**2. Calculate u(c(b)).\nAnswer: -133568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*(2 - 6) + 220\/33. Let g = 5 - 2. What is the third smallest value in -0.1, v, 0.1, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1228403?\nAnswer: -2\/1228403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*k - 145*k - 55 = 5*t + 34, -85 = 5*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 + -6) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157.6 + 184. Let q = 26 - b. What is the nearest to -1 in q, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64376*i**2*v**3 - i**2*v*y**2 - 2*i**2 + 36*i*v**3*y**2 + i*v**2*y + 31*i*v**2 + 1668*i - v**2*y**2 wrt v?\nAnswer: -386256*i**2 + 216*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12033 - -10531?\nAnswer: 23004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7136.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*q + 5. Let y be (0 - (-18)\/8)\/((-3)\/q). Which is smaller: -10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 10) - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2\/3, -2752916 in increasing order.\nAnswer: -2752916, -10, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 11*u = -8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (1 - 0 - -1). Suppose k*d + 22 = 2*x, 6*d = -x + 4*d - 5. Suppose -x*i + 14 = -1. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8815 + 9866. What is s in 7*s**2 - 18711*s + n*s - 2*s**2 = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawaaeawbbvaaae. Give prob of sequence wwe.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13213 (base 4) to base 9.\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*10\/(-75))\/((-24)\/80).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -17*g**3 - 4*g - 2 + 6*g - 48*g**3 + 21*g**3. Let c be z(2). Let s = c - -511. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - 0.02. Let q = -83\/154 + 15\/22. What is the third biggest value in s, 0, q, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)\/f)**(-41) assuming f is positive.\nAnswer: f**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*w - 36 = 250*w - 121*w. Let t(g) = 27*g - 2. Let p(v) = -1943*v + 145. Determine w*p(h) - 145*t(h).\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 8\/12)*9. Let k = p - -14. Let r = 15 - 12. Solve 5*l + r*b + 0*b - k = 0, 3*b - 2 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1537, -3066, -4595, -6124, -7653, -9182?\n\"Answer: -1529*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-18)\/(t\/(t\/(((t**(-21)\/t)\/t)\/t))) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 48*s**2 + 2443*s - 388065. Determine d(68).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2*m + 216. Give g(19).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951, -3859, -8711, -15507, -24247, -34931?\nAnswer: -47559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 294. Let y = -227 + b. Calculate the remainder when (y\/(-2) - 3)\/1 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 167395689 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 + 2*d**2 + 9*d + 8. Let r be g(-2). Let a be 17\/((-85)\/r)*3\/(-6). Solve 2 + a = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302958?\nAnswer: 2, 197, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*h + 5*n + 28, -n = 3*h - 2. Let c(u) = -4*u + 2. Calculate c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 9:11 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let a be h(-3). Let j(b) = -10*b**2 + 16*b + 16. Let i = -12 - -16. Let x(g) = g**2 - i*g**2 + 4*g + 3 + g**2 - g. Determine a*j(p) + 16*x(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/5)*d)**(7\/6) assuming d is positive.\nAnswer: d**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -2, 9.95, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/210 + 2*l**4\/21 + 5*l**3\/7 - 46*l**2. Suppose a(x) = 0. What is x?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2665103*h - 13325523. Give t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1917268, -3834777, -5752288, -7669801, -9587316, -11504833, -13422352?\n\"Answer: -x**2 - 1917506*x + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - -18. Suppose 6*b + p = -8. Let t = -2.1 - -0.1. What is the smallest value in b, t, 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.296 - -0.396. Let t = 0.12 + 9.88. Let m = k + t. Put 5\/3, m, 5 in descending order.\nAnswer: 5, 5\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssrssssrrs.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330360 divided by 27530.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 119*z**3 + 0 + 4*z**2 - 2 - 118*z**3. Let a be (-1 + 5)\/(13\/13). Suppose k + a - 1 = 0. Calculate r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31768)\/(-9) + 148\/666. Suppose 2*n = -2, -9*n - a = -3*w - 10*n. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9144695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 3. Let n = -19 + 5. Let t be 4\/n - (-115)\/35. Suppose 6*y = t*y + 12. What is f(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/14)\/((-10)\/(-140)*2\/1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 38 - 10. Suppose 11*i = a*i + 25. Solve -3*z = 2*z + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -38261451.9562.\nAnswer: -38261451.9562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 85. Let n(g) be the third derivative of -1\/120*g**6 + 0*g**7 + 2*g**2 + 0*g**h + 1\/336*g**8 + 0*g + 0*g**4 + 0*g**5 + 0. Solve n(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*b - 22 = 0, 3*a = -b + 38 - 15. Let p(v) be the first derivative of 1 + 6*v**2 - a*v**3 + 0*v + 3\/4*v**4. Factor p(w).\nAnswer: 3*w*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356 = 3*f - 3*d, -f + 12*d - 453 = 10*d. Let p be ((-369)\/f + 4\/22)\/(-5). Let z be 4\/14*(-2)\/(-4). Put z, -8, p in decreasing order.\nAnswer: z, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 - -7)*(-1 - 1). Let i be (-1)\/(3\/(-4)) + h. Factor i*n**2 + 2\/3 - 4*n.\nAnswer: 2*(2*n - 1)*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 859239035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20808 + -12315. Let s = -4305 + k. Suppose 54 - s = -6*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 532999545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*n = 7 + 1, 2 = -d + 5*n. Let t be (2 - 2)\/(-3 - d). Suppose t = 2*o - 0*o - 6. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 1)\/((-24)\/(-28)). Let x = -7\/4 + 55\/36. What is the closest to g in x, -0.2, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30134 to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -x - 3. Suppose 2*h = 3*g - 675, g + x*h - 217 = 2*h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/2 - 141*r\/2 - 225 = 0. Calculate r.\nAnswer: -3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 95 - 6*x**3 + 141 - 382.\nAnswer: -6*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 56 - 109 = -5*q, -24*q + v = -28*q + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 60*p**2 + 7*p**2)*(0*p + 0*p - 3*p).\nAnswer: 153*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 85?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (10\/(-2))\/((-5)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddddddddlddd.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -828, -1596, -2364, -3132?\n\"Answer: -768*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 + -113. What is the remainder when c is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1142 - 1149. Which is the second biggest value? (a) 2\/3 (b) q (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 7*r**2 - 8*r - 6. Let b be a(-7). Calculate the highest common divisor of b and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = k, 2*m + 3*k - k = 12. Suppose 61 = m*u + 11. Is 10 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(275)*-4) + -2.\nAnswer: -2 - sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30 + -2)*((3 - 2) + 9). List the prime factors of k + (4 + -16)\/(-4).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 5*t - 2*t + 2)*(-149 + 41 - 44 - 4 - 3 + 5 + (-4 - 1 + 7)*(3 + 7 - 1)).\nAnswer: -272*t - 272","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 4)*(-571*i**3 - 181 + 181) + 0 + 0 - 2*i**3.\nAnswer: 5137*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 261*k - 52. Is 3 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 5526. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176829?\nAnswer: 3, 58943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/3)*z**(-2\/11)*z\/(z**(-2\/5)*z)*z*(z**(-3)\/z)\/z*z**(1\/7)*z*z**3*((z*z*((z**(-1\/2)\/z)\/z)\/z)\/z)**(12\/13) assuming z is positive.\nAnswer: z**(-34234\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.134 - -3.866. Let o(w) = w**3 + 8*w**2 + 5. Let q be o(-8). Let v be ((-2)\/q)\/((-6)\/(-10)). What is the closest to -2\/7 in y, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 26, -9, -68, -157, -282?\n\"Answer: -w**3 - 3*w**2 - w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*f**2 + 1513*f**2 - 159*f**2 - 74*f**2.\nAnswer: 1643*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 5 (c) -0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 187*i**3 - 13*i**2 + 55*i - 223. List the prime factors of k(4).\nAnswer: 3, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**3*o))\/o**(-8\/9)*(o*o*(o*o\/((o\/(o*o*o\/o**(-1\/6)))\/o*o))\/o)**(-17\/7) assuming o is positive.\nAnswer: o**(-1847\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i - 3. Let h be v(-4). Let c be 6\/(-15) + h\/(-5). Suppose 8*q - c = 3*q. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42463 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491824, 491811, 491776, 491707, 491592, 491419, 491176?\nAnswer: 490851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -2\/3, -4, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5 + 9544105*d**4 - 9544090*d**3 - 19088200*d**2 = 0. Calculate d.\nAnswer: -1, 0, 2, 1908820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4939566, -9879131, -14818696?\nAnswer: -19758261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 2*v**3 + 8*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -26. Suppose 3*g = 7*g - n*a - 44, -4*g = -5*a - 48. Find the second derivative of -8*x + g*x**5 + x**5 - x**5 wrt x.\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58898?\nAnswer: 2, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1009224 and 56?\nAnswer: 7064568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877860 rounded to the nearest 10000?\nAnswer: -1880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 27 = -5*q, 4*g + 9 = -3*q + 2. Suppose w - 2 = q*l - 18, 5*l = -3*w + 22. Suppose d = -l*z + 4, 3*z = 2*d + 3 - 11. Solve z*v = v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -952\/685 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + j = -12, 2*j + 12 = 2*s. Solve 2*k = -k - d - 4, -s*d = -2*k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -51 (b) 1271 (c) -4 (d) 4 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 314*v**3 - 23892*v**2 - 463320*v + 3709152.\nAnswer: -(v - 6)*(v + 54)**2*(v + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -19. Suppose -q + 10 = -2*y + 131, -5*y + 4*q + 307 = 0. Calculate the remainder when y is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from nlxtldtttdtddbtdb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 19*r**2 - 17*r + 25. Calculate z(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -u - 20, 26 + 4 = 3*n - 4*u. Suppose 3*g = -5*p + 13 + 45, -g = -2*p - 1. Let a be (n\/(-24)*g)\/((-64)\/96). Do 1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*h + 307*h + 533 = -277*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/3)\/(3\/((-3)\/3)*(-1175)\/(-10575))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97.9 + 102.83. Let s = 0.11 + -0.18. Let y = s - v. Sort y, 0.5, -2 in increasing order.\nAnswer: y, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i**2 - 68*i + 14. Determine q(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 k when three letters picked without replacement from vzbkbozzxkxo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.585 - -483.585. Let i = 482.9602 - s. What is i rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*n - 79*n + 61 = 0. Suppose 3812 = n*y - 57*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - -0.03. Let l = -131.50258 + 131.36258026. Let r = h - l. Round r to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122872 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/120 + n**5\/12 + n**4\/4 + 7*n**3\/6 - 40*n**2 - 2. Let q be (12\/8)\/(3\/12). Give v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + -19 + 21 + 49.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -88064964.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3674963 divided by 247?\nAnswer: -3674963\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 - 590 = 17*l. Suppose 2*b - 3*b - 2 = 0. Let a be b + (-2 - -1) + 3. Solve -d - l*d = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(2\/11)*i))\/(i*i**3))**(2\/13) assuming i is positive.\nAnswer: i**(-114\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -5\/4 (b) 2 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v**3 + 5*v - 5. Let t(h) = 10*h**3 + 4*h - 4. Give 4*c(n) - 5*t(n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -0.8 (c) 4 (d) 5\/6 (e) 265\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85152 is divided by 40952.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*b - 1. Let m be ((-2)\/(-10))\/((-6)\/(-12)) - 8\/(-5). Suppose 9\/4*d - 1\/4*d**m - b = 0. Calculate d.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163257308 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1) + 1 + -2. Suppose -a = -j + 2. Solve 3*b = 3*m - 15, j*m - 18 = -b + 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517 minus 18991?\nAnswer: -19508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5 - 8*q**4 - 20*q**3 + 40*q**2 + 16*q - 32 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8 + 41*z**2 - 7*z**2 - 8 + 4 to the form g + h*z + n*z**2 and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 - 1124*d**2\/5 - 162322*d\/5 - 1227664\/5.\nAnswer: -2*(d + 8)*(d + 277)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 3619072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1326, 1328, 1330, 1332?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*s - 67. Calculate the remainder when 894 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = -2*p, -4*n + 5*p + 18 - 3 = 0. Let c be (n - (-2 - 43)) + -2. Suppose 0 = -d - 0*d + c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5006 and 4974 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1594 + -1594.268. Let s = u - 0.032. Let r = 0 + -0.2. What is the closest to 0.05 in s, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 5*v + 4*v)*(-2 - 2 + 5) + (2*v + 0*v - v)*(1 - 5 + 2).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 0*t)*(-3 - 3 + 4) + t - 6*t + 4*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187437 at most as big as 1187437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - -8978?\nAnswer: 899e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -11. Suppose -k*w + 30 = -3*w. Suppose -5*c - 2*v + 301 = 0, 4*c + 74 = w*c + 5*v. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18011)\/332)\/31*(-3)\/((-6)\/(-32))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 82 and 2298768.6?\nAnswer: 2298686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4546 + 4*g**4 - 4546 + (g**3 - 4*g + 4*g)*(3*g - 2*g - 2*g) - g**4 + g**4 + 2*g**4 - g**2 + g**4 + g**2.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6)**21 assuming y is positive.\nAnswer: y**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -40*t + 37*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6810308905 to four decimal places.\nAnswer: -0.681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 1355699 = 165561. Round p to the nearest 1000.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 13 + 9. Suppose -4*d + g*r = 10, -4*d = 2*r - 0*r + 30. What is the third smallest value in 11\/6, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -h - 59. Let c be ((h\/(-54))\/(-7))\/(2\/6). Find k such that -c - 20\/3*k**3 - 2*k**4 - 8*k**2 - 4*k = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1147*x + 573*x + 573*x. Let v(g) = 25*g**2 + 5*g. Let n(s) = -50*s**2 - 9*s. Let l(p) = 3*n(p) + 5*v(p). Give l(w(j)).\nAnswer: -25*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 22*g**2 - 5. Let r(h) be the second derivative of 11*h**4\/4 - 7*h**2\/2 + 118*h. What is 7*l(u) - 5*r(u)?\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -20, 1, -2\/7, -0.3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 125087, 125086, 125085, 125084?\n\"Answer: -v + 125088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*g + 81*g - 269*g + 557*g)*(5*g - 8*g - 10*g).\nAnswer: -5915*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v, -3*a + 0*v = 3*v - 429897. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = 7. Suppose -14 = n*v - 4*x, 0*x - 2 = -2*v - 4*x. Is ((-46)\/v)\/(6\/27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 79 - 76 = 0. Suppose 0 = -4*f + 49 + k. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 432 + -3911\/9. Let f = 20\/9 + h. Is 0.4 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -4*12\/(-16). Suppose -u = -j*u + 6. Find the common denominator of 182\/8*u\/(-14) and -61\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -137459, -276107, -414755, -553403, -692051, -830699?\n\"Answer: -138648*o + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -30*w. Let m(l) = -17*l. Let c(h) = -170*h. Let a(b) = 5*c(b) - 51*m(b). Calculate a(z(k)).\nAnswer: -510*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**3\/3 - 46*v - 3. Let r(w) = 20*w**2 + 3. Give r(l(q)).\nAnswer: 80*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1945)\/(-778))\/(2\/48*60\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*c - 3*c - c)*(-2 - 2*c + 2)*(c - 2 + 2) + 3*c**2 + 2*c**3 - 3*c**2 in the form z + h*c + f*c**3 + v*c**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7*v)\/v)\/v**(-14)*v\/v**(-2)*v**(-6\/13) assuming v is positive.\nAnswer: v**(306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l. Let y be v(0). Suppose 5*x - 251 + 21 = y. Suppose x = w - 6. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Suppose -g*c = c + 144. Let f be c\/(-10) - 3\/5. Put -2, -1, f in ascending order.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 41*a + 464. What is o(-10)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 115. Suppose h = 3*t + 2*t. What is the smallest common multiple of 13 and t?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-70)\/420)*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*x - 18, 5*x - 24 = 8*f - 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*b**5\/17 - 4146*b**4\/17 - 60888*b**3\/17 - 399040*b**2\/17 - 998400*b\/17 - 108000\/17 = 0 for b.\nAnswer: -10, -9, -6\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/12)\/((-4)\/16). Let f(z) be the first derivative of 0*z + 9*z - z**o - 6*z**2 - 18*z - 12. Let f(c) = 0. What is c?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4168 = -4*m, 1113 = 2*m - 4*i - 971. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -5 (c) -1\/18 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -1159, -1750, -2331, -2896, -3439, -3954, -4435?\nAnswer: -4876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9999.9 times 579?\nAnswer: -5789942.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**3 - 5. Let h(s) = s**3 + s. Let v(t) = 0*t - 4 - 2*t - 13*t**2 + 13*t**2 - 10*t**3. Let o(i) = 2*h(i) + v(i). What is -5*o(j) + 4*r(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -251, -374, -495, -614, -731?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 - s + 4. Let i be f(0). Let u be i - 2 - (-53 - 1). Suppose -2*p = 2*p + j - u, -2*p - 4*j + 42 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31887 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 126890912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/(-4*(-9)\/(-180))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 485593 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + 113 + (20 - 38).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 174\/(-29) - -2*4. Suppose s*i = -3*k + 1557, 0*i - 4*k = i - 781. List the prime factors of i.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 times 2167500?\nAnswer: -19507.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 1400.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673887, 1347764, 2021629, 2695476, 3369299?\nAnswer: 4043092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.7613 - 0.0387. Let c = 35 + z. Let v = c + 6. Put 1\/2, -0.3, v in increasing order.\nAnswer: -0.3, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m. Suppose -b + 2*p - 5*p + 19 = m, -5*b + 3*p + 23 = 0. Find the common denominator of b and 57\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-210))\/((-8)\/20). Let h = -0.2 + 1.2. Let p = -0.692 + 3.692. Put p, h, -2\/11, q in increasing order.\nAnswer: -2\/11, q, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378062.2 months in millennia?\nAnswer: 198.17185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 6}. What is prob of picking 1 p and 1 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3 + 7, -2*c + 6 = -3*f. Suppose c = -m - 1, 4*m - m - 22 = 5*n. Is -5 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12464233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*t - 110*t = 2, 4*m - 4*t = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137016045 a multiple of 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 876*o**2 + 6871*o - 27. Determine u(8).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/15 + 8\/15. Let u(a) = -11*a - 135. Let z be u(-11). Sort j, z, 5, -2 in increasing order.\nAnswer: z, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 4, h: 2, l: 2, u: 3, f: 1}. What is prob of picking 2 l and 1 f?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1452597507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/60*3)\/(-1 - -3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwni when four letters picked without replacement from {n: 2, v: 3, p: 1, i: 1, j: 3, w: 5}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:17 PM?\nAnswer: 633","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -5*v**8\/8 + v**4\/6 + v**3\/3 - 44*v + 2. Find the third derivative of o(r) wrt r.\nAnswer: -4200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -17. Let q be 16\/(-40)*(1 + 0 - (-51)\/(-36)). Which is the nearest to 0? (a) v (b) -119 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3384*c**2 + 1178*c**3 + 3441*c**2 - 6825*c**2.\nAnswer: 1178*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -330\/59, 1\/6, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 - 10*v**2 - 6*v + 1. Let j(r) = -22*r**3 - 39*r**2 - 22*r + 6. Let z(x) = 2*j(x) - 9*q(x). Give z(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5846 = 740*m + 14243 - 4549 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -967*h + 969*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from mim.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 18.3. Suppose 15*i - 70*i + 33*i = 44. Which is the closest to -1? (a) u (b) -4.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 8*c - 2. Let i be p(-6). Suppose -4*f = -3*x - 54 + 5, 5*f = 5*x + 65. What is the highest common factor of f and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 0*s**2 + s**2 + 1 - 6. Let r be k(4). What is the derivative of -2 + 0*i**4 - i**4 + r*i**4 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 16 = 5*k + 9, 2*k - 2*j + 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -0.2 (c) -0.9 (d) -0.1 (e) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/12191, -0.02717, -4 in decreasing order.\nAnswer: -2\/12191, -0.02717, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 8. Let f(p) = p**3 - 11*p**2 - 11*p - 1. Let k be f(12). Suppose -5*x + k = -24. Do n and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (278\/(-5995))\/((-3)\/(-6)) + (-2)\/(-22). Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13132*r - 3824 + 3819 + 510*r.\nAnswer: -12622*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8619246?\nAnswer: 2, 3, 103, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2067 and -73\/157092?\nAnswer: 157092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4683632, 9366973, 14050316, 18733661, 23417008, 28100357, 32783708?\n\"Answer: f**2 + 4683338*f + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/7*w**5 + 10\/7*w**4 + 12\/7*w**3 + 0*w + 0*w**2 = 0. What is w?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84313 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 8*n**2 - 8*n + 13. Let r(c) = c**3 - 70*c**2 - 215*c + 72. Calculate the remainder when r(73) is divided by t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*l - 0*l - 25, 0 = -3*i + l + 9. Suppose d + 2*d - i*j - 33 = 0, -3*j = 0. Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 11:08 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*t - 15, -2*w - t = 2*w - 5. Suppose -4*s + 2*s + 2*l + 56 = 0, -s - 4*l + 23 = w. Let g = s - 13. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95430 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 0.111\nAnswer: -1.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6062421736803*a**2\/4 + 46911183*a\/2 - 363\/4 = 0. What is a?\nAnswer: 11\/1421551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from vdeevedeeeeeeeedeeee?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/71? (a) 1\/4 (b) 1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from kwmksskmmmmnmkkmkn.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 297 = i - 4*c + 235, -2*i - 174 = 32*c for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/11))\/z)\/z**(-3\/2)*(z*z**(1\/3)\/z)\/z**(-3\/4) assuming z is positive.\nAnswer: z**(329\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9575 is divided by 509?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (2 - -3 - (-33 - -22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38154*g + 38149*g - 152615*g + 38157*g + 12*g**2 + 38155*g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1409 + -1355. Which is the third biggest value? (a) j (b) -3\/4 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 9 + 14*r**3 + 8 - r**3 as t*r**3 + q + p*r + f*r**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 6*m - m)*(-m + m + m)*(16 + 29 - 70).\nAnswer: 100*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-20 - 45) + 10 - (2 + -4 - 2)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhiztzzztxixh. Give prob of picking 1 h and 2 t.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/21? (a) 0.1 (b) -1\/8 (c) -3 (d) -35 (e) 0.207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1411*b + 1 - 1.\nAnswer: -1411*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50418 + -50371. Let c = 87 - 61. What is the remainder when r is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6721 and -303290.\nAnswer: -303290.6721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 5, -0.4, -2\/259?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139277 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/5*60\/8. Suppose x + 3 = a. Suppose 0*v = 4*v + n - 28, -v - x*n = -18. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**2 - 95*r - 13. Let t be f(-12). Is -310\/13 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:24 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129.97 + 131. Let q = -0.03 + y. Let v = q + -0.8. Which is the closest to 0? (a) v (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -1\/30*x**5 - 1\/60*x**6 + 1\/12*x**4 + 1\/3*x**3 - 2*x**2 + 0*x - 3. Let z(n) be the second derivative of r(n). Solve z(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 38, 66, 100, 140?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 13 - 3 = 0. Which is the smallest value? (a) m (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 - 4*f + 4. Let i(s) = s**2 + s - 1. Let v(z) = -4*i(z) - n(z). Let o(c) = 4*c**2 - c**2 + c**2. Give o(v(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 3, 117, -0.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-10))\/((-15)\/150*-25)*-5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 67 + 5. Let y = -22 + h. Solve 2*c + 0 = -y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**3 - 6*d**2 - 288*d - 5. Let k(a) = 26*a**3 - 22*a**2 - 1151*a - 19. What is 3*k(l) - 11*s(l)?\nAnswer: l**3 - 285*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2894*((-3)\/(-6))\/1. Let q = -12977\/9 + s. Calculate the common denominator of q and 68\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 3*h**4 + 3*h**4)*(6*h - 11*h - 4*h + (0*h - h + 3*h)*(-1 - 1 + 3)).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43609 - -11774467\/270. Find the common denominator of o and 43\/459.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z. Let o be h(-1). Let v be o\/(-45) - 13\/63. Which is the biggest value? (a) -1\/5 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12998, 26088, 39178, 52268, 65358, 78448?\n\"Answer: 13090*n - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 16 (b) 1 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1014 divided by 5\nAnswer: 1014\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 58050 divided by 5\nAnswer: 11610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, 1, 2\/7, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 16*a**2 - 16*a + 19. Let i be z(-17). Let u(m) = 4*m**3 - 4*m**2 + m - 1. Let d be u(i). What is the greatest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c, -5*g + 3*c + 11565 = -0*c. Round g to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 16*z + 61. Let r be (-3)\/6 + (-2)\/(-4). Let p = 1 + r. What is the smallest common multiple of h(11) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5433512162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 + 189. Suppose 0*v + 5*v = 5. Suppose 0*b - 3*b = -9, 2*a - 3*b + 9 = 0. Solve a = -4*j + v + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 328426.\nAnswer: -4\/164213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -1.3?\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 9 = -12*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6)*(-4 - -1). Suppose h*l + 10 = 3*l. Suppose 0 = -5*q - 0 + l. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 1 - 2)*(-2*x + 2 - 2) + 2 - 2 + x)*(2 - 2 - 4*x) as l + j*x**2 + i*x and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -79, -174, -307, -478, -687?\n\"Answer: -19*j**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23934 to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 + 433*o**4 + 6269*o**3 - 433*o**2 - 6270*o = 0.\nAnswer: -418, -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 21 + 55*b - 71 + 21 - 30*b - 23*b.\nAnswer: 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3 - 453*b**2 + 13437*b - 12987 = 0?\nAnswer: 1, 39, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 594*138\/(-2024)*(-2)\/6*2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01224 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpmmmccpcppmkkccck. What is prob of picking 1 p, 1 m, and 1 c?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - a = 81272032 + 2327972, 2*a - 41799992 = 2*y. What is y rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 90384950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 - s + 2. Let d be t(3). Suppose 0 = 5*p - 4*o + 40 - 13, 3*o - 6 = -p. Sort p, d, 0 in ascending order.\nAnswer: d, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992703 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r + 4 = 32*r, 3*f = -4*r - 10. Calculate the least common multiple of f and 3506.\nAnswer: 3506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 19*j**2 + 10*j - 5. What is b(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -86. Sort s, 2, 1, 4 in increasing order.\nAnswer: 1, 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*b = 282*b + 13080. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -69. Suppose 20 + x = 2*k. Find the common denominator of -30*(96\/k + -3) and 17\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 11*p - 80 = 0. Calculate the least common multiple of p and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -200*p - 13*p + 4047. Calculate the remainder when 603 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31316 - 9392 = 189*o for o.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-4)*26\/(-24)*(19 - 11).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0677 - -76.5323. Let z = 77 - k. Put 2\/7, 2, z, 0 in descending order.\nAnswer: 2, z, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-10) - (-7588)\/(-17040). Let t = -1\/213 + u. What is the closest to -2\/7 in 4\/3, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*f**3 + 4*f**2 - 2*f**4 + 42*f**3 + 14*f**2 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/48 and -85\/4208.\nAnswer: 12624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 92*50.32\nAnswer: 4629.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 31766484*o + 126138688215282.\nAnswer: 2*(o + 7941621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101 + -5 + -27 + 10 + 23 + (-10 - 1)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 358*d - 5. Let x be n(-6). Let v = -2793 + 1959. Let l = v - x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s + 5*a - 7, a = s - 4. Suppose r + 0*r = -5*k - 24, 0 = 5*r + 2*k + 5. Suppose 4*j - 16 = -5*n, j + 5*n - 3 - r = 0. Solve 1 = -s*v + j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1228 = g, 5*g + 1564 = -2*c - 4642. Is -1241 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1758 * -3939.\nAnswer: 692.4762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1216) + sqrt(1216) + -1 + sqrt(1216)) + -5)**2 + (sqrt(2432)*-2)\/(2*sqrt(98)).\nAnswer: -8*sqrt(19)\/7 + 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c + 43*c = -209. Suppose -16 = -3*u - c, -5*u + 1071 = 2*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and 31\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 89 - 37 = 0. Let u(r) = 2*r**3 - 23*r**2 - 28*r - 21. Let n be u(12). Let o = x - n. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - -0.17. Let h be (5\/(-20))\/(22\/16). Sort -1\/3, h, r in ascending order.\nAnswer: -1\/3, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246 by 41.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 104*h - 2. Let c(w) = -4*w**2 + 106*w - 3. Calculate -4*c(t) + 5*d(t).\nAnswer: t**2 + 96*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33116609143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:06 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1564, -3311, -5384, -7945, -11156, -15179, -20176?\nAnswer: -26309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + 3.1. What is the biggest value in -3, 0.8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 19*c. Let y(t) = 169233*t - 1. Calculate y(g(d)).\nAnswer: 3215427*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 0)*(-66)\/(-24). Let k be 12\/(-18) - j\/3. Suppose 0 = -4*a - 16, k*n - 8*n + 5*a = -45. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and -45171?\nAnswer: 2077866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(80) + -3 + sqrt(80)) - sqrt(80))*2)**2 + 1.\nAnswer: -2688*sqrt(5) + 16257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -820 + -2292?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -h + 256. Suppose -2*c + 128 = -4*w, 2*w - h = -5*c + c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961347 is divided by 325.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/60 + q**4\/24 + 11*q**3\/6 - 8*q**2. Let v be f(0). Let d(i) = i**2 - 7*i - 1. Is d(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1503, 0.21, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w\/(w\/w**(-1\/5)*w))\/w*w))\/(w*(w*w**(2\/11))\/w))\/((w\/(w**(1\/6)*w))\/(w*w**(-2\/13)\/w)))\/((w**(-1))**(-19\/4)*w**5\/w**(2\/21)) assuming w is positive.\nAnswer: w**(-517943\/60060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27))\/(82\/369)*34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10877 - 0.033746387\nAnswer: 10876.966253613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3210630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 618.9998 years in centuries?\nAnswer: 6.189998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/7 in 0.2, 1, -3.719?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 766? (a) -2\/17 (b) -2\/3 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**7\/1260 + o**6\/72 + o**5\/10 - 5*o**4\/6 - 16*o. Let n(u) be the third derivative of y(u). Factor n(i).\nAnswer: -2*(i - 6)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/2 + 46894495*i\/2 + 23447250.\nAnswer: -5*(i - 9378900)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -4, -941, 0, 1\/11 in ascending order.\nAnswer: -941, -4, 0, 1\/11, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 26\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 36*a**2 - 19*a - 132. What is h(-18)?\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11772223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 1072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.02 + 23. Let w = -0.02 - u. Which is the biggest value? (a) 0.2 (b) w (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 4:02 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v + 767132594545 - 767132594545.\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = r - 83, -977039 + 977008 = 3*r - 5*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -111.1. Let n = x - -112. Let g = -88\/111 + -3\/74. Sort -0.5, 2, g, n in ascending order.\nAnswer: g, -0.5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 53*o**2 + 6*o + 301. Calculate y(-53).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -8*d - 12. Let t be d\/(1\/((-6)\/4)). Let z(p) = -p**2 + 6*p + 5. Determine z(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 10*b**2 - 73*b + 288. Let w be s(6). Let p(h) = 5*h + 5*h - 8 - 6*h + h**2. Let v be p(w). Solve -5*u = k + 7 - 4, -v*u = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 4}. What is prob of sequence ssmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 1743263 - 1121926 = -774166. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 22. Suppose o = 3*o - d. Let z = o + -5. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327902 less than or equal to 327858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(27\/(-12)) + -6 + (-393)\/(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + 1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 7*b**2 + 0*b**2 - 25*b**2 + 33*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-175)*5*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30461.46 milligrams to grams.\nAnswer: 30.46146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Calculate (-1 - 0 - -1) + -52 + 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 485 = -4*o, o + w - 123 = 3*w. Calculate the lowest common multiple of 407 and o.\nAnswer: 4477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55d (base 14) to base 16.\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(4\/7)*w)\/w)*w**(-5)\/w*w*(w\/(w\/((w**(-1)\/w*w*w*w)\/w)))**(-3) assuming w is positive.\nAnswer: w**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.11 - 1.2. Let g = 4.09 + k. Which is bigger: g or 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(12)*2*5)\/(-1*sqrt(216)*3 + (-2*sqrt(216) + sqrt(216))*4).\nAnswer: -20*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 605*f + 8. Let w be z(0). What is the third biggest value in 4, 2\/7, 0.1, w, -2\/71?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**5\/20 + 25*c**3\/2 - 199*c**2\/2 + 2*c + 74. Differentiate b(y) with respect to y.\nAnswer: 3*y**2 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 279453.96us?\nAnswer: 0.004657566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**3 + 7*n**2\/2 + 19*n. Let t be p(-3). Solve 6*k - k = -t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.3. Let y be 3*(-7)\/6*-3*(-4)\/(-42). Which is the closest to p? (a) 5 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-5))\/1)\/((2604\/1550)\/21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e - 713?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n. Let s be u(6). Let a = s - 8. Suppose 2*c = -a + 10. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/39*(-2)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94144 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h + 3. Let f(r) = -227*r + 798. Let t(p) = -4*d(p) + f(p). Differentiate t(a) with respect to a.\nAnswer: -215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 108, -2, -1 in ascending order.\nAnswer: -2, -1, 3, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 18 - 2*l + 34 + 24*l**2 to the form a*l + n*l**2 + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 587957*-7.11\nAnswer: -4180374.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -550 divided by 704163\nAnswer: -550\/704163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9554518 + -88.0454182. Let a = 90 + k. What is a rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.12, 0.3, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 138*a - 255 = -9556. What is the remainder when 603 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/53 and -83\/674?\nAnswer: 35722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, 5, 1, 4, 3 in decreasing order.\nAnswer: 169, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -138*y + 4*y**2 - 3 + y**3 + 70*y + 66*y. Suppose 49 - 14 = 5*k. Suppose 3*b = x + 16, 4*b - 9 = k. Determine d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/4 + f**3\/3 + f. Let m(v) = 10*v**2 + 7*v. Suppose 3*k + 20 = -1. Let n = -22 - -24. Calculate k*i(w) + n*m(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-5))\/(-1 + 968\/970)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 times 4404.6\nAnswer: 246657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -63*k + 5. Let a(l) be the third derivative of -4*l**4\/3 + l**3\/3 - 1726*l**2. What is 5*a(v) - 2*w(v)?\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077149800 rounded to the nearest one million?\nAnswer: -1077000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 45*v + 28 + 43*v + 67 - 30. What is the tens digit of u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 3561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + 0.18. Which is the second biggest value? (a) 0 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l = 4*l + 26*l. Let m = -1.7 - -1.2. Which is the second biggest value? (a) -0.1 (b) l (c) 5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98786060 by -590.\nAnswer: 167434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 16. Suppose -4*i + 4*f + 17 = -5*i, -4*i = 4*f + 20. Let x be y*i\/3*(-1)\/2. What is the nearest to x in 3\/8, -7\/2, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9632899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 - 130 = -2*s - 295 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90.1288 - 0.0288. Let m = -90 + f. Let k be 1 - (-2 - (-19)\/6). Which is smaller: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*(-8 + 12). Let d be (-3)\/(-3) - (-2)\/m. Suppose 6*b + 0 - 108 = d. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 3:11 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w - 6*w**2 + w**3 - 27 + 53 - 26. Let t be f(7). Calculate the highest common divisor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088182 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.66377 centimeters?\nAnswer: 96.6377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -58*s - 1. Let j(k) = 2*k**2. What is j(w(c))?\nAnswer: 6728*c**2 + 232*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.533934 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55028 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53836, 53793, 53750, 53707?\n\"Answer: -43*n + 53879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z**3 - 3*z**3 + 2892*z - 28*z**3 - 10478*z.\nAnswer: z**3 - 7586*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -75389918 divided by -499\nAnswer: 151082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23955680 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/3)*j))\/j*j)**49*j**(-1\/4)*j\/(((j*(j*j**(-5))\/j)\/j)\/j)*j assuming j is positive.\nAnswer: j**(-691\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 2. Let z be o(24). Let d = z + 49. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 8) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = -2*o, 3*g - 3*o - 4 = -2*o. What is t in 4*t**3 + 4*t**g - 3*t**3 + 6*t**3 - 8*t**3 + 120*t**2 = 0?\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0945425 and -7.\nAnswer: -6.9054575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 - 2. Let z(l) = l**3 - l + 1. What is -q(k) - 2*z(k)?\nAnswer: -k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154646?\nAnswer: 2, 13, 79, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -h, -8*h + 6*h - 3*d + 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 49 - 1. Suppose w = -r*c + 937, -5*w = -c - 324 - 4329. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 39 - 13. Let p be 24\/a - 16\/(-104). Is p - 1 - 676\/(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -10*s. Let g(x) = -x**3 - x**2 + x + 5. Determine g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3996)\/30 - 4)*(-17385)\/114.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6132350 (base 8) to base 15\nAnswer: -21eb51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 + 25 = 27*w. Suppose w*t + 930 = a, -5*a + 2*a = -t - 2776. What are the prime factors of a?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 6 = 0. Let h = -2436 + 2438. Solve -h*s = p + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Let j be 3\/6*i*3. Differentiate j + 3*w - w + 3*w + w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273496232 to the nearest integer?\nAnswer: 16538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 7) + 6 - (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -84, -168, -252?\n\"Answer: -84*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -776 - -1116. Calculate the highest common factor of 40 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -5954, -5, 4, 2 in ascending order.\nAnswer: -5954, -33, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15135.197 rounded to the nearest ten?\nAnswer: 15140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:47 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:23 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -867 + 434. Let g = p - -437. What is the second biggest value in g, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/2)\/(((-138)\/(-69))\/((-12)\/(-3)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -16*d**2. Let t(l) = 8*l. Calculate t(u(r)).\nAnswer: -128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 8. Which is the nearest to 1? (a) 0 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.07, -3\/2, -9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 131. Let j be (-3)\/7 - (-108)\/154*x. Which is the third smallest value? (a) -2 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 10:12 PM?\nAnswer: 659","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Divide -803 by -11.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-five thirds of a hour?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-10))\/((-6)\/(-4)). Suppose o = 3 + q. Suppose a = -4*h + 4, 0 = -4*h + 3*a + o - 0. Calculate the highest common divisor of h and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 5*k - 18 = 0, 0 = -p - 5*k + 22. Suppose 5*y = -p + 12. Find the third derivative of c**2 - 4*c**2 + 2*c**5 - 8*c**5 + y*c**2 wrt c.\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 641 + -639. What is the nearest to q in 0.5, -2\/3, -55?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 580 = -2*z, 2*z - 75 = -c + 121. Let k = 339 - c. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -26\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110169228 and 156.\nAnswer: 110169228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:48 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.6388297 weeks?\nAnswer: 107.3233896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g - 1204. Is 11 a factor of (-2)\/(-4) - g\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -1225 + 410. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 1196 = 6*o. Is o a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213942629.\nAnswer: 213942629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 19*u**2 - 63*u. Give r(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(1 - -1) + 1911\/(-39) + 39. Let y(f) = 385*f + 1545. Determine y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7835010841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-990)\/(-20)*2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358891110.\nAnswer: 2, 3, 5, 1889, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58778, 4\/7, 1 in ascending order.\nAnswer: 4\/7, 1, 58778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -807.\nAnswer: -4\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 - 0.5. Let v = -539606\/39 + 13835. Let l = v + 18\/13. Which is the second biggest value? (a) l (b) h (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**7\/1260 - 3*j**4\/8 + 10*j**2. Let a(u) be the second derivative of k(u). Let r(v) = -13*v. Give r(a(b)).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421323?\nAnswer: 3, 7, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6969*l - 306652 = 4059*l - 1475620 for l.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose 3*u - i = 2*i + 18, 5*u - s*i - 24 = 0. Calculate the remainder when u is divided by -3 + 7 + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-3\/7))\/d)\/(d**(1\/6)\/d))**(-30)\/((d\/(d\/(d\/(d\/d**(-2\/5)))))**(-4\/7)\/(d**(-1\/4)*d*d*d*d**(-3)*d)) assuming d is positive.\nAnswer: d**(-5227\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - g**2 + 0*g - g + 3*g - g**3 to j*g + v*g**3 + h + o*g**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376 + 484. What is the remainder when h is divided by 23 + (-3)\/6*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1453 or 1345?\nAnswer: 1453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = 5*r - 95, 452 = 4*b - 4*r. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54765, -54779, -54817, -54891, -55013, -55195, -55449, -55787?\n\"Answer: -2*a**3 - 54763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 - 4*w**4 - 8*w**3 + 4*w**2 + 6*w.\nAnswer: 2*w*(w - 3)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9374 + 1.2374. Which is the smallest value? (a) -0.1 (b) 1.91 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2, -394, -2, -1219\/4 in increasing order.\nAnswer: -394, -1219\/4, -2, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 + 44\/2. Suppose 0 = -5*o + x. Suppose 0 = o*i + 3*y + 3, -5*i + y + 25 = -y. Solve 4*l = i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 15*d**2 - 7*d - 10. Let b be z(-7). Let i be (13\/13)\/((-2)\/b). Let p(o) = -o**3 + 5*o**2 + 4*o + 7. Calculate p(i).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*t + 6, 17533*t = 17554*t + 3*x + 74 - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57538008 by 3196556.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlr when three letters picked without replacement from srrrssrlsrrlrsylryrr?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*x - 8, -3*p = 5*x - x - 8. Suppose 0 = -t + n - 2*n + 2179, p = -2*t + 4*n + 4358. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (32 - 15)) + (-2 + -34 - -8)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -429*g + 370*g + 826 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 - 1 = 2*o, 2*o + 2 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72785 is divided by 3830.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 28, -5, -45, 19 in decreasing order.\nAnswer: 28, 19, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 4*s**2 - 2*s + 2. Let r be h(-4). Suppose -r = a - 2*a. Let g(j) = 3*j + 13. Is g(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2269 + 2272. Solve 0 = -3*d - 4*a - w, -3*a + 29 = -0*d - 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 3}. Give prob of picking 1 n and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 3*j)*(-3 + 0 + 1)*(-j + j**2 + j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.35 + 0.35. Let t = 17.03 + f. Let k = t - 0.23. Which is the closest to -2\/7? (a) 3 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 920 from -0.26.\nAnswer: -920.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-99)\/12)*(-54)\/36. Which is the closest to -1? (a) 1 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11974 - -20877. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 589 + 296 + 293.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643514714.\nAnswer: 2, 971, 331367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76472 divided by -12?\nAnswer: -19118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8265 = -23*y - 1779. What are the prime factors of y?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/(-21) - -12 - 7. Factor -3\/7*h**2 + 18\/7 + n*h.\nAnswer: -3*(h - 3)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3235 or 6467\/2?\nAnswer: 3235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 36*v = -49, 0*w = 5*w + 125*v - 121*v - 69 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.5971ml in litres?\nAnswer: 0.2055971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6 + 1 - (-98 + 114).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)*q*q*q*q)\/q*q**(-1\/3)*((q\/q**4*q)\/q)\/(q*q**5\/q))**(2\/39) assuming q is positive.\nAnswer: q**(-100\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4106*u**2 + 2422.\nAnswer: 8212*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*9 + 25\/(-25). Let t be -5 + 29 + (6 - 6). Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463835 (base 9) in base 10?\nAnswer: 278429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37966827 to the nearest integer?\nAnswer: 6162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146.331 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)*(-2 - -2). Let k = -2 - y. Let h be (4 + k + -5)\/(-1). Solve -2*w = h*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1264 and 560?\nAnswer: 44240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {o: 9, z: 9, r: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -21 - 6) + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/315 - l**6\/15 - 5*l**5\/18 + 11*l**4\/6 + 80*l**3\/9 - 56*l**2. Find c, given that p(c) = 0.\nAnswer: -8, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60355, 60078, 59801, 59524, 59247?\n\"Answer: -277*v + 60632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.82601 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 4:34 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**8\/15120 - p**7\/2835 - p**6\/405 + 4*p**5\/135 + p**4\/2 + 13*p. Let u(o) be the third derivative of v(o). Factor u(x).\nAnswer: 4*(x - 2)**2*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -9) + -9 - (-5 - (-3 + 3 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 4, r: 5}. Give prob of sequence ll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-18*v**2 - 7*v + 7*v)*(18*v + 9*v - 14*v).\nAnswer: -468*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 154 - 880 = 0. Is x a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4714063819 to the power of 1\/4, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aezzpeezzpeeqeq. What is prob of sequence apzq?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(175) + -4.\nAnswer: -9 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -52. Let l = 34 + h. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i. Let v(b) = -b. Let h(f) be the second derivative of f**4\/12 + f**3 - f**2\/2 - 3*f. Let o(a) = -h(a) - 5*v(a). Give -o(n) - 2*y(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-27)\/(-5) + -4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5+402\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*j + 415, -5*j + 3*o - 427 = -1474. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 0. Let c = 5 + h. Suppose c*u - 5*u = 0. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d = 19*d + 75 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11067*w + 34607*w - 12475*w - 11068*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/10 + v**3\/10 - 3*v**2\/2 + 23*v\/10 - 1.\nAnswer: (v - 2)*(v - 1)**2*(v + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 317245753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -12*k**4 - 5*k**2 - 5*k + 23. Let u(x) = 6*x**4 + 3*x**2 + 3*x - 12. Let g(d) = 3*o(d) + 5*u(d). What is the first derivative of g(p) wrt p?\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2007049 and 25361801.\nAnswer: 278979811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + c = -2*r + 2, 4*c = 2*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 1. Let l be b(1). Factor -1 + u**2 - 3*u**2 + l*u - 8*u - 7.\nAnswer: -2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6)*-5)**2 + (sqrt(3) - (0 + sqrt(300)))**2.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 1. Let v(d) = -d - 1. Let g(q) = 2*j(q) - 5*v(q). Let h be g(-4). Let a be (-3)\/(-15) - 55\/400. Is a equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6*w + 16. Solve w*f = 3*t - 10, -4*t - 16 = -4*f - 7*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 - 14*r + 72. Let k be m(0). Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - 6. What is the least common multiple of 8 and y(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - l - 4 = 0, -2626*z + 3*l - 32 = -2621*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3, 0.5, 0.8697?\nAnswer: 0.8697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*j + 174, -13877*j - 13885*j = -5*a - 27765*j + 290 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -1. Put 0, 0.3, w in descending order.\nAnswer: w, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 2*q**2 - 4*q**3 - 8 - 4 + 9 in the form m*q + r*q**3 + y*q**2 + a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-10))\/(c**8\/c) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886126672 to the power of 1\/2, to the nearest integer?\nAnswer: 62339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 27*n = -531. Is 177 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - b - 11 = 0, 5*r + b + 2*b - 23 = 0. Suppose -u + 13 = -2*c, 2*u = -5*c - 5 + 31. Solve a + 2 = -n + 2*a, -r*n - a = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c**2 - 8395*c + 159900 = 0.\nAnswer: 20, 1599\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37509.54 milliseconds in microseconds?\nAnswer: 37509540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + n + (n + n + 0*n)*(3 + 0 - 5) + n + 3*n - 6*n)*(8 - 3 - 1)*(6*n - 2*n - 3*n) - n**2 + 0 + 0.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 - m**2\/2 + m. Let z = 3 + -1. Suppose -2*q = z*q - 4. Give f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:22 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*k + k + 5*p, -4*p = -5*k + 113. Let l be (-4)\/(-16) + (-183)\/(-4). What is the tens digit of (l - 1)*7\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:43 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -406, 190, 1402, 3434, 6490, 10774?\nAnswer: 16490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2*1)\/(sqrt(66)\/(sqrt(6)*1)))\/(-4*(sqrt(528)*-1)\/sqrt(11)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 - 106*f - 629. Determine i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69433, -138842, -208251?\nAnswer: -277660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - f + 45 = 0, 3*s + 4*f + 2 = 4*s. Let p = 2 + s. Calculate the remainder when 63 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -585, -1326, -2363?\nAnswer: -3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/12)\/(78\/16)*(-1876)\/56. Is 16 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268203893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 65.9. Let q = 1\/5 - 13\/15. Which is the nearest to x? (a) q (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igwaawaagaaeaa. What is prob of sequence wg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125636 by -14.\nAnswer: -8974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 669*c - 28750. Calculate g(42).\nAnswer: 4640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/(-8) - 4) + 614 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2635277 + 1396697439\/530. Let t be (2\/159)\/(4\/354). Let k = o + t. What is the common denominator of k and -85\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - i = 230, -2*m + 53 + 57 = -4*i. Find the third derivative of -2*p**3 + p**6 + 2*p**6 + 2*p**6 - 22*p + p**2 + m*p wrt p.\nAnswer: 600*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*1*3\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 99 - 138. Let y = 135 - r. Find the common denominator of (2 + (-100)\/y)\/((-4)\/147) and -13\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*s = 401*s + 28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 4. Let g be x(3). Let n = -3.8 + 4. Let c be 2\/4 + (-9)\/26. What is the nearest to 0.2 in g, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l - 2 = 0. Let o be ((-4 - l) + 0)\/5. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4 (c) 4 (d) -176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 3060 = -28*b. List the prime factors of b.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21106157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3301, 4083, 4867, 5653?\nAnswer: 6441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - ((-46 - -44) + -29).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5723525 - 3?\nAnswer: 5723522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20041 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287402559.\nAnswer: 13, 751, 234293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = -3*x + 1, -3*n = x - 7. What is the remainder when 33 is divided by (-17)\/n*-2*1*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-21)*(q*q**(-15))\/q**6)**(1\/38) assuming q is positive.\nAnswer: q**(-41\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15888 + 8264. Suppose 28978 = -7*b - a. What is b rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p - 15. Let f(x) = 25*x + 50. Let a(o) = 10*d(o) + 3*f(o). Let w(t) = 44*t. Calculate a(w(g)).\nAnswer: -660*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*h - 76632 = -264*h - 79816 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -0*j - 9*j. Let d = j - 139\/5. Let p = 3 + 0. Put 2\/17, d, p in decreasing order.\nAnswer: p, d, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i. Suppose 5*u - 3*m - 5 = i, -3*u - 3 + 6 = -m. Let o = -51 - -54. Which is the closest to u? (a) 0.4 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 24*k - 26*k = 97948, -3*j + 146954 = 5*k. List the prime factors of j.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-3 - -5) + -1. Factor -4*p**2 + 44*p**4 - p + p**5 - 6*p**w - 2*p**5 - 48*p**4.\nAnswer: -p*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*k - 302*k + 602*k - 36425*k**3.\nAnswer: -36425*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.686 - 0.194. Let m = 0.12 - s. What is the third smallest value in m, 0, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 396.132 from 0.957.\nAnswer: -395.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 - 4721498*y\/3 - 5573135841001\/3.\nAnswer: -(y + 2360749)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12 (b) 17 (c) -2 (d) 0.03 (e) 0.2 (f) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 173, 175, 177, 179?\n\"Answer: 2*q + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-40))\/(2*(-12)\/(-8)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-21)\/(-280)*100\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4671940 divided by -340.\nAnswer: 13741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.6824 at least -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56198095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + 0*y)*(-6 + 2*y**2 + 6 - y**2 + y**2 + y**2 - 3*y**2 + y**2 + 0*y**2 + (y + y + 0*y)*(-2 - y + 2)).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 110076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2086 - 1644. What is the greatest common divisor of p and 1360?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - 4 + 4)*(0 + 2 - 4) + 17 - 17 - 5*f**2 + (-3*f + 5*f + 0*f)*(-f - f + 0*f) + f - f + f**2 as k*f**2 + i*f + v and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 54 = 4*n, 388*d = 5*n + 383*d. Let w(m) = m**3 - 4*m**2 + 4*m + 18. What is w(n)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 6*h - 6. What is the units digit of d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 3*l + l + 4 + 2*l. Let v be m(2). What is the nearest to -1\/4 in 3, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**6\/6 + 17*g**5\/4 + 665*g**4\/12 + 575*g**3\/6 - 1863*g. Factor r(n).\nAnswer: -5*n*(n - 23)*(n + 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 16 = 5*o + 24*b, -5*b = 4*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -188*v**2 - 470*v + 470. Let y(x) be the second derivative of -x**3\/6 + x**2\/2 - 19*x + 3. Let a(k) = j(k) - 470*y(k). Let z(n) = n. Give z(a(i)).\nAnswer: -188*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 386*a**2*c*r - 2*a**2*r + 10*a**2 + 3*r wrt c?\nAnswer: 386*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73677\/16 - -4605. What is the smallest value in -1\/4, c, 1, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*(-420)\/2880 + (-1 - -12) + 3.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/(-9)*756\/112.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 7*w**4 - 3 - 3 + 4 + 2*w**3 - 5*w**4 to the form t*w + p*w**2 + y*w**3 + j + k*w**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3305031*c**4 - 31765915*c**2 wrt c?\nAnswer: 79320744*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75046.\nAnswer: 2, 157, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.14145 grams in milligrams?\nAnswer: 12141.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 444252535 - 5?\nAnswer: 444252530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 614 + 37?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 54. Suppose -5*f + 1 - 21 = -4*c, -5*c + 20 = -5*f. Let b(l) = -2*l**2 + 10*l + 4. Calculate the least common multiple of b(c) and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 631, 769, 779, 655, 391?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24a82 - 15?\nAnswer: 24a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -26*r**2 - 912*r + 16132. Calculate u(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5568741)\/(-93) - 0) + (-232)\/(-3596) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.140875 to three dps.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4761 and 600741393?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61103 and 14210.\nAnswer: 611030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(153) + 0 + sqrt(153)).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 545353281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*m + 19, -5*h - 19 = -2*m + 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -2 - -24) + (2951 - 2940)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 19*v**2 - 452*v + 3507. Calculate r(10).\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 - 939 = 78*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 0.05, -0.1, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**2 - 241*r - 1132. Give w(-43).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 680 - 678. Suppose g - v*r - 54 = 0, 31 = -3*g - 2*r + 217. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58520 and 545930.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d + 10. Suppose -n = -2*n - 2*a + 14, 3*n - 82 = d*a. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/6 + 4*x**4 - 107*x**3\/6 + 23*x**2 - 28*x\/3 = 0.\nAnswer: -28, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -80, 1\/4 in decreasing order.\nAnswer: 1\/4, -2\/5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose -g*y = 5*k - 130, -5*k - 5*y = -107 - 8. What is the remainder when k is divided by (-208)\/(-20) - 4\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5027\/4 - 276549\/220. Calculate the common denominator of t and -23\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986.7131ug in tonnes?\nAnswer: 0.0000000009867131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(560)\/sqrt(5)*-6 - -2*(-1*sqrt(847) + 2)*-5.\nAnswer: -20 + 86*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 168202 = -s + 174806. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42928, 42928, 42926, 42922?\nAnswer: 42916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 + c + 2*c + 2*c**4 wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + (sqrt(102) + sqrt(102)*-3)\/sqrt(6)))**2 + (-1*sqrt(17)*6)**2 + 4 + -4.\nAnswer: 4*sqrt(17) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 68*w\/3 + 1760\/9.\nAnswer: -2*(w - 110)*(w + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*g + 41 = 0, 4*b + 3*g = g + 144. Suppose 4*z = 169 - b. Solve 5*c + 4*a - z = 2*a, 5*c - 4*a = 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/3 + (-6)\/(-9). Let b(v) = -3*v. Let y be b(m). What is the second derivative of 0*d**2 - 3*d**y + d**2 - 2*d - d**2 wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81\/2 + (-6)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162373001 or -162373004?\nAnswer: -162373004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (296\/80*-4)\/(5 - (-81)\/(-15)). Solve -27*g = -j*g - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206262 (base 8) in base 14?\nAnswer: -1b0d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38533, 38547, 38561, 38575, 38589?\n\"Answer: 14*i + 38519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 296, 449?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.27+2712\nAnswer: 2718.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:52 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22077 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: What is -904154 times 63?\nAnswer: -56961702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17d93 (base 14) to base 10\nAnswer: -60301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k + 2*k + 2296 = 0. Calculate the greatest common factor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.88282 millilitres to litres.\nAnswer: 0.02288282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 9*f + 19. Let r be (9*(-160)\/1008)\/((-111)\/(-126) - 1). Determine t(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*7\/42)\/(100\/3900).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) + 1)*-1 + (sqrt(243)*1 - sqrt(243))*-5 - (0 + sqrt(243) + 4 - (3*(sqrt(243) + -1) + sqrt(243)))) + 0)**2.\nAnswer: -288*sqrt(3) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 9*z + 27. Let x(u) = -2*u**2 + 4*u + 136. Let o be x(-7). Calculate k(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-24) + (-5)\/30. Suppose -12 = -n - 3*s + 4, 3*n - q*s - 48 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21805640 is divided by 516.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + g)*(-310*g + 9 + 19*g**3 + 357*g - 9).\nAnswer: 19*g**4 + 47*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3239 by -79.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + sqrt(288)\/sqrt(6))*-1 + (3 + sqrt(18)\/sqrt(6) + -5)**2.\nAnswer: -12*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2138, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 5*k - 69 - 4*k - k.\nAnswer: -2*k**2 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30330143 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2*k**2*o - 7*h**2*k**2 + h**2*k + 1317*h*k**2*o + 56 wrt o.\nAnswer: -h**2*k**2 + 1317*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 48 = 60 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.857 + -0.043. Let o = k + 10. What is o rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 11*y**3\/6 - 3*y**2\/2 + 7*y. Let l(j) = -4*j + 1. What is -3*i(g) - 8*l(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 420, 510?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -15*r**2 - 19\/840*r**6 - 2\/21*r**3 - 25\/2352*r**8 + 0 + 23\/420*r**5 + 1\/21*r**4 - 11\/294*r**7 + 0*r. Factor f(g).\nAnswer: -(g + 1)**3*(5*g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12*18\/(-648))\/((-1)\/(-18)). Let u be ((-6)\/18)\/(2\/(-132)). Suppose 2736 = u*z - w*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 - 26\/(-6). Suppose g - s = -2. Let r = 5 - 0. Calculate the remainder when r is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5029 - -5031. Solve 0 = -3*l + 3*t + 12, -5*l - 3*t + 2 = -g*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571732 - 571725 + 1143457 + 7*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 - 13 = 0. Let t be 2\/(-6)*(m + -6). What is the closest to t in -1, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1416, 5, 3, 10 in decreasing order.\nAnswer: 10, 5, 3, -1416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2348845904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-23 + -3 - -5) - (56 + -64)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -2) + -19 + (4 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + 3*h**2 - 7*h - 1 - 6. Let k be 3\/9*(2 - 17). Give y(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2 = -8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44202005*z - 44202005*z + 2*z**2 + 2*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 34 (b) -0.1 (c) -5 (d) 64703\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*z)*(3 + 2 + 3)*(2 - 2 + 2*z) as d*z + o + l*z**2 and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/1410 or -7.6?\nAnswer: 13\/1410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1604, 1607, 1608, 1607, 1604, 1599?\n\"Answer: -x**2 + 6*x + 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:17 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/15 - 20*y**4\/3 + 186*y**2. Suppose q(v) = 0. Calculate v.\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 22*l - 19 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.15. Let u = -5\/18 - 1\/18. Let z = -32235 + 32230. Sort u, z, a in descending order.\nAnswer: a, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1528368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1328? (a) 0 (b) 10 (c) 2\/17 (d) 526\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*r - 0*r + 28, c - 12 = -r. Let u(z) = 3*z**2 + z. Let k be u(2). Let p = k - c. What is the remainder when 16 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adbadddowwnowdbnd. Give prob of picking 2 b and 1 w.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*l**2 - 230*l**2 - 226*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18840 + -16014003\/850. Let c = 8696\/4675 - o. What is the common denominator of -31\/12 and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Let g = -3 + o. What is the nearest to 1 in -1, g, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msgssssmsgsomg. What is prob of picking 1 g, 1 m, and 1 o?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171613864?\nAnswer: 2, 191, 766763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7*84\/(-20)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/8*1 + (-33)\/(-6). Solve 0 = p*a - 14 + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n. Let d(q) = 2*q. Let x(f) = 7*f. Let j be x(-1). Let t(k) = j*d(k) + 5*b(k). Let m(s) = -8*s. Determine m(t(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -264*v**3 - 8*v**2 - 31*v + 19. Is t(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1631c3 (base 14) to base 9\nAnswer: -1413653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1228622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 3*p - 2*p)*(-2 + 2 + p)*(-8 + 14 - 10) as f + h*p**2 + t*p and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5078328um?\nAnswer: 507.8328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by (-10)\/(-6) + 6\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {u: 3, a: 5, j: 4}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3594.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 51*t = 485. Calculate the remainder when t is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*b + 201 = 0, 2*z - 3*b - 133 = -0*b. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81c2 + -15?\nAnswer: 81ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than 267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24412 by -359.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 - m**4 + 3*m**4)*(0 + 0 - 4*m) - 1 - 288*m**4 + 288*m**4 - 4*m**3 + 2*m**2 + 3*m**5.\nAnswer: 11*m**5 - 4*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 15*q**2 + 2*q + 30. Let x be d(-15). Suppose -36*k + 34*k + 280 = x. Calculate the highest common divisor of k and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let v be h(3). Suppose 5*f = -l + 20, -l = v*f + l - 22. Solve 0 = -5*s - 3*k + 27, 4*k - f = 3*s + k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22852, -45308, -67768, -90232, -112700, -135172, -157648?\nAnswer: -180128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 39*x - 35*x. Put 0, -1, x in descending order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0145347364 and -32832.\nAnswer: -32832.0145347364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(8\/96). Suppose -4*k + 12 = 3*q, 15 = 5*k + 3*q - j*q. Let n = 0 + k. Solve -n*y + 4*t + 0 = 1, 0 = 2*y + 3*t - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 4*f**4\/3 + f**3\/6 + 1430*f**2. Let a(q) = 49*q. Give a(p(u)).\nAnswer: 1568*u + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 34. Suppose -2*w = 5*x - 84, -3*x + h*x = -5*w + 168. What is the remainder when w is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t - 255 = -313 + 538 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2143000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(w - w + w**3) - 5*w - 3*w**3 - w**3 + 3*w to l*w**2 + b*w**3 + r + a*w and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83048 - 83048 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 37730\/152405 - 428\/1819\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192 + 75*s**3 - 42*s**4 - 321*s + 81*s + 19*s**4 + 60*s**2 - 7*s**4 + 3*s**5.\nAnswer: 3*(s - 4)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/52, 4, 5, -2560 in descending order.\nAnswer: 5, 4, 3\/52, -2560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18*r**2 + 4*r - 4. Calculate the smallest common multiple of 12 and b(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-10)*-1*6. Let z(m) be the second derivative of 1\/2*m**3 + 5\/12*m**4 - m**2 + 1\/20*m**5 + 0 - 2*m. What is z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76840286 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 245, 570, 905, 1256, 1629, 2030?\n\"Answer: o**3 - o**2 + 321*o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -15*h**2 - 2*h - 1. Let l be d(-1). Let o = l + 30. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and 109\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**4 - 3*q**2 - 5*q**4 - 1 + 9*q**4 as c + o*q**4 + n*q**3 + u*q + s*q**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8)\/(w\/w**7)*w**(4\/5)*w*w**(-8))**(-10\/13))**29 assuming w is positive.\nAnswer: w**(2378\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*s + 1075 + 905 = 388*s for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 16 = -4*o, 19 = -5*j + 5*o - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294147303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 224 (b) 2 (c) -0.5 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68729593?\nAnswer: 19, 3617347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 35*h**3 + 63. Let u(w) = -1. Determine 126*u(o) + 2*y(o).\nAnswer: 70*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p = 53*p - 5*u, -2*p + p = 9*u - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 12*q - 13 = -7*q, -3*g + 3*q = -15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 12*f - 14. Is o(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 7) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*4 + sqrt(315))\/((sqrt(1008) - (sqrt(1008)*-3 + sqrt(1008))) + sqrt(1008)).\nAnswer: 5*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-2)\/4))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 - s. Let k = -18 + 20. Suppose 3*w + 17 = 5*j, -4*j + 2*w = -k*w - 20. Determine v(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Let q be 1 + (-1)\/2*1. Let f = -929471 + 929472. Which is the second biggest value? (a) f (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128929259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(2) + sqrt(288)*1 + (sqrt(220)\/(1*sqrt(11)))\/sqrt(10).\nAnswer: 4 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11728548343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20 + ((-720)\/16 - -20). Let u(d) = -5*d**2 - 14*d. Let m(t) = 4*t**2 + 13*t. Calculate b*u(x) - 6*m(x).\nAnswer: x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1003, -3879, -8673, -15385, -24015, -34563?\n\"Answer: -959*x**2 + x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892*-5*(-7)\/35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 3. Let c(w) = -w**3 + 5*w**2 - 5. Suppose -67 = 5*j - 7. Let q = j - -17. Calculate q*v(l) - 3*c(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-6 - (-2 - 3)) + 22.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 405 - 405 + 2*z. Let k(a) = -5*a - 8. Let b(j) = -2*j - 3. Let x(q) = 8*b(q) - 3*k(q). Give n(x(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4\/5 + 1094*k**3\/5 - 10008*k**2\/5 + 216*k\/5 + 120096\/5 = 0.\nAnswer: -556, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - f + 10 = 0, 10*j + 3*f = 8*j - 10. Factor -2\/3 - y + 1\/3*y**2 + 1\/3*y**j + y**3.\nAnswer: (y - 1)*(y + 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 94*m - 202. Let g be w(-52). Which is bigger: g or 18?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m + 6. Let h(r) = -6*r - 7. Let g(l) = 6*h(l) + 7*q(l). Let f(c) = 12*c. Give 6*f(k) - 5*g(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -7*f + 11*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -3*h**4\/2 + h**2\/2 + 1. Let o = 23 + -22. Give f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from hihwvvuj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 46 - 22*k + 15*k + 33*k - 23 in the form x*k + p and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 50*c**3 - 5*c**2 + 3*c. Let q be r(4). Suppose 3*t + 8623 - q = 5*o, o - 2*t = 1101. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -548921*b**2*z**3 - 18*b**2*z**2 + 4183818*z**3 wrt b.\nAnswer: -1097842*b*z**3 - 36*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03792047 to five dps.\nAnswer: -0.03792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(19) - (sqrt(38)\/sqrt(2) + sqrt(19))*-4))**2 + 5 + (sqrt(19) - (-1 + sqrt(19) + 1)) + 3.\nAnswer: -54*sqrt(19) + 1556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbwwbwbbbw. What is prob of picking 4 b?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 326538 and 2052?\nAnswer: 12408444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 8 = -7*r. Suppose -2*n - v = -r, -7*n = -8*n + 5*v + 9. What is the highest common divisor of 28 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1894, 3307, 4720, 6133, 7546?\nAnswer: 8959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/95543 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgj when three letters picked without replacement from {j: 1, g: 1, s: 2, r: 1, q: 1, w: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 6*b**2 - 3*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8146 + 8145.987. Let p = -218 + 218.113. Let u = p + b. Which is greater: u or -10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67\/20 + 15\/4. Let c be (1\/(-3))\/((-4)\/48). Let k = -3 + c. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 26*m**2 + 335*m - 28. Calculate w(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302964 is divided by 8645?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224942414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 0.5, 0.2, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 0.5. Which is the biggest value? (a) 3 (b) -2\/5 (c) -2\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05893, -4, 0, -45 in decreasing order.\nAnswer: 0.05893, 0, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/7)\/((-12)\/42). Solve 3*a + s = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + -7 - (37 + -38)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3 = 0, -p + 7 = 2*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 49. Let k(f) = f**3 - 2*f**2 - 6*f - 4. Let v be k(a). Solve -4*s = -g + v + 14, -11 = s + 3*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -162.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (1 - 10) - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*c + 10 = 0, -32 = -8*f + 2*c - 36 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -2 (c) -0.434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 9 + -15 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2417 + 161267494.\nAnswer: 161267494.2417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 768 = 752 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6447 and 6754?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -821.\nAnswer: 4\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239965877 is divided by 1496.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (964\/80 + -4). Let y = 19\/5 + s. Let d be (3 - (-150)\/(-51))*-2. Which is the nearest to 0? (a) d (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 2\/3, 1\/2, 0 in decreasing order.\nAnswer: 2\/3, 1\/2, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.02 - 0.03. Let q = -0.0474 - -0.0974. Let s = f + q. What is the second smallest value in 2\/5, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -288363951, -288363952, -288363953, -288363954, -288363955?\n\"Answer: -k - 288363950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-18)\/(-21))\/((-18)\/84))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*k**5 + 130*k**4 + 7982*k**3 + 2439037*k**2 + 92 wrt k?\nAnswer: 660*k**2 + 3120*k + 47892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 - 3223 + 10543 - 7320.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 102?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10593, -20910, -31227, -41544, -51861, -62178?\nAnswer: -72495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 978 and 14284.\nAnswer: 6984876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 20*v - 190 - 132 = 0. What is the remainder when 6466 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002110001 (base 3) to base 7.\nAnswer: 342232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -64\/13 (c) 4 (d) -0.1 (e) -18\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/11982 and 53\/621240.\nAnswer: 1240616280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2110320022212?\nAnswer: -2110320022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*f + 2 = 0, 5*m + 0 = 4*f - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z + 1. Let i(h) = -4*h + 2. Let j(v) = 1. Let d(u) = i(u) - 3*j(u). Let w(m) = -5*d(m) - 3*y(m). Give w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -749, -1497, -2245, -2993, -3741, -4489?\nAnswer: -5237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36117120 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 18*l - 1. Give j(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 16. Let a be 78\/4 - 6\/(-12). Let t = 13 - a. Let q be h(t). Solve -4*d + 0*d - 4*r = -28, q*d - r - 2 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by -24?\nAnswer: -119\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/4 - q**3\/3 + q**2\/2 - 15*q - 16. What is l(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-14)\/(3430\/(-35))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) -35\/26 (c) 0.38 (d) 9 (e) -1\/11 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 8 + -2 + (2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-15) - (1\/(-3))\/(2\/36)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**2. Let o(c) = 3*c**2. Let p(z) = -9*z**2. Let l(a) = 15*o(a) + 4*p(a). Give l(w(r)).\nAnswer: 729*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 329449*d - 329438. Calculate q(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 257860\/(-15)*(-3)\/7. Let o = u - 7384. Let t = o - -16. Which is the fourth smallest value? (a) -2\/5 (b) t (c) 1 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - g**4\/4 + g**3\/6 + 218*g**2. Determine v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 590 and 98530.\nAnswer: 98530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65714.5 years to millennia.\nAnswer: 65.7145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2. Let j(r) = 7*r**2. Let s be (-21)\/(-14)*(-4)\/3. Let b(a) = s*q(a) + 3*j(a). Let o(h) = 11*h**2. Calculate b(o(n)).\nAnswer: 1089*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from {j: 5, a: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 6:34 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 64 + 14 = 0. Let a = i + 16. Suppose -a*b = -5*b - 9. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(252)\/(sqrt(12)*-1))\/sqrt(3).\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1780, -366, 4242, 12044?\n\"Answer: 1597*w**2 - 3377*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -107774, -107772, -107770, -107768?\n\"Answer: 2*y - 107776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -296.\nAnswer: 31\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 110356, 110336, 110316, 110296, 110276?\n\"Answer: -20*p + 110376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 321*a - 321*a - 21*a**3)*(-12 - 13*a + 12).\nAnswer: 273*a**4 - 52*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 180.7708.\nAnswer: -144.61664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/7, -62, -13, 2\/7, 0.28, 4 in decreasing order.\nAnswer: 4, 2\/7, 0.28, -12\/7, -13, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -5*b. Suppose -5*f + f = -b*o + 24, -3*o = f + 6. Let y be 3\/(f\/2) - -3. Is 3\/5 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + -2 + sqrt(68))*4 - -2*(sqrt(68) + -2*(sqrt(68) + 1)))**2.\nAnswer: -5184 + 1024*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29999 is divided by 4172.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.165 + 0.165. What is the fourth smallest value in 4\/9, 1\/5, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, 5, 11, -3, 2, -18 in decreasing order.\nAnswer: 11, 5, 2, -3, -4, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 563504336*x + 700726549 wrt x.\nAnswer: 563504336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**6*r)*r*r**(-13)*(r**(-12))**31 assuming r is positive.\nAnswer: r**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1003 + -699. Let f = z + -299. What is the closest to 2\/5 in 3, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 0*n + 0*n)*(4 + 44*n**3 + 6*n**2 - 39*n**3 + 0*n**2) as j*n**4 + x*n**3 + v*n + i + u*n**2 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a*a\/(a*a**2)))\/(a\/(a\/(a**6\/a))*a)*(a\/a**(3\/5))\/(a\/a**2))\/(a**(2\/25)\/(a*a**(-2\/3))*(a**0)**(1\/6)) assuming a is positive.\nAnswer: a**(-326\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 + -142. Suppose 2*r + 5*t = 89, -7*r - f*t = -12*r + 145. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -547 and 0.1?\nAnswer: -54.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/18 + 4 + 0. Factor k*m**2 + 2\/3 + 10\/3*m.\nAnswer: 2*(m + 1)*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + 5.4. Let t = 3.1 - k. Let w = 3.7 + t. Which is the nearest to w? (a) -5 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 580 and 2668?\nAnswer: 13340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 69*v - 174178*v**2 - 8 + 174198*v**2 - 69*v.\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 0*b - b + 5*b. Let x(j) = j. Give k(x(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 718, 2135, 4830, 9229, 15758, 24843?\nAnswer: 36910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 1, m: 4, c: 7}. What is prob of picking 1 c and 1 m?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2776810, 2776811, 2776812, 2776813, 2776814, 2776815?\n\"Answer: y + 2776809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2576, 2573, 2570, 2567, 2564?\n\"Answer: -3*n + 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7012, 7014, 7016, 7018?\nAnswer: 7020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 - -384. Let z = p - 178. What is the third biggest value in 4, 15, -4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 0.1 (c) 1\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-14))\/(-28*(-13)\/8372*46)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*t - 8*t**2 + 52*t - 4 wrt t?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-170)*-17*(-4)\/46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.21 times 862289?\nAnswer: -8803970.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -586, -1189, -1834, -2545, -3346, -4261, -5314?\n\"Answer: -4*o**3 + 3*o**2 - 584*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6417*x. Let a(z) = 2*z**2. What is a(j(w))?\nAnswer: 82355778*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1430499, -2861066, -4291635, -5722206, -7152779?\nAnswer: -8583354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w - w + 2*w)*((0 + 2 - 1)*(4 - 4 - 4*w) + (7*w + 2*w + 0*w)*(0 + 2 - 4)) to the form i*w + c + x*w**2 and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*b - 55, -4*d - 2*b = -6*b - 68. Suppose -15*a + d*a - 20 = 0. Suppose 40 = v + a*v. Solve v = -3*k - k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1. Let a(y) = 2*y + 1. Let z be (-7)\/(-2)*(-696)\/609. Give z*n(p) + a(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 199*v = -35*v - 79*v + 5330 for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218383 and 59559?\nAnswer: 655149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64728 divided by 58.\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 325 and 185?\nAnswer: 12025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-179*g + 841*g + 17*g + (g + 2*g - 4*g)*(2 - 3 + 3))*(-2 + 5 - 1) to z + i*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -76. What is the closest to -2 in -1, -6\/11, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187*g**3 - 2*g**2 - 469*g wrt g.\nAnswer: -1122*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -366, -722, -1078, -1434, -1790, -2146?\n\"Answer: -356*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/570*(-10)\/(-12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415 + 25 - 20*o**2 - 19*o**2 - 19*o**2 + 8*o**2.\nAnswer: -50*o**2 - 390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 + 21441*u**2\/2 + 42870*u.\nAnswer: 3*u*(u + 4)*(u + 14290)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -945\/11 + 86. Let x = 6 + -6. Is i greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 183 + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-12)\/46) + (-74 - -3).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308515 is divided by 1308503?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 659077\nAnswer: -5\/659077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 2*r**2 + 2*r**2 + (-r**2 + 3*r - 3*r)*(-15*r - 40*r + 6*r) to the form a + i*r + b*r**2 + u*r**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1105)\/(-1925) + (-31)\/1085?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 4\/45 (c) -0.3 (d) -3\/2 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9153238 less than 0?\nAnswer: -9153238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i - 223 = 4*u, -5*i + 238 = u. Let t = i - 41. Calculate the remainder when 10 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 14*s**3 - 54*s**2 + 58*s - 20.\nAnswer: 2*(s - 1)**3*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.4 (b) -3\/235 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.1, 8\/9, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((((i\/i**(-14\/5))\/i)\/i)\/i)\/i)\/i)\/i*i*i**(-1\/18)*i)\/(i**(-1\/3))**(-1\/17))**(-21) assuming i is positive.\nAnswer: i**(2947\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1569907\/51 - 30784. Find the common denominator of -53\/4 and t.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1172 (b) 1519 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 2221110?\nAnswer: -2221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131474503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35\/4 + 4\/16 and 22\/33*1\/((-4)\/(-36)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57837 and -7.09?\nAnswer: 410064.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5544 divided by 2772?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -16 + -3 + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4885*b**6 + 529*b**2 + 20 wrt b.\nAnswer: -586200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-1 - 4) - 4. Let s be (w + (-38759)\/(-3))*120. Round s to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*j + 3183 = -12040 - 227 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15873 = -39*p + 75*p - 39*p. What are the prime factors of p?\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*x**3 + 0 + 0 + 2288*x**3 - 2 + 0*x - 7*x.\nAnswer: 2472*x**3 - 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6233.23 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 479.703 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -177 + 45. Let n = 125339 + -125304. Solve -i = -j + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 - 12\/(-3). Suppose 0 = 6*q - u - 7. Suppose 44 = 4*b - 0*c - 4*c, 4 = -b - q*c. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026083581 to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14428716 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3572 divided by -893.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i + 7*i - i)*(15 - 4 + 4) + (-1 - 4 + 3)*(i + 0 + 0))*(7 - 4 + 26).\nAnswer: 812*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 5. Let w be -2*657\/h - -3. Suppose 4*k - 4*d = 448, -2*k + d = -0*d - w. What is the highest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 506.2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1167*f**2 - 389*f. Let a(n) = n**3 + 3*n**2 - n. Calculate -389*a(s) + k(s).\nAnswer: -389*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 401, 4, -1, 1 in descending order.\nAnswer: 401, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.24 + -44.2. Which is the second biggest value? (a) -4 (b) 0.4 (c) w (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5746 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 56\/(-12))\/(4\/(-30)). Solve 2*y - 4*q = -16, -2*y + a*q - 22 = -2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 126630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4161, -4156, -4149, -4140, -4129, -4116?\n\"Answer: p**2 + 2*p - 4164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 8*k**2 + 13*k - 11. What are the prime factors of p(8)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 at least as big as -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152*g + 10*g - 17*g - 2862 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08796 + 2.91204. Let y = 27 + 16. Is y >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75973389 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 26*v + 3. Give o(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 3*c**3 - 2*c**3 + (4 + 2*c - 4)*(3*c**2 + 3 - 3) + 4*c**3 - 3*c**3 - 2*c**3 - 2*c**3 + c**3 + 0*c**3 + (2 - 2 - 1)*(1 - 2*c**3 - 1).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*o + 2*o - 44 = 0, s - 2*o = 16. Solve -2*w = 3*w + s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*t - 12 = 0, 0 = 3*w - t + 6*t - 28. Let y = 0.04 - 2.04. Let q = -0.9 - -0.5. Which is the biggest value? (a) y (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from hfh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by 95\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x. Let b be n(1). Let i be 284\/(-280) + (3 - b). Let f = -807\/140 - i. What is the common denominator of -57\/8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 + 6*y + 10. Calculate the remainder when 33 is divided by q(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 1. Let l(r) = -613*r**3 - r + 2. Determine l(o) - 3*n(o).\nAnswer: -613*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.2. Let t = 0.2 - o. Let d = t + 0.5. Which is the smallest value? (a) -2 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225044987 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, b: 4}. Give prob of sequence oobo.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 536 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 15. Let p = w - -32. What is the remainder when 87 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -970002*q + 2. Let k = 8 - 7. Let b be y(k). Round b to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 + 33*a + 11. What is w(14)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18660 and 240.\nAnswer: 74640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 divided by 963?\nAnswer: 83\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -12. Suppose b*x - 146 = -5*h + 649, -5*x - 805 = -5*h. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*t - 1. Let h be (2 - 4)*(-4 - t). Let o be h\/(-14) - 48299990\/35. Round o to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*q**2 + 272*a**3*q - 153*a**2 - 2*q**2 wrt a.\nAnswer: -12*q**2 + 1632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 5*j + 26, -74 = -2279*g + 2275*g - j for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138 or -0.4?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 341610 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 68*y - 3. What is r(1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7.3+-98370\nAnswer: -98377.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*m = 155, 0 = -2*m - 0*m + 4. Let i = 23 - c. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/5 - 1171*v**4\/5 + 59634*v**3 - 18220118*v**2\/5 - 7467887*v - 3763995 = 0. Calculate v.\nAnswer: -1, 95, 235, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 10*c - 5. Give t(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 51 + -50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = j - 7. What is the highest common factor of j and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:03 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 21. Let z be b(26). Let q(i) = -i**3 - 5*i**2 - 2*i - 8. Let d be q(z). Solve d*n = 5*n + 5*p - 1, -10 = -5*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1216, -1763, -1640, -841, 640, 2809?\nAnswer: 5672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let p(d) be the second derivative of 10*d**3 - d**2 - 34*d. Give h(p(o)).\nAnswer: 3600*o**2 - 240*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(o + 0 + 0) - 1 - 3*o + 0 + 0)*(o**2 + 4*o**2 - o**2).\nAnswer: -8*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 23.1. Which is the nearest to -1\/4? (a) -0.1 (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/28 + (-3636)\/(-252). Let r(s) = -15*s**3 + 5*s. Let l(h) = 7*h**3 - 2*h. Give k*l(u) + 6*r(u).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 2?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -719 = -720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 5*j - 6. List the prime factors of r(-5).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.284 and 0.2.\nAnswer: -1.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 508446582 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-1155)*7*11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:48 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377960615 plus -1629?\nAnswer: 2377958986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (5 - -6) + 1 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210110100000 - -12?\nAnswer: -210110022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**1\/f)\/f)**(-11\/3)\/(f**(-6)\/f)**(-23) assuming f is positive.\nAnswer: f**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}