diff --git "a/data/dm_maths/full_data_2/10232_11255.jsonl" "b/data/dm_maths/full_data_2/10232_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10232_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate (5 - (25 - -8)) + 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 544676 divided by 22?\nAnswer: 24758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u**4\/11 + 18346*u**3\/11 + 2840586*u**2\/11 + 108979510*u\/11 + 182113246\/11 = 0. Calculate u.\nAnswer: -73, -7\/4, 2441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17907 and 667353?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*f**2 + 336*f**2 - 1 + 185*f - 1546*f**2 wrt f.\nAnswer: -2494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 5951187?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 273, -0.041, 3\/10 in descending order.\nAnswer: 273, 9, 3\/10, -0.041, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 12. Suppose 16*g - 7*g = -6*g. Suppose -y = 3*k + 13, g = b*y + 2*k + 2. Solve 4*i - y = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/3 + 6\/(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3105602 - -24145.\nAnswer: -3081457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + ((-3192)\/36)\/(-19) + (-14)\/(-96)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29672 = -27*p + 33*p - 8746. Does 69 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128176 take away 122531.7838?\nAnswer: -122531.911976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3004 + 0.3744. What is the closest to -1 in -4\/9, -1\/5, -0.1, q?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72196, 72191, 72174, 72139, 72080, 71991, 71866?\n\"Answer: -s**3 + 2*s + 72195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j + 3*w, 2*j + 2 = 4*w + 4. Let n be 15\/((-90)\/(-24)) - (0 + 5). Let d be (j - n)\/((-6)\/6). Solve -d = 4*y + t - 1, 2 = 4*y - 2*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 4*h - 4. Let n be k(4). Let y(v) = v**2 + 2*v + 2. Let m(w) = -w**2 - w - 1. What is n*y(x) - 7*m(x)?\nAnswer: 3*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-330)\/(-20))\/(-11)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/2 of a meter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**5 - 339*i**3 + i**2 - 15240*i wrt i?\nAnswer: -80*i**3 - 2034*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15444688.5 microseconds?\nAnswer: 0.00017875796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246876648.\nAnswer: 2, 3, 10286527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/5)\/6*(-15)\/(-20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 0.24.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 + 4*z**4 + 0*z**4)*(-20*z + 16*z + 8*z) - 2*z**5 + 2*z**5 - 2*z**5.\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 48905.179 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 1. Let f(a) be the first derivative of 5*a**3\/3 + 7*a**2\/2 + 7*a + 10800. Calculate f(l) - 6*s(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296144 and 2415536.\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w - 3. Suppose -3*z - 3*v + 18 = 0, 0 = -4*z - 5*v + 4 + 21. Determine d(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-261))\/((-8)\/90)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28817, -28860, -28887, -28898, -28893, -28872, -28835?\nAnswer: -28782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16663731 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:54 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 27. Let l be d(12). Let y = -4 - -6. Suppose y*o = -2*o + 4. What is the greatest common factor of l and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -25316?\nAnswer: 25306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19592515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -402288.349978 + 402289. Let n = t + -0.65. What is n rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 - (-62)\/3. Let x = 33 - o. Let f(q) = 17*q + 9. Let b(h) = 8*h + 4. Calculate x*b(k) - 6*f(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Let p be (-2)\/(-6) + 58\/6. Let d = p - 14. Put -5, d, j in ascending order.\nAnswer: -5, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3764 (base 11) in base 13?\nAnswer: -2309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141870*q + 141871*q - 5*u + 280, 0 = -5*q - 4*u + 253 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, n: 1}. What is prob of sequence rn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 740 = -956 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2\/3, 14, 0.5, 0.1, -59\/7 in increasing order.\nAnswer: -59\/7, 0.1, 0.5, 2\/3, 4\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4608076 and 836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11214 - 11207. Solve -m - c*u = -2*u - 20, 3*m + 5*u = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*d - 46 - d**3 + 115*d to h*d**3 + y*d**2 + b + u*d and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*18\/(-8)*2. Let a = 13 - c. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 3*r - 4. Let s be i(-3). Let p = 0 + 5. Let h = p + s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = -3*b. Let t(f) = -f**3 + 3*f**2 + f. Let c be t(b). Suppose 2*d - 9 - c = 0. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*d + 28, -5*n + 4*d + 21 = 133. Let u be n\/100 + 16\/5. Calculate the greatest common factor of u and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c**2 - 12099*c - 12085. Let t(a) = 4*a**2 + 3457*a + 3453. Let k(j) = -5*l(j) - 17*t(j). Determine n, given that k(n) = 0.\nAnswer: -862, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1)*d)**(-43)*d**8*d**(-1\/4))**(-6\/19))**32 assuming d is positive.\nAnswer: d**(23280\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-11 + 5) - -7. Solve 0 = 6*h - 17 - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*c = -5 + 1, 4*c - 16 = -4*h. What is the smallest common multiple of 11 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012 (base 7) in base 8?\nAnswer: -2016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -6 + -37 + 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01342 + -0.02395. Round f to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 5*n + 3. Let v be s(5). Suppose v*r + 10 = 142. Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q + 1355 = 1910 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2 + 2*m + 1. Let u be x(-1). Let t(c) = 10*c**2 + c + 1. Give t(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259635 smaller than 93\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alra when four letters picked without replacement from rnala.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117660 and 4823.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-134)\/(-28))\/((-90)\/(-105)))\/(26\/(-312)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -21109400?\nAnswer: -337750400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -34.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4799990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 337*i*o**2*p**3 + i*o**2 - 16*i*o*p**3 - i*p**3 - i + 3*o**2*p**2 - 27*o**2 - 21*o*p + 8*p**3 wrt o.\nAnswer: 674*i*p**3 + 2*i + 6*p**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-1833) - 584\/470.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 19*m + 10*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let p(i) = 8 + 8*i**2 + 7*i**2 - i**2. Let k be (-210)\/(-25) - 4\/10. Let f(h) = 5*h**2 + 3. Let s(g) = k*f(g) - 3*p(g). Give n(s(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 392876498?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*m + 4*s - 254, 28*m - 4*s + 9 = 25*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 8290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (9 - 18 - -8) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9301 and 68251.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6.135. Let t = m + 0.035. Which is the closest to t? (a) -14 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 2*d, 2*d + 1 - 2 = -3*u. Suppose z = -2*b + 32, -3*b = -0*b - 15. Suppose -6 = -4*i - z. Sort i, 0, u in decreasing order.\nAnswer: u, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76bb57 + -13?\nAnswer: -76bb6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.22762 to the nearest integer.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 828*z**3 + 240*z**3 + 384*z**3 in the form j*z**2 + l*z**3 + p*z + t and give l.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 1. Let m be s(6). Differentiate -d**4 - 19*d**3 - 4 + m*d**3 + 0 wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*f - 3675 = -3651, 0 = 4*d + 54*f - 146 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*g - 88399 + 86119 = 0 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 15 - 2)*(0 + 3*u + 0)*(-4*u**2 - u**2 + 4*u**2) to the form l*u**3 + i*u + c + z*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4 - 1695*k**3 + 278928*k**2 - 4023552*k - 1592807424 = 0.\nAnswer: -59, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9522325 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let u(z) = z + 1. Let v be u(3). Let f be m(v). Let j(r) = 5*r**2 + 5*r + 4. Is 17 a factor of j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -499\/11 smaller than -47\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 + 504930*y - 504925 = 0. What is y?\nAnswer: 1, 100985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/11, 294, 77, 0, -0.5, -19\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 42 = -2*y. Let f = y + 113. Suppose 4*r - 3*d - 79 = 20, -3*r + f = -d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - 2*sqrt(260)\/sqrt(5))\/(2*4*sqrt(4) - sqrt(4) - sqrt(4)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -h - 17, -44 = 3*b - h - 37 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4 + 1584*g**2 - 3*g - 126.\nAnswer: -12*g**2 + 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u + 1. Let l(v) = 17*v + 2. Let j(f) = -4*l(f) + 7*z(f). Let d be (4*5\/(-160))\/(1\/16*2). Determine j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5686 - -1?\nAnswer: -5685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/496 and -101\/3080?\nAnswer: 190960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 202, 468, 930, 1654, 2706?\nAnswer: 4152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 = -j. Let z = -48 + 42. Put z, j, 0 in increasing order.\nAnswer: z, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110001001111001110 (base 2) in base 14?\nAnswer: -2478bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:48 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12131*l + 72789. Determine b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**(-30))**(-2\/65) assuming g is positive.\nAnswer: g**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51722549 is divided by 531.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 3, h: 1, i: 1, x: 3, s: 8}. Give prob of sequence hs.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 7*q - 17. Let r(s) = 2*s**2 - 4*s - 9. Suppose 5*d + 5*j = 40, 2*j + 4 = 18*d - 16*d. Give d*r(t) - 3*m(t).\nAnswer: -2*t**2 + t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d**6\/3 - 24*d**5\/5 - 8*d**4 + 8*d**3 + 18*d**2 + 73. Suppose x(b) = 0. Calculate b.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0858 + -0.4858. Which is the closest to 0? (a) x (b) -4 (c) -8.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 14*w**2 + 11*w - 9. Is x(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.1, 0.2, 1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l*l**(1\/2))\/l)**(-6)\/(l*l**(1\/2))**(-33) assuming l is positive.\nAnswer: l**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 111100111001001111 (base 2) to base 9\nAnswer: 420126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5323 (base 8) to base 4.\nAnswer: 223103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 3)*(17*a + 2*a + 0*a)*(a + a - 5*a).\nAnswer: 342*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(392)\/sqrt(7))\/sqrt(7))\/((sqrt(36) - sqrt(576)*3)\/sqrt(9)).\nAnswer: -6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccwwccccwcwc. What is prob of sequence wc?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**5\/20 - 7*o**4\/12 + o**3\/6 - o**2 - 18*o - 2. Let x(h) = 8*h - 3. Calculate the remainder when x(2) is divided by l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 10 = -5*u. Suppose 0 = -u*f - q - 5, -2*f = 4*q - 6 + 26. What is the fourth smallest value in f, -0.3, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58310, -58305, -58310, -58331, -58374?\nAnswer: -58445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 12. Solve 4*p - b = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367733539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900 = -108*u - 28*u - 44*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1737 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, w: 6}. What is prob of sequence xwxx?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + 155. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s - 252*s + 3*x + 10 = -124*s, 309 = -301*s - 2*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 316 - ((-2)\/1 - -4). Let z = -2515\/8 + q. Let t = 33\/8 - z. Which is greater: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -1.8. Let o be (-1)\/(-3) - (-8)\/(-6). Let r be o\/4*16\/(-6). Do z and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64447 is divided by 398?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*((h**(-1\/3)*h)\/h)\/h))\/h)**7*(h**(-1\/3)*h*h)**(-9\/8))**(-1) assuming h is positive.\nAnswer: h**(-11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 7*h + 13. Let r = 30 - 37. Let k be d(r). Suppose -k*l - 212 = -17*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*(-24)\/15. Suppose 5 = l*i - 23. What is the smallest common multiple of 9 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344 = 190*c - 361 - 245 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 3*p**6\/40 - 4*p**3\/3 - 2*p**2. Differentiate d(t) with respect to t.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. Suppose k = 7*f - 25 - 3. Let g = -8 + 7. Put g, f, -5 in descending order.\nAnswer: f, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) 3\/4 (b) 2769.3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76) - 4*sqrt(19)*1 - ((sqrt(152)*3*-3)\/sqrt(8) + 3))**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 56*b**2 + 6*b. Let y(u) = 282*u**2 + 29*u + 1. Let w = -172 + 170. Let k(r) = w*y(r) + 11*a(r). Find the second derivative of k(p) wrt p.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*k - 312 = 0, -5*i + 4*i = 5*k - 130. What is the remainder when 58 is divided by ((-4)\/(-6))\/(5\/i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 72. Let o be 12 + y - (39 - 34). Let w(g) = g**3 - 6*g**2 - g + 1. What is w(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*p + 34 = 0, -4*v - 4*p + 14 = -5*p. Let w(h) = -5*h + 4. Let m(f) = 16*f - 13. Give v*m(g) + 7*w(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*t = 2*t + 3, 0 = i + 2*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7650 and 120?\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 702995.31ms in hours?\nAnswer: 0.195276475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/23)*s*s**2*(s**(-9)\/s)\/(s**(3\/4)*s) assuming s is positive.\nAnswer: s**(-813\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2 and (-325)\/90 + (-3)\/((-9)\/6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1446 - -9889. List the prime factors of a.\nAnswer: 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 4*s**7\/105 + 24*s**5\/5 + s**4\/3 - 28*s**3 - 2094*s**2. Find the second derivative of z(u) wrt u.\nAnswer: 96*u**2 + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v + 39. Suppose x - 2 = -11. Let f be q(x). Let l(p) = -2*p - 17. Let o be l(-9). Solve -m - o + f = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21131.2042 - -21126. Let f = -17.8 - -23. Let u = q + f. What is u rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 41304 = 7*z - 3*z, -5*u = 4*z - 206456. Suppose -u = -6*h - 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -3*l**4\/2 - 5*l**2\/2 - 3. Find the second derivative of a(k) wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = 3*x. Let n be -1 + (-32)\/(x - 1). Let d = -1 - -2. Solve -2*t + d + n = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 2 = 13*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-200)\/805) - 6\/60. Find the common denominator of -38\/51 and 2\/i*-2 - (-116)\/240.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 6, 0.01, -3\/4, 2\/33, 17?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/140)\/((-20)\/(-920))*-21\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 + h + 1. Let o(i) = -3*i**2 - 3*i - 3. Let y(p) = p**3 + 8*p**2 + 5*p - 17. Let c be y(-7). Calculate c*b(v) - o(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -23 + 37\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44690 divided by -4469\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k**(-3\/7)))\/k*k**(4\/5)*k\/(k**(-2)\/k)*k**9)\/((((k**1\/k)\/k)\/k)**(-1\/67)*(k\/k**2)\/k**(-4)) assuming k is positive.\nAnswer: k**(26261\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648937, 1297830, 1946723?\nAnswer: 2595616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -23. Let t be (-42)\/110 + (-1)\/(-5). Let l = 9.0604 + -0.0604. What is the third biggest value in l, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -16*k**2 - 7*k + 1. Let y be s(6). Let r = y - -13553\/22. Calculate the common denominator of r and 77\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**5 + s**3 + 24122*s**2 + 283567*s.\nAnswer: 40*s**3 + 6*s + 48244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -21 - 4) + (0 - -23)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114686704 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiwwiwwwwiwiiwiwwi. Give prob of picking 4 w.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -98, -2, -0.3, 13, -5, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.03899?\nAnswer: -0.06101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3005 divided by -6.\nAnswer: -3005\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = v + 7, 19 = -2*v + 3*f - 0*f. Suppose 0*l - l + 5 = 0. Sort v, 0, l in increasing order.\nAnswer: v, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100101111 - -1?\nAnswer: 111100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10107, 40342, 90735, 161286, 251995?\n\"Answer: 10079*w**2 - 2*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695638 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5860)\/7325)\/(1*(-8)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8147974?\nAnswer: 2, 223, 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -8*p**3\/3 - 250. Calculate v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/357)\/((-2)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -14*u + 2. Let z(t) = 7740*t**2 + 1619*t + 19. Let n(w) = -9*k(w) + z(w). What is the second derivative of n(v) wrt v?\nAnswer: 15480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 47*j + 26. Let t be r(-16). Solve 3*x - 2 - t = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 892.55513 + -892.7. What is t rounded to three decimal places?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:13 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5580\/(-1386))\/((-32)\/(-49)). Let c = a + 119\/16. Determine f, given that -c*f - 18\/11*f**2 + 4\/11 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 7\/5, 0.22158, 0, 0.4?\nAnswer: 0.22158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11219*z + 1131 = 11248*z. What is the highest common factor of 2379 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-28)*-6)\/(-1*1\/(-4)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(11) - (sqrt(55)\/sqrt(80))**2) + -2*(sqrt(11) + sqrt(11) + sqrt(176))**2 + 4 + 4*-2*(0 + sqrt(11)).\nAnswer: -12635\/16 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 9*b - 14. Calculate a(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1a8b?\nAnswer: 1a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 3 - 3*u**3 + 3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2. Let k(x) = 10*x + 1. Calculate k(z(c)).\nAnswer: -20*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350\/11 + 32. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -44\/9 (b) 573 (c) -0.26 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*y**2 + 30*y**4 + 0*y**3 - 2\/5*y**5 + 0*y.\nAnswer: -2*y**4*(y - 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 479*y**2\/2 - 836*y + 2964. Differentiate k(j) wrt j.\nAnswer: 479","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -783722 by 216.\nAnswer: -391861\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755259802?\nAnswer: 2, 11, 71, 131, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11339*b**4 - 1086.\nAnswer: 45356*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 14*a**6\/15 + a**4\/12 + 46*a**2 + 124*a. What is the derivative of g(o) wrt o?\nAnswer: 112*o**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 32916088?\nAnswer: 98748264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/6690 and 81\/1394.\nAnswer: 4662930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 + b**2 - 2*b + 1. Let o be h(1). Let y(c) = -c - 4. Let k(p) = 1. Let v(m) = -2*k(m) - y(m). What is the units digit of v(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 0.1. Suppose 24 + 9 = 3*r. Suppose 5*m - 19*m = r*m. Which is the third smallest value? (a) -0.1 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from esesssaedeebdzsebs.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4351\/8 + -539. Let c(w) = -67*w + 23. Let o be c(-15). Let n = o + -2117\/2. Find the common denominator of b and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16731 by -1521.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 52644*w.\nAnswer: 3*w*(w - 17548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g + 5247 - 5247.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5205.\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + 1 + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2) + 28\/12. What is the third smallest value in i, -2\/7, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 0)\/((-12)\/(-15)). Suppose -v*d + 126 = 4*y - y, 5*y + 110 = 5*d. Calculate the least common multiple of 39 and d.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, f: 7, d: 4}. What is prob of sequence ddd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 r, and 1 u when three letters picked without replacement from {g: 1, k: 1, r: 3, u: 2, w: 8, a: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/5, 2\/9, -3, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 30. What is the third smallest value in 0.5, 2, y, -0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 4, x: 2, d: 1}. What is prob of picking 1 f, 1 x, and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6.3. Let y = 33 - 32.77. Let k = l - y. What is k rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Let f be (-15)\/(-9) + 106\/(-159). What is the closest to o in 0.2, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 10*k + 4. Let t be (-4)\/10*(-30)\/2. Calculate the smallest common multiple of (-169)\/(-507) - (-2)\/((-6)\/(-29)) - 4 and a(t).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 38 = -30. What is the second derivative of -2*t**d + 4*t**2 + 77*t - 10*t**3 - 69*t**3 wrt t?\nAnswer: -474*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1158*q**3 + q**2 - 15*q + 15. Let a be z(1). Calculate the highest common factor of 122 and a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -528 + 533. Which is the closest to -2\/7? (a) 0.3 (b) g (c) -1.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.5, 3, 3\/4, -190?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 285 = 890. What is the remainder when 163 is divided by i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 60*j**2 + 34 - 61.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**3 - j**2 + 7*j + 32. Let h(n) = 3*n**3 - 2*n - 11. Let v(c) = 11*h(c) + 4*o(c). Let r be v(5). Let m = -44 + r. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -12) + (-1 - (11 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 77. Give n(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/30 + v**4\/8 + v**2. Let k be (-5 - -1)*(-3)\/3. Let x(h) = -5 + 7*h + k + h**3 + 2 - 5*h**2. Give -2*x(f) + 5*y(f).\nAnswer: -2*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xssgxv. What is prob of sequence xxv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2659 + -104 + 13 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 217, 269, 353, 469, 617, 797?\n\"Answer: 16*n**2 + 4*n + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243.3 + 270.3. Let w = -373\/3 + 123. Which is the second biggest value? (a) w (b) m (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 58. Let n be x(9). Let h(b) = 6*b - 92. What is the tens digit of h(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(3\/7)\/u)*u*(u\/((u\/((u**(-13)*u)\/u)*u)\/u))\/u)**(26\/5) assuming u is positive.\nAnswer: u**(-1898\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 3. Calculate the remainder when -3*2\/12*-86 is divided by h(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 37 = -n. Suppose -128 = -5*q - 2*s, 4*q + 4*s = n + 78. Solve 15 - 51 = 5*b - 4*d, 3*b - 3*d = -q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*t - 940 + 492 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020 + -31133?\nAnswer: -23113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -257703*j**3*y - 560498*j**3 + 3*j**2*y - 3*j*y + 7 wrt y?\nAnswer: -257703*j**3 + 3*j**2 - 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-16)\/(-80)*((-533)\/(-1))\/13?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/10 + -1\/2. Let p = -32 + 35. Sort 8, g, 2\/11, p.\nAnswer: g, 2\/11, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1. Let i(z) = 4*z + 6. Let r(d) = -i(d) + 8*m(d). Differentiate r(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/120 - h**5\/10 - h**4\/6 + h**3 + 598*h**2 + 7. Let d(m) = -2*m**3 + 5*m**2 + 4*m - 5. Determine 6*d(o) + 5*v(o).\nAnswer: -7*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 5) to base 12\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 428, 2, -7, 4, 0, 5, -4.\nAnswer: -7, -4, 0, 2, 4, 5, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 41, -3\/7, -2\/9?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354010 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 15*h - 21. Let a be v(12). Solve i = -0*y + y + 3, 5*i = -2*y + a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37742029719 - 0.5389\nAnswer: -37742029719.5389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -268308017*v**2 - 317467994 wrt v?\nAnswer: -536616034*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 + 5*a**2 - 8*a + 5. Let i(t) = -2*t**3 + 6*t**2 - 9*t + 6. Suppose -l = 3*s - 3, -6*l - 3*s + 6 = 33. Calculate l*n(d) + 5*i(d).\nAnswer: 8*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 + w**2 - 3*w + 1. Let m be h(1). Solve m = 3*l + 3*a - 2, a = 3*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, e: 1, j: 2}. Give prob of sequence nj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, 0.05, 192 in decreasing order.\nAnswer: 192, 11, 2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 18 + z**2 - 22 + 6*z + 5*z**2 - 4*z**2. Let y(g) = g**2 + g. Calculate -n(f) + 4*y(f).\nAnswer: 2*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.468 + 131.532. Let x = b - 136. Put -29, 5, 2\/3, x in increasing order.\nAnswer: -29, x, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5896 or 1.3?\nAnswer: -5896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 10) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3200 - 3199.22. What is the closest to -1\/2 in -0.3, -1\/2, i, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -396, -426, -456, -486, -516?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t + 4. Let a be v(-5). Let x be (8\/5)\/(a\/(-20)). Let s be -6*(-3 + x\/(-3)). Solve -n + s*n = -3*p + 6, -5*p = -5*n - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/3438 and -89\/16.\nAnswer: 27504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -15. Let p be (c\/(-16))\/((-1)\/10). Find the second derivative of -2*o + 0*o**5 - o + p*o**5 wrt o.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*q - 11 = 0, -17*g + 2*q = -16*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y - 19441 = -593*y - 501*y + 92885 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (472*497\/(-42))\/(4\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(4\/8 + 0). Suppose -11*z = -3931 + s. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 168. Suppose -w + o = 4*w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/6 of a hour?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, p: 2, n: 2}. Give prob of picking 1 q, 1 c, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from crcrrcrrccurr?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(44160\/(-15300)) - (-27 - 5))\/((-10)\/(-8)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**2 + 26480*h - 79512. Give q(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.9288 nanometers in meters?\nAnswer: 0.0000000939288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + 8. Let n be 91\/28 + (-1)\/4. Suppose 12 + 0 = n*o + 3*v, 3*o = -5*v + 14. Solve -7 = 4*m + 5*l, 0*m - o*m - x = 5*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/18 (b) -7 (c) -2.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 8*y - 100 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170614701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 9*j**2 + 28*j + 32. Give x(-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (81 + -210) - 25.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 4417825?\nAnswer: -13253475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5 + 74*g**4 - 37*g**3 - 296*g**2 + 100*g = 0. Calculate g.\nAnswer: -25, -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.51 + 26.4. Let z = o - -0.11. Let f = z + -10. Which is the nearest to -2? (a) f (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 191105.080793.\nAnswer: -191104.880793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/92 and 15\/506?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. Let i = -1474 - -1476. Suppose 2*t - f*r + 5 = -2*t, -2*r = i*t - 20. Solve t*q = -y + 4*q + 3, -3*q - 1 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 4)*14\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4994.83 + -4995. What is the closest to -0.2 in 4, -2\/19, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -39*l**2 - 1149*l - 6853. Give a(-21).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 8675554*z.\nAnswer: -2*z*(z + 4337777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -37, 146, 5 in decreasing order.\nAnswer: 146, 5, 4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b - 9. Let y be (6 - 2)*(-18)\/12. What is the units digit of k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -99.0119. Round y to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1617\/392 + (-2)\/(-4)*-1 + -3\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916316.3 milliseconds in minutes?\nAnswer: 31.938605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485 and 1552.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or -61751?\nAnswer: -61751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2 - 5*t + 0*t)*(-6 + 4 + 1).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -1\/8691896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 244885833 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(42)\/sqrt(6) + 4 + 0 + 4 + -6*(sqrt(567) + 3 + sqrt(567)).\nAnswer: -107*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = 0, 0 = 3*w + 3*r + r - 26. Let o be (-3 - 21*-2)*w. Find the second derivative of -5*f - 6*f**5 - o*f**2 + 78*f**2 wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -512 + 529. Let r be (-3)\/2*2 - -14. Is r at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2*d + 16. Let p be r(5). What is the second biggest value in 0.7, -4, p?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 2 - 2 - 2*f)*(-2*f + 3*f + f) to the form a*f + c*f**3 + v + z*f**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*n**3 + 4 + (-5*n**2 - 2*n**2 + 5*n**2)*(10*n - 2*n - 1 + 3).\nAnswer: -18*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 726?\nAnswer: 46464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + l = 6*l - 20, 0 = 4*l - 8. Let t = x - -2. Suppose t*h + 4*h + 4*q = 176, -2*q = 4*h - 168. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58924*r + 58884*r = 800 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/10*(-12)\/((-36)\/15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*k - 4*c, 3*c + 23 = 2*k + 8*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**3\/6 - o. Let r(v) = 8*v**2 - 3*v + 2. Let p be r(1). Let i(n) = n - p*n + n. Calculate i(c(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 8*m**2 + 7*m + 1. Let j be w(7). Suppose c - t = -1 - j, -5*t + 11 = -4*c. Sort c, 6, 2\/3 in decreasing order.\nAnswer: 6, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - ((10 - 7) + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 5*v**2 + 4. Let k = 398\/13 + -10408\/351. Let z = k + 1493\/216. Calculate the common denominator of z and b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147870215969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 - 110. Is 31 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 51*r**2 + 30*r - 37. Let v(b) = 4*b - 103. Let l be v(32). List the prime factors of n(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r. Suppose 0 = l + l - 6. Factor 2\/9*w**l - 2\/9*w**2 + r*w + 0.\nAnswer: 2*w**2*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 74*g - 1. Let o be c(2). Suppose 3*y = 39 + o. Suppose 2*w + 12 = y. What is the greatest common factor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106502207 greater than or equal to -106502208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*h - 136*h + 168 = -288*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(5\/3)*a)\/(a*a**4)*(a**(1\/3))**13)**(-5\/8) assuming a is positive.\nAnswer: a**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 392652 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o - 11978 + 11696 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 13*s**2 + 3. Let m be c(-13). Solve 0 = 3*b - m - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2737*y - 404*y - 2139*y + 1186*y - 654*y)*(-2 + 0 + 3) to the form q + b*y and give b.\nAnswer: -4748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -39. Suppose 0 = x - 3*x, d*l + 2*x - 18 = 0. What is the derivative of 4*f + l*f + 5 + f wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/1120 + (-2)\/10 + -26.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**5 - 8*p**4 + 97*p**2 wrt p.\nAnswer: 180*p**2 - 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxddfdfqxfdjfdfxxfd. What is prob of sequence dddj?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(h**2 + 0*h**2 - 3*h**2) + 136*h - 2*h**2 - 136*h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/30)*t*t**(-23\/2) assuming t is positive.\nAnswer: t**(-157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145813152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 248, 58, -5?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/166551 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/40 in 0.17, 1\/2, -0.7, 5, 2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -9, -3, -5, 0.14, 1 in decreasing order.\nAnswer: 1, 0.14, -0.4, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 + 20 = 2*i, u = -4*i + 16. Suppose 2*j + 4*h - 2270 = u, -5*h + 3393 = 3*j - 2*h. List the prime factors of j.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x - 38*x + 704 = -34*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let u = o - -105. Let c = u + -102.959. Round c to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109896 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = -114. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.314 + -18.93. What is the biggest value in k, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Solve -c*s - 2*d = 6, -d + 2 = -2*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5*(5 + (0 + sqrt(128) - sqrt(128))) - (-4 + -2*sqrt(128) + 3)))**2.\nAnswer: 704*sqrt(2) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -23*h - 54 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*t**3 + 4677*t**2 - 829625*t.\nAnswer: 54*t + 9354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = k. Let q(o) = 8*o. Let n(c) = c. Let h(j) = k*q(j) - 6*n(j). Let r(d) = -2*d**2. What is r(h(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*u + 33 = 0, 2*g + u = -0*g - 11. Let z = g - -11. Suppose -31 = -l + z. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:06 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13483\/2 or 6742?\nAnswer: 6742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:17 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p + 72 = -90. Which is the closest to 2? (a) p (b) -5 (c) 1\/7 (d) 194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:06 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.073 + 2.073. Let a = v + -2.4. What is the closest to -0.03 in a, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 5 + 2)*(g + 0*g - 2*g) + (2 + 1 - 5)*(0*g + g - 3*g) to the form w + y*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.14 (b) 0.01 (c) 1 (d) 22 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * -28.2.\nAnswer: -1381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from ilbakbg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*p = j, 0 = -j - 3*p + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 54*q**2 - 89*q - 18. Let c(d) = 36*d**2 - 64*d - 12. Determine 7*c(h) - 5*j(h).\nAnswer: -18*h**2 - 3*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and 851.\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p - 2 + 5*p**2 - 13*p**2 + 9*p**2. Suppose 16 = 2*t - 2*y, 2*t - 30 = -2*t + 3*y. Determine q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181938 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/141721, 97, 1?\nAnswer: -2\/141721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 7:12 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q + 12. Let v be 18\/(-4) + (-28)\/(-7). What is the closest to 1\/2 in 4, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 949 in -5, -110.9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62978461812 - -0.1.\nAnswer: -62978461811.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*r + 1 - 9, 0 = -c + 2*r + 26. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*b - 9618 + 9618 - 1340*b.\nAnswer: -1601*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = 14. Let g(d) = -6*d**3 + 7*d**2 + 7. Let j(h) = 3*h**3 - 4*h**2 - 4. Give v*j(r) - 4*g(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 9) in base 15?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/(q**(-4\/17)\/q))\/q**(-2))\/((q\/q**7)\/q*q*q\/(q*q**11*q)) assuming q is positive.\nAnswer: q**(429\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, v: 9, u: 4}. What is prob of picking 3 y?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 167\/(-835) - 2\/(-10). Sort q, 3, 23, 24 in descending order.\nAnswer: 24, 23, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*z + 1535 + 3045 = 0, -4*f - 3*z + 3663 = 0. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e6a6 (base 15) in base 13?\nAnswer: -36309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 12 - 2. Suppose x*u + 5*n + 50 = -0*u, 2*u + 22 = -n. Let l = 6 - u. What is the highest common divisor of l and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -3*v. Let b(c) = 2*c - 7. Let t be b(v). Let g be (-1)\/t - (2 + -6). Solve -10 = 2*f - 3*f + g*u, -11 = 4*f + 5*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71609*n**2 + 9*n + 22?\nAnswer: -143218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/7 - 38*x\/7 = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -17*t + 79. Suppose 2*p + t = q, -3*p - 29 = -4*q - 9. Solve -q*w + 0*w - 2*b - 5 = 0, w = 2*b + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -10 + 6 - (1 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - sqrt(77)*-3)*4)\/(sqrt(77)\/sqrt(847)).\nAnswer: 187*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (98\/21)\/((-6)\/(-3393)). Suppose -t = 15*s - 28*s. List the prime factors of s.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64\/7 of a week?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1012.71033ns?\nAnswer: 0.000000000011721184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 84 - -7) + 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omfofmommoom. What is prob of picking 1 o and 1 m?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/16)\/((t\/(t*t*t\/t**(4\/9)))\/t*t))\/((t*t**(1\/3)*t)\/(t*t*t**2*t)) assuming t is positive.\nAnswer: t**(617\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 14*q**2 + 12*q + 210. What is f(-13)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.166cm to millimeters.\nAnswer: 291.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/14*63\/36*6\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -6, -2, -0.181, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/(-2))\/((-1)\/4). Let y be 10\/(-8)*(-4)\/c. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 651917224?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30.8 times -3\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, -21, -123, -285, -507, -789?\n\"Answer: -30*y**2 + 48*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 13 - 22 - 53934*n.\nAnswer: -53934*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41264 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -561, -1103, -1645, -2187?\n\"Answer: -542*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40977 - 40975. Let t(i) = i**3 + 3*i**2 + 0*i + 2*i**2 - 3 - 5*i. Let c(w) = -2*w**2 + 2*w + 1. What is r*t(q) + 5*c(q)?\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 4*q + 0*q + (4 - 6 + 4)*(26*q - 11*q + 11*q).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 382627*-1.25\nAnswer: -478283.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -256836 divided by 5036?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 370677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/(-12) - (-2 - 18\/(-8)). Let r = 0 - -2. Let c(y) = 2*y**r - 5*y**2 + 7*y + 2*y**2 - 4. Give c(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5126477600 rounded to the nearest 1000000?\nAnswer: -5126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 4:04 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/14 and 24\/371.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44143213 (base 6) to base 5\nAnswer: 314220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/4)\/(9\/240). Let l = c + -76. Suppose 4*w - 167 = -3*y, -52 = -l*w + 5*y + 75. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -4 (c) 0.05704 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*d**3 - 131540*d**2 - 133074*d - 1012 = 0. What is d?\nAnswer: -1, -2\/261, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7501*k - 7 + 1567*k + 3290*k + 4157*k + 8.\nAnswer: 16515*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2184 divided by -31\nAnswer: -2184\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 + 3*i**2 + 3*i. Let r(h) = -5*h**3 + 3*h**2 + 2*h. Calculate 2*r(d) - 3*s(d).\nAnswer: 2*d**3 - 3*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10203999 rounded to 5 dps?\nAnswer: 0.10204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 257*p + 515. Let m be j(2). Solve -3*x - m*h + 40 = x, -3*x = 5*h - 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14538 - -50730\nAnswer: 50730.14538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*r + 2*r - 20 = 0, -5*r + 61 = 3*g. What is the remainder when 41 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a9077 (base 15) to base 10\nAnswer: 536737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -8*q - 71, 5*a - 39*q - 130 = -44*q. Solve 0 = -4*r - 4*t + 12, 0 = -a*t + 34*t - 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56993 is divided by 436.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 11. Let p be (-8 - -16) + (-2)\/1. Let w be u(p). Solve -w*o + v + 4 = 0, 0 = o - 2*o - 3*v + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 37*l + 1. Suppose 4*d - 7 + 3 = 0. What are the prime factors of c(d)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 646 or 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -749 - -1051. Let s = v - 270. Calculate the least common multiple of 32 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 32*w = -95 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/20)\/(51\/136).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 476848 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + z = 2, -3*z - 11 = -2*n - 3*n. Let d(f) = 0*f + 0*f + 14 - f + n. Is d(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/(-6))\/(-2)*(-9)\/246. Let t be 6 + -7 + 2 + (-2)\/(-1) + -4. Which is bigger: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 999062 divided by -6\nAnswer: -499531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -963 by -321.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 25. Let n be (1 - b)*(4 - 6). Solve 3*d - 5 = 5*q, n*d - 2*q = d + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j + 3*j)*(-84*j**3 + j + 444 + 81*j**3 + 2*j**2 - 381).\nAnswer: -3*j**4 + 2*j**3 + j**2 + 63*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 2, z: 8, h: 2}. What is prob of picking 1 e, 2 z, and 1 y?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 375394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + -0.2. Let h(u) = u**3 + u**2 - 5*u + 2. Let f be h(2). Which is the closest to i? (a) -1 (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 13*i - 19. Let y be n(-3). Let w = 79 - 23. Suppose y*d - w = -12*d. What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*j + 233*j = -81. Suppose 4*h - j*i - 2216 = -6*i, 2*i = h - 554. List the prime factors of h.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-6)*(-16)\/(-12). Suppose m - t = -3*m + 32, -t + u = 0. Calculate the lowest common multiple of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20236.\nAnswer: 2, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*j + 6*j + 102, 5*f = 3*j + 159. Calculate the highest common factor of f and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + j)*(-4*j + 4*j - 2*j) + 156 - 23*j**2 - 156.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 29*b**8\/56 + b**6\/3 - b**4\/4 - 26*b**3\/3 + 2*b - 620. What is the third derivative of y(i) wrt i?\nAnswer: 3480*i**3 + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 83 + 159. Let j be 180\/22 - (5 - (-106)\/x). Suppose a - j = -3*a. Solve -5*p + 17 = 3*c - c, -2 = -a*p + 4*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -11. Suppose 3*u - 63 = -4*c, x*c - 105 = -c + 5*u. Suppose -2*f = -29 - 77. What is the remainder when f is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -a1?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -127*o**3 - 2*o**2 - o. Let d be q(-1). Suppose 0 = -2*g - 0*g + d. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 332 - -484. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 599 + 584 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063285 rounded to six dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**2 + 2*s**2)*((10 + 1 + 10)*(0*s + s**3 + 0*s) + (3*s**2 - 3*s**2 + s**2)*(7 - 7 - 4*s)).\nAnswer: -17*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/526 - 1187\/23670. Let k = -7\/45 + s. Which is the closest to 2\/3? (a) -0.4 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p - 2*o - 20, -3*p = -5*o - 28. Let z = 26 - p. Is z\/10*(-4328)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 3854*v**3\/3 - 1211*v**2 + 5995*v. What is the first derivative of t(b) wrt b?\nAnswer: 7708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x + 55*x = 5*q + 5, 5*x - q = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.1 (c) -0.4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((16\/1)\/(-8))\/2)\/((-1)\/(-19)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/3 - 14*z\/3 + 80 = 0 for z.\nAnswer: -15, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3 - 29550*x**2 + 5736535*x + 5766090 = 0?\nAnswer: -1, 202, 5709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1642 + -1639. Solve a + 18 = -2*a - j*s, -3*s = -2*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:51 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.874 - 0.106. Let c = x - 0.02. Let j = c + 24.7. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 27 = g - 134, -5*g + 2*m + 690 = 0. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -194*n**2*t*w**3 - n**2*t + 2*n**2*w + 113*n**2 + n*w**3 + 2*t*w**3 wrt t.\nAnswer: -194*n**2*w**3 - n**2 + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 5 - 1\/120*g**5 + 0*g + 1\/4*g**4 - 2*g**3 + 0*g**2. Let x(a) be the third derivative of d(a). Calculate x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 200 = b, -3*m - b = -235 - 65. Suppose 5*a + m = d + 3*a, -455 = -5*d + a. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(6\/7)\/i*i)**34*i**13\/((i**(-4\/11)\/i)\/i) assuming i is positive.\nAnswer: i**(8663\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3)*(-20 - -2). Let y be 1\/3 + l\/(-27). Solve 5*h + y = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, u: 3}. Give prob of sequence dudu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/20*((-135)\/27 + 7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/60*(-8)\/9*294\/(-28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100344309 rounded to the nearest one million?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 84\/(-70))\/(2 + (-1)\/1). Factor -d*h + 0 - 4\/5*h**4 - 12\/5*h**3 - 12\/5*h**2.\nAnswer: -4*h*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 56*l**2 + 780*l + 1. Let o be m(-26). Which is smaller: o or 43\/351?\nAnswer: 43\/351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 14)\/(-98) - 399\/(-98). Factor -2\/7*n + 8\/7*n**2 + 12\/7*n**g + 0 + 22\/7*n**3.\nAnswer: 2*n*(n + 1)**2*(6*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7979.\nAnswer: 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24346 + -1?\nAnswer: 24345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -47, 5, 2, -15, 4\/7, -13\/3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-741)\/(-78)*(-50 + 16 + 22).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -61*v + 60*v - 2*n, -2*v + 272 = -4*n. Suppose -6*d = -2*d - 52. Calculate the remainder when v is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 less than or equal to 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r - 136360 = 6851*r + 5573*r + 25893 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -1 + 32\/(-14). Let i = -7 + 2. What is the second biggest value in -0.5, t, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 e when three letters picked without replacement from ydddedyyddddddfdpp?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*m + 349*m - 7 = k, 4*k = k + 4*m - 35 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 8.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.36 and 639?\nAnswer: -869.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 45*f**2 - 3*f + f - 34*f**2 + (2*f + 4*f - 4*f)*(-3*f + 3*f + f) to the form s*f**2 + m*f + z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -72) + 50 + -33?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/7 + 3372*d\/7 - 1421298\/7 = 0. What is d?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(480))\/((sqrt(60)\/sqrt(2))\/sqrt(3)))**2.\nAnswer: -40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 5. Solve u*h - 6 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**3 - 7*s**3 - 1 + 2*s**4 - s**2 - s**2 in the form h + v*s**3 + m*s**4 + y*s**2 + d*s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 0*w)*(2*w - 3 + 3)*(0*w**2 + 2*w**2 - 5*w**2).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/2)\/(-2 + -1). Solve a = 2*a + f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51470963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -25*w + 48*w**2 - 107 + 13*w + 14*w. Let c(x) = x. Give c(i(n)).\nAnswer: 96*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -125.5.\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + r - 2. Let a(j) = -10*j**2 + 8*j. Let y(t) = -a(t) - 4*c(t). Determine y(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**4 - 100*h**3 - 49*h**2 + 260*h + 189. Let f(y) = -20*y**3 - 10*y**2 + 52*y + 38. Let z = 56 - 54. Let r(n) = z*u(n) - 11*f(n). Factor r(c).\nAnswer: -4*(c - 5)*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 9:37 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*p + 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5\/(-240)*-4 - (-87540)\/144 and 228?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11808670 to the nearest integer?\nAnswer: 3436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43235877 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255922 (base 13) to base 8.\nAnswer: 3331605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 13*k + 285. Suppose k - 47 = w. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51732 (base 8) to base 16.\nAnswer: 53da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5363 and 5.066.\nAnswer: 5368.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 + -0.2. Let b = -14 + 3. Let x be 2\/(-7) + (b - -11). What is the nearest to -1 in x, 3\/5, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + 2*(sqrt(6)*-2 + sqrt(6)))\/(sqrt(6)\/(-2*sqrt(2))) + (sqrt(20)\/(-1*sqrt(10) - sqrt(10) - sqrt(10)) + 4 + sqrt(6)\/sqrt(3) + -3)**2 + 2.\nAnswer: 35\/9 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(418)\/(sqrt(44)\/(-2*sqrt(4))))\/(sqrt(24)\/(1*sqrt(108))).\nAnswer: -6*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -581856 (base 9) to base 2\nAnswer: -1010101001111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 3, -2, -4, 4, 186 in decreasing order.\nAnswer: 186, 42, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxoxofx. What is prob of picking 1 u and 2 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(484) + sqrt(484)*1)*6)\/((sqrt(42)\/sqrt(3)*-5)\/(sqrt(7) + 5*-2*sqrt(7))).\nAnswer: 7128*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/56323796 and -15\/44.\nAnswer: 619561756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 59?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9800846 - -5440846. What is a rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*t - 3890 - 2275 = 2391 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.11814 litres to millilitres.\nAnswer: 85118.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 + 1 = 0. Let n be d\/4 + (-260)\/(-16). Suppose -2*o = -6*o - 3*f + 43, -3*o + f + n = 0. What is the remainder when 19 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1428*n - 641. Is w(-51) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -78. Suppose 2*f + w*q + 7 = 23, 4*f - 2*q - 20 = 0. Solve 2*z - f = -0*z + 4*o, 0 = -4*z - 5*o + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/4)\/(-2) - 6. Let a = s + 7. Suppose 0 = -a*f + h + 38, 4*f + 5*h = -3 + 29. Calculate the greatest common divisor of f and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from tttsthhhfht.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/351 (b) 51 (c) 0.1 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 2*w**3 + w)*(-4 + 1 + 0) + 91*w**3 + w + 28*w**2 - 13*w - 87*w**3 + 1 in the form p*w**2 + z + b*w + k*w**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l - 5*l)*(0 - 2*l**3 + 0 - 2).\nAnswer: 12*l**4 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 26 + 0*n + n**2 + 12 - n + 15 as x + l*n**2 + t*n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*f = -10, -u - 2*u = 4*f + 20. Suppose 0 = 3*k - 2*k - 4*r + 24, 27 = -k + 5*r. List the prime factors of (u + 7)*k\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056762 rounded to six dps?\nAnswer: 0.000568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (141*156\/10998)\/((-58)\/(-4))?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114, 237, 358, 477, 594, 709, 822?\n\"Answer: -j**2 + 126*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1)**22\/(t\/t**11*t*t**(-6\/13)*t) assuming t is positive.\nAnswer: t**(110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -51.\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 707814 - -2?\nAnswer: 707816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34, -0.1, 2, 22, -5 in decreasing order.\nAnswer: 22, 2, -0.1, -2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (8 + -14)) + -23 - (6 + -14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (5 - -30)) + 33.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**5\/4 - r**3\/6 - 3*r + 3. Let f(m) be the first derivative of x(m). Find the second derivative of f(g) wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9459, -37826, -85207, -151686, -237347?\nAnswer: -342274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1812744 and 746424.\nAnswer: 12689208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5219250 divided by -3\nAnswer: -1739750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/((-13)\/728*28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74784 and 2.001.\nAnswer: 149642.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2616 + -2235?\nAnswer: -5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 515105 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 170 (c) 4 (d) -35.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 1 + 1 - 2*z**3 + (-4 + 5 - 2)*(z**3 - z**3 + 2*z**3) - z**3 + 0*z**3 + 0*z**3.\nAnswer: -5*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 + 7*b + 1. What is z(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -18 + (-11 - 23).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -638 + 640. What is the third derivative of -6*y**l - 142*y**5 + 3*y + 31*y**2 + 38*y**2 - 3*y wrt y?\nAnswer: -8520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (12 - 48)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Suppose 3*a = k*a - 14. Let x = 7 - -63. What is the highest common divisor of x and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {m: 4, q: 3, f: 1, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90617292?\nAnswer: 2, 3, 37, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11491 is divided by 3821?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8227\/4, -6, -0.3?\nAnswer: 8227\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 60 - 30 + 312*j + 196*j - 20. Let g(q) = -q. What is k(g(l))?\nAnswer: -508*l + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 3*v**7\/7 - 99*v**5\/20 + 10*v**2 - 5*v. What is the third derivative of m(o) wrt o?\nAnswer: 2160*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214680638 to the power of 1\/2, to the nearest integer?\nAnswer: 47060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 959 and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 212941*u**2. Let t(h) = -6*h. Calculate t(m(k)).\nAnswer: -1277646*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 60 = 5*y. Solve -2*c + 2*o = -4, -6*o = -o - y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/9)\/(-8)*(28\/8 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1900 + 1902. Suppose -3*s - 22 = -s. Let r = s + 16. Solve 0 = -5*j + 2*h + 18, -3*j - r*h - n = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**2*f**3 - 75*d**2*f - 3*d*f**4 + 2*f**2 wrt f.\nAnswer: -24*d**2*f - 36*d*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5354\/69 + 433715\/5658. What is the common denominator of (-3)\/(-9) + 167\/48 and u?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -481 - -0.4.\nAnswer: -480.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -306*c + 6293 + 276 + 4723 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -15*r**3 - r**2 - 2*r - 1. Let d be y(-1). Solve 4*v = -v + d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7220.054 + 7255. Let j = 35 - c. Let s = j + 4.346. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47711 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, p: 1, w: 1, k: 1, b: 1}. What is prob of sequence wbk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*-1 + sqrt(2448) + sqrt(2448))*-1 + 2)**2 - (2*sqrt(102)*4)\/(sqrt(30)\/(sqrt(5) - sqrt(20)\/sqrt(4) - sqrt(5))).\nAnswer: -40*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c)**6\/(c**8\/((((c\/((c**2\/c)\/c))\/c)\/c)\/c))*(c**(1\/9)\/((c*c**(2\/35))\/c))**32 assuming c is positive.\nAnswer: c**(-2377\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*f + 3 = -4*f, 5*t + 24 = 3*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(7) + (-1*sqrt(175))**2.\nAnswer: sqrt(7) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 22153701.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23390137 to the nearest integer?\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*40\/8*24\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/28756 and -133\/948?\nAnswer: 86268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4693 (base 15) to base 9\nAnswer: -22503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9327345*k - 13519155?\nAnswer: -9327345","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61311099, -122622210, -183933321, -245244432?\n\"Answer: -61311111*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 6869 and -2510 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*(48\/21 - (-14)\/(-49))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-60) - (-7412)\/13515. Let t = -6811898637\/2351033360 + 3\/5544890. Let g = t - l. What is the common denominator of g and 59\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)\/(y\/(y*y\/y**(-19)*y*y)))**8 assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b**5\/9 - 1376*b**4\/9 + 3976*b**3\/9 + 14044*b**2\/9 + 10726*b\/9 + 2020\/9 = 0.\nAnswer: -101, -1, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4814741941\/1173 + 4104640. Let q = -1\/391 - w. Put -1, q, -17 in descending order.\nAnswer: q, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -1.48. Put 2, -0.1, 3\/2, w in ascending order.\nAnswer: w, -0.1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-705)\/(-40) - (510\/48)\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 25*b - 10. Determine f(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11 - 1 = 0. Sort k, 8, 5.\nAnswer: k, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116442?\nAnswer: 2, 3, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352 (base 8) to base 9.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/91)\/((-21333)\/369772)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -20*x + 10*x. Suppose -x*f + q + 47 = f, -q + 43 = 3*f. Let g(v) = 5*v - 37. Is g(f) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d. Let m be 9\/6 - (-14)\/4. Suppose 3*u + m = -4. Put -4, d, u in decreasing order.\nAnswer: d, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/2*(-2)\/(-1). Suppose -2*r + 41 + h = 0. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/25, 9, 179, -414.2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 b, and 1 t when three letters picked without replacement from {q: 2, t: 4, z: 6, b: 1}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -51. Suppose -q*r + 14 = -4*r. Let v = 0.77 + -0.8. What is the second smallest value in r, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11260425 and 61050?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2180 + 2191. Let y be ((-2)\/5)\/((-9)\/(-45)). Put s, 2, y in ascending order.\nAnswer: y, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/2 + 78360055*o + 470160375\/2.\nAnswer: -5*(o - 31344025)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 228 - 156 = 0. Calculate the greatest common divisor of b and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.04 (b) 0.2 (c) -0.06 (d) 1.7 (e) 2 (f) 47 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:16 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - y - 2*y = 16, -2*o - 4*y = -8. Suppose 2*t = 2*b + 390158 + 109838, -o*t + 749992 = -3*b. Round b to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 54 - 12*n**2 + (-n + n - n)*(-235*n - 19 + 19) to l*n**2 + i + m*n and give l.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 34*g**2 - 184*g - 18. What is the hundreds digit of l(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -42*((-14)\/4 - -3). Suppose 3 + 3 = 3*b. Suppose -2*w - n = -s, -s + 5*w + 23 = b*w. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 19*p**2 + 19*p + 18. Let j be y(-18). Let t(l) = -6*l - l + j*l. Let c(g) = 22*g. Determine t(c(q)).\nAnswer: -154*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -257 + 252.18. Let a = g + 5.8. What is a rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from dddddididdiiid?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/6 + 223*i**4\/3 - 1352*i**3\/3 + 1808*i**2\/3 = 0.\nAnswer: -452, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*h - 36*h + h**2)*(0*h + h - 3*h)*(-11 + 2 - 1)*(-h + 0*h + 4*h) to p*h**3 + g*h**4 + q + b*h + m*h**2 and give g.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167 - -251. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 3*j - j - 5*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 571539 and 2439?\nAnswer: 1714617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -35\/6 (b) 1\/3 (c) -112\/3 (d) 0.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-33) + 42372\/242. What is the greatest common divisor of 275 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -361 + 366. Let q(p) = p**3 - 3*p**2 - 10*p + 6. Let c be q(f). Put c, -3, 2 in decreasing order.\nAnswer: c, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1013552?\nAnswer: 1013551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -491 (base 10) to base 4\nAnswer: -13223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:03 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6696 - 49*h**4 - 6696 + (-2*h**3 + 2*h**3 + h**3)*(2*h + 5 - 5).\nAnswer: -47*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 + -204 + (1 - ((2 + 0 - 2) + -2)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 w, and 1 j when four letters picked without replacement from {w: 2, j: 4, m: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*m - 6 = 93, -r = 2*m - 33. Let z = r + -15. Suppose 0*p = -5*u - 3*p - 10, 2*u = -4*p - z. Solve 3 = 2*b - u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0585113 to 4 dps.\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125)*2)*-5 - ((-1 + sqrt(125)*1 + sqrt(125))**2 - sqrt(125)) - 1*((3 + sqrt(125) + sqrt(125))*-1)**2.\nAnswer: -1010 - 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:03 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.06, 4, 11 in descending order.\nAnswer: 11, 4, 2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 773292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 69 = 3*u. Let y = 17 + u. Suppose y = 6*z - z. Solve 4*c - 6*c - z = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 2*t**7\/21 + t**6\/10 + 9*t**5\/20 - 3997*t**4\/6 + 22*t + 11. What is the third derivative of o(r) wrt r?\nAnswer: 240*r**2 + 72*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 17. Suppose -6*u = 11 + d. Let j(f) = f**3 + 7*f**2 + f + 1. Let v be j(u). Which is bigger: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(3\/8)*d)\/d*d\/(d*d*d*d**(8\/7)\/d*d))\/((d*d*d**(-24))\/d**19) assuming d is positive.\nAnswer: d**(2197\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3\/5, -14 in descending order.\nAnswer: -3\/5, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28779 at most 28809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alal when four letters picked without replacement from {l: 3, u: 2, k: 3, a: 8}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (4*(-1 + 0 + sqrt(45)))**2 + 2)*6.\nAnswer: -576*sqrt(5) + 4386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -351, -401, -457, -519, -587?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2922*-79.4.\nAnswer: -23.20068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003507805 to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -21*l + 15. Let g(o) = 3*o - 2. Let z(n) = 2*b(n) + 15*g(n). Let d(h) be the first derivative of -h**2\/2 - 1. What is z(d(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j + 5. Suppose -4*v - v = -2*h, -v + 4*h = 0. Let x be y(v). Let n(z) = -z**2 + 2. Let b be n(-2). Sort b, -5, x in descending order.\nAnswer: x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019748380.\nAnswer: 2, 5, 7, 1597, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(0*x + x - 3*x)*(-4*x + 2*x - 2*x)*(39*x**2 - 22*x**2 - 7*x**2 + 1).\nAnswer: 240*x**4 + 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1097628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(42\/(-35) + (-1905)\/(-1650))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let y be q(2). Is 0 - 1 - (-14 - y) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*s**2 + 35098*s + 856.\nAnswer: 2*(s + 428)*(41*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30217, -28450, -26683, -24916, -23149, -21382?\n\"Answer: 1767*j - 31984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 7*v**2 + 19*v - 214. Let x be k(8). Solve -8 = 3*l - x*l - w, l - 3*w + 14 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/13 - 1875084*m**3\/13 - 585941240880*m**2\/13 - 61012881924379200*m\/13 + 366351580500768000.\nAnswer: -2*(m - 78)*(m + 312540)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*p**3 - 302975132130557*p + 302975132130557*p.\nAnswer: -39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yye when three letters picked without replacement from ekyrey.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1099?\nAnswer: 2\/1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3470, 6807, 10144, 13481?\n\"Answer: 3337*b + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0 + 7\/12*c**4 + 0*c**3 + 26*c**2 + 0*c. Let j(t) = -2*t**2. What is g(j(k))?\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28041 - -29280.7. Round o to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 - 7*b + 18. Let o be m(2). Solve 24 = -0*z - z - o*l, -z = 2*l + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126.26 - 126.06. Which is the closest to r? (a) 0 (b) -0.5 (c) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, h: 1, v: 8, i: 1}. What is prob of sequence vv?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93999011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 - 410. Let n = k + 182.6. Put -19, -5\/2, n in ascending order.\nAnswer: -19, -5\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -3, 5, 34 in ascending order.\nAnswer: -3, 4, 5, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6*b**3 + 14*b**3 + 2*b**3 - b to the form l*b**2 + m + a*b**3 + w*b and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -44*g. Let b(f) = 4*f. Determine 6*a(l) + 68*b(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972 = -2*h - 324*s, 2*h - 505*s + 6 + 0 = -503*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = b - 22*h - 8793, 5*b - 44075 = -2*h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b - -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-5)\/(-2)*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570773469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - l**2 - 3*l + 3. Let k(u) = u + 3 - 8 + 2. Let r be k(7). Suppose 4*o = f + 12, -14 = -r*o - o + f. Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (19 - (9 + (-8 - -4)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**3*q**2 + 7384*o*q**2 + 92788*q**2 wrt o.\nAnswer: 6*o**2*q**2 + 7384*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22042?\nAnswer: 2, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 6:41 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.519 rounded to one dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**8\/112 - 5*n**4\/24 + 7*n**2. Find the second derivative of y(f) wrt f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (111 - 31) - (-17 + 15).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-205)\/(-25))*45?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8292 divided by 4146.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 127 = 4*v. Let n = v + 390. Suppose 59 = -2*s + n. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(56\/(-224))\/(6\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1194746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100300211 - -222?\nAnswer: 100301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y = 1731 - 1102 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1073*u - 6 + 6 + 0.\nAnswer: 1073*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3 - 9516*g**2 - 5730336*g - 83827440 = 0?\nAnswer: -1182, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)*-3)\/(sqrt(144)\/(sqrt(192) + sqrt(12))) - (-5*(3 + sqrt(44)) + 3))**2.\nAnswer: -120*sqrt(11) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.6 and 1299?\nAnswer: 1303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84356*f**3*q - f**2*k*q - 4*f*k*q + 3*f*k - 58*f*q - 14*q wrt f.\nAnswer: 506136*f*q - 2*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r - 1)*(-r**2 + 3*r**2 - 5*r - 5*r).\nAnswer: -4*r**3 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65))\/sqrt(5) + 4.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*y - 5*y + 28, -2*y + 27 = 5*a. Let o(x) = -9 - a*x - x**2 - 2*x - 3*x - 3*x. What is the units digit of o(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + o - 92, -56 - 20 = -4*m - 5*o. What is the units digit of (-1859)\/(-3) + -2*8\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122501 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*k**2 + (-620 + 80*k + 309 + 306 + (6 - 3 - 1)*(k + 4 - 4))*(0*k - 2*k + 0*k).\nAnswer: -161*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 123*m - 39*m - 41*m - 45*m + 6*m**2 to q + d*m + b*m**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2) + 418\/44.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -229*c**4 - 15209*c + 31817661 wrt c.\nAnswer: -916*c**3 - 15209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63992.972213 - -63993. What is m rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 46 = 7*t, 76*l - 79*l + 3*t + 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(4)*2))\/sqrt(3) + ((sqrt(343) + (sqrt(343) + -3 - sqrt(343) - sqrt(343)) + sqrt(343) + sqrt(343))*-6)**2.\nAnswer: -6047*sqrt(7)\/2 + 49716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 934 - 929. Solve -2*z + 3 = 3*u, -2*z + q = 5*u + 2*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -20. What is the third smallest value in h, -2, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5*h = 64, 70*u - 41 = 67*u - 2*h for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 - o - 1. Let f be s(-1). Let r(p) = p**3 + 6*p**2 + 3*p + 3. Let c be r(f). Let i(t) = 27 + 5*t - c - 4*t. Determine i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 4*u**2 + u + 6. Let v be g(-3). Let b = 2011\/192 - -5\/192. Find the common denominator of b and 3\/v*(285\/(-12) + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*6*(-2)\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96228658 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11123321000 - 1?\nAnswer: 11123320333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 - 119 - (-1 + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -10. Sort 1, j, -2 in increasing order.\nAnswer: -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 < -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4220 - 4272. What is the fifth biggest value in z, -1, 2\/9, -1\/3, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {n: 1, o: 1, l: 6, r: 3, c: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d + 1. Let x be 2\/(-7) + (-792)\/(-28). Suppose 0*b = -v - b - 4, -x = -3*v + 5*b. Calculate p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from igngippigigiqipi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294 + 9775 = n. What are the prime factors of n?\nAnswer: 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/3)\/g)\/g*g**(2\/11))\/(g**0*g)**(2\/13))\/(g**(1\/4)\/((g**(-2\/13)\/g)\/g)*g**4*g**5) assuming g is positive.\nAnswer: g**(-22381\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22349 - -37212. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 22. Solve -d = 5*h + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*t - 1196236 = 2685625, 0 = -7*u - 2*t + 13586505. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 4. What is the smallest value in o, 1, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = -d - 157. Let x = 1143\/4 - d. Find the common denominator of 1\/3 - 203\/(-30) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3000)\/(-8400)*(-92)\/5?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1796\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 16 = 101. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935973543 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1075 (base 12) to base 11.\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 3*j)*(-2*j + 365 - 365).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**2 + 4*c**2 - 510 + 0*c**2 + 1106*c**3 + 507 + 122*c**3 + 79*c wrt c.\nAnswer: 7368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -434.26 + -7.74. Let n = m - -442.00001056. Round n to seven dps.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4169 + -3379. Calculate the least common multiple of 395 and r.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -50, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*h - 11 = 4, 5 = a + 3*h. Let k(o) = -4*o**2 + a + 2*o + 0*o**2 + 5*o**2 - 8*o. Determine k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*u = -42 - 36, 0 = 4*u. Let w = y - 24. Solve 2 = l - 3*m, w*l + 5*m = -4 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**2\/2 + 11*v - 1. Let h be u(7). Suppose 4*c = 5*d - h + 12, -2*d - 27 = -5*c. Solve -2*j - 15 = -c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4895727787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19110 and 910.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6453.61695 rounded to 0 dps?\nAnswer: 6454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1284\/2354 - 3736938\/33. Round k to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1054*n**2 - 20*n + 3. Let r(l) = -2*l**2. Give i(r(a)).\nAnswer: 4216*a**4 + 40*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104058.\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*(-15)\/6*(-1 - -2). Suppose -3*j + j - 6 = 0, -2*j = -4*p + i. Suppose -36 = -x + p. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127427658 divided by -3.\nAnswer: 42475886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 3)*(-o**2 + 8*o**2 - 2*o**2) in the form d*o**2 + x + r*o and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 2*h**4 - h**4 + (h**3 - h**3 + 3*h**3)*(0 + 0 - 10*h)*(2 + 0 - 1) to s*h + p*h**2 + i + x*h**3 + z*h**4 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-7))\/7 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 18 - x - 100.\nAnswer: -x - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4\/2 - 2*k**3\/3 + k**2\/2 + k + 1. Let g be 10\/(-5 - (-14)\/2). Suppose 8*a = g*a + 3*s - 6, s = -a - 2. Calculate r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 8. Suppose -2*x = 3*m + s*x - 109, 0 = -m + 2*x + 23. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5565 + -445. What is the units digit of ((-8)\/10)\/(25592\/k - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:46 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1574, 1583, 1604, 1643, 1706?\nAnswer: 1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 618\/5 + -124. Let r = -64.5 - -67.5. Put a, -9, r, -2 in ascending order.\nAnswer: -9, -2, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 69 + 37 - 18882*s**2 - 4*s.\nAnswer: -18882*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -0.2, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 3. Let x be m(-4). Let y = x - 7. Let h = y - 6. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 84878, -4.\nAnswer: -4, 7, 84878","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(560)*1 - sqrt(560))\/sqrt(10) - (sqrt(56) - -6*sqrt(224)\/sqrt(4)))\/(sqrt(56)\/sqrt(112) - (sqrt(40)*-2)\/sqrt(5)).\nAnswer: -28*sqrt(7)\/9 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1757, 3515, 5273, 7031, 8789?\n\"Answer: 1758*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -176*i + 1529. What is the remainder when 602 is divided by t(8)?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11264?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 + 165 = -2*k - 5*f, -3*k + 5*f - 618 = 0. Let l = -201 - k. Calculate the greatest common divisor of 80 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u**(-2\/5)*u)*u\/(u*u\/u**4*u*u)*u*u)\/((((u\/((u\/(u\/((u*u**(-2\/3)*u)\/u*u)))\/u))\/u)\/u)\/(u*u**(-2\/3))) assuming u is positive.\nAnswer: u**(106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.913807285 - 0.4?\nAnswer: -98.313807285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 785716441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 - 1 + g**2 + g**3 + 8*g**2 - 16*g**2 + 0*g**4 to the form z*g**4 + p + i*g + h*g**3 + u*g**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1*0\/(-2). Find the common denominator of (65 + 0)*r\/36 and ((-10)\/(-6))\/((-18)\/459).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5528 = -2*i, 0 = 2*i + 3*f - 2*f - 5522. Suppose -6*d + i = -3*d. What is d rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -23. Let u be 2 + (4 - (1 + 1)). Let h(f) = -f - 23. Let c(d) = u*r(d) - 5*h(d). Differentiate c(x) wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071131773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u - 24. Let y be d(-18). Let c be -2*(-95)\/2*-1. Let k = c - y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 3*i**3 - 3*i**3 + i**3 + 2 - 2 + (4*i**2 + 2*i**2 - 2*i**2)*(-1 + 1 - 2*i) + (i + 3*i - 6*i)*(2*i**2 - 3*i**2 - i**2).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*q + 4*q + 3*j, 0 = -2*q + 4*j + 14. What is the least common multiple of (-4)\/q + 60\/9 and (8 - 0\/(-1))*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 4, c: 5}. Give prob of sequence cc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 238*d**2 + 67*d - 7962. Calculate y(119).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 110*y**2 + 14*y**3 - 19 + 110*y**2.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2 + 2 - 2 - 3*k + 6*k**4 + 6*k. Let i(r) = -7*r - 6*r**4 + r**4 - 7*r**4 - 5. Let a(q) = 2*i(q) + 5*w(q). Find the second derivative of a(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2457 - -2460. Put -6, 8, b in increasing order.\nAnswer: -6, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = a, -4*y + 23 - 25 = -5*a. Put 2, a, 11 in ascending order.\nAnswer: a, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)\/((q\/(q\/(q*q**1*q)))\/q))\/((q\/q**5)\/q*q*q**(2\/5)) assuming q is positive.\nAnswer: q**(78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*y**4 + 146*y**3 - 5403*y.\nAnswer: -372*y**2 + 876*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16 + 9*s + 12 - 14 - 13. Let z(q) = -8*q - 1. Suppose -h = 4 - 0. What is h*a(m) - 5*z(m)?\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 940, 7320, 24650, 58408, 114072, 197120?\n\"Answer: 913*n**3 - 3*n**2 - 2*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9634, -19445, -29256, -39067, -48878, -58689?\n\"Answer: -9811*i + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5916)\/675 - 2\/6. Let a = -133\/25 - o. Calculate the common denominator of (10\/64)\/((-2)\/(-56)) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/74 + 509\/666. What is the common denominator of z and -50\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 16*c**2 - 9*c - 31. Let y be l(-5). Suppose -394 = -5*t + 3*t + 3*q, -y = -2*t - 2*q. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 w when three letters picked without replacement from chkfwwhkv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29751468 + 35.\nAnswer: 29751503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(20*(-20)\/200)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 71307.4 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**7\/1960 - b**6\/280 - b**5\/70 + 3*b**4\/14 + 3*b**3\/2 - 108*b. Let m(d) be the second derivative of i(d). Factor m(l).\nAnswer: 3*(l - 3)*(l - 2)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 56*o - 27*o**3 + 24*o + 30*o - 2*o**3 in the form l + b*o**3 + h*o**2 + q*o and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8822.2? (a) -0.1 (b) 1\/3 (c) -2\/9 (d) -5 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/180 and ((-13)\/180)\/(((-24)\/(-315))\/((-16)\/40)).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 26*u + 1. Suppose n - 2 = -3. Let w be j(n). Are -25 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, k: 2, s: 1, g: 3, t: 5}. Give prob of picking 2 k and 1 t.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {i: 8, y: 5, a: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4 (c) -0.04 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38e - -33?\nAnswer: 3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2. Let l(v) = -4*v**2 + 2*v. Let n(i) be the third derivative of -i**5\/12 + i**4\/8 + 3*i**2. Let y(s) = 3*l(s) - 2*n(s). Determine x(y(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2, -3 in descending order.\nAnswer: 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 42 + 4*h - 16 - 16 - 8. Let n(z) = -9*z - 4. Determine 7*g(k) + 3*n(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -844 + 846. What is the third derivative of 32*f**3 + 4*f**2 + 4*f**3 - 8*f + 4*f**u + 3*f**3 wrt f?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 - 27262*i**2 + 13626*i**2 + 13636*i**2.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 682394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 14*o + 10*o)*(172 - 26 - 39).\nAnswer: -428*o - 535","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1131, -2\/5 in increasing order.\nAnswer: -1131, -2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 7, -3\/8, -11\/8, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 34*r + 1146. Does 48 divide n(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 - 6*t + 6. Suppose -9 = -4*s - 1. Suppose -3*c = s*c. Suppose c = -2*x - 1 - 11. Calculate r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-9) - 147917\/(-40392)*24.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-40)\/(-15)) + -2 - -3. Suppose -3*a = -0*k - 4*k + 136, -k + 46 = -a. Let b be (-22)\/(-121) + a\/22. What is the nearest to 3 in 4, g, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 10*j - u = -5, -5*u = 5*j - 25. Solve 3*w = -j*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -1204 in ascending order.\nAnswer: -1204, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097*j - c - 74 = -2095*j + 3*c, 3*c + 50 = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31008 + 31004. What is the closest to -0.1 in f, -6, -1, -40?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2779.\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225 (base 6) to base 9.\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4278241.\nAnswer: 11, 388931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -414931, -414923, -414911, -414895, -414875?\n\"Answer: 2*j**2 + 2*j - 414935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.03.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 2*q - 46, 3*f + 5*q + 16683 = 16711 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-165 + 186 - 86)*(2 - 4 - 1)*(2 - 1 + 1)*(17*s - 8*s - 12*s + (-3*s + s + 0*s)*(4 - 2 - 1)) to u*s + n and give u.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = 5*j - 15966. What is the remainder when j is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.889 - 7.889. Let m be 1\/(-4) + 2\/(-24). Which is the second biggest value? (a) k (b) 0.2 (c) m (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = 21*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + -121200?\nAnswer: -121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 4. Let t be r(4). Suppose -5*m = -t*m - 19. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 7. Let i(m) = 5*m + 8. Let c = 1 - -4. Suppose 4 = 5*r - 3*r. Let y(h) = -9*h - 17. Let k(b) = c*i(b) + r*y(b). Calculate 5*a(f) - 6*k(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1910911\/27129200 + 2\/2180025. Calculate the common denominator of 59\/840 and k.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -766, -771, -788, -823, -882?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15776, -31358, -46938, -62516, -78092, -93666, -109238?\n\"Answer: b**2 - 15585*b - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 12\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*g + 2 - 0, 3*g + 35 = 5*l. Suppose -60 = -9*x + l*x. Is 1576\/x + 2\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 7. Let h be k(5). What is the least common multiple of 18 and 10*(h\/5)\/(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, -1\/4, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 x when three letters picked without replacement from {i: 1, m: 1, j: 1, x: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (10 - (6 + -3) - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10259 = -809. Suppose -10*j + m = -j. Suppose j = 2*u + u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -24. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (19 - 11)) + 1 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29780, -59719, -89658?\n\"Answer: -29939*y + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1773077, -7092973, -15959459, -28372529, -44332177, -63838397, -86891183?\n\"Answer: k**3 - 1773301*k**2 + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399820255*v**3 - 1265985592*v**2?\nAnswer: -2398921530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32829088*0.3\nAnswer: 9848726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.05 (b) 2\/3 (c) 2 (d) -14\/9 (e) 2\/13 (f) -227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1.27187?\nAnswer: 1.27187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2228, -2227, -2226, -2225, -2224?\n\"Answer: n - 2229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, 315, 883, 1591, 2445, 3451?\nAnswer: 4615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 2223906.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11*-6*(-21)\/(-504)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11377 is divided by 799.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9636 - 16443. Let k = r - -12749. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a decade in months?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1561527?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - q + 3*o - 20 = 0, 0 = 3*q - o + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 280*l**2 + 1662*l + 94. Calculate k(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -2*o**2 + o + 6. Let u(c) = -2*c + 1. Give -5*u(z) + 3*x(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*512\/896?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*n*w - 13*i*w - 77*i - 53*n*w - 31*w wrt i.\nAnswer: n*w - 13*w - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319.39 + 335.3. Let a = -0.09 - q. Let h(s) = -s**3 + 9*s**2 - 13*s - 9. Let m be h(7). Put m, a, 5 in descending order.\nAnswer: 5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 3*x**2 + 0*x**2 + (2*x - 3*x + 2*x)*(-3 + 3 + 2*x) + (-18 + 17 - 2*x - 6*x)*(5 - 5 - 6*x).\nAnswer: 51*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -2432.1342525?\nAnswer: -2431.8342525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + (16 - (9 + -3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 31297168.\nAnswer: 187783008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 not equal to -95668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -32. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11767 = 15*j + 217. Does 55 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 33*u - 34 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1051\/6 + -2626\/15. Sort n, 0.3, 7, -5, 0.4 in decreasing order.\nAnswer: 7, 0.4, 0.3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**3 - 4*f**3 - 4*f**3 + (-1 + 5 - 1)*(f**3 - 3*f**3 + f**3) - 4*f**3 + 18 - 18 in the form r*f**3 + h*f**2 + x + w*f and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. Let m = v - -4. Let u = -5 + 9. Which is the closest to m? (a) -2\/3 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/7 (b) 2 (c) 1 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 89 * -0.2\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7 + -1.7. Sort -2, 0.06, c in descending order.\nAnswer: c, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739593192.\nAnswer: 2, 217449149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113.472394721 + 0.05.\nAnswer: 113.522394721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 376760 + -1?\nAnswer: 376758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1303 + 1268. Suppose -5152 = -t + d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*v = -59, -5*m = -140*v + 116*v + 297 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 - -24.64. Let y = -24.999997 + f. Round y to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751839 is divided by 3241.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10722435\/16 + 668211. Let p = c + 1946. What is the common denominator of 139\/12 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 186 = -5*b + 4, 0 = -3*v - 2*b + 112. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l**2 + 35*l**2 - 17*l**3 + 19*l**3 - 2 - 23*l - 12*l**2. List the prime factors of u(-20).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 3083*k - 3085*k - 4*j, -3*j + 76 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(8\/(-6)) + 26\/(-8). What is the biggest value in -5, 4, d, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 4*y**2 + 4*y - 4. Suppose -3*k - 2*g + 20 = -8*k, k - 2*g = -4. Let s(q) = -3*q**3 - 3*q**2 + 3*q - 3. What is k*s(r) + 3*d(r)?\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 525261, 525260, 525259?\nAnswer: 525258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 6*m + 34. Determine b(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24066407093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -103.\nAnswer: -5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 24*w = -23*w - 247 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 4*z**2 - z - 2. Give m(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -274, -2, -5, -7.\nAnswer: -274, -7, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**2 + 6*z. Let m(k) be the first derivative of -5*k**3\/3 - 3*k**2\/2 + 2. Let g(o) = 11*m(o) + 6*p(o). Find the second derivative of g(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + m - 1. Let o be -3*((-19)\/3 - -2). Suppose 5*h - 3 = -o. Give n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + x - x)*(0 - 1 - 1) + 56*x - 12*x + 18*x + (2*x - 2*x - 2*x)*(-1 + 1 - 2) - 2*x + 3*x - 3*x as y*x + n and give y.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290505.\nAnswer: 3, 5, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/102)\/(5*(-2)\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*n**2 - 175 - 1061 - 53*n**2 as d*n**2 + s + f*n and give s.\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 14*s**2 + 10*s + 70. Give p(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2. Suppose 2*h + 5*v - 1 + 4 = 0, -3*v = 5*h - 2. Let b(z) = -z**2 + 1. Let k(w) = h*a(w) - 2*b(w). Let c(g) = 12*g**2. Determine c(k(m)).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16\/6*32\/40*17\/(-272)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Suppose 5*h = 6*h - 2. Let u be -15*h*5\/30. Let m(r) = -9*r**2. Let s(t) = -14*t**2. Let y(c) = u*s(c) + 8*m(c). Determine y(x(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/(-8)*-4*7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190067965 less than 190067966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 2\/3, -79.7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 1128*w**5\/7 + 8226*w**4\/7 - 3520140*w**3\/7 - 83186118*w**2\/7 + 8674320*w + 390600 = 0.\nAnswer: -35, -2\/47, 3\/4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12886104 divided by -3.\nAnswer: -4295368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 3. Suppose s*f = -f. Solve f = p + p - o - 11, -2*o + 3 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12523231 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 5*q = -7*z + 298, -2*q + 1355 = -5*z. Let n be -1 - (z\/15)\/13. Factor n*u**3 + 0 - 2*u**2 + 12\/5*u.\nAnswer: 2*u*(u - 3)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3683 = 4*l - r, -l + 5*r = -63 + 979. Let x = 2464 + l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + -3 - (-5 + 6 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 2*n**2 - 3*n - 2. Let h(m) = m**2 + 2*m - 5. Let s be h(-4). Let v be j(s). What is the remainder when (-159)\/(-12) + v\/8 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -63, -78, -99?\n\"Answer: -3*g**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Suppose -3*b = -q*b + 27. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*v - 7*g, -9*v + 14*v + 4*g = -28. Solve 20*p + 1 - 21 = v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 12\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 17*v - 7. Let z be n(9). Suppose z*p = j + 94, -p + 86 = p - 5*j. What is the remainder when 92 is divided by p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 409487595*n**4 + n + 266299973 wrt n.\nAnswer: 4913851140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.34 - 0.44. Let v = -7 + 2. Let k = v + m. Is k < 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 70 = 15*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10563 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:23 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**6\/10 - 7*s**4\/12 + 17*s**3\/6 + s**2\/2 + 41*s. Find the second derivative of r(t) wrt t.\nAnswer: -36*t**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose -16 = b + 1. Let o = b - -15. Put o, v, 3 in decreasing order.\nAnswer: 3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -5.562?\nAnswer: -50.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7940*q = 7938*q + 44. Put q, 3, 81 in decreasing order.\nAnswer: 81, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (-1*sqrt(119) + sqrt(119)))\/sqrt(7) + 0)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -3*r - 121. Is 20\/r*1596\/56 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(2*r + 5*r - 4*r)*(2 - 6 - 3).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 35*a**5 + 545005*a**4 - 1868935*a**3 + 1012495*a**2 + 1868900*a - 1557500 = 0.\nAnswer: -15575, -1, 1, 10\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -62. Suppose 4 = -x + t, 5*x - 11425 = -3*a. What is a rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-1)\/(-2)*6. Let v be (3\/h)\/(19\/(-4) - -1). Factor 2\/5*w**3 - v*w**4 - 2\/5*w + 0 + 2\/5*w**2.\nAnswer: -2*w*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-7)\/(-1)*18\/(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzzanazanaznz. What is prob of picking 1 z, 1 n, and 2 a?\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -6, 85*h - 81*h - 82 = 3*n. What is the smallest common multiple of h and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by 8.\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2173*y + 2166*y + 3*l, 40 = -2*y + 3*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g + 0*g)*(-5*g + 0*g + 4*g - 1).\nAnswer: -3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-99)\/30 + 4)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/510899 and -2\/669009?\nAnswer: 3523670403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:24 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2221 + 2220. What is the nearest to -2 in -2, b, -4, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279054340 to the power of 1\/3, to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m + w - 55, 0 = -4*m + 5*w + 37. Suppose 0 = r + 3*r + 3*t + 42, -t = 2*r + 20. Let y = r + m. Calculate the smallest common multiple of 5 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.3 (b) -3 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.31 - -499.3234932.\nAnswer: 495.0134932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16294422*d - 16273686 wrt d?\nAnswer: 16294422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1539) + sqrt(1539) + (-1*sqrt(133))\/sqrt(7).\nAnswer: -19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r - 3*r)*(1 + 2 - 6).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose b = x - 6*x + 50. Suppose 4*o - 11 - 65 = 0. Calculate the remainder when o is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + (2*sqrt(180) + 0)*6 + 1*3*sqrt(80) + -3 + sqrt(80)*2)**2.\nAnswer: -368*sqrt(5) + 42324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -6*g - 122, g + 3*g + 32 = 772*i - 767*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 12:29 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83529 + 2263529. What is b rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 + -174. Let g = l - -1416. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4543535*l - 5316987 with respect to l.\nAnswer: 4543535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -24. Solve -d + n - 5 = -2*d, 4*n = h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(448) + sqrt(448) + 5 - (-3*sqrt(448) + -3)) + 0.\nAnswer: 8 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 = -2*y, 0 = 5*z + 4*y - 42 + 1. Let w(g) = g**3 - 5*g**2 - 23*g + 5. Calculate the remainder when w(8) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6248654.\nAnswer: 2, 73, 127, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 22\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45995 - -46112. Solve m - 7 = 5*j, a = -3*m + 5*j + 118 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 - 21 - 18*o**3 + 40 - 19.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*b - 100*b + 345*b + 90*b to the form x*b + c and give x.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8509, 17020, 25531, 34042?\n\"Answer: 8511*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:04 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 9*o - 1. Let j(d) = 0*d + 2*d**3 + d**2 + 5*d - 2*d + 8*d**2 + 4. Let a be j(-4). What is u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 34. Let v(n) = n**3 + 2*n**2 - 8*n - 3. What is the smallest common multiple of 2 and v(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3 - 49134*i**2 + 336144222*i - 409434643890 = 0.\nAnswer: 1545, 11511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 4 - -11 - -16 - (-8)\/(1*-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350) - 1*sqrt(350)*-3)\/(sqrt(77)\/(sqrt(11)*-2 + sqrt(11))).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 4, d: 2}. What is prob of sequence ddcw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = r + 8051, 3*r + 9970 = 5*x - 10155. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3432\/5 - 687. Which is the third biggest value? (a) 4 (b) w (c) -3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -260, 30, 5 in decreasing order.\nAnswer: 30, 5, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2367 - -3444. Calculate the remainder when n is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = 2. Let t be (-11)\/(-8) + (-1 - 0). Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 - 1521354*g**2 + 17*g**3 + 1521354*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 1, p: 2, m: 1}. What is prob of picking 4 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 499052704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 8*i + 9. Let j be d(-8). Suppose -j = -w + 1. What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11709 * 4.\nAnswer: -46836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 2384266 + 38*o**2 - 2384266.\nAnswer: 31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m - 6. Let t be z(-5). Suppose 3*k = -2*c + 20, -5*c + t = -k - 19. Solve -5*x - 11 = -4*q, -3*x = -q + 2*q - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - c + 1. Let a be u(1). Let m be ((-4)\/(-10))\/(a\/(-5)). What is the remainder when 29 is divided by 15 - (m + 2)\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3202, 2, -59 in ascending order.\nAnswer: -59, 2, 3202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2.3. Let o = -226312 - -226312. Which is the third smallest value? (a) -2 (b) -1 (c) o (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 178, 721, 1626, 2893, 4522, 6513?\n\"Answer: 181*k**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116279178 divided by 6.\nAnswer: -19379863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 28. Calculate y(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 14*a + 1. Let y be n(7). What is the greatest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 26 + 22. Let h = 1325 + -1340. Let v = h - c. Solve 0 = -2*m - v + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18844319?\nAnswer: 13, 1449563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 8*s + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92*j**2 - 24*j - 563775.\nAnswer: -184*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4582 = -2*k - 3936. What is the remainder when k is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 = -3*y, -5*y = -13*y + 32. Let k(q) = -2*q**3 + q**2 + q. Let x be k(-2). Solve -j*n + 8 - x = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) - (sqrt(20)\/sqrt(2) + sqrt(10)))*-4)\/(sqrt(80)*2 - sqrt(80)))**2*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-21)*336\/360*(-3)\/24.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5*(8 - 3). Let o(a) = 4*a. Let d be o(l). Suppose -4*u - d = 0, 5*r - 1 = -3*u - 3. Solve 0 = r*y + 3*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/6*16 + 0. Let i = 38 + a. Suppose 4*y - i - 2 = 4*h, -h - 88 = -5*y. Solve -y = -5*s - 0*o + 4*o, 4*s + 5*o - 30 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + -1 + sqrt(605) + 4 - 1*sqrt(605)*-2) + -2 + -1 + (5*3*sqrt(605) + sqrt(605))*5)**2*-5.\nAnswer: -21344400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108615 is divided by 54101?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i + 248 - 167 = -400 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -7\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -203422122 (base 5) to base 8\nAnswer: -3154662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by 142.\nAnswer: 124\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16331\/6 + -2744. Let k = -1193\/3 + 401. Calculate the common denominator of x and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0336197 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.5, 0.1, 2\/129, 2, -0.51?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 33*y**2 + 21*y + 44. Calculate the remainder when h(-14) is divided by 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doo when three letters picked without replacement from yosydodss?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -783, -650, -421, -90, 349, 902, 1575, 2374?\nAnswer: 3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3934 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7478496 - 0.04125082.\nAnswer: 0.70659878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + -5*(sqrt(228) + 3*sqrt(228) + sqrt(228) + sqrt(228)) - sqrt(228))\/sqrt(12))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.692 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2131\/9 + 237. Let m = 2531 - 2530.9. Which is the third biggest value? (a) t (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 4, z: 3, w: 1, j: 4, f: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10161.5 + 10161.439601. What is z rounded to 4 dps?\nAnswer: -0.0604","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11786434241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (6 - 5))\/(1*-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by -23446.\nAnswer: 161\/23446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421829501?\nAnswer: 421829501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*((l**8*l*l)\/l)\/l)\/(l**(-44)\/l))\/(l**(-2\/23))**(19\/4))**(2\/5) assuming l is positive.\nAnswer: l**(2503\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4912 = -4*a + 2635, -a = -5*f - 1863. What is the highest common factor of a and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -40\/17 (b) 0.4 (c) -32 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*u**2 - 6*u - 112*u**2 + 6*u - 110*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46232409?\nAnswer: 3, 29, 227, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o - 4*l + 5319, -l = 3. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:00 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(1*-2)\/14. Let m = 380.8 + -375.8. What is the second biggest value in -3\/8, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.84 - -1.84. Let k = 3303 + -23917\/7. Let g = -114 - k. What is the nearest to g in w, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -22\/3*u**3 - 112*u + 2\/5*u**5 + 0*u**2 + 0*u**4 - 80. What is the derivative of q(x) wrt x?\nAnswer: 8*x**3 - 44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 2*k - 4*k)*(35*k + 3 - 84*k + 44*k) to y*k**2 + x*k + t and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/72 and -59\/92052.\nAnswer: 184104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:11 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 1 - 3. Let c = x + -2. Let t = 7 + c. Solve -16 = -s + 5*s, t*l = -3*s - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184592.\nAnswer: 2, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -823032*l**2 + 2*l + 293453 wrt l?\nAnswer: -1646064*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 - -48?\nAnswer: 51.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37252752 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from mccog.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -677 or -54141\/80?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 8*u - 71*u + 4753188 = 0. What is the ten thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -1. Suppose 7 = -5*y + 22. Let v(a) = -a**3 + 7*a**2 + 1. Calculate the remainder when v(y) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40.1, 0.1, -3\/2, 6\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10076*i + 40265. Give v(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:28 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 681 or 396?\nAnswer: 681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(((6*(1 + sqrt(1584)))**2 + -4 - -5*(-2*sqrt(1584) - sqrt(1584))*-1) + -3).\nAnswer: 6264*sqrt(11) + 342315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y - 76*y = -1176. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/5*-1 - 7. Suppose -4*z = -3*z - 8. Let c be m*(-12)\/z - 3. Let r(k) = -4*k**3 - 3*k. Let t(f) = -f**3 - f. Give c*t(a) - r(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 2 + -6 + -7 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/8 - 723*w\/8 - 31059\/2 = 0. Calculate w.\nAnswer: -116, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-17324)\/(-24) - 4)*14 + (-1)\/(-3).\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*i - 77, -i + 5*o + 0*o + 32 = 0. Suppose 4*f - 133 + i = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10453364 (base 8) to base 7\nAnswer: -25062115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 416573.\nAnswer: 1666292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3955*c**2*h*s + 2*c**2*s - 3*c*h*s - 13*h + 2624 wrt c?\nAnswer: -7910*h*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133628547 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1855 + 1855.5. Which is the nearest to -0.8? (a) h (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101269268 greater than or equal to -101269269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7829 (base 12) to base 11.\nAnswer: -9a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/55 and -83\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from sqsqukkr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*l**2 + 1011246*l + 134832.\nAnswer: 3*(l + 22472)*(15*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**7\/21 - 31*f**6\/6 + 13*f**3\/3 + f**2 - 421*f. Find the second derivative of g(l) wrt l.\nAnswer: -40*l**3 - 1860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 3*r**3 + 2*r - 97*r**2 - 42*r**2 + 9 as m + n*r**3 + s*r + p*r**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65693 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d - 8. Let z(q) = -7*q - 5. Let m(b) = 5*n(b) - 8*z(b). Let f(u) = u**2 - 4*u. Suppose -28539*o + 286 = -28463*o - 18. What is o*m(a) + f(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-1 - 97))\/(-2). Let m = x + -29. Let o = 61 + m. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-105))\/((-32)\/(-20)*160\/192).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 0.08096, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2083616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 231?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-one quarters of a meter?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -5. What is the least common multiple of 3 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**9\/1008 - p**7\/140 + p**5\/40 - 5*p**3\/3 - 2. Let a(c) be the third derivative of j(c). Factor a(h).\nAnswer: 3*h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(13*138\/598).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/9350 and 23\/33.\nAnswer: 28050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.5656924 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2*x - 1. Let h be ((-8)\/(-12))\/((-3)\/(-9)). Let f be u(h). Round f to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by 4.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -948, -951, -956, -963, -972, -983, -996?\n\"Answer: -f**2 - 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i\/(i**(-2\/3)*i))*i)\/i)**(-2\/11)*(i*(i**2\/i)\/i*i)\/(i*i\/i**(2\/9)*i*i) assuming i is positive.\nAnswer: i**(-200\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 5. Suppose 4*u - 23 = -q, 3*q + 10 = 8*q - u. Suppose -2*c - 14 = -2*z, q*z = -2*c - 0 + 6. Let l(x) = -4*x - 4. Give c*l(p) + 2*d(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 230212232 (base 4) in base 9?\nAnswer: 307552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 - -143. Let w(q) = 11*q**3 - 2*q**2 + 4*q - 16. What are the prime factors of w(y)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 14*x - 20800000. Round x to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z + 221 = -505 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6469, -6480, -6491, -6502, -6513, -6524?\nAnswer: -6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2) + 3\/((-30)\/(-385)). Calculate the highest common divisor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7cdb - -70?\nAnswer: -7c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2. Let u(k) = -35*k. Calculate u(m(w)).\nAnswer: -105*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4354.47 litres?\nAnswer: 4354470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6, -1.7 in ascending order.\nAnswer: -1.7, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:13 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -131 - 5*h + 260 - 129. Let x(z) = z**2. What is x(m(l))?\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8822 and 0.4.\nAnswer: 0.35288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(16\/(-6))\/(-2). Let g be 4\/7*(-7)\/(-2). Let w(d) = 4*d - g*d - 2*d + h*d. Let p(t) = -t. What is w(p(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkddkddkd. What is prob of picking 3 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 99 = h. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 6:36 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/162 and 73\/196506.\nAnswer: 196506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 6, -4*d + 2*k - 14 = -k. Let a(i) = -2*i**2 - 6*i - 2. Determine a(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 7\/125591 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/8 - (0 + -5). Let t = 0.1 - 1.1. Which is the biggest value? (a) t (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*1 + 0 - sqrt(1300))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*o + 43 + 53, 12 = 2*o. Solve -2*r = -l*c + 21*c, -c = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-4) + -1 + (-1612)\/(-16)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259974.\nAnswer: 2, 3, 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 21.6, 1\/6 in ascending order.\nAnswer: 0.01, 1\/6, 21.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 650316*v**2 - 437846.\nAnswer: 1300632*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 942.5209mm?\nAnswer: 942520.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52873)\/(-111) - 10\/(-15). Calculate the greatest common factor of 45 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 + 143.0863. What is o rounded to three dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 134.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5*(-1030)\/(-309)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943515947 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rupzprpuppeeepzpue. Give prob of picking 3 p.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 109115267189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14760583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -493*1\/(3\/9)*4. Let t be (-2)\/3*s\/8 + -4. Suppose -3*j = u + 3*u - t, u + 2*j - 126 = 0. What is the greatest common factor of 80 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1115200*t + 0 + 7 - 7.\nAnswer: 1115200*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 881 = -5*p, 0 = 2*p + 7*l - 5*l + 344. Let q be ((-70)\/p)\/(4\/(-10)). Put -3, q, 9 in decreasing order.\nAnswer: 9, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5566 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Let j be h\/(-1) + 2 - 59999. Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 25.4. Let f be -2 - (2 + (-62)\/14). Let c = 229\/728 - 3\/104. Sort f, q, c in increasing order.\nAnswer: c, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -42*a**2 + 2*a + 3. Determine t(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1223131 * -3.4.\nAnswer: 4158645.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1126062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:10 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*y = 0, -p = -4*p - 3*y + 3. Let c be -4*(-47999998)\/(-20) + p\/(-10). Round c to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -35, -5, 9 in descending order.\nAnswer: 9, 2, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592698?\nAnswer: 2, 3, 173, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2607)\/44)\/(3\/(-56)). Suppose 7*x = n - 210. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-7)*7\/(-2). Calculate the common denominator of d\/(-4)*369\/81 and (-339)\/(-2)*30\/900.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 + 122. Solve 4*f - 20 = -5*l + 5*f, f - 25 = -a*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34\/21 + -22\/21. Solve 0 + d*v**3 + 6\/7*v**4 + 0*v + 0*v**2 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 384, 418, 464, 528, 616, 734?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213542 is divided by 372?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320 by 174760.\nAnswer: -8\/4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1414 (base 6) to base 4.\nAnswer: 11302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9238606.5 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*c - 0*c + 3*r, 0 = -5*c - 2*r + 25. Suppose 0 = -3*y - 4*w + 62, -2*y + 7*y = 3*w + 84. Calculate the remainder when y is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzkokkkkkzkkzkzokk. What is prob of sequence kko?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479969386 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3345 and 315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f**2 - f. Let j be d(-1). Let s = -7 - j. Suppose -l + 2*y = 3*l - 56, y - s = 0. What is the remainder when 44 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9458888 is divided by 80160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 288\/80 + 9\/(-15) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 651*g\/2 + 141267\/4.\nAnswer: 3*(g - 217)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -10051?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 10:03 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -498*s - 5*s**2 + 492*s + 0*s**3 + s**3. Let t(v) = -v + 1. Let q be t(-5). What is h(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l + 10*l + 13*l.\nAnswer: 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + (-11472)\/(-144). Suppose -3*r + 1600 = 22*r. Calculate the greatest common factor of r and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 7\/5 (c) -5434\/45 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 12*g**2 + 16*g + 180. Let q be u(-12). Let d(v) = -11*v - v**2 - 2*v - 17 + 0*v. Determine d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 8*d + o - 6, 2*o + 4 = 0. Let u be 1 + -3 + 8\/2. Find the third derivative of 7*n**d + n**u + 0*n**2 + n**6 - 8*n**6 wrt n.\nAnswer: -840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**2*g**3*j - 186*d**2*g**3 + 2*d**2 + 1904*d*g**2 - 30*d*g + d*j - 3*d - 105*g**3*j - g**2*j wrt g.\nAnswer: -24*d**2*j - 1116*d**2 - 630*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/19 + 281\/304. Let k be 1389\/33 - (-25)\/(-275). Let o be (49\/k)\/(-7) + (-2)\/(-12). Are o and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66*-133860\nAnswer: -8834760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -286*h**2*i**2 - 2*h**2*i + h*i**3 + 11*h*i + i**2 wrt i?\nAnswer: -572*h**2 + 6*h*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/4 of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + o = -57, -174*q - 188*q + 3*o + 135 = -359*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v**4 + 19*v**3 + 25*v**2 + 12*v + 5. Let h(o) = -17*o**4 - 28*o**3 - 37*o**2 - 18*o - 8. Let j(l) = 5*h(l) + 8*x(l). Let j(p) = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 6*i + 3. Let b be 14*(-4)\/(-8) - 4. Suppose r = b + 1. Determine u(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/24 - 5\/(-20)*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**4 - 73*w**3 + 75*w**2 - 88817 wrt w.\nAnswer: 4*w**3 - 219*w**2 + 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 19985370?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(5\/2)\/(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -665, -12.6, 4, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, -0.1, -12.6, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 4*y + 9. Let i(f) = f**2 - 5*f - 10. Let s(t) = 3*i(t) + 4*v(t). Let c = -90 - -87. Let d be s(c). Is d <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7bf90 (base 16) in base 5?\nAnswer: 112222132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -115 - -12?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 2*w + 2*w)*(-3 + 3 + 3)*(-1 - 1 + 3 + 1 - 1 + 2 + (-4 + 3 - 1)*(-1 - 2 + 1) + 1 - 2 - 2) to q + j*w and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12014.100008 - -12014.5. Let m = -0.2 + -0.2. Let y = m + q. What is y rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -701458, -705167, -708862, -712537, -716186, -719803, -723382?\nAnswer: -726917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -166002?\nAnswer: -166003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -18. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89327.\nAnswer: 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*c - 6\/13*c**3 - 4\/13*c**2 - 2\/13*c**4 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 70716\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.43966 millennia in decades?\nAnswer: 2343.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -3.9223853\nAnswer: 1.56895412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 19 = 5*v + 2*j, -4*v - 5*j = 35. Let x = v - -14. Calculate the remainder when 26 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.5643 to 1 dp.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 52, 76, 100, 124, 148?\n\"Answer: 24*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 10*s**2 + 8*s - 11. Let v be t(-9). Which is the nearest to -1? (a) v (b) -0.06 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.66 - 207.34. Let x = 201.3 + t. Let o = x + 9.700049. Round o to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.98 - -272.98. Let n = p + -291. What is the smallest value in -4, n, -2\/13, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. Let c = 8 - a. Let z = 9 - c. Is z >= -9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3330 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/u*u**(-1\/29)*u\/(u\/u**(7\/6))*u*u\/(u\/(u\/u**(-2))))**40 assuming u is positive.\nAnswer: u**(42220\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6 + 4*t - t + 0*t. Let n be x(5). Solve n = 4*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5223593.\nAnswer: 31, 167, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2) - (-6)\/(-4). Let u = -4\/9 - -1\/9. Let p = 0.02 - 2.02. Which is the biggest value? (a) p (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 711*k**3 - 2*k**2 + 6*k - 3. Let v be c(1). Let p = v - 707. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 - 79308*m. Let y(a) = -a - 1. What is y(k(u))?\nAnswer: -7*u**2 + 79308*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.08 * 19.\nAnswer: -590.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**4\/24 - 1362*h**2 + 2*h + 2. Let g(o) = -6*o**2 + 99*o - 3. Determine g(t(x)).\nAnswer: -6*x**2 - 99*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 1. Let r be -4 - (0 - (0 + 1)). What is the units digit of x(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255845102?\nAnswer: 2, 3, 209307517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 648\/13, 4, 9\/7, -168, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12c + -1?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -51 + 51 - 3*s**2 + s**2. Let l(d) be the second derivative of -d**3\/3 + 5*d**2 - 14*d - 1. What is l(m(i))?\nAnswer: 4*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 42 - 38 + 115 + 3*v + v**3 - 37 to c*v**3 + k*v + t*v**2 + s and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3 (c) 0 (d) -0.3 (e) 726 (f) -2455\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -165*h + 153*h. Calculate the smallest common multiple of h and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2403 (base 6) in base 7?\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7. Let h(k) = 15*k**3 + k**2 - k. Is h(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 475 = -15*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 + -170. Put i, 6, -2, -1 in ascending order.\nAnswer: -2, -1, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 5:35 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n + 2*h = 0, h - 8 = 3*n. Let x be (-5)\/((-15)\/24) + n + 1. Suppose 16008 = x*b - 4432. Round b to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13613, 4, -243 in decreasing order.\nAnswer: 13613, 4, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 1. Let w be g(4). Suppose -5*p + w = -19. Let i(y) = -y - 1. Let n be i(-5). Solve p = -b - 5*k, -n*b - k - 14 = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*(13 + -10). What is the second smallest value in -0.2, 6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (41 - -1)\/3. Let z = 14 - t. Suppose 18*d - 24 = 48. Sort -6, z, d in descending order.\nAnswer: d, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 3143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3224125 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000042 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 265*j**2 + 15004*j - 176. Calculate k(-183).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 0*i + 0*i**2 - 1\/3*i**3 - 3. Let c(k) = -3*k**2. Determine p(c(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -17 + (-3 - -11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 21.505\nAnswer: 21.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26398 and 33634?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326873 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 227*g**2 - 5*g**3 + 370*g**2 + 431*g**2.\nAnswer: -7*g**3 + 574*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - x - 4. Let n = 22 + -25. Let b = n + 6. Let o be f(b). Solve 2*a = u + o, -4*u + a - 8 = 2*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 2. Suppose -5*a + 7 = -q, -5*q - 5*a = -2*q + 1. Let w be t(q). Let l(p) = 11*p + 36. Let k be l(-3). Solve k*f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + 11*l**2 - 11*l + 275. Let a(o) = 2*o**3 + 4*o**2 - 4*o + 93. What is 11*a(u) - 4*x(u)?\nAnswer: 2*u**3 - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 10) + (7 - (-1 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) 9178 (c) 1 (d) 0 (e) 3 (f) 4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w**2 + 9*w**2 - 3*w**2)*((2*w + 0*w + 0*w)*(18 + 15 - 21) - 2 + 2*w + 2).\nAnswer: -312*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -48591056 divided by -12147764\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, -0.13, -2\/5, 1, -1\/3 in increasing order.\nAnswer: -1\/2, -2\/5, -1\/3, -0.13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -187*j - 47. Suppose -16*z - 68 - 44 = 0. Is o(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/20 - (-1188)\/405)*(0 + -1)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let r(v) = 19*v**2 + 4*v. Give r(h(o)).\nAnswer: 304*o**4 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1307\/3? (a) 2 (b) -3 (c) 2\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 51. Let g(d) = 6*d - 49. Let s be g(t). Solve -2*r + 3 = s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 82*t**2 + 83*t - 853. What is the thousands digit of m(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10275000 to the nearest 100000.\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40353550 (base 6) to base 11.\nAnswer: 716358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -16*v + 3740. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - o - 10*o - 14*o as v + w*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -588\/29 smaller than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*p = 7. Let w be 4 + p + 2 - -4. What is the highest common divisor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.46611 + 0.38769. What is y rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.313 + -0.087. Let l = o + 7.5. Let x = -1\/9 - 5\/9. What is the third biggest value in x, -2\/13, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69246705?\nAnswer: 3, 5, 11, 73, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -55*d**2 - 12. Let s(g) = -138*g**2 - 30. Let n(o) = -12*m(o) + 5*s(o). Differentiate n(f) wrt f.\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*h*i**3 - 3*h*i - 155*h - 1110293*i**3 - 3*i + 749 wrt i.\nAnswer: 234*h*i - 6661758*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -228474, -228511, -228548, -228585?\n\"Answer: -37*v - 228437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-59473.56\nAnswer: -118947.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1998163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 995326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 797694*z**2 + 53026309803*z.\nAnswer: 3*z*(z - 132949)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203101 + -203033103?\nAnswer: -203302210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/17 (c) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + p**2 - p + 1. Let o = 3 - 2. Let m be v(o). Which is the closest to 0? (a) -0.1 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1023)\/4)\/(12\/(-32)). Suppose -2*x - 4*n + 6502 = l, 5*n = 25. What is x rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 3*d + 28. Let m be b(4). Solve 8 = 2*t - 3*f, -t + m*t - 6 = f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + u - 156862 = 0, -2*z + 6*u - u + 104603 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 972154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37158, -36676, -36210, -35766, -35350, -34968, -34626?\nAnswer: -34330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -63750 to the nearest 1000.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 2 + 6 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujujujjjjjjjjjjjjjj. What is prob of sequence ju?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89790378?\nAnswer: 2, 3, 97, 154279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1073, -1067, -1059, -1049?\n\"Answer: v**2 + 3*v - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*y = 90*y + 101*y + 89928. Calculate the least common multiple of y and 2.\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0533, -11, 5, 1, 0.03 in increasing order.\nAnswer: -11, 0.03, 0.0533, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 - 580. Let s = 263610.719149 + -263921.719. Let v = s - y. Round v to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -50, 0, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1476\/(-2460) + 98\/5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 71*u - 76*u - 43, 403 - 471 = -3*l + 10*u for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:26 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/44 - (-69)\/33. Solve 7 = -x*j - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/61580992 and 89\/128?\nAnswer: 123161984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3834*h**3 - 2*h**2 + 3*h - 2. Is w(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43410949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33.1 - -222\nAnswer: 188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 3*a + 113. Let c be (-12)\/a - 60\/693. Let i = 4.72 + -2.72. What is the third smallest value in 1\/4, 2\/11, i, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*f = 448*f + 1360 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 30. Suppose -28 = -2*z - 3*b, 5*z - 49 = -0*b + a*b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121838 to 4 dps.\nAnswer: 0.1218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77758 is divided by 288.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13372.23 to the nearest one hundred.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.2. Suppose -8*y + 11 = -13. Which is the third biggest value? (a) y (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -5)\/(2 - 0). Let d(b) = -4*b + 2. Calculate the remainder when (o\/1)\/((-5)\/(-95)) is divided by d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooxxoooooo. Give prob of picking 1 x and 1 o.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36225144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -6, -2\/13, 22, 4\/9 in descending order.\nAnswer: 22, 4\/9, -2\/13, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 213210 (base 7) to base 12\nAnswer: 195b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*88038.\nAnswer: -1760.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -238309932 divided by 166\nAnswer: -1435602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddjdjngjgnddgddgjdm. What is prob of picking 1 n and 1 g?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/8)\/t**(-1\/10))\/(t\/t**8)**(-14) assuming t is positive.\nAnswer: t**(-3891\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 484, 0, -2\/5, 0.8.\nAnswer: -2\/5, 0, 0.8, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 56*c - 8192. Calculate f(34).\nAnswer: -5132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*1\/(-4)*10\/45. Is g at most as big as 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 80b351?\nAnswer: -80b348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 8*j**2 + 11*j - 1. Let s be ((0\/(-2))\/((-2)\/2))\/2. Suppose 2*c - 3 = -r - 4*r, -3*c + 2*r + 33 = s. What is the units digit of y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/880 and -57\/722216?\nAnswer: 7222160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 11*n + 603. List the prime factors of n.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19031359*g**2 - 22830252*g wrt g?\nAnswer: -38062718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48454 is divided by 3228?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4, -0.1, 87?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 0*g + 3*g + (-4 + 4 + 1)*(2*g - 6*g + 2*g) + (5 - 2 - 1)*(g - 6*g + g) in the form z*g + n and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 18, -3 in decreasing order.\nAnswer: 18, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 188274 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 1. Let q = -55 - -107\/2. Let v = -437\/63 - -47\/7. Which is the closest to v? (a) 0 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 67, 41, -5, -77?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + (sqrt(13) + -4)*-4 + (sqrt(1053) + -3)*-5)**2.\nAnswer: -2744*sqrt(13) + 31999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28501*a**5 + 9845*a wrt a.\nAnswer: 570020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -60, 0.5, 46, 0.1, -7, -0.3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 57 = -t - v + 11 - 74, 4*t + 42 = 6*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t + 35*t - 122*t - 114*t to h + b*t and give b.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1 - 0) - 0. Suppose 5*d + 4*j - 3 = -15, -j + 14 = -3*d. Let x be (-10)\/(-3) - -6*2\/d. Which is the closest to l? (a) -1 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -107*k + 110*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/4 - 75333*d**2\/4 - 75321*d = 0. What is d?\nAnswer: -25107, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -17*d + 8*d. Suppose 3*c - 20 = 5*g - 2*c, -2*g - 2 = c. Put 1, g, -36, d in decreasing order.\nAnswer: 1, d, g, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + w + 1. Let n be z(-1). Let i(j) = 0*j**n - 2*j**2 + 0*j**2 + 3*j. Let u be i(2). Which is smaller: -4\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.21420886 to 2 dps.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 115.2. Let g = n - 11. Is g less than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02536 - 5\nAnswer: -4.97464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -166106440 divided by -15935\nAnswer: 10424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24991 - -24991.4. Which is the closest to -1? (a) l (b) 0.6 (c) 48\/31 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-8))\/(5\/20). Let h(a) = -3*a**2 - 35*a - 20. Let d be h(-11). Sort d, 0, g.\nAnswer: 0, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -1 - (1008 + -1001)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**6 + 2*f**5*p + 17*f**4 - 1033*f**2*p wrt f.\nAnswer: 960*f**3 + 120*f**2*p + 408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002127055 rounded to 7 decimal places?\nAnswer: -0.0002127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4822.\nAnswer: 1\/2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 41*i + 198. Let w be n(-5). Solve -39*g + 30*g + w = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27304355 (base 8) to base 12\nAnswer: -2077491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let k(b) = -149*b**2. Let u(v) be the third derivative of -5*v**5\/6 - 2*v**2. Let c(z) = 3*k(z) - 8*u(z). Calculate c(p(q)).\nAnswer: -188*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183 - -3 - -9 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**0*d**(3\/10)*d*d**28*d\/d**(-6\/5) assuming d is positive.\nAnswer: d**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2\/8 + 132639*h + 11728736214 = 0.\nAnswer: -176852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-24)*(-176)\/(-792)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.9421488 to one decimal place.\nAnswer: 40.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13 - 11*z**2 - 15 - z + z. Let v(q) = 418*q**2 + 77. Let g(r) = -77*k(r) - 2*v(r). Let n(m) = 3*m. What is g(n(x))?\nAnswer: 99*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110) + 1*sqrt(110)*1)\/(sqrt(10) + -1*(sqrt(30)\/sqrt(3) + sqrt(10))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 154 - 130 = 0. Let z(w) = w**3 - 5*w + 1. Determine z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*t = -1019*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14686308 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 715 + -328. Is 32 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - 1)*1 + 76 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2149, -3, 3, 32, 0 in descending order.\nAnswer: 2149, 32, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 7, n: 6, g: 4}. Give prob of picking 1 r and 3 g.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**17)\/s*s**(2\/83) assuming s is positive.\nAnswer: s**(1413\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 11. Suppose -25 = -14*j + 9*j. What is y(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*a**4 + 9680*a**3 - 21564*a**2 + 16119*a - 4023.\nAnswer: -(a - 149)*(4*a - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 - 48*d**2 - 10*d - 34. Give j(12).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2)*k)*k*k**(-3\/2)*k)**(1\/13)*k\/(k*k\/(k**2*k))*k*k*k*(k\/k**0)\/k*(k*k\/(k*k**(-1\/2)\/k)*k)**(-1\/16) assuming k is positive.\nAnswer: k**(2069\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.082838mm?\nAnswer: 0.005082838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*q**3*r**3 - 2*m*q*r**3 + 2*m*q*r**2 + 2*m*q - 2*m*r + 22092*q**4*r**2 - 88*q*r**3 wrt q?\nAnswer: -6*m*q*r**3 + 265104*q**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 301*h**2 - 12*h + 3. Let i(f) = -602*f**2 + 20*f - 5. Calculate -3*i(v) - 5*k(v).\nAnswer: 301*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 110426251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -23 + 16 + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329493715?\nAnswer: 5, 11, 1009, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646667*h + 87 = 3*m - 646664*h, 0*m + 15*h - 371 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6*x - 52 = 0, -3*v + 198 = -3*x + 222 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 18. Let w = 10 - u. Which is the nearest to -0.1? (a) w (b) 3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -47. Is 1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767716476?\nAnswer: 2, 3, 61, 1048793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + -8 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 12. Let r be (y - -18)\/(3 - 2). Let z = 2 + r. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -984\nAnswer: -1\/984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*d + 1468 + 3779 = 0, 4*d - 8723 = -5*m. What are the prime factors of m?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 3115*l - 118437. Calculate m(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -29875658?\nAnswer: -1\/29875658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 3*l + 0*l**2 + l**4 - 7*l**2 - l**3 - 5*l. Let s(x) = x**4 + 12*x**3 - 51*x**2 - 4*x. Let o(w) = 2*r(w) - s(w). Factor o(u).\nAnswer: u**2*(u - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005453 rounded to four decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - l + 376 = 0, -6*q + 77 = -5*q + 2*l. Suppose q = 5*u - 2*u. Solve 2*s + 3*s = -u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-104)*-2 - (-122)\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*h - 108*h - 5361*h**3 + 5348*h**3 + 202*h - 23.\nAnswer: -13*h**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 7*l + 0*l)*(39 + 11 - 16)*(-4 - 3 + 1 - 2 + 0 + 1 + (0 + 0 + 2)*(-1 + 7 - 3)) in the form y + b*l and give b.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 14*k**2 - 11*k - 57. Determine n(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:54 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 106*b**2 + 436*b + 440 = 0. What is b?\nAnswer: -2, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Let o be (-18)\/63*21\/15. Which is the third biggest value? (a) w (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 243, 363, 483, 603, 723?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -9 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0\/2 - -23. Let f = -7 - -9. Suppose -k = f*k - i. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 4*p**2 - p + 4*p**3 + 0*p - 2*p**3. What is the units digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 4*r + 59, 0 = -4*r - 2*k + k - 40 + 51 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25694 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 5*r**2 + 5*r - 10. Calculate x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6432)\/(-672) - 6\/(-14). Solve -2*c + 0*c = i + h, -3*c - 15 = -4*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-200752)\/(-33)*(-7)\/14. Let p = -9079\/3 - s. Let k = -15 + p. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*o + 13. Let q(w) be the second derivative of 19*w**3\/2 + 5*w**2 - w. Let d be q(o). Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -499*m - 57. Let p(c) = -249*c - 26. Calculate -6*h(k) + 13*p(k).\nAnswer: -243*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30123 + 301?\nAnswer: 31030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 341, -190, -3, 4 in descending order.\nAnswer: 341, 4, -3, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-135) - (-12)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707047 to the power of 1\/2, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8648700*h**2. Let n(j) = -j**2. What is n(y(g))?\nAnswer: -74800011690000*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 = -5*v + 7*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 15*r**2 - 56*r - 199. Calculate the remainder when 2377 is divided by i(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 48 = -12. Suppose -c - 31 = -5*s. Let o = 8 - s. Solve 4*q + o*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196354 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 - 2 + 2 - n - 2*n**2 + n + (3*n - 2*n - 2*n)*(-3*n + 0*n + 2*n) + 4*n**2 + n**2 - 3*n**2 + (-4*n - 5*n + 14*n)*(0*n - n + 4*n).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p + 12 = 0. Let u = p - 8. Let o(g) = -2*g + g + 2 - 4. Determine o(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = -12. Let t = -2 - -2. Let f = 2 - t. Which is the nearest to f? (a) -5\/6 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 523 + -305. Let b = w + -154. Let j = 63.9837 - b. What is j rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/880 and 39\/2090?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 7*w + 400 + 40 + 399.\nAnswer: 2*w + 839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(7*(-4)\/(-28)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -17\/3*z**3 - 6*z + 12 + 0*z**2. Differentiate f(i) wrt i.\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 10:45 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -31, -1, -7, 0 in decreasing order.\nAnswer: 4, 0, -1, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*w = -98*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*u + 28, 32 = -0*u + 4*u + 10*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0573 rounded to three dps?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 2 t when four letters picked without replacement from qcsqsctstctqctcqcct.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 13*l**2 - 5*l - 62. Give q(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 + 17.879192.\nAnswer: 16.579192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8856443nm to micrometers.\nAnswer: 0.0008856443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -32 + 68 + 4*k**2 + k**3 + 2*k + 0*k - 34. Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536014891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 15*l - 5 - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from rvfrvvrvrvvrvvvrbr.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*n - 900, -3*j + 181 + 389 = 3*n. What are the prime factors of j?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(21\/1)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1667, -1832, -1997, -2162, -2327?\nAnswer: -2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1757 is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 794259923 != 794259923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, 25, 3241 in decreasing order.\nAnswer: 3241, 25, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:45 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert ff (base 16) to base 12.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/6 + d**3 - d**2\/2 - 26*d\/3 - 10 = 0?\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/a**(-3)*a)\/a)**(2\/45)*(a**9\/a)\/a*(a\/a**(-3))\/a assuming a is positive.\nAnswer: a**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x + 6*x - 1378. Do 380\/7 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(21\/6)\/(-1). Let l be -5*133\/h - 3. Let g(z) = -z + 13. Determine g(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*b**3 + 13*b**3 + 67*b**3 + 72*b**3.\nAnswer: 272*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 56*n + 14. Let d(s) = -6*s. Give x(d(w)).\nAnswer: -336*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -92*i**2. Let u(v) be the second derivative of -2*v**3\/3 - 148*v. What is u(o(s))?\nAnswer: 368*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(32) + (-1*sqrt(2048) + sqrt(2048))**2 + 1 - (1 + sqrt(2048))*-6) + 2.\nAnswer: 5 + 196*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 11*i**5\/6 - 35*i**4\/24 + 114*i**2. Find the second derivative of t(l) wrt l.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7328578 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 297\/5 + (-8)\/20. Let j = g + -35. What is the greatest common factor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 + 1\/1. Suppose 0*f - s*f = -6. Suppose -55 = -v + f*d, -v + 0*d + d = -47. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 41. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -17*(3\/(-1) - -1). Let r = k + -60. Let b(l) = -l**3 - 75*l**2 - 68*l + 417. Let c be b(-74). Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63\/(-273) - (-9247)\/40859. Which is the smallest value? (a) n (b) -0.13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4\/5 + 48*q**3\/5 + 108*q**2\/5.\nAnswer: 4*q**2*(q + 3)*(q + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*k - 3 + 3.\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/220878 and -107\/315.\nAnswer: 1104390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57256 + 57251. Suppose 4*t - 11 = 5*d, -d + t = -3*t + 15. Let s = 0.6 + -0.1. What is the closest to d in o, s, -5\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-45)*50\/(-20). Which is the nearest to 1? (a) 5 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3251533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((6\/8)\/(71\/((-10224)\/(-108))))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(-1) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61870.\nAnswer: 2, 5, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - -2 - (2 - 6\/(-6)). Solve -c + 11 + x = 4*y, 0 = c - 5*y + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 + 122. What is the highest common divisor of k and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:48 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001224 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 2*s**2 - 3610 - 24*s**2 + 2*s**3 - 9*s**2 + 3612.\nAnswer: 2*s**3 - 30*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose -3*l + w = 3*h, -4*l - 2*h - 1 = -11. Suppose 8 = 5*z - 0*z - 2*k, -14 = -5*z - l*k. Solve 0 = j - z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:57 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 65*j**3\/6 - 377*j**2\/2 + 24*j + 1. Differentiate n(l) with respect to l.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let x be a(-1). Calculate the highest common factor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 7*b**6\/12 + 4*b**5\/5 + b**4\/8 - 672. Factor o(a).\nAnswer: a**3*(a + 1)*(7*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/36495417 and 55\/196476.\nAnswer: 145981668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4190 - 3*s + 19*s**3 + 4190.\nAnswer: 19*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17227094 != 17227096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - h + 45 - 172, -4*h = -3*l + 130. What is the highest common divisor of 18 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n + 0*n)*(1 - n**2 - 1)*(2 + 5 - 3).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 20 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3807, 3459, 2477, 543, -2661, -7453, -14151?\nAnswer: -23073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24419196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 2130\/373?\nAnswer: 2130\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*b + 3*b + n, 9*n - 2*n = -9*b + 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.9900607\nAnswer: 1.9801214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12614 (base 13) to base 16.\nAnswer: -84c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 - 120*y - 32 + 48*y**3 - 6*y**5 - 56*y**2 + 8*y**3 + 16*y**4 = 0. Calculate y.\nAnswer: -2, -1, -1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4 + 0 = -2*q, 3*q + 4*u + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - (sqrt(300) + 2 + sqrt(300))**2 - ((1*sqrt(36))\/sqrt(12) + sqrt(3)).\nAnswer: -1204 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29428 or 2942923\/100?\nAnswer: 29428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:38 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 + 32*j**3 - 172*j**2 + 232*j - 96 = 0. Calculate j.\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.179 (c) 0 (d) -7 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a8b (base 14) in base 8?\nAnswer: 4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/8 + 23*(-4)\/16. Put 1, 39, x, 1\/5 in decreasing order.\nAnswer: 39, 1, x, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*j = -14, 5*d = 241*j - 246*j + 30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9 - 0.1. Let q = 676 + -672. Sort -1, k, q in descending order.\nAnswer: q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 12:59 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - -2. Let y be (-48)\/(-5) - (-10)\/25. What is the remainder when x is divided by 206\/y - (-10)\/25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833322 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-j + 2*j - 4*j) + (3 - 1 - 6)*(-4*j - 2*j + 4*j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -0.4 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 2. Let v be t(2). Let l(q) = 3751*q + 26282. Let w be l(-7). Let s be (-18)\/(-8) + 1\/(-4). Solve w = -2*r - 3*o - s*o, v = -2*r - 4*o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892273939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2511034 + -4?\nAnswer: 2511030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 6020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.209544 + 2.21. What is x rounded to five dps?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434 - -433.5. Let f = 3.2 + -4. Let l = -0.2 + f. What is the third smallest value in p, -0.4, l, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2731*((-4 - 8) + 11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/18 + (-1)\/63*-12.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 11:10 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five eighths of a microsecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/20 - 103\/14. Let v be (-3)\/(-12) + (-262)\/40*1. Let c = v - x. Sort 3, c, 1\/2 in decreasing order.\nAnswer: 3, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*x + 218 + 147 = 0. Let p(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 2*a**2 - 5*a - 1. What is p(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30 - 34 - h**2 - 44*h**6 + 39*h**6 wrt h.\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m. Let w = -9 - -3. Let l(s) = -4*s. Let t(v) = w*r(v) + 4*l(v). Let p(c) = 0 + 0 + 2*c**2. Determine t(p(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/99 (b) 1.50133 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 - 24*k**4 + 30*k**3 + 24*k**2 - 27*k = 0. Calculate k.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(1872) - sqrt(1872)*2 - sqrt(1872)) + 4 + (sqrt(1872) - 3*(sqrt(1872) + 0)))**2 - (2*(sqrt(1872) + 0))**2*-4)*1.\nAnswer: -359520 + 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-221)\/(-104)*18\/3*11\/(-33)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -11149, 0, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 39652*c**2 - 317132*c - 792880.\nAnswer: -(c - 39644)*(c - 10)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d + 524. Let i be (-39)\/364*-8 - (-671)\/(-7). Let q = i - d. What are the prime factors of q?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:13 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*b**3 + 294898*b**2 + b + 19550503 wrt b?\nAnswer: -75*b**2 + 589796*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19508023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-82)\/2)\/((-5 - -1) + 3). Suppose 0 = -g + j + 19, -j = 7*g - 5*g - k. Calculate the lowest common multiple of 16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5115, -5997, -6867, -7725?\nAnswer: -8571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14948, 13116, 11284, 9452, 7620?\n\"Answer: -1832*n + 16780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/16)\/(4 - (-270)\/(-48)). What is the third biggest value in 0.07, -6, c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -171*m - 2573. Let z be c(-15). Sort z, 75, -5 in increasing order.\nAnswer: z, -5, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 4*x**2 - x**2)*(12*x - 5*x + 6*x + 4*x)*(-39363 + 39363 + 511*x).\nAnswer: 17374*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1335, 11, -3\/7, 0.05?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/17 + 982356*f\/17 + 3929392\/17 = 0.\nAnswer: -491174, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 536724*m - 5. Let p(n) = -7*n. Give q(p(c)).\nAnswer: -3757068*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -391716, -391728, -391742, -391758?\n\"Answer: -s**2 - 9*s - 391706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*j**2*o**2 - 316*h*j*o**3 + h - 2*j**2*o**2 + 542*o**3 with respect to h.\nAnswer: j**2*o**2 - 316*j*o**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95985*r**3 + 312441*r**3 + 209697*r**3.\nAnswer: 426153*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 22\/9, -1 in increasing order.\nAnswer: -2, -1, 22\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/94*(-8)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n**2 + 4*n - 7. Let r(d) = 7*d**2 - 2*d + 3. Calculate 3*m(v) + 7*r(v).\nAnswer: 7*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1750 + -1619. What is the remainder when m is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541068 divided by 180356.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (172*q**2 + 2*q**4 - 55*q**2 + 83*q**2)*(1 + 4 - 3) to k*q**4 + n + g*q**3 + v*q + s*q**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73900100.\nAnswer: 2, 5, 37, 19973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6 - (-38)\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 32. Let l = q + 6. Let u = -18 + 18. Which is the nearest to u? (a) 7 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -121201101111100?\nAnswer: -121201101112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111545?\nAnswer: 5, 422309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -225. Let g be (-5)\/(-15) + i\/9. Solve -5*v + z = g, -v = z - 4*z - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*q + 172044 - 5*q - 171787 + (-1 - 2 + 2)*(2*q + q - q) + q + 4*q - 4*q to the form k + w*q and give k.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 34*m - 68. Let q be r(18). Calculate the greatest common divisor of 34 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -5*a + 3*x + 1 = 0, 2*a - j*x - 2 = -2*a. Solve -3*l = -4 - a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 1*(-2 + sqrt(2) + sqrt(2) + sqrt(2)) + sqrt(2) + sqrt(2))*4 + 1)**2.\nAnswer: -336*sqrt(2) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -651.96 + 653. Which is the biggest value? (a) 1\/8 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 289.1542563 to two dps.\nAnswer: 289.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349067?\nAnswer: 103, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)\/((-12)\/24). Suppose c = -4 + 3, -2*c - 12 = -5*w. Suppose 0*y = y - w. Solve s - 2*j - y + 3 = 0, -4 = o*s - 4*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6623592 times 34?\nAnswer: -225202128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -4) + 2 + 711. Suppose -l + 3*l = 46. Calculate the remainder when (v\/(-20))\/((-4)\/10) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 974, 975, 976?\n\"Answer: x + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1519 and -23\/77.\nAnswer: 16709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8313, 8500, 8825, 9288, 9889?\n\"Answer: 69*t**2 - 20*t + 8264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -0.9. Let m = l + -5.8. Let d = m + 5.6. What is the third smallest value in -4\/7, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6354 and 36.\nAnswer: 12708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.68 - 17. Round o to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 - 359*p**2 - 690*p + 2361642 wrt p.\nAnswer: 3*p**2 - 718*p - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, -247618 in ascending order.\nAnswer: -247618, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -16036.\nAnswer: -16045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -190640.\nAnswer: -190640.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z*z**(-5))**(15\/8)\/((z\/(z*z*z\/(z*z**(-1\/3)*z)*z))**(1\/64)*(z**0)**(-48)) assuming z is positive.\nAnswer: z**(-101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 28, -0.4 in ascending order.\nAnswer: -0.4, 0.4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28167, 27705, 27243?\n\"Answer: -462*m + 28629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5662*n + 210986 = 603*n - 77109 - 31420 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -78*p + 9. Let x(u) = -2*u - 67. Calculate x(w(j)).\nAnswer: 156*j - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (12 + 0 - (87 - 82)) - 74?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -982 = -982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c - 3115. Let y = -2135 - c. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 6*z + 61. What is the hundreds digit of c(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65745781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 89599686?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 2 + sqrt(75))*4)**2.\nAnswer: 640*sqrt(3) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.231 - 0.031. Sort -0.5, 3, -4\/5, n in increasing order.\nAnswer: -4\/5, -0.5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95569*n**5 + 15*n**4 - 3*n**2 - 63*n - 415 wrt n?\nAnswer: 5734140*n**2 + 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = 28*h + 378 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202520 (base 6) in base 10?\nAnswer: 16176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0)**(1\/11)\/((u*u**(4\/7)\/u)\/u*u**0)*(u**(-8)\/(u*(u\/u**(1\/4))\/u*u))**(2\/63) assuming u is positive.\nAnswer: u**(97\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**8\/2352 - 3*t**7\/490 - 19*t**6\/840 - t**5\/140 + 5*t**4\/42 + 2*t**3\/7 + 45*t**2. Determine u so that m(u) = 0.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1) + 0 + -1. Let l(w) = -w**3 + w - 2. Let t be l(k). Let -4*a**5 - 16 - 3*a + 12*a**4 + 6*a**5 + 22*a**3 - 21*a + t*a**2 = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135548892 is divided by 87?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h + 7 - 91 = 0. Solve 5*j = -2*v + 3*j, -h*v + 4*j = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12207 - -0.1215789. What is n rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -3 + 3 + -5 + (19 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.8247 times 0.1\nAnswer: -0.48247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403 (base 10) to base 7.\nAnswer: -1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 42*g + 4048. What is n(-46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -236\/1502819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and ((-12)\/(-9))\/2*(3 + 30)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/15035 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1969.9 + -2139. Let i = w + 161. Round i to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 6, 0.4, 1\/6, -3\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014108167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/9)*k)\/k**3)\/(k**(-2\/7))**7*(k**1)**(-1\/10)\/((k*k\/((k*k**1*k)\/k))\/(k\/k**(-2\/3))) assuming k is positive.\nAnswer: k**(181\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s - 49. What is n(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*l + 2927 = 0, 403 = z - l - 184. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**3 - 2*f**3 - 9*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 6*r**2 + 6*r**2 + 2*r**3 - r**3 in the form s*r**3 + q*r**2 + m + y*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 21459.7 to the nearest 100.\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10533224 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: Solve p - 14 = -t, 33*p - 11*p - 39*t = 10*p + 9*p - 168 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1999350, -3998705, -5998060?\nAnswer: -7997415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331 + 293. Let f = u + 36. Let p = 4 + -3. What is the nearest to p in -4, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o + 43*o - 48*o + 39*o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7151385?\nAnswer: 3, 5, 476759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/43 - -268\/215. Factor 9\/5*u + 1\/5*u**5 + 14\/5*u**3 + v*u**4 + 2\/5 + 16\/5*u**2.\nAnswer: (u + 1)**4*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2851 = p + 5*w, -526*p + 4*w = -531*p + 14192. List the prime factors of p.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1148 and 127\/17220.\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 0 - (-8 - -7). Let y(t) = 4*t**2 - 2*t**2 + 0*t**f. Let u(a) = -7*a**2. Calculate u(y(k)).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k - 62. Let b(j) = 28*j + 341. Let c(s) = 2*b(s) + 11*o(s). Let g(y) = 641*y**2. What is c(g(u))?\nAnswer: 641*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509109.37 rounded to the nearest one thousand?\nAnswer: -1509000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 567285 <= 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1494 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 > -6401251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.65 - -4.65. Suppose -2*d - 5*l = 2, 3*l - 3 = 2*d - 1. Let g be (4\/3)\/(d - 1). Which is the nearest to g? (a) 1 (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 104*j + 37. Let i be x(35). Let y(z) = 30*z**2 + 30*z. What is the hundreds digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12995638\/113 bigger than -115006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.746 - 0.054. Let k = -3.3 - g. Do k and -1\/2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69337004 and 836?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482*f + 1224 = 478*f. Let b = 748 + f. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 115\/(-15))*-3. Suppose -4*p = 12, 6*s = 2*s + 2*p + 62. Find the second derivative of -3*v + 10*v**4 - l*v + s*v wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3334355\nAnswer: 1\/666871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5088\/9)\/(8\/(-60) + 21\/120).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360497319 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + -0.1. Let u = 5 - 5. Let g = -245\/6 + 1231\/30. Sort u, m, g in decreasing order.\nAnswer: g, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -101202?\nAnswer: -101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 313125\/((11128\/(-768) - -13) + 6\/4). Round u to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b = -3*f - 123*b - 25, b - 5 = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4))\/(x\/x**1)*(x\/(x*x**(-4)*x))\/x**(-3\/2) assuming x is positive.\nAnswer: x**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1160\/95)\/2 + 26\/(-247). Let r(c) = 7*c**3 - 6*c**2 + 3*c. Let o(j) = -20*j**3 + 17*j**2 - 8*j + 1. Give m*o(b) + 17*r(b).\nAnswer: -b**3 + 3*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6611666.\nAnswer: 2, 3305833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57828950693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 + 5*q**4 + 2*q**5 + (-4 + 4 - 2*q**3)*(4*q - 4*q**2 - 4*q) + 0*q**2 + 0*q**2 + 2*q**5 + (-3*q**4 - 2*q**3 + 2*q**3)*(2*q - 4*q + q).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z + 3*z)*(z**2 + z**2 + 0*z**2) + 55*z**3 + 1612*z - 1612*z in the form b + h*z**2 + x*z**3 + j*z and give x.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111432.\nAnswer: 2, 3, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 7:30 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(77) - sqrt(77)*1)\/sqrt(11))*6 + -4 + 1*sqrt(252) + -5 + sqrt(252))**2.\nAnswer: -216*sqrt(7) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23699246, -47398488, -71097730?\nAnswer: -94796972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 162 - 162 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 87966, 2 in descending order.\nAnswer: 87966, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-2))\/(1\/(-9)). Solve -4*c - q = 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 50. Suppose 0 = u + u + 8. Calculate the lowest common multiple of u\/c*(-40)\/4 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 3*y + 4*y. Let o(n) be the third derivative of y + 0*n**3 + 0*n**4 - 1\/60*n**5 - 6*n**2 + 0*n. Factor o(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 - 6*x**3 + 5*x**3 + (3*x - 2 + 2)*(x**2 + x - x) + 2*x**3 + 42*x**3 + 4*x**3 + 9*x**3 to the form w*x + i + g*x**3 + c*x**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 0 - (6 - (12 + (13 - -5)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 + s - 2. Let m = -7 - -9. Let f be r(m). Solve 19 + 1 = -f*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1210 - 12?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 92 = 14*s + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/36, 0.4, -383, -3, -1, 5?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j - j)*(20*j - 2*j + 12*j)*(91 - 91 - 11*j).\nAnswer: 660*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -53*b + 76 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-420)\/(-20))\/(1\/(-1)). Let r = -17 - m. Let p be 112\/63 + r\/18. Solve 0 = 2*z - 2*k - 6, p*z - 4*k = 5*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1, 407, -8 in decreasing order.\nAnswer: 407, 1, -4\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 974791 to the power of 1\/2, to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 32 = -3*h, 4*h - 37 = h + 5*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 + 4*l**2 - 3*l + 1. Give w(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 265472 and 20740?\nAnswer: 1327360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 1\/2, -3\/8, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.1. Let q = r - -0.1. Let o be (-189)\/360 + ((-8)\/5 - -2). Put q, o, 0.4 in ascending order.\nAnswer: o, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2515 is divided by 295?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292402.\nAnswer: 2, 11, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -5 + 16 - -30.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3\/7, 0.1228, 1.1, 68\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-7119)\/(-15255)*(-3)\/14?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q - 37. Let u(d) = 6*d - 39. Let z(v) = -4*h(v) + 3*u(v). What is the tens digit of z(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvv when four letters picked without replacement from qqqvvqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 - 1)*(-4*b + 48*b - 21*b).\nAnswer: -253*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.664 + -0.336. Let t = -0.43 + -0.47. Which is the closest to 1\/3? (a) o (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25\/3*v - 16 - 1\/6*v**2 = 0. What is v?\nAnswer: 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75623349 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3205)\/(-10)*(17 + (-3)\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - j)*(j**2 + 0*j**2 + 0*j**2) + 2 + 2360*j - 2*j**3 - 2405*j + 0*j**3 - 5*j**3 + j**3 + 2*j**3.\nAnswer: -5*j**3 - 45*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*2*(sqrt(425) + 2 + sqrt(425)).\nAnswer: -60*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.017. Let n = -0.227 - p. Let x = -1.271 - n. Round x to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*o - p + 51, -2*o = 2*p + 22. Let b = o + 16. Suppose -4*k = 5*q - 105, -5*k + 85 = -k + q. What is the greatest common divisor of b and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 9, -9, 0 in ascending order.\nAnswer: -14, -9, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = s - 0, 4*t = -s - 2. Let g = -2\/1641 - 1637\/3282. Let l = -4.99 - 0.01. Which is the closest to s? (a) l (b) g (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 812 and 26306.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**2 + 7*j - 73. Let d(u) = 5*u**2 + 1. Give 2*d(o) + f(o).\nAnswer: 2*o**2 + 7*o - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 2*l**3 + 2*l**3 + (4 + l - 4)*(3*l**3 + l**3 - 5*l**3) + l**4 - 4*l**4 + 5*l**4 + (3*l**2 - 1 + 1)*(-25*l + 282 - 282)*(-4*l + 0*l + 2*l).\nAnswer: 153*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 300*y**3 - 82*y**2 - 2*y + 4. Let s(j) = -j**3 - 2*j**2 + j - 2. Let v(d) = -b(d) - 2*s(d). Find the third derivative of v(l) wrt l.\nAnswer: -1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u + 49*u + 20*u + 51*u - 163*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 28, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = 3*i - p, 51 = -4*i - 3*p. Let q = i - -10. Solve 0 = -z - 0*z + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, 2\/11, -244.6?\nAnswer: -244.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 12454698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttyr when four letters picked without replacement from rrrtryrtrry.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -0.49.\nAnswer: -1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(((m**(4\/9)*m)\/m)\/m)\/m*m*m*m*m**8\/m*m*m*m*m**2\/m*m*m**(1\/7))\/((m\/(m\/(m*m\/m**(-1\/4))))**(-2\/59))**21 assuming m is positive.\nAnswer: m**(120349\/7434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 12*t - 39. Let j be b(27). What are the prime factors of (-9 + 10)\/((-2470)\/j + 1)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386838 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2247804 is divided by 39435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3998 - 4017 = -b - 3*a, 6*b - 15 = -3*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oojooooooooojjo.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -566464 by -32.\nAnswer: 17702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -198 (b) 0.04 (c) 0.3 (d) 1\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 50. Suppose 115 - m = 3*l. Let y = l - 36. Solve 12 = o + y*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 448 + -455. Let k be (-3 + 4)\/(i\/35). Sort -6, k, -3 in descending order.\nAnswer: -3, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-908)\/12 - 4\/(-6). Let q be (-2)\/(-9) - b\/27. Solve -q*k - 17 = -4*t, 5*k + 3*t + 0*t = 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a2535 (base 16) to base 8\nAnswer: -2422465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -78898.5 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-24))\/(2\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(68) - (sqrt(68) - (sqrt(68) + 1 + sqrt(68) + -5))) + sqrt(68) + 4 + 3 + -5 + -2)**2 + -5.\nAnswer: -240*sqrt(17) + 3135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/129 (c) 2\/9 (d) 168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 109 in decreasing order.\nAnswer: 109, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1838460*z - 919227*z + 2*z**2 + 0*z**2 - 919233*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/((-230)\/552)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 25 = 0, i - 6*g + 2*g = 1909. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862555.\nAnswer: 5, 167, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/d**13*(d*d\/(d*d**(-7\/3)))\/d**0 assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-173048.\nAnswer: 519144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(0*y - 2*y + 4*y) + 4*y - 6*y + y + 0*y - 3*y + 4*y)*(-495 - 275 + 224)*(y - 5*y - 2*y).\nAnswer: 6552*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**12*u**(-13) assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -9. Let v = p + -30.6. Is v greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*q**2)*(-2 - 3 + 6)*(q**2 - 4 + 4).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 20*z - 15. Let a(k) = -3*k**2 - 13*k - 10. Let n(y) = -8*a(y) + 5*s(y). Suppose 10*q + 3*l = 5*q + 37, 3*q = 3*l + 3. Calculate n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkt. Give prob of picking 1 k and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*k + 34 = 0, 4*f - 967 + 935 = -4*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 636*b - 1780. List the prime factors of l(8).\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r - 1914261 - 4250120. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(-1204)\/(-7). Suppose 3*v + 4*p = f, 4*v = 2*p + p + 73. Calculate the remainder when 87 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 + 62*w - 1. What is q(8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 6) to base 13\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pieiegeiige. Give prob of picking 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(1 - 48\/56). What is the greatest common factor of 350 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00807734994 to five decimal places.\nAnswer: -0.00808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -287500*z**4 + 3*z. Let k(j) = j + 2. Let g be k(-4). Let l be t(g). Round l to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**1\/w)\/w)**(3\/11))**(-1\/21))**(-6\/13) assuming w is positive.\nAnswer: w**(-6\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (8 - 8 - 5)) + (12 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-700)\/110)\/2 - (-1 + -2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 2326534?\nAnswer: -2326539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 198*f + 196*f = 16, -2*f - 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4202042 (base 7) to base 6.\nAnswer: -14453342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307\/2 - (4\/8 - 1)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*y - 189*y - 120 + 902 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1015, -2024, -3031, -4036, -5039?\n\"Answer: a**2 - 1012*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 11, l: 5}. Give prob of sequence xb.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 229, -15, -2, 3 in descending order.\nAnswer: 229, 3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 16*l + 14. Let w be z(6). Find s, given that -400 + 2*s**2 - 233*s - 273*s + 186*s - 4*s**3 + 74*s**w = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257*l - 773*l + 369*l**2 + 257*l + 258*l + 2 + 0 to the form i + a*l**2 + o*l and give a.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539999160?\nAnswer: 2, 3, 5, 43, 104651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1552*f**2 + 621*f + 19. Let l(y) = 3101*y**2 + 1242*y + 33. Let v(p) = 4*l(p) - 7*z(p). Find the second derivative of v(q) wrt q.\nAnswer: 3080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 1)*(-13 - 7 + 3) - 2 + 2 + 2)*(0 + 4 - 3)*(-6*m**2 + 6*m**2 + 19*m**2) to the form y*m**2 + r + z*m and give y.\nAnswer: 1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*o - 37 = -8, 2*d + 2*o + 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655948 is divided by 2188.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15))\/(117\/130).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-37310)\/(-63) + (2\/(-9))\/1. Suppose 67*c + t = 71*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qce. Give prob of sequence ec.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 461. What is q(46)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v + 4 = 0. Suppose -3*c + 10 = v*l + c, l - 20 = c. Let t = -7 + l. Calculate the least common multiple of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 97. Suppose c = -z*c + 80. Solve -3*t - 3*d + 20 = t, -4*t - 5*d = -c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2. Let f(i) = i**2 + 21*i + 23. Calculate f(n(c)).\nAnswer: 16*c**4 + 84*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (923 - 923 + 88*q)*(-16 + 12 - 6) to m*q + r and give m.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1852430 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1878866, -1878862, -1878856, -1878848?\nAnswer: -1878838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y + 5. Let r(u) = -3*u + 3. Let b(i) = 2*k(i) - 5*r(i). What is the remainder when 30 is divided by b(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -15*m**3 + m**2 + m - 3. List the prime factors of l(-2).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 5}. Give prob of sequence ma.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84646, -169293, -253940?\nAnswer: -338587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(-1*sqrt(10)) + sqrt(19) + sqrt(209)\/sqrt(275).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/11)\/(p*p**33))\/((p**(2\/77)\/p)\/(p*(p*p*((p\/(p\/p**(3\/10)))\/p)\/p*p)\/p)))**(-6\/5) assuming p is positive.\nAnswer: p**(72447\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 6. Let f(k) = 28 - 58 - 7*k + 35. Determine 5*f(p) + 4*h(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -27.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x + 54*x = 16. Suppose 7*o + x = 11*o. Calculate the highest common factor of o and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.572 - 9203.428. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 159 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 13*q + 32. Let f be s(-13). Suppose 4*g + 32 = f. Solve 10 = 2*b - g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-56) + 1004\/14. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6488, -6355, -6208, -6041, -5848, -5623, -5360, -5053?\n\"Answer: j**3 + j**2 + 123*j - 6613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1727, 2096, 2465, 2834, 3203?\n\"Answer: 369*s + 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50308 less than or equal to 1458906\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p**3 + 4*p**2 + 6*p - 4. Let v be y(-2). What is the greatest common divisor of v and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -374, -654, -1004, -1430, -1938?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/4 - 2841*p\/4 + 7843 = 0.\nAnswer: -2852, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -238\/15? (a) 0 (b) 2 (c) 4\/9 (d) -1\/11 (e) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -46. Suppose -l*x = -s - 1, -s - 3 = 25*x - 28*x. Factor -1\/2*m**4 + 1\/2 + m - m**s + 0*m**2.\nAnswer: -(m - 1)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = z - 48017, 10*r - 5*z = -3*r + 155981. What are the prime factors of r?\nAnswer: 2, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.6 - 8. Let l = 3\/19 - -11\/171. What is the closest to -3 in 4, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*w + 11603 = -11974 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 646*u**3 - 19.\nAnswer: 646*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.105002 - -38.235. Let d = -1.77 + 1.9. Let t = l - d. Round t to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 40\/3*b**3 + 11\/4*b**4 - 1\/6*b**6 - 11 + 22*b**2 + 16*b - 2\/5*b**5. Suppose s(l) = 0. Calculate l.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 1.4. Let w be ((-2820)\/40)\/47 - (-2)\/(-4). Which is the closest to v? (a) -3 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 14*f + 17. Let u be r(13). Solve 0*p - 32 = -u*p - 4*s, -5*p + s = -10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 247460?\nAnswer: 247464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11))**20*((o*o**(-8))\/o)\/(o*o*o*o**(-3\/7)*o) assuming o is positive.\nAnswer: o**(-611\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*q**2 - 5*q**3 + 49*q**2 - 5*q**4)*(-3 - 1 + 3).\nAnswer: 5*q**4 + 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 2, s: 1, i: 2}. What is prob of picking 1 g and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 13*l**2 - 28*l + 10. Give t(12).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 + 21*b - 62. Let j be h(4). Which is greater: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/87 and -105\/294524.\nAnswer: 883572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 26 + 82 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -0*u - 900. Calculate the remainder when u is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, and 2 v when four letters picked without replacement from bbzvigrzzvgi?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjmmj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 + 31*g - 130. Let u be b(5). Solve u = 83*o - 91*o + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 20, -15, -5 in ascending order.\nAnswer: -15, -5, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -1\/2, 11, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 41*q**2 - 95*q - 185. Let y be m(-38). Is y bigger than -907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and 71\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -124 + (101 - (-37 + 107)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a hour in seconds?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4291595 divided by 390145?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 2*v + 4. Suppose 12 = -0*l + 6*l. Let a be t(l). Let r be ((-4)\/3)\/(0 - 8\/18). Solve r*d + 5 = -a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 544054 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7949862 and 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7169554.\nAnswer: 2, 7, 29, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 2:10 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6223?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -525*b**3 + 820085*b**2 - 709251035*b wrt b?\nAnswer: -3150*b + 1640170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94888, -94649, -94012, -92779, -90752?\n\"Answer: 33*t**3 + t**2 + 5*t - 94927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 45*s - 16. Determine h(-4).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*n*o + 5*n - 2*o**3 - 14038*o**2 - o + 2719393 wrt o?\nAnswer: 133*n - 6*o**2 - 28076*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 660 + -492. Calculate the smallest common multiple of b and 156.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2. Let w(r) be the second derivative of -r**4\/12 - r**2\/2 - 2*r. Give p(q) - w(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-21)\/10*(-5)\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + 2*s)*(-271 + 75*s + 271) as y + z*s**2 + d*s and give z.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/7 - (-1 - -8). Let w = j - -6. Solve 0 = 2*y + 3 - w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3136*v - 1552*v + v**3 + v**3 + 1 - 3 - 1559*v + 3*v**2 to the form d*v**3 + a + x*v + g*v**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 4. Let m be r(2). Let z = m - -16. Let v = 395 + z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2281*j. Let w(v) = -23*v**2 - 4*v. Let s(i) = -145*i**2 - 26*i. Let c(r) = -2*s(r) + 13*w(r). Give c(n(m)).\nAnswer: -46826649*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1782 and -71\/50787.\nAnswer: 101574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 148 = -0*a - 3*a, 0 = 4*a + 2*x - 200. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5181.\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 8942b8?\nAnswer: -8942b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-3) + (-16)\/1. Let c = m + 26. Let t(f) = -31*f + 2. What is the remainder when t(-1) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u - 2*u**3 - 11*u**3 - 18*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4891 and 4323 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95, -291, -925, -1807, -2937, -4315, -5941?\n\"Answer: -124*y**2 - 14*y + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/18 - 5*k**3\/9 + 2*k**2 + 7*k. Factor p(z).\nAnswer: 2*(z - 3)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1\/8, -0.0297?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:56 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 1. Let y be r(-5). Let z(o) be the third derivative of 14*o**2 + 0 - 1\/24*o**4 - 1\/10*o**5 + 1\/120*o**6 + 0*o - 1\/3*o**3. Give z(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/8 + (-30)\/(-40). Suppose 3*c + 314 - 17 = 4*j, i*j - 4*c - 228 = 0. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 6*n**2 + 19*n**2 - 4*n**2 - 7*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792547 is divided by 986.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:16 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 4, b: 2}. What is prob of sequence nn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 39*i + 1770 = -741. Solve i = -4*n + 101 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.00161 + -2.00161. Which is the closest to w? (a) 1\/6 (b) -5 (c) -0.5 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)\/(k*(k*k**(-8)*k)\/k)*k**(2\/15)\/k*k*k**(-9)*k)**(-29) assuming k is positive.\nAnswer: k**(7801\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w - 1. Let g be v(1). Let m be 9\/2*(-20)\/g. Suppose i + 1 = m. Solve 6 - i = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 2. Calculate v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 - -0.18. Which is the second smallest value? (a) -4\/9 (b) -3\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (720\/28)\/((56 - (-107700)\/(-1925))\/((-4)\/(-22)))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30848.59 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -73054896 divided by 3?\nAnswer: -24351632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 923562 to the power of 1\/2, to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 24*m + 5. Let r be i(5). Let n = r - -145. Solve 3*v = 5*q + 4, 3*v + q - n*q = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Suppose -4*w - 2*j + 16 = 2*j, m*w - 7 = 5*j. Let q = w - 4. Put q, -5, 4 in increasing order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -1400, -2149, -2914, -3695, -4492?\nAnswer: -5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*y - 26 = 0, -4*y = -5*k + 4*k + 13. Factor u**2 - u + 6 - 3*u**2 + k*u.\nAnswer: -2*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16489129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, 9, 17, 39, 81, 149, 249, 387?\n\"Answer: h**3 - 2*h**2 - h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vttntcttttnttfnttttt. What is prob of sequence tn?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 931 - 5936 = -13*w. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 74*a - 34*a - 39*a)*((-2 + 2 - a)*(-2*a + 2 - 2) - 5*a + 11*a**2 + 5*a + (a**2 - 5*a**2 + 2*a**2)*(-2 + 0 + 1)).\nAnswer: 15*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 5*w**3 - 5*w**3)*(2*w + 2 - 2) - w - 10463*w**4 + 4*w + 10528*w**4 - 2 + w**4 + 2 + (w**2 + 0*w**2 - 2*w**2)*(-w**2 + 0*w**2 + 3*w**2).\nAnswer: 60*w**4 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 4250 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 14*h + 49. Calculate f(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -142. Solve 5*q - q = u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3852470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/16 + 3*b**5\/20 + 9*b**4\/32 - b**3 + 3*b**2\/4 + 9. Solve h(o) = 0 for o.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)\/(1\/5). Let k(p) = -z + 3 + 2 - 2*p. Let w(j) be the first derivative of -38*j**3\/3 - j - 4546. Give w(k(q)).\nAnswer: -152*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.43 - -4691995413\nAnswer: 4691995416.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2230010 + -11?\nAnswer: 2223333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/((-36)\/(-210))*(-12)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 = -4*u, u - s = 6*u + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 2:24 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(2736))**2 + -3 + 1*sqrt(1216) + 4*sqrt(1216).\nAnswer: -32*sqrt(19) + 2746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 7*c + 7 - 25*c**2 + 26*c**2.\nAnswer: (c - 4)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 1. Let h(k) = 11 + 9 - 1 + 5. Let j(g) = -78*a(g) - 6*h(g). Differentiate j(m) with respect to m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r + 3*r**3 + (-4*r**2 + 6*r**2 + 0*r**2)*(-r - r + 4*r) + 3*r**3 - 2 + 2 - 96*r**3 - 215*r + 215*r + (-3*r**3 + 4*r**3 + 0*r**3)*(-3 + 4 + 0).\nAnswer: -85*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Suppose 0 = 2*d + 5*b - 18, o*d - 3*d = 4*b + 18. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2339078, -1, -20 in descending order.\nAnswer: -1, -20, -2339078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 269258 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -409*d + 405*d. Let k be (1\/(-2) + d)*20\/5. Put k, -19, -1 in increasing order.\nAnswer: -19, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -8, -382, -1\/4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966 - 991 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -245*q**4 + 7912170*q**3 - 63882295385*q**2 + 36502231140*q - 5214512180 = 0.\nAnswer: 2\/7, 16147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*b**4*h**3 - 2*b**3*h**2 + 8*b**3*h + 8*b**2*h**2 - 2*b*h**3 - 53*b*h + 8*b - 1 wrt b?\nAnswer: -408*b*h**3 - 12*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 4 = -81*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - 16*b**2 + 19*b - 54. What are the prime factors of u(11)?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000577753 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + 4 + sqrt(11) + 2) + sqrt(77)\/(sqrt(28)*-1).\nAnswer: -13*sqrt(11)\/2 - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1692, -2022, -2778, -4128, -6240, -9282, -13422, -18828?\n\"Answer: -28*k**3 - 45*k**2 + k - 1620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 1591.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 343565473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k - 905 - 924 = -423 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*g = -1234*g + 2356 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10435 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1328778 and 5292?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3274 is divided by 298?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1770568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 2*s + 4. Let c be q(2). Let w(y) = -y. Give w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 2*l - 16*l + 10*l + 26. What is the units digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i - 5874 = -59*i. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-72))\/((-1)\/2)*2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 86*v - 167. Give t(4).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17) - (sqrt(17) + 0)) + 2 + 4 + (1 + sqrt(17))*3.\nAnswer: 9 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1633, 2730, 5381, 10258, 18033, 29378, 44965?\nAnswer: 65466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 33*k**2 + 15*k - 34. Let x(q) = -99*q**2 - 47*q + 93. Determine 11*g(s) + 4*x(s).\nAnswer: -33*s**2 - 23*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 17*a**8\/12 - 71*a**5\/15 - 573*a**2. Find the third derivative of r(g) wrt g.\nAnswer: 28560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*y**2 - 933*y + 933*y.\nAnswer: -118*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-11)*(-2 - 2). Let i = 39 + g. Put 0.4, -1, i in ascending order.\nAnswer: -1, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 2*v - 6*v)*(-v - v + 3*v + 6) to o + y*v**2 + r*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 719 = -11281. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3559 by -49443.\nAnswer: -3559\/49443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g. Suppose v + 2*v - 18 = g. Solve 2*y + 10 = 4*j, -4*y + 2*j + 40 = v*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j - 132. Let r be i(-8). Solve -17 + r = -7*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -1)\/(-3) - -4. Suppose -i - 3*i + 34 = -p*d, -18 = 2*d + 2*i. What are the prime factors of (24\/(-10))\/(3\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = p - 1, 3*p + 6 = 2*m - 1. Let t be -1 - (-2)\/((-6)\/(-33)). Solve -5*d - 5*j = 20, -m*j = -0*j + t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-12))\/((-12915)\/(-36162))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 + 7*w**2 - 7 + 5. Let o = 4 + -2. Let f(a) = -a + o*a + a. Calculate f(k(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -94898000 rounded to the nearest 1000000?\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 872553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00988776 rounded to four decimal places?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*(3\/306)\/((-2)\/(-6))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(4500))**2 - (sqrt(5) + sqrt(135)\/sqrt(3) + sqrt(5))**2*-2).\nAnswer: -19008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l = -20*l - 25*l - 1694 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 86*g**2 - 2*g - 1. Suppose -70*a = -76*a + 324. Suppose 4*r = -3*c + 75, 2*r + 5*c = -a + 95. Calculate the remainder when s(-1) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 47 = -4*s. Let d = s - 25. Let q = d - 7. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cb662 - -232?\nAnswer: cb894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let k(b) = -b**2. Calculate t(k(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-37 + 37 - 80*l**2) to the form s*l + o + w*l**2 and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55336, -55235, -55134?\nAnswer: -55033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 8 + 19)*(-2*a**3 + 0*a + 0*a) as z*a + d*a**2 + f*a**3 + s and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g + 44*g = 64*g + 306260. What are the prime factors of g?\nAnswer: 2, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**3\/6 + 4*o**2 - 2*o. Let m be j(8). Put -3, 2, m in ascending order.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 297*t**2 - 265*t - 1463. Let c(s) = 35*s**2 - 33*s - 183. Let n(r) = -17*c(r) + 2*i(r). Calculate n(36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 32 + 32 - 8*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Let u(n) = n. Let y(b) = -b**3 - 7*b**2 + 6*b + 3. Let k(h) = 6*u(h) - y(h). Is k(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.893869607629 and -2.\nAnswer: -0.106130392371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6428.366 - 6428. What is the biggest value in 0.05, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose 2*u - 4 = 0, 25*o - 2*u = 24*o - 2. Suppose o*h + 11 = d + 8, 7 = -3*h + 4*d. Sort c, -3, h in ascending order.\nAnswer: -3, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8495*i**2 + 21*i + 35*i + 8491*i**2 to h*i + n*i**2 + b and give h.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -2 + 0*f - f**4 + 0*f**2 + 1\/3*f**3. What is the third derivative of n(k) wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*v + 9. Let x(h) = -12*h - 7. Calculate the remainder when x(v) is divided by (2\/(-2))\/(26\/(-416)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**7\/70 + 6*a**6\/25 - 3*a**5\/5 - a**4\/10 + 21*a**3\/10 - 3*a**2 - 4653*a. What is m in q(m) = 0?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 56*p - 9. Is y(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:08 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245779 + 389301. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -166250?\nAnswer: -166244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1779*w - 438*w - 473*w - 394*w - 454*w.\nAnswer: 20*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5, -3*j + 0*c = -c - 13. Suppose -j = 26*z - 30*z. Calculate the remainder when 5\/(z\/(10\/2)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*j + 4*m, 3*j + 5*m + 0*m = 44. Let r = 11 + -3. Let u = -5 + r. Solve -u*x = -v - j, 2*v + 19 = 5*x + 4*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 5) to base 13\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 5*h = -2*n + 24, -n = -3*h + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 601395.6 millennia?\nAnswer: 601395600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqq when three letters picked without replacement from {d: 1, i: 3, s: 2, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/651 or 1\/2?\nAnswer: -2\/651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1162 * 0.03.\nAnswer: 34.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -829, -8339, -30095, -73657, -146585?\n\"Answer: -1260*g**3 + 437*g**2 - g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -94. Suppose k*h - 5*z + 0 = 6, h = 2*z + 2. Which is greater: 9\/4 or h?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601583\/48 bigger than 12534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**4 + 1868*j**3 - 30704*j**2 + 100272*j - 92736 = 0.\nAnswer: -483, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5626154735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -906 (base 11) in base 3?\nAnswer: -1111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c7 (base 16) to base 7.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32\/320*(-15)\/(-3)*-4*(-1)\/52\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48311 + -337518\/7. Let m = l + -94. Let s be 8\/6 - 1\/3. Is s equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -1 (c) -0.4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 3436 = 3406 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-404)\/8*-8 + (-8 - -3)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3029151, -3029146, -3029141, -3029136, -3029131?\nAnswer: -3029126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-86)\/(-4)*-603. Let p = 13511 - y. Let h = p - 533. What is the common denominator of 103\/20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -24. Let s be (2\/2)\/(l\/16). Suppose -4*g = -s*c - 486, 0 = 2*c + 2. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 6 = -2*j, x = -125*j + 59*j + 82*j - 108 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -117401\/924 > -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 5:39 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18348859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0, -14 in descending order.\nAnswer: 4, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 9 - -9 - -7 - (-2 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 86363677471 and -0.2.\nAnswer: 86363677470.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -70, -52, -92, -2, 4 in decreasing order.\nAnswer: 4, 1, -2, -52, -70, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d - 170*d = -373*d + 2640 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 46*y**2 + 48*y + 103. What is d(-45)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/3 + 28*i**3\/3 - 22*i**2.\nAnswer: -2*i**2*(i - 11)*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 - -157. Which is the third biggest value? (a) -1\/14 (b) v (c) -1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.31113 millennia in decades?\nAnswer: 3231.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Suppose t*m - 42 + 14 = 0. What is the second derivative of 9*l - l**2 + m*l - 14*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -225\/32?\nAnswer: -225\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Let d(r) = 7*r**2 - 28*r + 3. What is the smallest common multiple of 0\/1 - (2 - 13) and d(c)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:52 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3773608595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033 * -18.13142.\nAnswer: 0.59833686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -12*d - 30. Suppose -q = 2*b - 206, -3*b + 2*q - 311 = -d*b. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-19))**(-22\/5))**(-42) assuming i is positive.\nAnswer: i**(-17556\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13646 (b) -1 (c) 4840\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1088)*-3)**2)*-3 + (sqrt(136) - (sqrt(136)*-1 - sqrt(136) - sqrt(136))*4)\/(sqrt(128)*-5).\nAnswer: -29376 - 13*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 2:55 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 28*v + 0*v**2 - 23*v + 5 - v**2. Let m be z(0). Let o(y) = -y**3 + 5*y**2 + 2*y - 3. Calculate o(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 + 41329553.\nAnswer: 41329609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2476 - -2479. Suppose 0 = 3*h - 2 + 11, -2*m - 3*h + 5 = 0. What is the third derivative of 24*g**f + 18*g**2 - m*g**3 - 10*g**2 wrt g?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and -32705213.\nAnswer: 981156390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*y**2 + 124*y + 1 - 256*y + 122*y.\nAnswer: -101*y**2 - 10*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 17700 + 100757 - 13279.\nAnswer: -n + 105178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzvrovs. Give prob of picking 1 o and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 23, 40, 63, 92, 127?\n\"Answer: 3*q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(468) + -3 - (-6*(sqrt(468) + 2) - 2*(sqrt(468) + 2 - sqrt(468) - sqrt(468))))*1)**2.\nAnswer: 900*sqrt(13) + 11925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/(-72) + -2 + 33\/(-28)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/2)*r\/(((r\/(r*r*r**0))\/r*r)\/r) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 294. Calculate the remainder when o is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7562\/9 - -840. What is the closest to 0 in l, 4\/3, -1, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 27*y**3 - 17 + 17.\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*d**4*w + 37014*d**4 - 48005*d**2 + 2*d*w wrt d.\nAnswer: -720*d*w + 888336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 118 in increasing order.\nAnswer: -1, 3, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14492 divided by 7246\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 13*n - 36 = 0, 19*n = 4*j - 20*n + 34*n - 12 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**3 - 41228*y**5 - 3*y - 2992 + y**4 + 2*y + 21154*y**5 + 20748*y**5 wrt y.\nAnswer: 13480*y**3 + 12*y**2 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, 0.5, 80\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -6*o + o**2 - 1\/20*o**5 + 0 + 1\/6*o**3 + 0*o**4. Let k be b(0). Solve 3*y = -2*z + 8, -4*y = -z - k*y - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*u - 63 = 0, -4*v + 178 = -5*u - 29. Calculate the remainder when v is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**5 - 7840126*w**3 + 70184159*w wrt w?\nAnswer: -80*w**3 - 47040756*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, w: 2, f: 1, k: 2, x: 3, g: 1}. Give prob of picking 1 e, 1 f, and 1 g.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24 - 1175?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1095.8916s to minutes.\nAnswer: 18.26486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9181, -15045, -24831, -38545, -56193, -77781, -103315, -132801?\n\"Answer: -v**3 - 1955*v**2 + 8*v - 7233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -0.5. Let w = u - -3.4. Let g = 0.2 - w. Which is the closest to -1? (a) g (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16318 + 3534 = -136*y. What is the remainder when y is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49560 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342717?\nAnswer: 3, 71, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102202033 - -2211?\nAnswer: 102204244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = -815. Suppose -h = -65 + 71, 5*p + 685 = 20*h. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -162128?\nAnswer: 1\/40532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*7\/10)\/(116\/580). Let v = 53 - 25. Calculate the highest common divisor of w and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*x**6 + 706*x**2 - 61*x**6 + 178*x**6 - 1964*x**2 wrt x.\nAnswer: 27480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(7) + 0 - sqrt(7)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -432.88070308\nAnswer: -430.88070308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 1510707959+1.16\nAnswer: 1510707960.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m + 44. Let x be a(3). Suppose -x*d = 6*d - 21998. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = a + 11, 3*u - 16 = -u - 4*a. Find the second derivative of -2*f**u - f**3 + 3*f + 4*f**3 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.3 + 0.3. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 5*v - 38 + 19, 0 = 3*v + 15 - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15932.47kg in micrograms?\nAnswer: 15932470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -321*s**3 + 3*s**2 + 22*s - 7678. Let p(n) = 317*n**3 - 3*n**2 - 34*n + 7677. Let b(o) = -2*p(o) - 3*t(o). Differentiate b(x) wrt x.\nAnswer: 987*x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 + -5.05. Let n(x) = 12*x**2 - 1. Let w be n(-1). Suppose -4*s - 13 = w. What is the second smallest value in 2, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7040543330?\nAnswer: 2, 5, 9029, 77977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8*-797.82.\nAnswer: 2233.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 16\/5 (b) -0.5 (c) 5 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, 41, -5, 4, -12 in increasing order.\nAnswer: -12, -5, 2, 4, 22, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 + 1000*m**3 - 83956*m**2 + 2420928*m - 4513968 = 0.\nAnswer: 2, 81, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 40 + 53)*(2 - 2 + 2*h).\nAnswer: 112*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 206 - 418 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 574 and 11365487?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - -125. Solve -3*c = 5*i + c - 12, -i - 2*c + n = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145\/((-3527415)\/(-10388)) - (-6)\/(-17)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88246.33ml in litres?\nAnswer: 88.24633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 90 = -4*z, 4*y + 402 = 8*y - 5*z. Suppose -l = -4*g - 3*l + y, 5*g = l + 126. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.778739 decades in months?\nAnswer: 453.44868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119028, 238064, 357108, 476166, 595244, 714348, 833484?\nAnswer: 952658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -20. Let q(d) = d**2 - 3*d - 3*d + 2*d - 4 + d. Let l be q(w). Which is smaller: l or 1.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 1\/9, 13, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -7*a - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by 41321.\nAnswer: 110\/41321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 992 and 26419936.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 1\/2, 5, 212?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 28 (b) -1\/508 (c) 0 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 + 20 = 2*q, -q + 14 = 4*o. Suppose -7*b = -5*b - q. Solve 4 = 2*z, -3*y + 4*z - 5 - b = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3468*p**2 - 5218 wrt p.\nAnswer: -6936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/30 and -7\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182390 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30815, -30825, -30835, -30845?\nAnswer: -30855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1500*o - 5261. List the prime factors of j(-47).\nAnswer: 65239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15145614 and 2574.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/22 and -145\/1452.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 28*o + 102. Let n be q(31). Solve -n = 5*v - 2*m, -5*v = -0*m + 5*m - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1272 + 1279. Suppose -4 = -0*v - 4*v. Let c = v - -62. What is the greatest common factor of c and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*c + 16880 = 42*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (100*g - 7 - 7 + 14)*(-4*g**2 + 0 + 0 + (-5 - 6 + 3)*(6*g**2 - 8*g + 8*g)) to j*g**2 + l*g + c + n*g**3 and give n.\nAnswer: -5200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 36\/(-10) + (-33)\/45. Let h = -0.03 + 0.43. Sort 1, z, h.\nAnswer: z, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6892672 or 6892668?\nAnswer: 6892672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1185.358204 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(243) - (1 + sqrt(243))*3)**2*6 + 1*(sqrt(1200) + 1 - ((sqrt(12) + sqrt(48)\/sqrt(4))*-5)**2).\nAnswer: 668*sqrt(3) + 4686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*q - 4. Let p = 91 - 91. Suppose p = -4*v + 2*v + 30. What is the greatest common factor of v and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**3 - b**3 + 3*b**3 + (3*b**2 + 1 - 1)*(1695*b - 784*b - 1340*b) as u*b**2 + l + k*b + c*b**3 and give c.\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 141, 568, 1275, 2256, 3505, 5016, 6783?\n\"Answer: -y**3 + 146*y**2 - 4*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*o + 103*o + 48978258 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, 0.4, 0.894, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + k + 162 + 68 - 10 to the form s*k + g and give g.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1357 at least as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 61. Let l be 2\/3*(6 + -9). Put 0, l, o in decreasing order.\nAnswer: o, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -274, 0.5, -1\/10, 3\/5, -0.214?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b - -5?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:39 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4833123 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1480, -5899, -13264, -23575, -36832, -53035?\n\"Answer: -1473*p**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfyyfyyxx. What is prob of picking 1 f and 1 y?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 336, 427, 608, 909, 1360, 1991?\nAnswer: 2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 16940*v**2 - 6. Let f(s) = 5*s**2. Give h(f(l)).\nAnswer: 423500*l**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 476, 48, -672, -1690, -3012, -4644, -6592?\nAnswer: -8862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208 + 214. Find the common denominator of (a - 612\/8)*(-5)\/195 and 105\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.11 - 0.11. Suppose 2*p - 77703 = -77711. Which is the smallest value? (a) 0.3 (b) p (c) i (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*b*w**3 - b*w - 5630*b + 34*w**3 wrt w.\nAnswer: 102*b*w**2 - b + 102*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20768518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/27*(0 - 0 - 0). Put 114, l, 5 in descending order.\nAnswer: 114, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*f + 671279 = -924451. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631443 is divided by 286.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 23492?\nAnswer: 281904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 161311098*k**2 - 63430054 wrt k?\nAnswer: 322622196*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/77 and -7\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**3 - 336*h - 19. Let v(f) = -7*f**3 + 332*f + 16. Determine -4*k(j) - 5*v(j).\nAnswer: -j**3 - 316*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from {j: 4, c: 5, u: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -185\/5340006 and -103\/302484?\nAnswer: 138840156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35c4 + 10ac6?\nAnswer: a502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 5819?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z + 34*z = 60*z. Let c = -16 + 26. Suppose c*f - 5*f - 75 = z. What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 0) - (-22 + 26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 10*g**2 - 2*g + 23. Calculate i(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2379 = -0*i - 154*i - 4705. Sort 3, -1, 4, -5, i in descending order.\nAnswer: 4, 3, -1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 14 = 3*n, x - 4*n = -3*x + 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g**4 + 7*g**4 - 4*g**4)*(786 + 469 + 2 + 891 - 214) in the form j*g**3 + v*g**2 + k*g + u + m*g**4 and give m.\nAnswer: 19340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -0.9. Let f = -20 + 56\/3. Put a, f, -3 in increasing order.\nAnswer: -3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 13*p**4 - p + 10*p**4 + 6*p**4)*(42*p + 229*p - 117*p).\nAnswer: 462*p**5 + 308*p**3 - 154*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1029)*1)\/sqrt(252))**2.\nAnswer: 1225\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*z - 39 = -65*z + 21. Let d(u) be the first derivative of -u**4\/4 - 2*u**3 - u**2 - u + 5. Determine d(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 5*m. Let h be f(5). Let u(v) = v**2 - 4*v + 1. Let x be u(4). Let k be 1*(x - (h + -1)). Solve -w = k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 8*p**2 - 2*p + 10. Let a be u(4). Sort 0, 3, a, 5.\nAnswer: 0, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 77 + 112 = 0. Let k = b + -15. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/1596)\/(1\/6)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:06 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -17, -21, -21, -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600036 (base 10) in base 8?\nAnswer: 34773644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*t + 16, 4*t + 16 = 9*t + 4*v. Suppose -3*m = 5*r - 1358, 4*r - 3*m - 1108 = -t*m. What are the prime factors of r?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 712 - 143 - 184 - 165 - 14*g.\nAnswer: -14*g + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 1, s: 2, e: 1, y: 2, m: 9}. Give prob of sequence eym.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Let p(x) = -1. Let c(y) = 2*y + 6. Let q(a) = c(a) + 6*p(a). Determine q(w(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -25, -1, -4, 5, -4253 in descending order.\nAnswer: 5, -1, -2, -4, -25, -4253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(200) + 0 + (sqrt(200)*-1*-1)**2 + (-6*sqrt(200)*-1*5)**2)*5.\nAnswer: -901000 - 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 220 = 5*m, 0 = -2*m + m - q + 40. Suppose -j + m = 2*j. Let 15*r - 2*r**2 + r**3 - j*r = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -1225, -2754, -4885, -7612, -10929, -14830?\nAnswer: -19309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43340 is divided by 1494.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4644 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k**3 + 36*k**2 - 45. Let y(d) = -d**3 - d**2. Let b(p) = u(p) + 36*y(p). Find the first derivative of b(j) wrt j.\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 35*n**2 - 25. Let i(l) = -3*l**2 + 2. Let f(g) = -25*i(g) - 2*t(g). Let k(w) = -4*w + 5*w + 2*w - 2*w. Determine f(k(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9870 divided by -3.\nAnswer: -3290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*h**2 + 34*h**2 + 13*h**2)*(-3 + 0 + 1) + 4*h**2 - 3*h**2 + h**2 + h**2 + 0*h + 0*h + (2*h + 0*h - h)*(-h + 2*h - 3*h) + 0*h**2 + 0*h**2 - 2*h**2.\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -1\/2, 3\/5, 0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2)\/2 + 7. Let g = -34 + 33.6. Which is the closest to k? (a) g (b) 4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let o(n) = n**3 + 8*n**2 + 2*n - 2. Let r be o(-8). Let x = r - -25. Let c = 1 - x. What is f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(20) + (1*sqrt(500) - sqrt(20)) + sqrt(20)))\/((2*2*sqrt(48))\/sqrt(12)) + 3 + 4)*-2.\nAnswer: -14 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13656 greater than 13654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 5*d**2 + d + 6. Let h be f(4). Let t(z) = z**3 + 7*z**2 + z - 7. Give t(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-680)\/90))\/(37\/1110*10\/(-4)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 994548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29638 divided by -356.\nAnswer: 14819\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 29*g + 22. Let l be o(9). Suppose -4*q = -2*u + 428, 0 = u + l*q - 9*q - 211. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 16*i**2 - 3*i + 7. Let h(r) = 5*r**2 - r + 2. What is 7*h(y) - 2*u(y)?\nAnswer: 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*s = 189*s - 99. Let z = -16 - -20. What is the remainder when s is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 65. Suppose -2*j - 3*t = -16 - 25, 5*t = 25. What is the greatest common factor of n and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 3*q**2 + 3*q + 32. Let k be (-16)\/28 - (208\/28 + 0). List the prime factors of r(k).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 165*p**2 - 2 - 190*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174747 or 174703?\nAnswer: 174703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away -17950043977?\nAnswer: 17950043962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 58\/3*(-3 - 0). Let v = 198 + r. Suppose -3*g - g = -v. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009359937 rounded to six dps?\nAnswer: 0.00936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y**2 - 369*y - 2230. What is u(-6)?\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 93712*h - 139310606.\nAnswer: -2*(h + 1537)*(h + 45319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3341356 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (54 - -47) + -16 + -24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 2*z - 2*z)*(14*z**3 + 227 - 112 - 106).\nAnswer: 14*z**5 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -19*f**2. Let c(g) be the third derivative of 0*g + 6*g**2 + 0 - 1\/12*g**4 + 0*g**3. What is c(w(x))?\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 87.0505 years?\nAnswer: 0.0870505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/509? (a) 6 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404255291.\nAnswer: 11, 17, 23, 193, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 12:01 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/5)*q)\/(q*q**(-4)))**44\/((((q*q**(-1\/3))\/q)\/q*q**(-1\/4))\/(q**(-6\/11)\/(q*q\/(q\/q**(-2\/3)*q)*q*q))) assuming q is positive.\nAnswer: q**(32847\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 5*s + 6, 0*n + 3*n + 3 = -3*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 r, and 1 e when four letters picked without replacement from {z: 1, e: 1, b: 2, n: 2, r: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154308646 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/312*8*90\/(-130).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*g = -3*g - 129, -3*g - 255 = 2*y. Let u be (-920)\/(-9) - (-28)\/y. Suppose -b + 2*b - 20 = -4*z, -3*b = -2*z - u. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -22*f**2 - 14*f + 7. Let l(b) = -9*b**2 - 7*b + 3. Let p(t) = 7*l(t) - 3*m(t). Let z(j) = j**2 + 2. Determine p(z(k)).\nAnswer: 3*k**4 + 5*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 14*l - 13. Suppose 4*o = -0*o - 4*r + 96, 5*r = 4*o - 60. Calculate the least common multiple of w(11) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c + 22*c**4 - 43*c**4 + c wrt c?\nAnswer: -252*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:26 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + -19. Calculate the lowest common multiple of 3 and (-4)\/(-10) + (-344)\/t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1993 + -3.8007. Which is the closest to 2? (a) h (b) 0.06 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 290\/30 + (-2)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 14*n**2 - 20*n + 11. Does 8 divide a(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7462, 11358, 8164, -5666, -33678, -79418, -146432?\nAnswer: -238266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128831596?\nAnswer: 2, 32207899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 + 16859*j**3 - 7*j**2 - 16877*j**3 + 6*j**5 wrt j.\nAnswer: 240*j**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -446 + 443. Which is the closest to -1\/3? (a) -0.09 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) -0.18 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 144?\nAnswer: -5\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59009 - -13921184.\nAnswer: 13980193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - w - 2. Let j(a) = 9*a - 16. Let q be j(2). Determine f(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211369.3 minutes in weeks?\nAnswer: 219.381875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (8 - (-4 + 5)) - -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4\/6 + 32*n**3 - 382*n**2\/3 - 56*n = 0. Calculate n.\nAnswer: -42, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51752747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 249077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96.9 - 100.815. Let g = 0.085 - w. Let f = 0.8 + 1.2. What is the closest to 0.7 in g, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534279945 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 10858 and -20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Solve 2 = 2*w - t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147.9 - 18.9. Let d = -145.6 + r. What is d rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(833))**2 + sqrt(17) + -4 + sqrt(102)\/(-4*sqrt(6)) + 3.\nAnswer: 227*sqrt(17)\/4 + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8124946, 8124938, 8124934, 8124934, 8124938, 8124946?\nAnswer: 8124958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/55*(-30)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 21 - (1 + 15)) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3\/9 + 58*c**2\/9 + 3980*c\/9 - 107536\/9 = 0.\nAnswer: -44, 26, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjtjtttnntjnj. What is prob of sequence tjj?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i - i + (1 + 2*i - 1)*(-2 + 5 - 2) + 3 - 3 + 2*i - 180*i + 1517*i - 21*i.\nAnswer: 1319*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 20194450*h - 20390790540125.\nAnswer: -5*(h - 2019445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 39. What is the second biggest value in 2\/9, 1, -12, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -946000 rounded to the nearest 10000?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 307771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/63*196\/84. Which is the nearest to 1? (a) 1\/413 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.25383 kilometers in meters?\nAnswer: 15253.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5600)*2)\/((sqrt(240)\/sqrt(5) + sqrt(48))\/sqrt(6)).\nAnswer: -3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36584302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*f + 42 = 0, f + 40 = i - 3*f. Suppose 0*a = 2*a + 2*z - 16, -5*a - 3*z = -i. Find the common denominator of 11\/6 and 69\/(-33)*a\/(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.073 - -0.463. Let a = l - 0.59. Put -5, 0.1, a in increasing order.\nAnswer: -5, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 5. Let j be f(-2). Let o be (-5 - -4) + -3 + j. Let n = 19 + o. What is the lowest common multiple of 12 and n?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3432, 21898, 72018, 169620, 330532, 570582, 905598, 1351408?\nAnswer: 1923840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31 and 10.9?\nAnswer: 3.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggyggfggfiygg. Give prob of picking 2 y.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*d - 5. Let a = -150 + 262. What is the greatest common divisor of d and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.8 less than 0.6?\nAnswer: -44.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*c**2 + 186*c**2 + 1449*c - 20*c**2.\nAnswer: 222*c**2 + 1449*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34525.\nAnswer: 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/3)\/r)**(3\/20)*r*r\/(r**(1\/19)\/r)*r**(1\/8) assuming r is positive.\nAnswer: r**(2297\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 9 = -5*x, -5*w + 13 = 43 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from ffof?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/5209 + -5191\/15627. Which is the closest to 1? (a) 3 (b) n (c) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+-0.546\nAnswer: 5.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74315 + 13.35795.\nAnswer: -74301.64205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-1 - -4) - 0. Suppose s*a - 15 = -a, 0 = 3*z + 3*a - 24. Suppose 0 = z*v - 0*v - 108. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 - 0.06.\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 - (1 - 3) - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -3 + 3)\/(-2). Suppose -3*t + 4*t - 28 = o. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/n)**(-2)\/((n\/n**(2\/13))\/n**(-6)) assuming n is positive.\nAnswer: n**(-245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 12 = -3*x, 24*s - 26*s - 2*x = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15*u = -1606. Suppose 5*l = 2*i - 43, 4*i + 4*l - 2*l = u. What is the remainder when 270 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 - 56380*n**3 + 564780*n**2 + 5417280*n = 0.\nAnswer: -11286, -6, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzqzzzzzzzq. What is prob of sequence zz?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 33. Let k = -0.3 - -0.1. Let p = -1.5 + 2. Which is the nearest to -1? (a) l (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1620*o**3 - 2*o + 2. What is n(-1)?\nAnswer: -1616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5*r - 41474*r**2 - 14*r**3 + 4*r**4 + 6*r + 41467*r**2 - 2*r**4 as p*r**4 + m*r + s*r**2 + o + f*r**3 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -35*q**3 + 27*q + 3. Let m(b) = -12*b**3 + 9*b + 1. What is -8*m(k) + 3*v(k)?\nAnswer: -9*k**3 + 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*45\/(-10)*2\/(-3). Suppose 2*t - m*g + 1 - 3 = 0, 0 = t + g + 9. Sort 2, t, 0, -1 in decreasing order.\nAnswer: 2, 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Suppose 0 = -3*g - 4*r + 25, -2*g + 2*r - r + h = 0. Suppose l + 0*l = 0. Solve -s + 4*t - 17 = l, 4*s - g*t - 16 = -8*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d*m*s + 10*d*m - 11*d*s + 5*d - m*s - 2 wrt m.\nAnswer: 9*d*s + 10*d - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 47*w + 41*w - 89*w. Let k(r) = r**2 - r**2 + 2*r**2. Calculate b(k(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*t**2 - 658 + 333 + 325 + 9*t**2 + 179*t**4 wrt t?\nAnswer: 4296*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 9. Let t be k(7). Factor -a**3 - 3*a**t - 2 + 4*a**2 + a**4 - 2*a**3 + 3*a.\nAnswer: (a - 2)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*a + 8 - 34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**4 - 73305*z**3 - 2194795*z**2 - 2121495*z = 0?\nAnswer: -14631, -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1456, -2405, -3312, -4177?\n\"Answer: 21*w**2 - 1012*w - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2267 - 6087. What is d rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 540, 4, -2, 25, 1, 9 in increasing order.\nAnswer: -2, 1, 4, 5, 9, 25, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:56 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - 5*u**3 + u**3 + (-3 + 3 - 2*u**3)*(44 - 15 - 17) + u**2 + 3*u**3 - u**2.\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324901328.\nAnswer: 2, 31, 655043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8203 less than or equal to -73838\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.3, -1, 6.9, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2952 and 35389642?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let g be l + -1 + -1 + 1. Suppose g = -3*x + 2*x + 10. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 5*(2 + (sqrt(180) + -1 - sqrt(180))) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1231*t + 8 + 1231*t - 12 + 7*t**3.\nAnswer: 7*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(68)*-1)**2*-3 - (sqrt(51) - (sqrt(51) - (sqrt(459) - 2*sqrt(459))))\/(1*sqrt(75) + sqrt(75))).\nAnswer: 3*sqrt(17)\/10 + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.046\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 568\/116239 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 o when four letters picked without replacement from vrovvvovrrrvrvvrv.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17288 - 842 + 18130 + 5*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 4667079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, 4\/9 in descending order.\nAnswer: 14, 1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 48 = -20*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frjffjfjjj. What is prob of sequence jjr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7 = 5*c, -8*y = -6*y - 2*c - 4. Suppose 4*z + 3*f = 5*f + 654, y*f = -4*z + 679. What are the prime factors of z?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-39)\/(-21) - 87\/(-29)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - ((-3 - -12 - (-25 - -33)) + -19).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j + 0 - 29\/60*j**5 + 0*j**3 - 25*j**2 + 7\/120*j**6 + 0*j**4. Find the third derivative of g(m) wrt m.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o - 9. Let d be s(-3). Let f be (d\/3150)\/((-6)\/(-522879)). Let j = f - 747. Is j bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - q - 2. Let w(h) = -4*h**2 + h + 2. Determine 3*s(g) + 4*w(g).\nAnswer: -7*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 462.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 966494, 966469, 966444?\nAnswer: 966419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 19*l + 15 = -20*l, 2*j + 3 = -3*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let d = 0 - g. Let x = d - -0.5. Sort x, 2, -3.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2490, -2, 5, -382 in descending order.\nAnswer: 2490, 5, -2, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128960084 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -603 - -886. Suppose -g + 1 = -1, 0 = -3*o - 5*g + l. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 18050 = -4*m, 0 = 28*j + 2*m - 179498 - 73202. What is the highest common divisor of 75 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f + 84. Let i be x(-9). Suppose 48 = 4*o + 56. Put 1, 5, i, o in ascending order.\nAnswer: o, 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11128 or 11127?\nAnswer: 11128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -2, -0.1, 1, -0.2, 27, -7\/366?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0)**(-4\/3)*(i*(i\/(i**6*i))\/i*i*i)\/i*i*i*i**5 assuming i is positive.\nAnswer: i**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 + -0.2. Let a = 2.598 - -1.402. What is the closest to b in -0.4, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = 7*c - 2*c + 3*f, 3*c + 5*f + 219 = 0. Let p = -69 - c. Solve 5*j - p = 4*x + 12, 5*x = 3*j - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2121 + -5?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011100111111011 - -10110110?\nAnswer: 11010011101010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*l - 1773 = 0, -2*t + 66 = 4*l - 1120. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.38? (a) -1\/8 (b) 9679 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7967 and 1241147?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 <= -14\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 6*k**2 + k - 1. Determine y(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/5*b**2 + 2\/5 - 3\/5*b**3 + b**4 + 3\/5*b = 0. Calculate b.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101024942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*l**3 - l**2 + 0*l**3 + 2*l**3 + (2*l**2 - 2*l**2 - 3*l**2)*(2*l - 14*l - 2*l) in the form u*l**3 + i + p*l + v*l**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277\/1309 + -38\/187. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3192487?\nAnswer: 3192487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8706732?\nAnswer: 2, 3, 337, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10810, 10754, 10660, 10528, 10358?\n\"Answer: -19*s**2 + s + 10828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = 0. Suppose 2*o = -4*o + 12. Suppose -2*a + 5*a + 3 = 3*b, o*b + 1 = 5*a. Solve 3*p - f - 11 = x, -4*f = b*p - 3*p + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 429.3 - 2.3. Let x = m + -426.8924. Round x to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 862 divide 1795110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48831 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 2*a - 5. Let r be b(5). Let t = r + 40. Let y be (5 - 3)*(-10)\/(-4). What is the greatest common divisor of y and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**2 + 11*t + 80. Let f be x(-6). What are the prime factors of (f - -1) + -2 + (8 - 3)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.091 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25821933?\nAnswer: 3, 281, 30631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645261 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.31 (c) 0 (d) 66593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zttxdwztttzzwdddbw. Give prob of picking 1 b, 1 x, and 2 w.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -30*m + 175. What is s(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -128*l - 2. Let v(f) = f**2 - 6*f - 68. Let c be v(12). Let r(z) = -8*z + c*z + z + 4*z. Calculate u(r(w)).\nAnswer: -128*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -805, -1992, -3207, -4444, -5697, -6960, -8227?\n\"Answer: g**3 - 20*g**2 - 1134*g + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(117) + sqrt(117) + sqrt(117) + 0 + 5 + -4)*4)**2 + (sqrt(117) + 0 + -5)**2*5 + -2.\nAnswer: 138*sqrt(13) + 17571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10493406 by -17402.\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from {m: 8, l: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4397*d. Let w be q(1). Let z = w - 44021\/10. Let j = -32011\/16 + 2000. Find the common denominator of z and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -27.0000114. What is r rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/3 - 2*n**2 + 44*n\/3 + 16 = 0.\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*y = -452*y - 576 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 6 - 14 + 156*v to q + k*v and give k.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2927200632 from 1.831.\nAnswer: -2927200630.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6003200710 to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180547069, -180547067, -180547065, -180547063, -180547061, -180547059?\nAnswer: -180547057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 3. Suppose 0 = 5*u + 4*v + 23, 0*u - 2*u = -5*v - 4. Let c be n(u). Suppose 5 = c*i - 16. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**4 - 25*t**3 - 25*t**2 + 225*t - 180 = 0.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*d*v**3 + d*v + 1865417*d + 142642952*v**3 wrt d?\nAnswer: -17*v**3 + v + 1865417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-209)\/(-66)*(51 + (-6811)\/147)\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/16)\/(-1) - (-166)\/8. Let q = 56 - m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1923, -1\/6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Suppose -j*f - 3 = -9. Solve 5*s**f - 2*s + 4 - 2*s**3 + 3*s**3 + 10*s = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z = 16*z + 10668. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 + 66088566*k - 132177144 = 0. Calculate k.\nAnswer: -22029524, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f**4 - 6*f**3\/11 + 52*f**2 + 6*f\/11 = 0. What is f?\nAnswer: -1, -3\/286, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 188706424*o**3*s**2 + 41353119*o**3 wrt s?\nAnswer: 377412848*o**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164710784?\nAnswer: 2, 7, 183829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 103. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.01, -1, -3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 2*h + 2*h. Let n be (-1 + 2)\/(3*(-5)\/(-915)). Let y = n - h. Calculate the highest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 0. Let f(i) = -i**2 + 7*i - 1. Let t be f(0). Let z be (1 - t)*15\/(-15). What is the second smallest value in -13\/4, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 42849.\nAnswer: -5570.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2940)\/(-700)*(2 - (-3)\/1). Solve 3*m = 3*i - 9 + q, -3*m - 5*i = -4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w\/w**(1\/21)*w)**(-3\/25)*w*w*w*w**(7\/6)*w**25)**33 assuming w is positive.\nAnswer: w**(330011\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 17, 28, 23, -10, -83, -208?\n\"Answer: -2*b**3 + 10*b**2 - b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 25, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -49*m**2 + 2*m. Let l(a) = a. Let u = -115 + 117. Let f(w) = u*l(w) - s(w). Let p(v) = v. Give p(f(i)).\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 199180, -37, 1, 2 in decreasing order.\nAnswer: 199180, 2, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-3\/5)*f)\/((f*(f**14*f)\/f*f)\/f*f))**(-24) assuming f is positive.\nAnswer: f**(1488\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 478077 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 4*u, 7*q - 6*q - 5*u + 18 = 0. Determine n so that -1\/3*n**q + 0*n + 1\/3*n**4 + 0*n**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -348 and 1?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2*y**2 + 5)*(3*y + 3*y - 3*y) + 465*y**3 - 234*y**3 - 229*y**3 + 3.\nAnswer: 8*y**3 - 6*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 - 56*a. Let t(i) = 52*i. Calculate q(t(g)).\nAnswer: 52*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17039187 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: Find the common denominator of -51\/214 and -71\/962.\nAnswer: 102934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*f - 104 = 6*f, -3*f = 3*i - 96. Calculate the remainder when i is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6967 is divided by 3478?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*d**2\/7 - 46*d\/7 - 12\/7.\nAnswer: -2*(d + 1)*(17*d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6, n: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Let i be ((-3)\/(-15))\/((-1)\/3). Let c be ((-105)\/(-14) - 9)\/(15\/24 + -1). What is the nearest to -0.2 in k, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**4 + 4*w**2 - 6*w. Let o(j) = 25*j**4 + 7*j**2 - 11*j. Let c(d) = 11*l(d) - 6*o(d). What is the third derivative of c(s) wrt s?\nAnswer: -168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/285 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 + 42 + 22)*(3 - m - 3 + (0*m + 2*m - 4*m)*(-1 + 4 - 1) + 3*m + 2*m - 3*m) as o*m + v and give o.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 527 or 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + d)*(2 + 9 + 4)*((-3 + 1 + 5)*(1 - d - 1) - 4*d - d - d).\nAnswer: -135*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 241 = n, -2*n + 0*n = -3*x - 510. Suppose h + n = -4*w, -5*h = 2*w - 7*w - 330. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 26. Let w be n(-6). Let i(z) = -5*z**3 + 6*z**w - 9*z**2 - 13*z + 6*z**3 + 5*z**2 + 7*z**2 + 5. Give i(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257237 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:05 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 2*s - 0*s, 3*x = 0. Let w = 3 - s. Suppose 3*m - 2*n - 1 = 0, 2*m = -2*m + 3*n + w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 12 + 12)*(7 - 4 - 2 + (-3 - 2 + 2)*(4 - 4 - 2) + (3 - 5 - 4)*(-2 + 3 + 0)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 11*m**2 + m + 2. Let k be o(0). Let a(t) be the third derivative of t**5\/60 + t**4\/24 + t**2 + 55*t. Determine a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 5*m + 21. Determine g(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31753\/73 + 435. Let y = d + 124\/803. Let z = -704 - -704. Which is the biggest value? (a) 2 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - 6*y + 0*y)*(4 + 16 - 3)*(-31 - 33 + 60 + 12*y) in the form x*y**2 + t + s*y and give x.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1372\/845 - 4\/169. Factor -2\/5*h**2 - 8\/5 - c*h.\nAnswer: -2*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**(-17)*(c**0*c)**6)**(-49) assuming c is positive.\nAnswer: c**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed - -2?\nAnswer: -eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 60\/1129?\nAnswer: 60\/1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676879?\nAnswer: 7, 96697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*q + 51 = 120*q + 11*z, -3*q - 4*z = -14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.5 times 0.1233?\nAnswer: -3.63735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose 4*y = -h*l + 15, -3*y + 0*l + 2*l + 24 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 112 = -3*i - v, 5*v = 10. Let m(x) = 7*x - 1. Calculate the least common multiple of i and m(3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 1704*s + 6828.\nAnswer: -3*(s - 2276)*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.31 - 1.91. Put 5, -6\/35, s in descending order.\nAnswer: 5, s, -6\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750694567 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 47 = 83. Solve 6 + b*z - 85*z**2 - 3*z**3 + 85*z**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5465691078 - 2*s**3 + 0*s - 5465691078 + 0*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6\/5 (b) 4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - 2*o**4 - 2*o**4 - o**4 + 4*o**4 - 4*o**4 + (0 - 1 - 1)*(-o**4 + 2 - 2) + 4*o**4 - 6*o**4 + 3*o**4)*(2 - 2 - 2*o).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 2*s**3 - 10 + 3*s**2 + 12 + 0*s - 2*s**4 in the form j*s + p + k*s**2 + y*s**3 + x*s**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*m**3 - 39*m**3 + 15*m**3 - 14*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/((-2)\/(-6)))\/(-1). Let d(f) = 0*f + 0*f - 5*f + 35. Let z(x) = 2*x - 12. Let h(q) = -4*d(q) - 11*z(q). Let c(l) = l + 3. Give y*h(i) + 8*c(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let h(n) = -3*n**2 - 5*n + 1 + m*n**2 - 3 + 0*n**2. Suppose 3 - 4 = -v, v + 14 = -5*q. What is h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*s + 570*s - 6888 = -140*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = -12*b + 16*b, -5*r = 25. Is b - (-90)\/10 - -9857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/69)\/((-1)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 5097107?\nAnswer: -5097106.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Let s(n) = 7 + 2*n**3 + 3 + 9*n**2 + 2*n**3 - r*n - 3*n**3. Is s(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -92. Let x be 1 - ((-6)\/(-30) - 22\/10). Suppose -4*k = 4*b - 132, x*k + k - 2*b - 162 = 0. Calculate the greatest common factor of l and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8140\/180 - (27 - (-16629)\/(-621))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -13*d - 337. Suppose d*g + 2132 = -h + 5515, -h - 2252 = -2*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by -77?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274729 + -274725. Let n(q) = -q + 5. Let v be n(5). Solve v = 6*x + h - 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180412 + 8*q + 180412.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 10*m + 13. Determine i(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*l + 156*l - 290 = 312*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 28 = -5*i, 3*x + 5*i - 6 - 41 = 0. Let r = 32 - x. Let u(k) = 2*k - 26. Let a be u(r). Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 66, 134, 220, 318, 422, 526, 624?\n\"Answer: -y**3 + 18*y**2 - 3*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2394831069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/18330900 and -95\/1218?\nAnswer: 18330900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 36 + 138. Suppose 0 = -4*f + l + z, f = -2*f + 2*l + 46. Suppose 65 = 3*r + f. What is the highest common factor of r and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/27569 or 0?\nAnswer: 3\/27569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 127. List the prime factors of k.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w - 125*w - 732*w - 934*w.\nAnswer: -1847*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 94*g**5\/5 + 3*g**3 - g**2\/2 + 6. What is the third derivative of k(r) wrt r?\nAnswer: 2256*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1664 - 1661. Let s be 14\/(-1 + 4\/3). Suppose -5*f + 4*r = 8*r - 48, h*f = 2*r + s. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*j + 498, g = -29*j + 32*j - 755. What is the greatest common divisor of j and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1755 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10803*u**6 - 7*u**2 + 2*u - 146 wrt u.\nAnswer: 1296360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.52 + -4.8. Let r = -4 + a. What is r rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0473*-35.\nAnswer: 1.6555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6379, -24907, -55789, -99025, -154615?\nAnswer: -222559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1488*j - 1520*j - 1485*j - 72 + 4490*j.\nAnswer: -3*j - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r + 5. Let p(o) = -7*o - 4. Let b(h) = h**2 + 9*h - 6. Let j be b(-10). Let g(s) = j*n(s) + 5*p(s). Let z(d) = -2*d. Determine g(z(q)).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 12*h + 5. Let w(m) = m**2 + 3. What is b(i) - w(i)?\nAnswer: -3*i**2 - 12*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 l when four letters picked without replacement from {e: 4, l: 10}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.80743 millimeters to micrometers.\nAnswer: 28807.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnuunnunuuuu. What is prob of sequence uu?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 89842*i**3 - i**2 + 16*i - 168. Let f be j(8). What is f rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125534*f**2*i - 2*f*i + f + 2*i - 15404 wrt f?\nAnswer: -251068*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 18. Give c(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214410683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*v - 123 = -2*j, 104 = -4*j - 4*v. Let g(q) = q**3 + 27*q**2 - 2*q + 19. Is g(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*g + 299*g = 552*g - 2726 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v**2 + 40*v**2 - 10*v**2)*(3*v**2 + 2*v**2 - 4*v**2) + v**4 + v**4 - 4*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 4*l**2 + 0*l**2 - 2*l**2)*(-376934 + 79*l + 376934).\nAnswer: 158*l**3 + 158*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36397 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 27 = 3*x. Suppose l = x - 4. Solve l*c = -g - 4*g + 15, 4*c - 13 = -3*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/6 and 6\/((-504)\/242) + 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5669*v + 5694*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 12. What is the remainder when 95 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 69*k**2 + 33*k + 73. Let v be b(35). Solve 4*d - 2*i + 2 = 0, -v*d - 3*i - 14 - 10 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.955 - 33. Let q = s - 0.029. What is q rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-572)\/(-77) + (-4)\/(-7). Let v be 76\/3 + u\/(-6). Calculate the greatest common divisor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2aa7a + -4?\nAnswer: -2aa83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = 4*h, 0 = -5*m + 6*h - 8*h - 28. Sort m, 3, 1 in decreasing order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60\/19 or 3?\nAnswer: 60\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.5 and 310211880.\nAnswer: 310211870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12084*n**3 - 50*n + 21*n + 22*n + 7*n + 12104*n**3.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4 + 20 = -3*f, 25 = 5*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003707942 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/12 - -1\/6. Suppose 6 = 6*f - 3*f. Let 1\/4*l**3 - 1\/4 - 1\/4*l + w*l**f = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 99. Let c be 4\/(-6) - 28\/s. What is the third smallest value in 3, -2\/13, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12441*b**2 + 5*b - 5*b - 12444*b**2 + 24873*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 577, 614, 637, 640, 617?\n\"Answer: -z**3 - z**2 + 47*z + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/(-714))\/((1\/4)\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 5*l + 15 = -5, 0 = v + l - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 3*b - 22, -4*s + 5*b = 17 - 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4340718 - 4340718 + 5*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 3*q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101.4 + 93.54. Round u to one dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*y - 2, 3683*d - 3 = -3*y + 3682*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apaapp. Give prob of sequence ppaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1609212 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let s(g) = -2517*g**2. Calculate z(s(a)).\nAnswer: 12670578*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 21*b - 37. Let j be m(19). What is the lowest common multiple of 62 and ((-22)\/(-55))\/(j\/10)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17\/(-15))\/((-1)\/(-3)). Which is greater: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**4 - z**4 - z**4)*(-3 + 1 + 1)*(-4 - 1 + 4) to s*z**2 + u*z**4 + b + j*z + q*z**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0489582834 rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**3 - 3*w**2 + 7*w + 3. Let i(g) = -7*g**3 - 5*g**2 + 7*g + 2. Let j(d) = 5*i(d) - 6*l(d). Let n be j(8). Solve 0 = -q - n - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124099 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*k*u**3 - 16*k*u**2 + 7*k*u + 9764*k - 96*u**4 - u - 2 wrt u?\nAnswer: -138*k*u - 32*k - 1152*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:55 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -6. Let u = 0 - v. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2165\/8 + 555\/2. What is the common denominator of m and (-54)\/28 - (-5 - 12\/(-4))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962180336 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: Suppose f - 5*f = 12. What is the fourth smallest value in -0.4, -2, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 933 + 1119 = 5*q. What is the highest common divisor of 23 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001974333 to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 + 398781*h**3 - 398802*h**2 - 2392704*h = 0?\nAnswer: -132928, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -1836886 = -1836887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/261 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*j**3*m**4 + 2*j**3*m - j**3 - 7589*j*m**4 + 7*j*m + 1047*m wrt m.\nAnswer: -264*j**3*m**2 - 91068*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -136*k + 141*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fojogjgjjjjijgffgf. Give prob of sequence fff.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -113?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {r: 10, q: 2, o: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 8*k**2 + 12*k - 3. Let a be r(-5). Solve 0 = -10*y + 48 + a for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4034396 + -36?\nAnswer: -4034432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 2*i - 4. Let c(x) = -x**2 - x - 1. Determine -4*c(a) + u(a).\nAnswer: a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 0*c - 2*c - 8 = 0, 4*c + 1 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l*l**(-4\/3))\/l)\/l**(1\/13) assuming l is positive.\nAnswer: l**(62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -17*c**7\/210 + c**6\/20 - 4*c**4\/3 - 5*c**3 + 5395*c**2. Find the second derivative of q(n) wrt n.\nAnswer: -204*n**2 + 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 44 = 196. Let w = 50 - s. Determine i, given that 0*i**3 - 4*i + 4*i**4 + 4*i**3 - 2 - 4*i**w + 2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -66. What is the remainder when 71 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63 - 45) + -16 - (1 + -17)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/4921615?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1803 - 1277. What is the remainder when t is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-79)\/(137144\/558)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17\/(-3))\/(1022\/(-876))*-7. Let s be ((-62)\/6)\/(1\/3). Is r > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.4 + 13. Which is the second biggest value? (a) -0.05 (b) j (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/180 - 13*a**5\/270 + 5*a**4\/18 - 818*a**2. What is n in c(n) = 0?\nAnswer: -6, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258392.\nAnswer: 2, 32299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21684652 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 15. Let a be h(-9). Let x be ((-6)\/5)\/((-4)\/10). Let w be x\/a*(-182 - -2). What is w rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2088 and -95\/36.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1\/6 (c) -9\/23 (d) -3059 (e) -0.3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*((-4*q - 4*q + 6*q)*(-1 + 0 - 1) - 9*q - 1 + 1) to the form x*q + p and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 665\/(-380) + 44411\/356\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/462 and -62\/891.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6 = y, -50*y + 48 = -3*q - 59*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -o + k, 7*o = 3*o + 3*k + 423. Suppose 5*b - 2*r = 1458, 4*b - 429 = 3*r + 736. Let x = b + -276. Calculate the remainder when o is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -713 + 56?\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -110011010101010111101?\nAnswer: 110011010101010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 7 = -3*g, 6 = 4*g - 14*c + 12*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1523327, -3046646, -4569965?\nAnswer: -6093284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1)*-5*12\/(-2850)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*v - 3*v + 2*h, -v + 12 = 3*h. Suppose 3 = -v*s + 6. Calculate the highest common divisor of 4 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.51 + -3.85. Let m = t + -1.46. Put 0.3, 5, -1, m in descending order.\nAnswer: 5, 0.3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x, 2*w + 0*w - 2*x = 0. What are the prime factors of 34 - w*5\/(-10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -34*m + 1. Suppose 17*h = 46*h + 406. Let f be 80\/70 + ((-2)\/h)\/(-1). Calculate i(f).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403898900 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -28478*(-4)\/8 + 4. Suppose -4*p = -1803 + y. Round p to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 11*m**2 - 2*m**2 - 1 - m. Let g be l(1). Does 14 divide (-3 + 38\/g)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 838614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2723 + 2726. Calculate the highest common factor of 618 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2907*o - 2916*o + 1.\nAnswer: -9*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 235*c**2 - 2*c.\nAnswer: -235*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5598734753 plus 0.0046?\nAnswer: 5598734753.0046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, and 1 n when three letters picked without replacement from dzjna.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1427*v + 1094. Let q(n) = 37*n**2. Give s(q(d)).\nAnswer: 52799*d**2 + 1094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - y - 2 = 15, 2*y = 0. Suppose -m - c*m = -93726. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g - 234. Let y(k) = 5*k - 104. Let c(o) = 4*n(o) - 9*y(o). Let u(v) = -66*v. Calculate c(u(f)).\nAnswer: -198*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11710, -46817, -105330, -187249, -292574, -421305, -573442?\nAnswer: -748985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -t - 2443 - 2141, 5*t = 10. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u**2. Let p(d) be the third derivative of d**5\/12 + 80*d**2. Give j(p(l)).\nAnswer: 300*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11342 (base 10) to base 11.\nAnswer: -8581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001782223 rounded to 5 decimal places?\nAnswer: -0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i - 1198*i**2 - 6*i - 69*i + 35*i.\nAnswer: -1198*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + p + 111, -203 + 76 = -5*u - 3*p. Suppose 0 = 18*l - u*l + 115. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**3\/3 + 2*f. Let h = 170 + -173. Let c(u) = 10. Let o(p) = -p - 6. Let d(l) = h*c(l) - 5*o(l). Calculate d(k(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -b + 205754, -384 = 5*b - 379. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 0.2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 9.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -85\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**4\/12 - 534*y. Let u(o) = 2*o + 23. What is l(u(g))?\nAnswer: -4*g**2 - 92*g - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5400)\/(-405)*(-19 - -15 - (1 + (-74)\/15))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8765968 by 7354.\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*p + 11 = -17, -2*p + 11 = -3*o. What is the common denominator of 65\/6 and 154\/22 + (-1 - o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*d**4 + 31*d**3 + 143*d**2 wrt d.\nAnswer: 360*d + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76285 rounded to two dps?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - (-27)\/(-6) - (-404)\/936 and -36\/11.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26121 (base 8) in base 3?\nAnswer: 120120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -0.3 (b) 15\/37 (c) -0.1 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -47*m**6\/3 - m**3\/3 - m - 28. Find the third derivative of w(g) wrt g.\nAnswer: -5640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.57 rounded to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 13200 = -5*f, -f + 6*f = 4*n - 26370. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-4)\/(-12))\/(5\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (11 - (13 + -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21420 (base 7) to base 6.\nAnswer: -40443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 2 + (-1 - 1 - 2)*(-4 + 5 - 3))*(-11*j + 3 - 12*j - 5*j + j) as a + p*j and give p.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719905192 minus -47?\nAnswer: 719905239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 127762852 - 0?\nAnswer: 127762852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*n - 48*n - 4 - 102*n - 16*n to z*n + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 54*a - 29. What is the smallest common multiple of m(1) and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-2 - 2) + 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - t)*(-11 - 6 + 5)*(0*t + 5*t + 2*t) to c*t**2 + h*t + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242810?\nAnswer: 2, 5, 24281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-34)*(5\/(-5))\/(1085\/124).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let k be 34*1\/((-6)\/(-3)). Solve 0 = 5*x + d*t + k, 0*x - 3*x = t + 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*j + 36. Let i = j - -21. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + a + a = -4, a = 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*x + 303 = -623, 3*x + 1374 = 3*d. Suppose 4*i - 8*i + 5*k + 1841 = 0, d = i - k. Is i a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2. Let g = -8 - -2. Which is the closest to l? (a) -2 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.27463 (b) 4\/3 (c) -19 (d) -4 (e) 2 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 12*t - 8. Let w be v(13). Suppose -5*u = 5*f - 55, 43 + 2 = 4*f + w*u. Calculate the least common multiple of 6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 0*v + 14*v**2 - 10*v + 12 - 4*v + 4*v**3 - 3*v**3. Let w be i(-15). Let n(b) = 4*b**2 - 5*b - 10. List the prime factors of n(w).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71.99 - -71. Let t = s + 1. Round t to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l + 12. Let o = -1 + 0.5. Which is the third biggest value? (a) o (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.4 (b) 3 (c) 0.5 (d) -890 (e) -11\/4 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-408)\/85)\/12*950\/760.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -93, -220, -409, -666, -997?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 2. Suppose -l - 5*h = -0 - 5, 72 = -4*l + 3*h. Let q be -2*(l\/(-6) + -1). What is the tens digit of m(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4*n - 12, 11*k - 12 = -628*n + 618*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9152, -18305, -27458, -36611?\nAnswer: -45764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -417\/7 < -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/36 and 37\/652.\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (4\/2 - -2). Let c = -4 + u. Suppose -c*y = 2 - 14. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-812 + 812 - 10*t)*(6 - 6 + 4 + (0 - 1 + 3)*(0 - 1 + 3) - 1 - 3 + 0) in the form a*t + y and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -322125 + 0?\nAnswer: -322125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 143237 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let p(f) = 0*f + 2*f + 4*f. Give z(p(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - g)*(2*g + 4*g - 4*g)*(-10 + 3*g + 11 - g).\nAnswer: 12*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607 = 11*p + 585 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*l - 3*k - 9, -5*l = 4*k + 10. Let x = l - -7. What is the tens digit of (3 + -3 + x)*29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 1:24 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1994 (base 11) to base 15.\nAnswer: b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:19 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9429.497055 rounded to the nearest integer?\nAnswer: 9429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17 + 19)\/((-2)\/4*-2). Let z(c) be the first derivative of 1\/12*c**4 - 1 + 0*c - 1\/9*c**3 - 1\/6*c**j + 1\/15*c**5. Let z(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 2\/5 (c) -22\/5 (d) -1 (e) -17\/5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-15))\/(-2))\/(-1*42\/819).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 4*g - 5. Let m be k(-4). Let q = 887 - 866. Suppose 5*r - 10 = 3*f - q, -3*r + f = 9. Which is the nearest to -3? (a) 5 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*q + 1312 - 1312)*(-8 - 19 + 9)*(2 + 1 - 1) to the form o*q + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p = 3*p + 78. Let c = -2.5 + 2. Suppose -4*q = -q. What is the closest to 2 in q, p, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197550 divided by -1317.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -92, -135, -176, -215, -252?\n\"Answer: m**2 - 48*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 4*i + 5*i**2 + (-2*i + 2*i - 2*i)*(0*i + 3*i - i) + (-18 + 45*i + 18)*(-3*i - 7*i + 4*i).\nAnswer: -269*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010241 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**3 + 26*c**2 + 4*c + 4. What is l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104850 and 11650?\nAnswer: 104850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 194817 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.52 + -0.22. Let m(j) = j**2 - 7*j - 6. Let b be m(6). What is the third smallest value in b, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 9:25 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2353, 4711, 7069, 9427?\n\"Answer: 2358*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3283, -13982, -31869, -56944, -89207?\n\"Answer: -3594*v**2 + 83*v + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-4)\/(-12) + 3. Suppose 0 = 7*w - h*w. Let 0 + w*r - 1\/3*r**2 = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1166 times 15.9151\nAnswer: -1.85570066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 7. Suppose -4*k + 2*n = 3*n + h, -15 = 2*k + 3*n. What are the prime factors of ((-4)\/((-4)\/k))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11710617 to the nearest integer?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 8:05 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1506)*(-3)\/18*(-15)\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 18 = -9*j. Let x(m) = 11*m**2 - m - 4. Let z be x(j). Suppose z*v - 284 = 40*v. Calculate the remainder when v is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1406101.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:55 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from ccccepecrrrccccc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -1701 in ascending order.\nAnswer: -1701, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22066769*s**2*v - 91*s**2 + 1507*s + 30 wrt v.\nAnswer: 22066769*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/10*809\/(-1618).\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*t - 39996150 + 79992295 - 39996149.\nAnswer: -170*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -37*i + 74. What is the units digit of c(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 3*h - 7*h + 3*b, -b - 49 = -4*h. Let l(p) = -2*p + 4*p + p + h*p**3 - 10*p**3 - 4*p**2 - 6. What is the remainder when 21 is divided by l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from qdnbvid?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 - 14*y - 35. Let p = 119 - 123. Let g(f) = -5*f**2 + 13*f + 35. Let q(j) = p*i(j) - 5*g(j). Is q(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128688 and 364.\nAnswer: 1672944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 + 23*n**2 - 79*n + 622. What is o(7)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - (0 - (5 - 2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073090142 rounded to the nearest ten thousand?\nAnswer: 1073090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 5*u**2 + 2*u + 3. Let z(y) = y**2 + 5*y - 1. Let i be z(-6). Suppose -30 - 18 = -2*n. What is the remainder when n is divided by g(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10517, -10519, -10521?\n\"Answer: -2*u - 10515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k + 2*m, 4*k = 6*k + 5*m + 13. Suppose 2*x + k = x. Let u(f) = 3*f**2 + 10*f - 8. Is 8 a factor of u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-4)\/(64\/10))\/((-3)\/18))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45472 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 0.2, -2\/19, -4\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.1, -3.66.\nAnswer: -3.66, -0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79723595 is divided by 3153.\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6948 and -49\/9320.\nAnswer: 16188840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(128) + 5 - sqrt(128)) + 5)*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*s**2 + 0 + 1\/7*s.\nAnswer: s*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*a + 3888, -3*z = -2*a - 0*a - 1551. Is 11 a factor of a\/(-35) - (-2)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56622 (base 11) to base 4.\nAnswer: 110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -4881d7?\nAnswer: 4881d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 3. Let a = -33 - 30. Let l = 56 + a. What is o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12094*x**2 + 60400*x + 4. Calculate g(5).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8006 - 7312. Calculate the remainder when m is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -32)*(-4)\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3623139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2\/4 + 1617*z\/2 - 4878 = 0. What is z?\nAnswer: -1084, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3 and 5\/93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7506158*v**2. Let h(m) = -20*m. Calculate r(h(d)).\nAnswer: -3002463200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -25 + 20 + -1 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by -48?\nAnswer: -55\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/7 - 5568\/1008) + 8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.81 * -81.7\nAnswer: 66.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 333 = -147. Suppose n*x + 21 = 81*x. Solve 5*y = -h + x, 0*h - 5*h = -y + 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 2*p - 170 + 144, 8*a = 3*p + 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58316921, -116633848, -174950775?\n\"Answer: -58316927*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1706938686 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 - c. Let g(n) = 1. Suppose 2*i - 4*l - 6 = -0, -2*l - 2 = -2*i. Let m(u) = i*j(u) - 3*g(u). What is m(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745664 divided by 16?\nAnswer: 46604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-4)*(4340\/196)\/(-31)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857 is divided by (-56 + (-5 - -7))\/(7\/(28\/(-8)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/12 - (-371)\/(-159).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Suppose -2*h = -3*d - 9, -2*d - 16 + 5 = -a*h. What is the second derivative of -b**3 - 2*b**3 + 6*b**h + b wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**26\/(u**1\/u**3))\/((((u*u**1)\/u)\/u)\/u**1*(u\/(u*u**0*u))**2) assuming u is positive.\nAnswer: u**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128917 - 128917.5. Let r = -2 + 7. What is the nearest to 2\/3 in -33, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 2 f when four letters picked without replacement from {z: 1, f: 5, i: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -249.\nAnswer: 103\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.8, -5, 1\/3, 4 in increasing order.\nAnswer: -5, 1\/3, 4, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -489935\/39 - -12562. Which is bigger: 1\/11 or t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 10:55 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(3\/36). Let i = -2 - o. Is ((-4)\/3)\/i*-267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(672) - sqrt(672))\/(sqrt(486) + (sqrt(486) - (sqrt(486) - sqrt(486)*5)) + sqrt(6)).\nAnswer: -4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*x**3 - 13*x - 165 with respect to x.\nAnswer: -21*x**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -917 - -45217. Round j to the nearest 100.\nAnswer: 44300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -359, -358, -357?\n\"Answer: i - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -64, -3, 3, -9 in ascending order.\nAnswer: -64, -9, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.98, 145, 2\/9, -0.34 in decreasing order.\nAnswer: 145, 2\/9, -0.34, -19.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073326617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1695117100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0, 6779, -46 in decreasing order.\nAnswer: 6779, 3, 0, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1840415.\nAnswer: 5, 368083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-12)\/9 - -1). Suppose w + 0*w = -47. Let z = w + 47. Solve -2*v + p*v + 1 = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -1669, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.2 in 0.003, -3\/7, 1514?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*t, -27*t + 30*t + 28 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**5 - 4*f**5 - f**5)*(-556 + 622 - 443).\nAnswer: 1508*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/((t\/(t**(-2\/3)*t))\/t))*t)**(-4\/9)*(t\/(t\/(t**(-2)*t)))**(-46) assuming t is positive.\nAnswer: t**(1246\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 120*z**2 - 21. Let a(w) = 151*w + 2. Give a(o(t)).\nAnswer: 18120*t**2 - 3169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*a + 9 + 11 = 0, 0 = 3*k - a - 26. Suppose -25*f = -16*f - 477. Calculate the remainder when f is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 6:35 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -21*n + 15. Suppose 4*g - 41 = -0*l - 5*l, -5*l - 13 = -2*g. What are the prime factors of g\/(-5)*(-25)\/n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 18722.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -28699*l**3 - 23481*l**2 + 7827*l + 7827. Let b(t) = 3*t**3 + 3*t**2 - t - 1. Calculate 7827*b(g) + r(g).\nAnswer: -5218*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131.6 + 73.9. Round r to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 872\/(-144) + 1\/(-2) and 0 + (-68)\/(-184)*-6.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g + g)*(11*g + 3 - 3).\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 4*n - 1. Let b be v(-3). Find the third derivative of 24*d**3 - 15*d**2 + 20*d**2 + 24*d**3 + 35*d**b wrt d.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 704842516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1111110010101111?\nAnswer: 1111110010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23\/3 - 3\/(-9). Let r be 50\/b + (-2)\/8. Let y = r - 29\/5. What is the third biggest value in 0.1, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t - 1. Let k = 195 + -168. Suppose 28*m - k = 1. Let y(l) = l - 1. What is m*z(x) - 6*y(x)?\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 - 3*k**2)*(0*k + 2 - 1 - 3*k).\nAnswer: 18*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8260 + 8296. Let q(d) be the first derivative of -6*d**2 + 1\/3*d**3 + 39 + v*d. Factor q(t).\nAnswer: (t - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*f**2*s**3 - f**2*s**2 - 4*f**2*s + f*s**3 + 5*s wrt s.\nAnswer: 150*f**2*s - 2*f**2 + 6*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*(-1822)\/(-4))\/(15\/20). What is the tens digit of k\/(-2) - (11 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 5 + 10 + 34 + 5*q**3 to b*q**2 + h + c*q + n*q**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxxdxwddxxw. Give prob of picking 2 d and 2 w.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19744434 divided by 382.\nAnswer: -51687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/5))\/o**6)\/(o**1*o*o**7) assuming o is positive.\nAnswer: o**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -1\/2*y**2 + 18 - 3*y. What is l(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/14 and 87\/44444.\nAnswer: 311108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*c + r - 3, c - 6 = r. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/21)\/((-6)\/(-21)). Let q be (45003 - c\/(-3)) + -4. Round q to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 3. Let f(x) = -4*x + 48. Let i(w) = -f(w) - 6*g(w). Calculate i(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4162.6586 to 0 decimal places.\nAnswer: 4163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 36061518 + 4*j - 36061518.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -3 + 2)*-1. Let x = 8 - h. Solve q - 20 = -x*y + 3*q, -y = 5*q - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 10:00 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*c + 6615, 0 = 5*q - 50*c + 55*c - 11025. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p - 1. Suppose -23*w + 420 = -233*w. Let v(c) = 8*c**2 + c - 2. Give w*d(x) + v(x).\nAnswer: 6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let y(n) be the third derivative of -n**4\/12 - 17*n**3\/2 + 13*n**2. Give h(y(q)).\nAnswer: 4*q**2 + 204*q + 2601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:48 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(1377)*-3.\nAnswer: -270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1220950 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -14. Let y = -42.9 - -43. Which is the closest to o? (a) y (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:06 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = -h. Let l(p) be the first derivative of 5*p**2\/2 - 3*p - 2. What is the units digit of l(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 706?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(0*y + y + y) + (0 + 0 - 2)*(4 - 4 + 4*y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 7005 = -3346. Factor 6*t**3 - 3*t**4 - c + 470 + 471 - 3*t**2.\nAnswer: -3*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*m + 0 - 1\/5*m**2 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 1068 + 1071 - 2*p**3 + 2*p**3 - 18*p**2 + p**4 to h*p**3 + r + l*p + f*p**2 + i*p**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4. Suppose 0*v + d*v = 16. Solve -5*k = 5*z - 5, 5*z - 29 = v*k + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6086395*g + 6086394*g - 3*g**3 - 3 + 32*g**2 - 1 as s*g**2 + j*g + m + q*g**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -3171\nAnswer: 19026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-15))**11\/((b\/b**10)\/((b\/(b*b\/b**(-20)))\/b)) assuming b is positive.\nAnswer: b**163","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + ((-1*sqrt(42) - sqrt(42))*-4 - sqrt(84)\/(-1*sqrt(2)))\/(sqrt(12)\/(sqrt(2)*1) - 1*sqrt(6)*-6)).\nAnswer: 18*sqrt(7)\/7 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20841317 is divided by 1191.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-4))\/((-16)\/64). Solve 0 = 5*n - c - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000003139963 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1150718*s**4 + 9087192.\nAnswer: 4602872*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -127333, -18, 5.\nAnswer: -127333, -18, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y + 95. Let m be n(12). Let b(d) = d**2 + 8*d + 8. Let t be b(-6). Sort m, t, -2 in descending order.\nAnswer: m, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1334 and 46.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 346 (c) 0 (d) 5 (e) 6\/11 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1212, 1293, 1428, 1617, 1860?\n\"Answer: 27*h**2 + 1185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 + 6*p**4 + 6*p**2 + 8*p - 8*p**3 + 26 - 34 - p**4 = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (0 + sqrt(3) + 2 - (1*sqrt(3))**2*-4)) - ((sqrt(15)\/sqrt(80) - (-1 + sqrt(48)))**2 + ((5*sqrt(108)*-2)**2 - sqrt(108))).\nAnswer: -172819\/16 + 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + -1 + sqrt(700) + 3 - -2*sqrt(700)*4)**2.\nAnswer: 440*sqrt(7) + 84704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 17*r**2 - 24*r - 2. Let b be n(7). Let c = -31 - -70. What is the highest common divisor of c and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1206*k - 1024 + 1024.\nAnswer: 1206*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ahaekjqhjaaka?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2707455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17.3895 decades?\nAnswer: 173.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 38 = 2*w. Let n = w - 11. Suppose -n*r = -2*g - 17, 4*g - 6 = 2*r - 0*g. Which is the third smallest value? (a) -0.4 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 101724*b - 185. Let o(c) = -16954*c + 30. Determine -6*g(t) - 37*o(t).\nAnswer: 16954*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 minus 0.102760066?\nAnswer: 1.297239934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -429*q - 58. Let v be d(-5). Suppose -s = -6*y + 7*y - 518, -4*y - s + v = 0. List the prime factors of y.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g\/(g*g**(-2\/9)*g)*g**11*g**(-3) assuming g is positive.\nAnswer: g**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v = 3*u + 52*v + 14, 19 = -3*u - v for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o - 1382 = -102 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {x: 1, z: 1, u: 1, c: 1, m: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36.15 - 61.7. Let m = k + 49.89. Let g = -25 + m. Round g to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + -24. Let l = h - -55. Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 109*d + 120 - 12*d + 80*d.\nAnswer: 177*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 5*r**2 + r**2)*(-631*r - 515*r + 965*r).\nAnswer: -1086*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -907 + 903 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-26)*(-3 - -5). Let g = 1 - 0.5. Let y = g - 0. What is the biggest value in -2, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -233?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:51 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/30 - (-9 + (-615)\/(-18)). Is o equal to -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-210))\/(12\/21)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.05333256\nAnswer: -0.15999768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 - 18*g - 18. Let u(r) = r + 1 - r - 4*r + 5*r. Let f be 55 + (1 + -3 - -1). Let v = f - 72. Calculate v*u(q) - o(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose 2*q + 5*c + 182 = 5*q, u*q - 3*c = 123. Suppose 10 + 26 = 2*w. Calculate the remainder when q is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let m(w) be the first derivative of 2*w**3\/3 + 3*w**2\/2 - 4*w + 5. Let p be m(l). Solve -5 = -p*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:15 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5686 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18627?\nAnswer: 3, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 1581.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (63 - 2) - (295 + -316)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 8*j - 75 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/24 and 95\/95604.\nAnswer: 191208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3f (base 16) to base 10\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -u - u + n, 3*u + 5*n = 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/5, -42969\/7, 0.5, 2.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - ((-2 - -3) + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-6)\/(-45))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8.07. Let a = d - -0.070012. Round a to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 204*l**2 - 206*l**2 - 396*l**2.\nAnswer: -398*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 6*p**2 - 12*p + 8 = 0. What is p?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 13*s = -4*x + 2*s - 212, 0 = 5*x - 5*s + 90 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*p - 5*p + 30, -p - v = -34. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10624 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 507 and -3153?\nAnswer: -1598571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.74 - -0.96. Let l = 13 - -0.5. Let x = l + -14. Which is the biggest value? (a) r (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 8*k**2 + 472*k - 1105. Let n be f(-27). Solve -22\/5*c + 0 - 1\/5*c**n = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 157 = 5*l, -l = 3*l + s - 127. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(1058\/19044)*136\/18?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 8*d + 11. Let q be l(-6). Let p(r) = -r**2 + 2*r + 1. Give p(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let v be y(-3). Let h be 5\/v + 1*-2. Let u = 10698 + -10697.7. Which is the nearest to 0.1? (a) u (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5510814?\nAnswer: 2, 3, 918469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1250, -5315, -12716, -23969, -39590, -60095, -86000?\n\"Answer: -86*s**3 - 1152*s**2 - 7*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 26*r**2 - 10*r - 1. Let z be b(9). Let q be 4\/(-10) + 676\/z. Let s(a) = -7*a + 84. Let i be s(12). Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/60 - 179*r**2. Let k(l) = -26*l**2. Give j(k(d)).\nAnswer: -676*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i - 1. Let a(t) = 12*t**2 - 2*t - 9. Let k(f) = a(f) - 3*h(f). Let y be k(5). Let z = y - 85. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -0.5 (c) 0.08 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 919, 4067, 7227, 10405, 13607?\n\"Answer: b**3 + 3141*b - 2223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33, 1, 181651, -0.1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62\/14 + 15\/(-35). Suppose -5*d + d + 4*o = -s, 15 = -3*o. Which is the biggest value? (a) 6 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2 + 16*z**3 - 5*z**2 - z + 13*z**3 - 30*z**3. Let n be l(-5). Put 6, -2, n in descending order.\nAnswer: 6, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*c + 45*c + 195. Let k be ((-13)\/c)\/(2*(-1)\/(-24)). Is 24909\/9 + k\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.009 - -0.009. Let y = -7 - v. What is the biggest value in 1\/5, 0, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c + 7*c - 5*c)*((12 - 8*c - 12 + (-1 + 2 + 1)*(c - 4 + 4))*(c - 2 + 2) + 2*c**2 + c**2 - 4*c**2) to the form h*c + x + s*c**2 + y*c**3 and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 154 = -2*f, 214 = 5*p + f - 47. Let h be (65\/p)\/(1\/4). Solve -4*a - h*s = -3, 4*a + 3*s = -s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -353543 + 495534. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-48)\/(-126)) - -5. Which is the closest to -0.1? (a) -2\/9 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 297614563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19430 + -1165799\/60. Let w(c) be the third derivative of 0*c + 0 + 0*c**3 + 7\/30*c**5 - r*c**6 + 0*c**4 - 11*c**2. Factor w(b).\nAnswer: -2*b**2*(b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 7. Suppose -4*i + b = 34, -i + 55 = -w*i - 5*b. Let z be i\/12 - (-108)\/16. Which is bigger: 5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3832.171 minutes?\nAnswer: 229930260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.042271 - -0.04459. What is n rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -29*c + 16 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 2*x**2 - x + 12. Calculate the least common multiple of 11 and p(0).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-4)\/(-1))\/80)\/((-9)\/(-16)))\/((-164256)\/68440).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1264482.51 - 1241346. Let h = 23143.310134 - k. Let m = h + -6.8. Round m to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-2*sqrt(64)))\/(sqrt(486)*-1*5 - sqrt(486)).\nAnswer: sqrt(7)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 1 = 4*j + 7, -2*l = -j - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.23695ml in litres?\nAnswer: 0.04623695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/20 + q**4\/12 + q**3\/6 - 6*q. Let i(v) = -6*v**3 - 4*v**2 - 4*v. Give 4*a(x) + i(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*j - 519456 = -221*j. List the prime factors of j.\nAnswer: 2, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176.537 - 0.1.\nAnswer: 176.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**2 + 1. What is the remainder when 63 is divided by i(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/57? (a) -7\/2 (b) 2\/5 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/416*-1 - ((-2150)\/559)\/(-50)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-186)\/(-1240))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 494 and 59926?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722, -1448, -2182, -2924, -3674?\nAnswer: -4432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58625558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-3\/14))**(-11)*((d*d\/(d*d**(-2\/17)))\/d**9)**(-2\/9) assuming d is positive.\nAnswer: d**(-1297\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36562614.\nAnswer: 2, 3, 11, 17, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*u - 7 + 242. Solve 0 = -0*m - 3*m - u*q + 20, 3*q = 2*m - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13733 - 8924. What are the prime factors of a?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5194\/15 - 1738\/5. Let o be 2 - 1*18\/8. What is the second smallest value in m, -0.6, o?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 2. Let i be 2 + (2 - (1 - 3)). Suppose -i = -2*t - t. Let r(q) = 4*q - 7. Let z(l) = t*r(l) - 7*j(l). Let u(c) = -3*c. Calculate z(u(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918603913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose 0 = 4*s - 2*b - 2, s - 3*b = g - 4. Let k(d) = 3*d**3 + 2*d**2 - 3*d - 4. Let n(j) = j**3 + j**2 - j - 1. What is s*k(q) - 4*n(q)?\nAnswer: -q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 4) in base 7?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p + 103. Let j be s(-10). Suppose x - 3*x + 2*k + 830 = 0, 3 = -j*k. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 19. Suppose 0 = 2*f + o - 35, -2*o - 13 - 52 = -c*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/9 + 21856*w**2\/9 - 8838570*w + 10714436028 = 0.\nAnswer: 3537, 3854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25051 (base 9) to base 7\nAnswer: -100006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*g - 150*g - 15. Suppose 3*w = 5*n + 22, -2*n - 25 = -0*w - g*w. Solve -7*o + 2 = -w*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02608672 rounded to 5 decimal places?\nAnswer: -0.02609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1804791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*l + 48, 3*h - 3*l = 2*h + 16. Let k be (-26)\/143 + 114\/h. Let z(o) = -o + 7. Let n be z(k). Solve i = 4*v, 2 = -i - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/19)\/a*a*a*a*a*a*a**(23\/5)*a*(a*a**(-7\/8)*a)**(28\/5) assuming a is positive.\nAnswer: a**(3011\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 992*u - 141109. Give p(-172).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -560*x**2 + x. Let y be g(1). Let o = 794 + y. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.962 - -10.743. Round a to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/918*(20\/25)\/(21\/15).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15355, 15360, 15379, 15418, 15483, 15580?\nAnswer: 15715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174047 is divided by 17403.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0, -3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7483 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*g**2*j**3 + 2*g**2*j + 35*g*j**3 - 1002*g*j - 3 wrt j.\nAnswer: 636*g**2*j + 210*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 609600 and 4572.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 2*l - m, -4*m = 4*l + 297 - 57. Let k = l + 66. Solve -k*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v*(v*v\/((v**(-2)*v*v)\/v))\/v)\/v)\/v*v)\/v**3)\/(v**(-1\/2)\/v*v**3\/v) assuming v is positive.\nAnswer: sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.501 - -246?\nAnswer: 262.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = i + 5*i. Suppose -9*w + 15 + i = 0. Suppose 5 = -7*s + 2*s. Put s, w, -2 in descending order.\nAnswer: w, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 147.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 1, j: 5, q: 1}. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -20 - (-456 - -472)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11863448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 79. What is the remainder when a(-17) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31659210 and -84.\nAnswer: -31659294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - d. Let x be t(-1). Suppose f = 3*v + 151, v = -x*f + 64 + 592. Let o = f + -84. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*z - 0*s + 289, s = -z + 61. Let -74*f**2 - 191*f**2 + 90 + 30*f**3 - 143*f + z*f + 19*f + 12*f = 0. What is f?\nAnswer: -2\/3, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - -32. Let o be ((-20)\/y)\/(1\/(-147)). Let n = 56 - o. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 237*s - 66*s - 4340 = 0 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-12) + -4)*((-2070)\/(-161))\/(-6)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2*10\/4. Let q be (-6)\/27 - 11\/(-9). Let v = 2788 + -2784. Solve p*j + v = -q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 4) + (-2 - -5) + 4 + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 6:44 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 28. Let f be 3230\/(-17)*z\/(-4). Calculate the greatest common factor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1000680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 + -1) - (-10 - (-5 - -3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -467*u**4 - 1398 wrt u.\nAnswer: -1868*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/15? (a) -0.36 (b) 0 (c) -3.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2119 - 743*f + 2119)*(0*f + 4*f - 5*f)*(-1 + 3 - 4) as q*f + t*f**2 + s and give t.\nAnswer: -1486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 178.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 165567310 to the nearest 100000.\nAnswer: 165600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*j*q**3 + 60*j*q**2 + 41*j + 152*q**3 wrt q.\nAnswer: -132*j + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1151 + -19\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1314440477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x - x**4 + 0*x**2 + 4*x**2 - x**2 + 3*x**3 - 2*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 9:19 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -280800 divided by -32?\nAnswer: 8775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38 from -2188.811.\nAnswer: -2150.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (63\/7)\/(6\/88). Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110100111000000000001 - 111?\nAnswer: -101110100111000000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0444 * 1.\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579782 is divided by 385.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161\/6 or 26?\nAnswer: 161\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 15287.\nAnswer: 15286.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, -3\/5, 1\/3, -4, 3\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1461*p*z - 39817*z wrt p.\nAnswer: -1461*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -18*j + 77. Calculate f(-5).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(405) - 3*(-1 + sqrt(405))) + sqrt(405) + sqrt(405) - (-4 + -4*sqrt(405))) + -4).\nAnswer: -36*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 73\/96. Let l = -17427 + 17426.9. Is l equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -20. Suppose -32 = -t*r + 265. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 26 = -347 - 15 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3441, 5, -47 in descending order.\nAnswer: 5, -4, -47, -3441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/2)\/(w**6\/w*w*w)*(w**1\/w)**(-11\/5) assuming w is positive.\nAnswer: w**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1343, 2608, 3883, 5174, 6487, 7828, 9203?\n\"Answer: p**3 - p**2 + 1261*p + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237930 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2982 + 0\/(-14 + 3 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -65430?\nAnswer: -65435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. Is (t + 22)*(4 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/8*(-9)\/18.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -44. Suppose -y*v + g + 3*g = -16, 0 = -2*v + g + 8. Differentiate 8*r**3 - 4*r - 2 + v*r - 1 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysssssyssy. What is prob of picking 3 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 228 = 18*o + 7*o. Let v(x) = x**2 + 7*x - 77. Give v(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64909157 greater than 64909157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -36)\/(3 - 1). Are 16 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-33)\/36 - -1 - 30\/216*-6789?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*q - 3*q. Let k be (-8)\/(-3) - q\/(-12). What are the prime factors of ((-26)\/(-2))\/(k\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33892 (b) -6\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3134475269 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 8:53 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 - (91 - (117 - 9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.548459 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 7*b + 9. Let h be v(6). Let f(j) = -j**2 - 3*j + 5. Let x be f(-4). What is the highest common factor of h and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25583*d - 25621*d + 3762 = 0 for d.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2028 and 1476.\nAnswer: 249444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12141119, 24282234, 36423349, 48564464, 60705579, 72846694?\nAnswer: 84987809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(130)*1 + sqrt(130))*-2)\/((5*sqrt(70)*-2 + sqrt(70) + sqrt(70) + sqrt(70) + sqrt(70))\/(sqrt(56)\/sqrt(200))).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o + 6*o**4 + 6*o + 7*o - 7*o**2 - 3*o**3 - 3*o**2 as v*o + j*o**2 + r + z*o**3 + s*o**4 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -11, -5, -10264 in decreasing order.\nAnswer: -2, -4, -5, -11, -10264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o - 432339. Let f(m) = 2*m**2. Calculate c(f(u)).\nAnswer: 8*u**2 - 432339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {s: 1, d: 7, v: 1, t: 7}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0166*5.2.\nAnswer: 0.08632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 4)*(-2)\/(-6). Sort -73, o, 3, -3 in descending order.\nAnswer: 3, o, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/3, -12\/7, 3\/34, 10\/3, 0.06?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 577836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/15 - 330032*a\/15 + 13615140128\/15 = 0?\nAnswer: 82508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*s + 89, -z + s = 4*z - 120. What is the least common multiple of z and 2\/11 - (-6372)\/649?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/4 - -1)\/(317\/(-2844124)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/143*(-975)\/500.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d**2 - 812 - 950 - 20*d**2.\nAnswer: 4*d**2 - 1762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 + -1452101314?\nAnswer: -1452101425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 1 (c) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {y: 2, x: 4, q: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 11 = -6*d. What is the smallest common multiple of 33 and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**15*n*n**(-7\/2)*n**11)**(-50) assuming n is positive.\nAnswer: n**(-4475\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = k + k. Calculate the remainder when k is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 5*b - 3*f, -5*f - 71 = -2*b + 71. Calculate the smallest common multiple of 4116 and b.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*j - 95. Let o = j - -31. Solve 0 = -b + o - 0, 3*y - 3*b = -30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 - (-3 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/8, -1.6, 2, 4, 103?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -5234145 and -0.25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -4) + 5 + -8. Solve -k*l = -l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 15*g - 1. Let j(y) = -y**2 + 14*y - 1. Let f be j(14). Let t be n(f). What is the units digit of (t\/14)\/(2\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.28. Let p = 0.68 + -0.3. Let c = p + m. Sort 0.2, c, 0 in ascending order.\nAnswer: 0, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 48, -5, -84, -189?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19 and -3.696?\nAnswer: 22.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*i - 2*u, 0 = -4*i - 4*u - 8. Find g, given that 25*g**3 + 5*g**2 + 100*g**i + 15*g**3 + 18*g + 72*g + 5*g**4 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -177096.\nAnswer: -1\/88548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i = -54*i + 255. Suppose -4*y + l + 21 = 0, 3*y - i - 1 = l. Solve -13 + 3 = -y*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 23476*x**2 + 187616*x - 375104 = 0.\nAnswer: 4, 5861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 425*d**2 - 5*d + 4. Let s be n(1). Let l = s + 19. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/22777816 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 14118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1. Suppose -2 = -3*v + 40. Suppose -w + 17 = -3*z, -4*z - 27 = -5*w + v. Let c(k) = -4*k + 7. Calculate w*d(x) - c(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -5 + (-27)\/(-12). Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3 - 15415*t**2 - 1720080*t - 9764460 = 0 for t.\nAnswer: -102, -6, 3191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280, -544, -808?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i + 1. Let j(q) = -68*q - 7. Let g(f) = -6*j(f) - 34*o(f). Is 4 a factor of g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -72 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 10 + 5 + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + b**4 + 4 + 27*b - 12*b - 17*b to r + f*b + w*b**2 + h*b**3 + c*b**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1891125*l**2 - 1451400*l + 278480.\nAnswer: 5*(615*l - 236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -6. Let d = 118 - t. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 minus 0.041866?\nAnswer: -59.041866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10402814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*1\/2)\/((-42)\/(-84)). Let j(a) = -a**2 + 9*a**2 - 7*a**c. Let u(l) = -41*l**2. Determine u(j(f)).\nAnswer: -41*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122102100 + 21201?\nAnswer: -20122010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbdbydddrddbyydrb. Give prob of sequence ddrd.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 3*f + 3. Let u(j) = 5 - 4*j**2 - 4 + 5*j**2. Let s be u(2). Let i(w) = 3 - s*w**2 - 5 - 5 + 7*w. Give 3*i(d) + 7*p(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -840 + 836.07. Let o = w - -4. Let z = 0.17 - o. Are z and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/7 (b) 6 (c) 3\/8 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -265 + 3*k**2 - 3*k + k**2 + 273 - 2*k**2. Give o(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -0.2, 6, -1\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 5 - 5 + 1 - u - 1 + (4 + 0 - 2)*(-u + 0 + 0) + (-9*u - 53 + 53)*(6 - 14 + 105) - u - 1 + 1.\nAnswer: -879*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v**3\/3 + 3*v**2 + 4*v - 4. Let c be i(5). Let h = c + 55. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41.8 (b) -0.7 (c) 0.077 (d) -5\/4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6069, -12136, -18201, -24264?\n\"Answer: q**2 - 6070*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31149370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08 less than -8.6?\nAnswer: -9.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 4*c - 8*c - 2*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujjxuujtuzu. What is prob of picking 1 t and 3 u?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**4 + 8*s**3. Let x(z) = -z**5 + 17*z**4 + 17*z**3 - z**2. Let i(y) = 10*p(y) - 4*x(y). Let i(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 6*h - 4. Let d be t(-4). Suppose 5*n + 1473 = -z + d*z, -3*n - 907 = 4*z. Let v = -136 - n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(60)*1 + sqrt(60)) - sqrt(60))\/sqrt(12).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -345, -795, -1235, -1665, -2085, -2495?\n\"Answer: 5*q**2 - 465*q + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*i - 1 = 0, 4*h - 667 = 5*i - 698 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -348 + 347.8. Sort 0, i, -2\/3, -3 in descending order.\nAnswer: 0, i, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -3 - 8) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {r: 2, i: 4, a: 10}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1394*x - 70. Let p be u(-5). Round p to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 51 = -73. What is the remainder when 64 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j - 17 = 5*o, -3*j - 3 = 0. Let u be 2 + (o - -5) + -38. Let v be (-6)\/15 + u\/(-10). Solve -b - v*f + 4 + 1 = 0, 5*f = 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvoedwoddwoowowv. Give prob of sequence vevw.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oovvovoovooooq. What is prob of sequence qvvo?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/72 + (-32)\/(-18). Suppose j + 1 = -n + 2*n, 23 = i*n + 5*j. Suppose -6*k + 52 = -n*k. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 2*k - 52, -60 = 13*l - 14*l - 2*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (52\/(-6))\/(8\/(-27468)). Suppose 2*y - 75010 = -3*d, -y = 3*d - r - 45248. What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-288 + 288 + 51*c)*(-c**4 + 4*c**4 + 0*c**4 + (4*c**2 - 2*c**2 - 4*c**2)*(-1 + 1 - c**2)).\nAnswer: 255*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.3. Let k = -1\/33 - 31\/66. Let g be (-3)\/2*32\/36. Which is the closest to k? (a) -1 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2752.08 months?\nAnswer: 229.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 29 = -59 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o + 5*z = 24*o + 41812, 0 = -o + z + 13924. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 33*l + 64. Determine z(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {j: 2, f: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 not equal to 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 + 4831*k**2\/5 - 5028144*k\/5 - 402272064.\nAnswer: -(k - 2568)**2*(k + 305)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 116049813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1347466\/222 + ((-2)\/1)\/(-6). Suppose 0 = -19*x + 14982 + l. What are the prime factors of x?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/13)\/m)**(-1\/12)\/((m*m**(2\/17))\/m**(-9\/2)))**8 assuming m is positive.\nAnswer: m**(-29830\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -80082.1?\nAnswer: -40041.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3)\/(-1 - 1). Suppose -5*r + 0*r = h. Suppose 0*x - 3*x + 30 = r. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**5*s*s*s)\/(s\/(s*s*s\/s**(-7))))**(-20)*(s**3\/(((s\/(s\/(s**(-1\/7)\/s)))\/s)\/s*s))\/(s**(4\/11)\/(s\/s**(1\/7))) assuming s is positive.\nAnswer: s**(-3898\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7 and 12\/24*158\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.52 and 143248?\nAnswer: 217736.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 265\/11. Let j = 1 - 1.2. Let m = j + 0.4. Which is the closest to -2\/9? (a) m (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 58. What is the third smallest value in 0.1, -5, 2, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*v = 4, -4*m + 2*v + 17 = 5. Suppose -6*f = -f - 220. Calculate the highest common factor of f and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 6*a + 11. Let c be k(6). Let x = -59 - c. Find the second derivative of -203*i**2 + 3 - 2 - 30*i + 221*i**x wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*j - 34*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 10 = 0. Is 5 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 24*d**3 - 6*d**2 - 1. List the prime factors of x(3).\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 v, and 1 y when four letters picked without replacement from {v: 7, r: 2, j: 2, y: 1}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -9, -2, 0.3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*(-4)\/36. Let z = 2.24 + -0.24. Which is the third biggest value? (a) z (b) v (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34456)\/22 + 4\/176*8. Let f = -1075 - g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + (-16 - (-10 + 14)) - 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63162 and 26154.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.11 - 0.11. Let q = -468 + 472. Which is the closest to 2\/5? (a) q (b) -7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39062752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35024450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -48\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 40 = 5*g, 2*x - 25 = -0*x + 5*g. Let w(a) = a**2 - 2*a - 3. Let p be w(-2). Suppose -4*b + 5*b = p. Are x and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.02 - -1. Let s = -2.1425 + 3.1425. Which is the second biggest value? (a) t (b) -0.08 (c) -1\/9 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 c when four letters picked without replacement from ccycccccyccycccyycc.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40278018 by 13426006.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*g + 1861 = 268, g - 533 = -u. List the prime factors of u.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4840940159 + 4840940090.99999937. Let v = 69.1 - 1.1. Let n = k + v. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*j + 2*j**2 + 113*j**3 + j**2 + 62*j.\nAnswer: 113*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b - 1. Let s be ((-6)\/(-8))\/(675\/(-96) + 7). Let g(p) = -p. Give s*g(k) + 3*j(k).\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4\/7, 4, -16 in descending order.\nAnswer: 4, 1\/3, -4\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 24, -96, -2, 2, 0, -9.\nAnswer: -96, -9, -4, -2, 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*d - 946 + 156 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.20974+-8\nAnswer: -8.20974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-2\/23))\/(g\/g**(-2\/23)))\/((g\/(g**(-2\/5)\/g))\/g*g)**(1\/19))**(38\/5))**37 assuming g is positive.\nAnswer: g**(-888\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370814, 370812, 370804, 370784, 370746, 370684, 370592, 370464?\nAnswer: 370294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 263587009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/8 - (-24)\/(-64). Let z(r) be the second derivative of 2*r**3\/3 + r**2\/2 - 2*r. Let d be 3*((-14)\/6 - 0). Let i(j) = 13*j + 3. Give d*z(n) + l*i(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -5, -3, 2\/3, -6.3.\nAnswer: -6.3, -5, -3, -3\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/561 and 89\/300135?\nAnswer: 300135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*g - 22. Let j be (-302)\/(-588) + (-2)\/g. Let a be 1\/(-13) - (-27 + 13068\/468). Is j at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16776 and 5592?\nAnswer: 16776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 616099 and -5?\nAnswer: -3080495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 11. Let d be m(8). Let u(z) = -4*z**2 + 15*z + 15. Let b(r) = 2*r**2 - 7*r - 7. Let p(f) = -f + 2. Let a be p(-4). Calculate a*u(n) + d*b(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2 - 13 + 3 + f**3 + 13*f - 13*f**2. Determine u(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8593*1\nAnswer: 8593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4 - 376*z**3 - 1980*z**2 = 0.\nAnswer: -5, 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/30 + 38*z**4\/3 + 5776*z**3\/3 + 565*z**2. Factor p(h).\nAnswer: 2*(h + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 54*g**2 - 8*g + 5. Suppose d = -3*v - 22, 2*d + v + 0*v = -19. Is j(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + 0.04. Let o(u) = -u**3 + 8*u**2 - 21*u + 6. Let y be o(5). Is y equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 175. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*k + 13*k**2 - 76*k + (-3*k - 4 + 4)*(-5*k - 5*k - 7*k).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 907 * -17\nAnswer: -15419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 6330058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let k(u) = -3*u**3 + 5*u**2 - 6*u. Let y(t) = t**3 - t**2 + t. Determine h*k(a) + 4*y(a).\nAnswer: a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 68, 184, 354, 578, 856?\n\"Answer: 27*q**2 - 19*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1638*s + 3277*s - 3 - 1636*s)*(-1 + 5 - 5).\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4)*(16700\/6 + 16) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by 78?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88194933 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s**2 + 6*s - 13. Let r be o(4). Let d = r + 35. Let n = 137 - d. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -84 and -0.7.\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1330 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnwnnnnnnnnnnnnnn. What is prob of picking 2 w?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - 0.11. Let o = 77 + -81. Which is the third smallest value? (a) z (b) 1 (c) -0.5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.0761, 0.1, 0.4 in descending order.\nAnswer: 0.4, 1\/4, 0.1, 0.0761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + y - 6. Let z(u) = -8*u**2 + 2*u - 20. Let c(k) = -5*d(k) + z(k). Determine c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*b**2 + 24879*b + 772293.\nAnswer: 3*(b + 797)*(10*b + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9265 + -5761. Let j = r - 2121. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from fzfxnnzzzxf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*f**3*r**2 + 2*f**3*r + 442*f*r**2 + f*r wrt f.\nAnswer: -342*f*r**2 + 12*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0\/(-5))\/(-3). Which is the nearest to r? (a) -3 (b) 0.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7.5. Let u = -0.13 - 4.87. Sort u, s, 1.\nAnswer: u, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13279*s - 2217621. Calculate q(167).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s = 10*s - 3*s + 36*s. Which is bigger: -2\/179 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 0*v + 6*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-376)\/47*(-6)\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.3 + -74. Let t = x - -0.3. Which is the closest to -0.1? (a) 2 (b) -0.07 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*-5)\/(232\/(-174))*13\/(-78)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let w(z) = -74*z + 98. Let r(y) = 2*y + 7. Let b(u) = 14*r(u) - w(u). Give o(b(c)).\nAnswer: 102*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*u - 108, 6*u - 770 = -614 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132664197*p + 98537806.\nAnswer: -132664197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-3 + (-6)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j - 5*j = 4425. What is the greatest common divisor of 45 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + 0 + -2 + sqrt(1900))*-2)**2.\nAnswer: -320*sqrt(19) + 7664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2920 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -427850 + 3000770\/7. Let b = -831 + u. Factor -b*t**2 + 9\/7*t + 12\/7.\nAnswer: -3*(t - 4)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) 1\/3 (c) 2669 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 2. Let p be q(8). Suppose -10*d + p = -5*d. Suppose 0*s - 18 = -4*s - 2*g, -5*s = 5*g - 30. Solve d*y + 1 = s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -380\/3 (b) 9 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -5426800961.\nAnswer: -5426800960.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*c**3 - 143*c**3 - 2*c**2 + 270 - 270 - c as h + k*c**2 + t*c + m*c**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/8)*c\/((c*c**(-9)*c)\/c))\/(c*c**(-2\/17)*c*(c*c**(1\/4))\/c) assuming c is positive.\nAnswer: c**(917\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -4 + -3 - (sqrt(60)\/sqrt(6))\/sqrt(5) - (2*(sqrt(128) - 1*sqrt(128)) + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -192*l + 2304. Let v be q(12). Suppose -2 = 5*u + 8, 3*u - 154 = -5*x. What is the derivative of -x*i**4 + 34 - i**4 + v*i**4 wrt i?\nAnswer: -132*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 2239978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 + o**2 + 2*o + 1. Let b be g(-1). Calculate the greatest common divisor of 15 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1170514001*o**3 - 31*o**2 - 76465*o - 8?\nAnswer: 7023084006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92.5 - 5.5. Let r = n - -98. Which is smaller: -43 or r?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.2, 3\/8, 1\/8, -2\/59?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 2592b?\nAnswer: 25926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:51 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2386047 is divided by 596499.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 28 = -5*g - 5*o, -3*g - 4*o + 20 = 0. Let h = 2207 + -2206. Calculate the remainder when (h - 3)\/((-22)\/209) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 34*y**3 - 5*y**2 + 6. Let l(g) = -99*g**3 + 16*g**2 - 16. Give -8*d(j) - 3*l(j).\nAnswer: 25*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 - 5*c - 5. Let q(x) = -x**3 - 4*x**2 - x + 1. Let y be (-3 - 14\/(-2))\/(-1). Let k be q(y). What is p(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1364616 divided by -454872\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -0.0779109649.\nAnswer: 0.3220890351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577.3021 litres to millilitres.\nAnswer: 577302.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 m, and 1 j when four letters picked without replacement from rmhmlhhmhjhmjmlhhh.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 + 17. Let p be (-4)\/d - 23\/(-4). Let y(v) = -v + 1. Let w(x) be the first derivative of 4*x**2 - 7*x - 1. Calculate p*y(n) + w(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-12))\/(-11*5\/150).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 3. Let c(p) = -2*p**2 + 5*p - 2. Let x(t) = -t**2 + 1. Let f(s) = c(s) - 3*x(s). What is -3*f(j) - 5*v(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959845287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219945.\nAnswer: 3, 5, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 20*v**2 + 46*v + 62. Let c be r(-17). Let j = c - 144. Are j and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 7*g**2 - 11*g + 5. Let i be j(4). Find the third derivative of 9*u - 8*u**3 - u**3 - i*u + 9*u**2 wrt u.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015309 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 52*s + 65171. Determine c(-194).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 154229016 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = i - 30, -19*x - 2*i = -21*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 3, -4, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - 6*z**2 + 3*z - 56 + 4*z**2 + 54 in the form f*z + t + y*z**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1844 = 3*c - 1890, -5*w + 5*c = 60 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, 10, 90, 254, 532?\n\"Answer: 5*s**3 - 3*s**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-4) + -3*(2\/6 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/4)\/7*4. Suppose 6 + 6 = 2*b. Let f be (4\/b)\/(1\/15). What is the highest common divisor of f and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 32 (b) 25\/6 (c) 4 (d) -38 (e) -3\/2 (f) 0.3 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/120 + 23*p**5\/60 + 23*p**4\/24 + 16*p**3\/3 + 14*p**2. Calculate the least common multiple of r(24) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r - 1. Let w(z) = 4*z**3 + 18*z**2 + 6*z - 10. Let n(j) = 5*s(j) + w(j). Let v be n(18). Which is the closest to 1? (a) 0.5 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75789770 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-342)\/(-285))\/(5\/((-25)\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**3 - 3*l - 3. Let u(p) = 33*p**3 + 13*p + 15. Give 2*u(w) + 9*v(w).\nAnswer: -6*w**3 - w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100994107567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -52?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s**(-4)*s\/(s**4\/s)*s**1)\/((s**4\/(s**(1\/3)\/s))\/(s*s\/(s\/s**(-5))*s**(1\/6))) assuming s is positive.\nAnswer: s**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h - 11. Let z be j(-5). Let n = 65 - z. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 5:12 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31080 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(245\/50 + -5). Let h be (-36)\/r + 21\/5. Solve -c = h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o. Let h(y) = y - 7. Let m be h(10). Solve w + m*c + 8 = -o*w, -3*w = 3*c + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5120 + -5119. Let w(v) be the first derivative of -v**2\/2 - 2*v + 47. Calculate w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 3*h**2 + 2*h - 1. Let l be q(-2). Let f = l + 1. Suppose f = -2*g + 9 + 5. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364057, 728160, 1092311, 1456510, 1820757, 2185052, 2549395?\nAnswer: 2913786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102122221 (base 3) in base 16?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*m**2 - 2*m**2 - 711*m**3 - 39*m - m**6 + 715*m**3 wrt m?\nAnswer: -120*m**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d + 35 = 2*q, -d = -5*q + 20. Let -37*v**3 - 14*v**5 + 7*v**q + 34*v**2 - 53*v**3 + 54*v**4 - 4*v + 61*v**5 = 0. What is v?\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - 192\/14. Let f = -31 + 58. Let j = f + u. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -121 and 172705333493?\nAnswer: 172705333614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from zsnwl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y + 18. Let k be y\/(-6)*(-2)\/9. Which is smaller: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 - 10*x**2 - 98 + 172.\nAnswer: -10*x**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 + g**2\/6 - 7*g\/2 - 15\/2.\nAnswer: (g - 5)*(g + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, 6, 2.2993, -910?\nAnswer: 2.2993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x**2. Let n be 8\/(-16) - 3\/(-6)*17. Let a(h) = 6*h - 8. Let g(i) = -4*i + 5. Let v(r) = n*g(r) + 5*a(r). Calculate v(k(d)).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0 + -1)\/(-1). Let s be f\/(10\/(-6)) + 1. Factor 4\/5*a**2 + s*a**3 + 2\/5*a + 0.\nAnswer: 2*a*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7535748 divided by -627979.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-14)\/12)*84\/(-54)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 5 = -8*b. Suppose 0 = u - a + 6, -3*u + b = 4*a + 47. Is (2 - 3760)*u\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 95 + -86 + -6 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 + 6*y. Let a(k) = -7*k**2 + 12*k. Let t(j) = 4*a(j) - 9*d(j). Let s be t(-6). Solve 6 = 3*f - 2*b - s*b, f = -4*b - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 11 = u, 0 = 2*u + 3*u + 4*n + 84. Does 26 divide (u\/32)\/((-2)\/328)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 7524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 30. Let p = 0 - -2. Suppose -29 = -3*k - p*w, k + 0*k = -w + n. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n**2 - 104*n**2 + 54*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, 25, 0.17, 277\/5 in decreasing order.\nAnswer: 277\/5, 25, 2, 0.17, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 + 134*n**3\/5 - 841*n**2 - 19028*n\/5.\nAnswer: -n*(n - 71)*(n - 67)*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 1323*r**3\/5 + 61677*r**2\/5 - 4728*r + 2256\/5 = 0?\nAnswer: -47, 4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58501454 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-28)\/(-12))*5*156\/20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3516 is divided by 1746.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:49 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2299) + -2*sqrt(19) + 0 + -3.\nAnswer: -3 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 0*m**3 - 1 - 1\/2*m**4 + 0*m + 0*m**2. Let q be o(1). Let z(j) = 2*j**2 + 3*j + 3. Calculate z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-47)\/(s**(-11)\/s**(2\/9)) assuming s is positive.\nAnswer: s**(947\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/10)\/(-2*(-5)\/50). Does 10 divide (2 - -41)*(1 - (3 + m))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4415, 2, 1, -4, 6 in descending order.\nAnswer: 4415, 6, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 48259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.178 and 5039402369.\nAnswer: 5039402369.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 10, -2*t = 4*i - 22. What is the second derivative of 371*v**i + v**2 - v**2 - 33 - 181*v**3 + 3*v wrt v?\nAnswer: 1140*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 61 - 61.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34539 + -69075\/2. Factor -9\/4*l**4 + 0*l + 0*l**2 + k*l**5 + 0 + 3\/4*l**3.\nAnswer: 3*l**3*(l - 1)*(2*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(272) + 0) - -6*(sqrt(612) - -2*sqrt(612))) + (3 + 0 + sqrt(17)*-2 - (-2 + (sqrt(17) - (-1 + sqrt(17))) - (1 + sqrt(2057)))))**2.\nAnswer: 1330*sqrt(17) + 300738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = 2*a + 4*c - 272, 5*a - 4 = -13*c + 2 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1 (b) -2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11455 + 11735. Calculate the highest common factor of g and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62049 divided by -39.\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*t**3 + 139*t**2.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Let y be (57\/12 - 5) + (-10)\/24. Which is the second biggest value? (a) s (b) -2\/11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3354 (base 7) to base 13.\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1804)*2\/22 + 0. Let v = d - 164. Sort -0.5, v, 1 in descending order.\nAnswer: 1, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-1581) - (-108)\/(-238).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 31. Suppose 5*c - n = 15, -o = -5*c - 4*n + 1. Suppose 0*i + c*i = 3*x + 12, 4*x = 2*i - 12. What is the greatest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9797, -19593, -29389, -39185, -48981, -58777?\n\"Answer: -9796*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 + 161 = 9*y. Is 27 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*y - 5 = 0, y = 2*a + 2*y + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -54, -5 in descending order.\nAnswer: 1, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, 0.02 in descending order.\nAnswer: 36, 0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 14*i - 34. Let g = -40 + 61. Calculate the remainder when x(19) is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 5, b: 6}. Give prob of sequence eye.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 1 - 4 + 3 + 2. Determine p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2310 + -2230?\nAnswer: -10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -156cd6 (base 14) in base 11?\nAnswer: -471736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Suppose 0*m + w*m - 3*f = 75, -3*f = 15. Suppose -s + 2*s - 23 = 0. What is the remainder when s is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 582*t**2 - 8*t + 36. Let y(u) = -583*u**2 + 7*u - 30. Calculate 5*q(z) + 6*y(z).\nAnswer: -588*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4 + (-5 - 4) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(80))**2 + ((sqrt(80) - ((sqrt(80) + 1 + sqrt(80))*-1 + sqrt(80)))**2 - sqrt(80)) + sqrt(80).\nAnswer: 16*sqrt(5) + 5441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 9. Suppose -6*a**5 + 4*a**3 + 2*a**4 - 5*a**2 + 2*a**p + 2*a**4 + a**2 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(13\/4)\/b)\/b)\/(b*b\/(b**24*b))*b*b*b\/(b*b*b\/(b*b\/b**(12\/5)*b))*(b\/b**(1\/10))\/b assuming b is positive.\nAnswer: b**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3 + d**2\/2 - 6*d - 1. Let k(u) = -2*u**2 - u + 5. Suppose -50*o + 24 = -45*o - 3*b, 0 = 3*b + 9. Give o*w(v) + 4*k(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1712 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2 - 30*m + 1088 = 0. What is m?\nAnswer: -32, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.773 + -0.127. Let s = 35 + c. Let d = 30 - 30.5. Sort d, 0.01, s in increasing order.\nAnswer: d, 0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**5\/35 + 3*x**4\/28 - x**3\/7 - x**2\/2 + 6*x\/7 - 47. Factor o(c).\nAnswer: (c - 1)**2*(c + 2)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*b - 76*b + 4*q + 32, b = -5*q + 41. Calculate the smallest common multiple of b and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650 (base 13) in base 7?\nAnswer: 40524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 361159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 884956.19.\nAnswer: 884956.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfs when three letters picked without replacement from {s: 18, f: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 31*u**2 - 53*u + 24. Determine v(12).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8 + (-60)\/160.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245)*-2)**2 + -4.\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-19)*h**(-4\/29) assuming h is positive.\nAnswer: h**(-555\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -3*h, -4*d + 11*h = 12*h + 2. Suppose d = -5*v - f + 1270, -7*v - 2*f = -3*v - 1022. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 7, -48, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*a + 13*a**3 - 14*a**3 - 11*a - 1 - a**2 + 62*a to j*a**3 + v*a + h + d*a**2 and give v.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 88 - 23. Let d = j - -24. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/39*3*-1*(-87)\/(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 0)\/(10\/25). Suppose z + 6 = r. Solve -r = 4*f - 8*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:37 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/444810 and 46\/9.\nAnswer: 1334430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + d - 6*d + 33, -5*m + 15 = -5*d. Suppose 5*r + w + 8 = 72, 2*r - 4*w = m. Solve -2*x = -i + 11, r = -0*x + x + 3*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 1, g: 2, l: 1, y: 5, j: 2}. What is prob of sequence jl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 5340.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*g - 7 = 0, 4*w - g + 6 = 23. Suppose w*h = 22 - 2. Put h, 2, 0 in descending order.\nAnswer: h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.08. Let r = 1.98 - d. Let x = 1.7 - r. Round x to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-490)\/105*21\/14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8289945 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*o = -112*o + 9. Solve -2*t + 9 = -o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from relaeealraaaear. Give prob of sequence rler.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/90*3)\/(2\/10). Suppose p - 4*x = -60, 0 = -u*p + p + 5*x - 61. Let d = p + 175. List the prime factors of d.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 0*s)*(6 + s + s + 9*s + 7*s).\nAnswer: -72*s**2 - 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**3 + 0 + 0*s - 3*s**2 + 1\/24*s**4. Let o be (-10)\/35 - (-78)\/(-21). Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/4*-10*15\/(-12). Suppose 8 = 5*k + 3*g, 3 = -3*k - g + 7. Let r = k + y. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 210874*x**2 - 5559429296*x + 50017784328.\nAnswer: -2*(x - 52714)**2*(x - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - b - 2046*b**2 - 353*b**2 - 8274*b**2 + b.\nAnswer: -10673*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1680 and 1648 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -39. Let n = 2 - s. What is the units digit of (-3)\/(-2 + (-15)\/n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (10 - (-5 - -9)) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 take away -7127?\nAnswer: 6707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -39. Solve -l + w = -7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/(sqrt(8)*-2) - sqrt(17)) + 4*sqrt(51)\/sqrt(3) + (sqrt(1088) - (sqrt(1088) + 0)) + -1)**2.\nAnswer: -5*sqrt(17) + 429\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + k**3 + 28703*k + 2*k**2 - 28702*k - k**4 - 1 in the form q*k**2 + i*k**4 + g*k**3 + v + d*k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 983?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5860714*t**2 + 1101074 wrt t?\nAnswer: 11721428*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199 + 206. Suppose -m*u - 5*u = 15732000. Round u to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.1 - -21. Let v = j - 0.5. Sort 0.2, v, 1 in increasing order.\nAnswer: 0.2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/48)\/(16\/18)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 454849, 454846, 454843, 454840, 454837?\n\"Answer: -3*d + 454852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172996408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -287 + 857. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1812 + (-2)\/(-1) + 2. Let y = z + -25491\/14. Find the common denominator of y and (-17*2\/24)\/(9\/18).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 26 - 2. Let r be ((-8)\/(-6))\/(t\/(-12)). Find the first derivative of -5 - 49*x**r + 44*x**2 + 15 wrt x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2*(-2)\/4). Let a be -18*-2*u\/4. Suppose 0*o = 3*o - a. Solve -2*h + o = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60188859, 120377704, 180566549?\nAnswer: 240755394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.649248 less than -0.4?\nAnswer: 0.249248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 40. Let b be g(-9). Let n(c) = -c**3 - 2*c**2 + 2*c - 3. Let i be n(-4). Let r = i + b. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61874.61l?\nAnswer: 61874610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1944*p + 56736 - 131340 - 131460 for p.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 - 22*m**2 - 113. List the prime factors of b(-32).\nAnswer: 3, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6241 - (-1 + (0 - 0)). Suppose 134*v = 129*v - 15. Let d be (-53 - v)\/(3\/q). Round d to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 4:39 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 + 6*s**2 + 7*s - 23. Let u(m) = -m**3 - m**2 - 2*m + 1. Let k(p) = t(p) + 6*u(p). What is the hundreds digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 3\/2*n**4 + 0*n**2 - 7 + 4*n + 4\/3*n**3. Let h = 0 + 4. Let u(g) = 5*g**3 + 3*g**2 + 3. Give h*u(q) - 3*c(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1706882\/12117039 - -1\/21599. What is the common denominator of d and -169\/30?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/128? (a) -1\/3 (b) -2 (c) 2 (d) -7 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*r - 138*r = -6258. Suppose -r = -9*x - 69. What is the remainder when 92 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 3\/29, 2\/5, 2\/15, -6?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1500, 4458, 14388, 28290, 46164, 68010, 93828?\n\"Answer: 1986*u**2 - 3486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000010 (base 2) to base 7.\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7 + 9*k + 7 - 20*k + 9*k. Let i(b) = 2196*b**2. What is i(m(n))?\nAnswer: 8784*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-6\/5))\/(h\/(h*h**(2\/7)*h*h*h))*h**6*h**4)\/((h\/(h*h**(2\/9)*h))**(-3\/14)\/(h**(-1\/6)*h**8)) assuming h is positive.\nAnswer: h**(807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 - -25.21. Let v = -10 + w. Let b = -16.4 + v. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687 a factor of 30483456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -8*i**3\/3 - 7*i**2\/2 - i + 246. Let j(a) = 9*a**2 + 6*a + 1. Calculate -6*d(l) - 7*j(l).\nAnswer: -15*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 11*o + 50 = -33*c + 7, 0 = 6*c - 3*o + 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 + 5*r + 34. Let q be l(6). Let y = 14 - 13.9. What is the biggest value in q, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -358? (a) -0.2 (b) 77 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2030769127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n - 4. Let g = n + 3. Let p be g\/6 + (-57)\/63. Which is the smallest value? (a) p (b) -5\/4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -532*w**3 + 77*w**2 - 77*w - 77. Let r(g) = -14*g**3 + 2*g**2 - 2*g - 2. Calculate 2*o(p) - 77*r(p).\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = m. Let w be (70\/5)\/(3 - m). Let o be (-1 - w)\/(0 + -2). Solve 20 = 4*g - 2*c, 8*c + 1 = -5*g + o*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 = -38*k - 148 + 298 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1. Let m(h) = -h + 2. Let l(z) = m(z) - 2*w(z). Suppose 2*i - v = -4, i + v = 3 + 1. Let o(c) = c**2 + c - 1. Let x be o(i). Give l(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 23*k**3 + 8*k**2 + 685*k + 685. What is u(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 276\/5. What is the nearest to 0.1 in o, 0.2, -0.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + u**2. Let j(c) = -4*c**3 - 7*c**2 + c - 2. Let i(r) = j(r) + 5*x(r). Let p be i(3). What is the highest common factor of 80 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 326 and 151427?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 546987139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/13))**(-3))**(-2\/37) assuming w is positive.\nAnswer: w**(-12\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13.9901 + -178364819\nAnswer: -178364832.9901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1000011100?\nAnswer: -1000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-3)*20340\/(-1808)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -599690.55\nAnswer: -3598143.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1911*w**2 - 1911*w**2 + 3835*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27576 - 27564. What is the lowest common multiple of d and -9*(-1 + 0\/1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82789, -166589, -251409, -337255, -424133?\nAnswer: -512049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*m - 83*m = 68664710. Let y = -10726471 - m. Round y to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1942*r + 1940*r - 19*g = 70 - 203, 0 = -2*r + 3*g + 67 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/26)\/(81\/21060*-330).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1584)*-2 - (sqrt(1584)*1*4 + sqrt(1584))) + (sqrt(1584) - (sqrt(1584) + -1))*5*5)**2*-1*-5.\nAnswer: -22680*sqrt(11) + 391725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/21 + (-16)\/336*-543. What is the greatest common divisor of 865 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4 + 2 - 2 + 2 - 3 + 3 + 2 + (4 + 4 - 6)*(-2 + 2 - 1))*(-18*z - 14*z + 33*z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22070121.\nAnswer: 3, 7356707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + (-1603)\/49. Let d = l - -160. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 14) to base 8\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - -46.77. Let l = f - 46.8. Which is the nearest to l? (a) -3 (b) 3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11253 (base 7) in base 2?\nAnswer: -101101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.36439 less than 0.2059?\nAnswer: -44.15849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 31 = -5*r, -16*u + 18*u - 4*r = -14. List the prime factors of 5\/(105\/4837)*u.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 36 = -6*k. Let g be (k\/(-4))\/(18\/(-24)). Let r = g - -10. Solve -3*c + 1 - r = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19479 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65735 + 123414. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143917310 rounded to the nearest one million?\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*d + d - 3)*(-130*d**2 + 237*d - 237*d)*(-3*d + d + d).\nAnswer: -260*d**4 - 260*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 + -0.34. What is the second biggest value in p, 0.5, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (28 + -48) - (1 + 46 + -3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965.1443ml to litres.\nAnswer: 0.9651443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 + 16385*k**4 - 648315*k**3 + 2963275*k**2 - 4597240*k + 2265900 = 0 for k.\nAnswer: 1, 2, 35, 3237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221060025697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 6*q**2 + 2*q + 9. Let w(u) = u**3 + u**2 + 1. Let g(s) = c(s) - 6*w(s). Let b(x) be the first derivative of g(x). Differentiate b(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18 and 119\/42012?\nAnswer: 42012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-15) - (-2)\/(-10). Suppose 0 = -2*s + s - x. Which is the third biggest value? (a) 4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/(((-195)\/50)\/(-13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -105*v - 2590. What is y(-24)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 0*v - 74*v**2 + 70*v**2. Let q be d(1). Let f(j) = -j**3 - j**2 + 1. Let i(z) = 6*z**3 + 5*z**2 - 5. Give q*f(c) - i(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (3 + sqrt(21)\/sqrt(7))) + sqrt(3) - -5*((sqrt(12))**2 + sqrt(3) - sqrt(3)).\nAnswer: sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 13\/71?\nAnswer: 13\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1163*s**3 - 251*s + 3.\nAnswer: -6978*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.987025.\nAnswer: -0.2961075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15628*s**2 - 4759*s.\nAnswer: -31256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 8. Let z = -9 - -13. Let y be d(z). Is 8\/7 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1144 and 7876.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 25 = 0. Let u = 15 - h. Suppose -30 + 0 = -3*r. What is the least common multiple of r and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(204*i**2 - 48246*i + 48246*i) - 2*i - i**2 + 1 + 8*i**2 - 5*i**2.\nAnswer: -202*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 14*h + 12. Let q be n(-8). What is the least common multiple of 5\/3*22 - q\/(-6) and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 911133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 120 = 3*z. Let b be ((15\/(-12))\/5)\/(35\/z). Factor -2\/7*g**2 - b + 4\/7*g.\nAnswer: -2*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a**2 - 37*a**2 + 17*a**3 + 19*a**2 + 3*a + (-2*a**2 + 0*a**2 + 0*a**2)*(4*a - 5*a - a) in the form l*a + s*a**2 + n*a**3 + q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3987*c**5*y + 9*c**4*y**2 - 4278*c**2*y - 425*c*y**2 wrt c?\nAnswer: 239220*c**2*y + 216*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 381 in descending order.\nAnswer: 381, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*d**2 + 64*d**2 - 128*d**2 - 46*d**2 + (-2*d**2 + 0 + 0)*(2 - 2 - 2).\nAnswer: -217*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578824?\nAnswer: 2, 72353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (-6 - (-5 + -2)). What is the first derivative of -62*q - 6 + q**2 + 2*q**2 + 0*q**2 - 28 - v*q**2 wrt q?\nAnswer: -4*q - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + ((5 + sqrt(432) + 0)**2 - sqrt(432))).\nAnswer: 540*sqrt(3) + 2260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -775 + 95. What is the units digit of o\/12*3\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167247*-0.91.\nAnswer: 1062194.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 212576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*x - 662*x + 321 = 2*q, -3*x + 13 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 4:26 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-9) - (-2090)\/495 - -63885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 4*w + 4*w)*((1 + 0 + 1)*(1 - 4 + 1) - 4 + 3 - 2 - 8 - 41 - 4 + 3 - 3 + 2).\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (-102 - -112) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 2. Let u be l(-7). What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17655 and 9600.\nAnswer: 11299200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/7)\/(18\/(-8))*4\/(-42)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 258358 and 258362 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 8 = -2*q + 3*c, 10 = -5*q - 3*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5392, 5352, 5290, 5194, 5052, 4852, 4582?\nAnswer: 4230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1423314*x - 1423309*x + 7 = -n, -n = -x - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 + ((-228)\/(-16))\/(464\/(-64))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) -0.5 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 594\/941?\nAnswer: 594\/941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o + 4 - 3*o**2 + 2 - 10 + 3 - 2*o**3 to the form m*o**3 + k*o**2 + r + f*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*-4 - sqrt(52)\/(sqrt(4) + sqrt(4) + sqrt(100)).\nAnswer: -309*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 256238.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 102, 5\/6, -1601?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 8. Let v(p) = p - 1. Let t(a) = -2*k(a) + 6*v(a). What is the derivative of t(i) wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*w + 142 - 215*w - 206*w - 214*w.\nAnswer: -2*w + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-4 + 108\/16 - 3). Find the first derivative of -13 + 29 + x**2 + 3*x**2 + g*x**3 + 10 + 5*x**3 wrt x.\nAnswer: 51*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710272?\nAnswer: 2, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + 12503?\nAnswer: 12550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 2*g + 55, 0*t + 168 = 25*t - 21*t + 5*g for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*x - 12, -3*x = -4*o - x + 8. Solve z + 2*z = o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d + 2 - d**3 + d**2 - 2*d**2 - 5*d in the form w*d**3 + u*d + n*d**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 6*w**2 - 7*w - 9. Let n be i(7). Let r be (-13)\/(-3) + 3\/n. Let v be (-966400)\/24*150\/r. What is v rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, g: 4, e: 2}. Give prob of picking 1 e and 3 l.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.1, 6, -0.1 in descending order.\nAnswer: 6, -0.1, -13.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -2806, -6489, -11884, -19129?\nAnswer: -28362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*f**2 - 73*f - 12400.\nAnswer: -42*f - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145612458.\nAnswer: 2, 3, 2696527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 19, 2, -3, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:27 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + 3*t**2 + 4*t**2)*(-t - 5 - 4*t + 7*t) + (2*t + t - t)*(-1 - t**2 + 1) in the form a*t**3 + l*t + u*t**2 + v and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) + 2\/6. Let j = 0.104 - -0.146. Let p = j - 6.25. Which is the fourth biggest value? (a) y (b) p (c) -1\/10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 405, 20, -5 in descending order.\nAnswer: 405, 20, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l + 3. Let j be v(-11). What is j rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 19*k**2 + 194*k - 137*k - 43*k + 10*k**2 + 10*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {l: 5, e: 1, c: 3, y: 1, b: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123391886 and 11372?\nAnswer: 5686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-81)*-33 + -2. Let r = 313\/288 + 15\/32. Factor -2*y - r*y**2 - i.\nAnswer: -2*(y + 1)*(7*y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -50 and -192.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2880 = j - 2875 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 10*f - 7. Calculate s(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9032151?\nAnswer: 3, 17, 177101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 2*r - r. Let y(b) be the second derivative of b**4\/4 + 89*b. Determine m(y(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3, -5*d + 85*v + 43 = 82*v for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x. Let j(q) = -50*q - 13 + 7 - 6 + 105*q - 52*q. What is n(j(s))?\nAnswer: 42*s - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2669104*w**2. Let s(c) = 2*c**2. Determine z(s(f)).\nAnswer: -10676416*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/10140 and 73\/192660.\nAnswer: 192660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7618 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*z**5 + 143*z**4 - 8*z**3 + 144568*z.\nAnswer: -280*z**3 + 1716*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*q - 2125, -q + 844 = 5*u - 2700. List the prime factors of u.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from {q: 5, w: 3, c: 1, l: 3, z: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v - 108. Let j be b(6). Let q(c) = -12*c + 16*c + 10 + 41. Let h be q(j). Let y(f) = f**2 + 3. Determine y(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 2 - 2 - 6*i - 8. Let w be k(-5). Sort 3, w, 4, 2.\nAnswer: w, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - i + i + (-i + 2 - 2)*(3 + 1 - 2) - i - i + 0*i + (1559 - 3446 + 1561)*(-1 + 0 + 2)*(-5*i - 3*i + 6*i).\nAnswer: 647*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + h + 64118 = -2*k + 64129, 45 = -5*k + 5*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.1 + 7.191. Let q = 0.021 - o. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 66*o**2 - 61*o + 367. Calculate z(-67).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/((38\/475)\/(2\/(-120))).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f - 6. Let m be l(-3). Is m less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84248 + -118248. What is l rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0.02, 6\/7, -2\/13, 0.1 in descending order.\nAnswer: 6\/7, 0.1, 0.02, -2\/13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -887 divided by 589133\nAnswer: -887\/589133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136800 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 244\/7. Which is the second biggest value? (a) -2 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4)*-1*1*(-46 + 55).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*d = -184*d - 844011000. What is d rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-3 + (4 - 2)). Suppose 0 = 4*v + 40 - 20. Put v, 1, n in descending order.\nAnswer: n, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 14, r: 4}. What is prob of picking 3 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - 31\/(-14). Let l = -71 + 70. Which is the biggest value? (a) l (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:01 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 13*q**3 - 75*q - 7. Let x(i) = -9*i**3 + 50*i + 5. What is -7*x(g) - 5*z(g)?\nAnswer: -2*g**3 + 25*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(60\/(-92)) + 22\/(-55).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-280)\/(-49) + 0 + (-2)\/(-7). What is the first derivative of 140*m**3 + 2*m**2 + 0*m**2 + 4*m**2 - m**2 - b*m**2 - 145 wrt m?\nAnswer: 420*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26811921 divided by 7.\nAnswer: 26811921\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 459100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12560\/13 + -966. Which is the closest to -2\/13? (a) f (b) 2\/7 (c) -0.4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70768 + -714?\nAnswer: 70054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -30, -57, -90, -129, -174?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*j = 146, -4*y + 3090 = -j + 3123 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 12. Suppose -4 = -r*i - 5*a + 58, 5*i - 100 = 5*a. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*m + 340283 - 20621 = 0, -q + 79902 = 5*m. What is the ten thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 179.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 7073530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8061*t - 8061*t - 152*t**4 + 3*t**4 - 4*t**4 + 2*t**4 + (0*t + 0*t + 2*t**3)*(-7*t + 2*t + 3*t) as x + c*t**2 + w*t + b*t**4 + z*t**3 and give b.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, -2, -5, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, 21, 5409, 3, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + v)*(-71 + v + 19 + 218).\nAnswer: v**2 + 166*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*t + 17 = 0, -15 = -0*t + 3*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:37 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4170883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.9 * 13.\nAnswer: -323.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206*d**4 + 22*d**3 - 6*d**2 - 803802*d wrt d?\nAnswer: 2472*d**2 + 132*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139\/435 - 2\/145. What is the nearest to -2.1 in -1, -0.2, c, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h + h)*(0 - 3 + 2)*(-55*h - 6967 + 6967 + (4 - 2 + 0)*(h + h + 0*h)) in the form k*h + s + q*h**2 and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**4 + i**3 + i. Let v(s) = 34*s**4 + 3*s**3 + 2*s**2 + 3*s - 2. Let g(r) = 3*q(r) - v(r). What is the third derivative of g(h) wrt h?\nAnswer: -888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808375668 + 808375668 - 149*l.\nAnswer: -149*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 28. Solve 2 + 18 = -3*h + 4*p, 0 = -5*h - 2*p + x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6128 or -18380\/3?\nAnswer: -18380\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.880301 rounded to 3 decimal places?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z - 846 = -62 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (5 - 2)) + 0 + 2. Suppose 4*u + 12 = 7*u. What is the highest common factor of u and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269852?\nAnswer: 2, 11, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3 + 136*v**2 + 288*v = 0. Calculate v.\nAnswer: -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqgqqggqgqg. Give prob of picking 1 g and 1 q.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321\/18 + (-1)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = 24. What is the units digit of ((-2)\/3)\/(4\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2715*c*w**2 + 52*c*w + 2*c + w**3 + 9 wrt w?\nAnswer: 5430*c + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + j + 2. Let q(t) = 198*t**2 + 2*t + 4. What is 3*q(o) - 6*s(o)?\nAnswer: 582*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 28, 0 in decreasing order.\nAnswer: 28, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*d + 642 - 224 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2 - (4 - -1)). Let i be -3 + (-15)\/(-10)*44\/18. Put u, i, -0.4 in ascending order.\nAnswer: -0.4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11*a = -60. Suppose -4 = -a*p + 16. Let i be 2\/p*(3 - 2\/(-1)). Solve -i*f - t - 3*t = -6, 4*t - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m - 0*m. Find the third derivative of m*q**6 + 33*q**2 + 12*q**6 + 4*q**6 wrt q.\nAnswer: 1920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/570 and -76\/5835.\nAnswer: 221730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) -4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/5 + 188*z\/5 - 570 = 0.\nAnswer: 19, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c - 66. Let h be y(8). What is the common denominator of 51\/25 and 26\/h - 4\/(-20)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 10126048.\nAnswer: -1\/2531512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/179 + -167\/358. Let l be (1\/2)\/(2\/4). Which is the nearest to -4? (a) -0.1 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6)\/(633\/1266).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4*z**3 - 8586*k**2*z**3 - 3001*k + 2*z**3 wrt k?\nAnswer: -12*k**2*z**3 - 17172*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2562\/(-38430))\/((1\/(-28))\/((-6)\/(-8))).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 36 + 14 = b, 2*b - 17 = 4*t + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 252 = 3*a - k, -3*a - 5*k = -258. Let w = -31 + a. Let u = -35 + w. Calculate the common denominator of u and -27\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (0 + -1)*6. Let f = 6 + -4. Which is the nearest to f? (a) 0.3 (b) -8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 13 = 4*d - 0*j, -j = 5*d + 8. Let s(u) = -12*u**3 - u. Let t be s(d). What is the highest common factor of 26 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/9 and 173\/(-45) - 18\/81.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 385069109 and 0.3.\nAnswer: 385069109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*u**2 + 26*c**3*u + 21*c**3 - 2*c**2*u + 1888*c**2 - 2*c*u**2 + 2*u**2 wrt c?\nAnswer: 6*u**2 + 156*u + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 590\/(-8)*(-42772)\/(-53465).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -85 + 0\/(-2) - 8*1695\/(-678)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18444\/53795*100\/(-6)*27\/36\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbbb when four letters picked without replacement from gbbbgbggbbggb?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u**2 + 12*u - 11. Let b = -45 - -94. What is the remainder when b is divided by q(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 4. Let g be y(0). Let n(l) be the second derivative of -l**4\/12 + l**3\/6 + l**2\/2 + 32*l. What is n(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, 54, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/(-22)*(-12)\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84271\/72 + -1171. Calculate the common denominator of p and -149\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/99378 and -53\/14?\nAnswer: 695646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**2 - 413*l - 90. Let m be v(42). Solve 115*w = 47*w + m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppip. What is prob of picking 2 p and 1 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q, 2*s = 9*q - 12*q + 3. Is 8 a factor of 23904\/240*(-10)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, s: 2}. What is prob of picking 2 q and 1 s?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 27. Let d be m(14). Solve -4*q + 9*q = 2*a - d, 3*a = -3*q + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 - n**2 + 5*n**2)*(-1 + 1 + 3)*(-5 + 4 + 3)*(182 + 366 - 17).\nAnswer: -6372*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtwvtvmvwvttmwt. What is prob of sequence vtmt?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33965, -33491, -33017, -32543, -32069?\n\"Answer: 474*c - 34439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005256008 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2343 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwaaowowo. What is prob of picking 2 a, 1 w, and 1 f?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 times -0.1?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = h, 3*q - 20 = -2*q - h. Let i be -7560*(2 + (-2506)\/q). Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 4573723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2821*i**2 + 53308 - 53308 as q*i + o*i**2 + h and give o.\nAnswer: -2821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/((-91)\/(7098\/39))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324 - 16. Let j = 346 + u. Solve j*n + 17 + 7 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 234.\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q + 56. Let x be k(0). Suppose 31 = -3*p - x. Let v = -18 - p. Calculate the remainder when 152 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 643221*z + 137911084947\/2.\nAnswer: 3*(z - 214407)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 203*b + 473. Calculate h(8).\nAnswer: 2097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 - 705 = -6*y. Let o = y + -39. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331 + 339. Sort -4, -1, i, 2\/19 in descending order.\nAnswer: i, 2\/19, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 25*x**2 + 6*x + 77. Let y be k(-25). Does 1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*(-1 - 8 + 0) - j + 2*j + 0*j - 3*j - 2*j + 3*j + j - 3*j + 4*j + (-2 + 1 + 0)*(1 - 1 - j) - 4*j + 3*j + 3*j - 2*j + 4 - 4 + 3*j + 3*j - 7*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1419*k + 43 = -5*c + 1422*k, 3 = 4*c + k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -27, 21, -2150.\nAnswer: -2150, -36, -27, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) - 2*sqrt(1728))\/sqrt(4) - (((sqrt(3) - sqrt(48))*2 - sqrt(3))*5)**2.\nAnswer: -3675 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l + 264 = 3*j + 46*l - 89*l, -30*j + 284 = -32*j - 3*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 196?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.5 and 2424.\nAnswer: 2421.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6817.5 rounded to the nearest one hundred?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**6\/360 - j**5\/24 - j**4\/12 + j**3\/3 - j. Let w(c) be the second derivative of n(c). What are the prime factors of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.4 (c) -1\/3 (d) -0.8 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*i + 11491, -2*f - 4591 = -0*f - i. Let g = f - -6956\/3. Find the common denominator of 26\/9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -757.07 + 751. Let h = -0.07 - r. Let g = h + -6. Which is smaller: 1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -86\/5. Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -2\/237713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 11*t = -18. Let m be 2\/4*(t - 24\/(-4)). Put m, -10, 4 in decreasing order.\nAnswer: m, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzfotfftfftz. What is prob of picking 3 f and 1 z?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -56*c. Let b(o) = -41919*o. Determine b(s(w)).\nAnswer: 2347464*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-5) - 6\/(-10) - 2. Let b(c) be the second derivative of 0*c**3 + 0*c**4 + c + 3\/20*c**5 + 3\/2*c**2 + p. Differentiate b(a) with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1967112 and 173691.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294*y**3 + 0 - 3 - y + 1 - 277*y**3 + y**4 to the form z*y**3 + a*y**2 + h*y**4 + i + w*y and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.01 (b) 2\/19 (c) 5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76990, 77004, 77018, 77032, 77046?\nAnswer: 77060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 11*f**2 + f + 6. Suppose -49 + 79 = -5*w. What is the tens digit of r(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2\/15, 5\/2 in descending order.\nAnswer: 5\/2, 2\/15, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 3 (b) 0.3 (c) 3\/2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/2*133*129\/68628?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x*x*x\/x**(-4))\/((x*x\/(x\/(x*x\/x**9)))\/((x*(((x*x**(-7))\/x)\/x)\/x)\/x)) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(38\/19)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, 1954, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2+80.58\nAnswer: 82.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = 17. Let p(r) = -8*r**2 - 15. Let x(b) = 4*b**2 + 7. Let v(n) = 4*p(n) + 9*x(n). Does 23 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.48 at least as big as 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-63)*(-10)\/50.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 88*t + 1382. What is b(-25)?\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbbccbbcccbcy. Give prob of sequence ccy.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.021 and 4913.\nAnswer: 4913.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(1\/6)\/y))\/(y\/(y**(2\/17)*y)))**(-16\/7))**(15\/7) assuming y is positive.\nAnswer: y**(-3880\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16792 at least 3816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421 + -288. What are the prime factors of d?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsswysbybssbsbysy. Give prob of picking 4 b.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1161053?\nAnswer: -1161053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**19\/(c**(-3))**(-23\/5) assuming c is positive.\nAnswer: c**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 25. Let c be (-1)\/7*w\/5. What is the second biggest value in 0.01, c, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 3*j**2 - 2. Suppose 5*q = 20, -2*q + 7*q - 10 = -5*s. Let h be a(s). Solve 5*l - 27 = 3*v, -v - 19 = -h*l - 3*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -12, 1, 32, 87, 172, 293, 456?\n\"Answer: u**3 - 6*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 - 4*b + 12. Calculate k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 168\/(-140)*(-25)\/1335\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*h - 1074*h + r = -5, 2*h = -10*r + 46 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5 + 7*t**3 + 6*t**2 + 8*t**3 + 0*t**5 - 4*t**4 + 16*t**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10459 - 10472 - 57*o + 20875 as z*o + n and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*o - 17*o**3 + 301*o + 297*o.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 713889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 - -1.89. Let k = t - -3. Put -0.2, k, 2\/3 in increasing order.\nAnswer: -0.2, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (2\/6)\/((-10)\/(-60)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/21 + (1380\/70 - 5). Let s(v) = v**3 - 16*v**2 + 13*v + 41. Let q be s(u). Solve 0 = 2*p - 4*j - 0*j + 10, 0 = 5*p + 4*j + q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1\/(36\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75.5 - -10.5. Let t = -65 - y. Let x(w) = -6*w - 18. Let f be x(-4). Which is the third smallest value? (a) 0.2 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14792.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 26 = -12*u + 16*u, -34 = -4*u + 3*h. Let x(g) = -g + 6*g - 2*g - u + 1 - 4*g. Give x(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.5 - 6. Let u = -0.1 - h. Let w = 3.1 + -3. What is the biggest value in 0.3, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-17 - 1360\/(-35)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 72. Let r(g) = -g**2 - g + 13. Let w be r(q). Which is the third biggest value? (a) 1 (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*i**3 + 514418*i**2 - 21*i + 279414 wrt i?\nAnswer: -612*i + 1028836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*a - 6. Let j be (93 - 1)\/(a\/(-100000)). What is j rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:24 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103215.53 - 248.\nAnswer: -103463.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 92*f**2 + 526*f - 29. What is the thousands digit of u(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1346096, 10768904, 36345094, 86151356, 168264380, 290760856, 461717474?\nAnswer: 689210924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982 + 43*z + 860 + 121 + 33*z.\nAnswer: 76*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118693 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 17*q + 2*q - 39.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 6 + 15893*m - 15893*m - 9*m**2 + (-5*m**2 + 4*m**2 - m**2)*(-5 + 4 + 5) as b*m + h*m**2 + k and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1537276 by -13.\nAnswer: -118252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6075548 to three dps.\nAnswer: -0.608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/262339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 26. Suppose -4*n + 2*w + 1056 = 0, 4*n + 48*w - 1068 = 44*w. Calculate the remainder when n is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 12, p: 2, s: 1, i: 2}. What is prob of picking 1 i and 1 j?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29a41a5 - 20?\nAnswer: -29a4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - y - 2, 3*x + 26*y - 10 = 31*y. Solve 8\/5*h**4 + 0*h**3 - 2\/5*h**5 + x + 0*h + 0*h**2 = 0 for h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07915 rounded to 3 decimal places?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k**(2\/61))\/((k*k**(-4\/5))\/(k*k**(13\/2)*k)) assuming k is positive.\nAnswer: k**(6303\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/80*2\/(-45).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15159*t**3 - 4*t**2 + 2*t + 142?\nAnswer: 90954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29938 + 134518 = 412*w - 1802*w - 9294 for w.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3 - 6*p**2 - 12*p - 110. Find i, given that u(i) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134 + 5962*p + 5086*p - 134 to the form f*p + b and give f.\nAnswer: 11048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81795, 163627, 245507, 327453, 409483, 491615, 573867, 656257?\n\"Answer: 3*o**3 + 6*o**2 + 81793*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 2*b - 21*b**2 + 21*b**2 - 1 + (4 - 4 - 4*b)*(-108 + 7*b + 108)*(2*b - b - 4*b) in the form k + x*b**2 + j*b**3 + p*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/7 + 11174*a**2\/7 + 22306*a + 78022 = 0.\nAnswer: -5573, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.53 + 2.756. Let n = 0.126 - c. What is the closest to n in 11, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 20. Is 18 a factor of g*(99 - (-6)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2109 + 1533. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) - 2*-2*sqrt(76))*4 + 5)**2.\nAnswer: 2000*sqrt(19) + 760025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -63 in descending order.\nAnswer: 15, 4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let j = 82.8 + -209.9. Let q = j - -127. Which is the closest to 3\/2? (a) -4 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*a*c**5 + a*c**4*t + a*c**2 + 58*a*c*t - a*t + 51*c**3*t + 8*c**2*t - 2*c wrt c?\nAnswer: 5880*a*c**2 + 24*a*c*t + 306*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17381, -6, 1, -3, 5, -1 in descending order.\nAnswer: 5, 1, -1, -3, -6, -17381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11490 is divided by 1804?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1813, -3627, -5441, -7255, -9069?\nAnswer: -10883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/21 - 23\/(6440\/(-192)))\/(-12)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 - -0.01. Let p = 0.42 + 2.58. What is the closest to -0.1 in p, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11100010000010?\nAnswer: 11100010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4645?\nAnswer: 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 173 = 53. Let h be (-2 + -4)\/(2\/(-14)). Find the second derivative of 34*v - h*v + 1 + 6*v**d - 1 wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -11. Let v(i) = b + 8 - 7 - i. Let j be v(-3). Solve 5*z - 5 = -n, -3*z + 2 = -z + j*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -37. Let k = q + 42. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Let l be 1\/(-5) + (-172)\/(-10). Suppose -o = -1, o - l = -3*w + 29. Solve c = -b*c - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -799072.99 - -795322. Let j = b + 3706. Let i = 45 + j. Sort 2, -2, i in ascending order.\nAnswer: -2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203202 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34298 + -34428.944. Let f = 1.344 + a. Let q = f - -142. What is q rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 7\/1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.71515l?\nAnswer: 2715.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, t: 3, o: 4, d: 1}. What is prob of sequence ztt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.0567 rounded to the nearest integer?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 + 100 = -h. Let s be (-108)\/(-21)*h\/9. Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16150 is divided by 5383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4791*t**2 + 29*t - 483. Is f(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3132*y**2 - 3146*y**2 - 3 + 3 - 3*y - 225*y**4 wrt y.\nAnswer: -5400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i + 45*i - 312 = 0. Solve 2*u - i*t = -2, 35*u - 36*u + 5*t - 7 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 16 - 100. Calculate the lowest common multiple of q + (12*-1)\/4 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 2, k: 4, f: 8, b: 1, r: 3}. What is prob of picking 1 f and 1 x?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2691 and 20115524.\nAnswer: 181039716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 4 = a + 17*u, -3*a - 5*u = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 44 = l, -5*u - 1018 + 1073 = 3*l for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480, 971, 1462, 1953?\nAnswer: 2444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 18 = 4. Suppose -p = 5*n - 4306, 0 = -c*n + 5*n + 9. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, x: 1, r: 1, g: 1, c: 3}. Give prob of picking 1 r and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.49583 and 272.\nAnswer: 134.86576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 143*o + 110 + 139*o - 212 - 285*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 10*b + 5. Let g be x(-10). Let l = 4 - g. Let p = -3 + l. Let y(h) = h + 5. Give y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.97, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.739238kg to nanograms.\nAnswer: 3739238000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 108*n**2 + 885*n + 208. Give o(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-60020)\/(-260) - 2\/(-13) and 9.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5303*x**2\/2 - 699997*x\/6 - 22\/3.\nAnswer: -(x + 44)*(15909*x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7273840 is divided by 1231?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -357, -502, -629, -732, -805?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 2. Determine g(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = q - 0*q. Let u be (-10)\/(-25)*q\/(-8). Factor -u*b**2 - 1\/4*b + 0.\nAnswer: -b*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, -1\/113, -1\/14, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 26*v**2 - 20*v - 169. Let q be k(27). Solve 2*a + q = 6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**4 - 5 + 3 - h**3 + 4*h**2 - 3*h**2 - 2*h**4 in the form p*h**4 + k*h**2 + n + i*h**3 + o*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 2. Suppose -700 = -0*t + 20*t. Let f(a) = -a**3 - 33*a**2 + 73*a + 102. Let w be f(t). Let m(u) = -4*u - 2. Give w*m(r) + 2*c(r).\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 9*w + 18. Solve 0 = 4*f - 4*g + 24 - 56, -2*g + w = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1770, 1720, 1674, 1632, 1594, 1560?\n\"Answer: 2*j**2 - 56*j + 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11722, -11721, -11720, -11719, -11718, -11717?\n\"Answer: n - 11723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3616 = 5*o - 4*n - 3620, 4*o - 3*n = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - o**3 - 5*o**3)*(0*o - o + 2*o) + (-3*o + 2*o - o)*(-4*o**3 + 3*o**3 + 0*o**3).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 2*p - 7. Let f be i(-6). Let a(s) = -s**3 - 81*s**2 + 37*s + 3690. Let w be a(-81). Calculate the highest common divisor of w and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*316514.6\nAnswer: 633029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/9 or 5529.3?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468629456?\nAnswer: 2, 547, 739103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r - 649 + 594 - 240 - 251.\nAnswer: 19*r - 546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -6*u - 0*u - 0*u. What is the highest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f + 10. Let j(o) = o + 8. Let h be j(f). Suppose -2 + 3 = d + h*r, 3*d - 3 = -r. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - ((0 - -7) + (15 - 13) - 9)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/((-4)\/8*4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/(3\/15). Suppose 0 = -3*m - 5*n, -3*m + n - 23 = m. Let p = 8 + m. Is f smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2449*p**2 + 35256*p.\nAnswer: -4898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*(-3 + 7 + -3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336519 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-14)*((-6)\/328)\/((756\/32)\/(-9))\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 5*q - 4*l, 2*q + 3*l = 72 + 119. Suppose 0 = -20*f + 24785 - 23185. What is the smallest common multiple of q and f?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*r = -143, -r - 382 = -3*b + 7. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2070282*f**3 + f**2 + 5*f + 2987.\nAnswer: -12421692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*b**4 + 9245*b**3 - 1613052*b.\nAnswer: 396*b**2 + 55470*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9909.529266 + -0.01?\nAnswer: -9909.539266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r - 2)*(-1 + r + 1) - 2*r**2 - 2*r**2 + 3*r**2 + r**2 + r**2 - 9*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -911842527 minus 2.7?\nAnswer: -911842529.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*r**5*w**2 + 73*r**3*w**3 - 2*r**2*w**3 + 1816*w wrt r?\nAnswer: -3840*r**2*w**2 + 438*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f38 (base 16) to base 3.\nAnswer: -12100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359.6 - 360. Suppose 4*l - 2 - 6 = 0. Which is the nearest to l? (a) q (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -452 + 919 + 14*b - 456 + b**2. Give v(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1951.41677 to the nearest ten.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 262176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 a factor of 2518482429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)\/d**2)**(32\/7) assuming d is positive.\nAnswer: d**(-640\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51692, -206717, -465098, -826835, -1291928?\n\"Answer: -51678*n**2 + 9*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 1. Let j be 3\/1 + -7 - -7. Let a(g) = j*g + 1114 - 1114. Determine -5*a(s) - 4*p(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -272*u + 61203. Let x be m(225). Factor 2\/9*c**4 - 22\/9*c**2 - 8\/9*c**x - 16 + 44\/3*c.\nAnswer: 2*(c - 3)**2*(c - 2)*(c + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:33 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 - 3530330*a\/3 + 588388.\nAnswer: 2*(a - 882582)*(2*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 109. Suppose 2*a - c + 0 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63\/5 - 59\/5. Factor -8*a - z - 117\/5*a**2 - 81\/5*a**3.\nAnswer: -(a + 1)*(9*a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1.6?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -17*k - 5. Let m be c(-6). Suppose 5*n = a + 538, -2*n - 5*a - m + 323 = 0. Suppose -4*i = -0*i - n. Round i to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, 0, -2, 5.\nAnswer: -2, 0, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(12)\/sqrt(6)*5 + (-2*sqrt(600))\/sqrt(12) + 4)**2.\nAnswer: -70*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11760 (base 10) in base 9?\nAnswer: 17116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 459*b - 459*b - 18*b**3 + (2 + 4 - 3)*(0*b**3 - 3*b**3 + 0*b**3) + 3*b**3 + b**3 - 6*b**3.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -9*x**5\/5 + 591*x**4\/2 - 17160*x**3 + 365904*x**2 + 511104*x + 936. Factor g(l).\nAnswer: -3*(l - 44)**3*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -51 + (-4 - -8) - (1 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 42556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*w + 13*w + 168 = 0. Solve -12 = w*n - 0*n - p, 2*n = 4*p - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 28. Suppose 0 = -c*n + 4*n - 24. Let w be (0 - -1) + n + 2. Solve 0 = 3*l + w + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 156*p**3 - 1095*p**2 + 17*p + 37. Determine n(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 9704244.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180871 - -583071. Round d to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261734276 to the power of 1\/2, to the nearest integer?\nAnswer: 16178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*((-8)\/3)\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*n**2*q**3 - 2*n**2*q - 6911*n**2 - 3*n*q**2 - 10707*n + 8*q**3 wrt n?\nAnswer: -138*q**3 - 4*q - 13822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 3*g**3 - 3*g**3)*(-42*g - 78 + 78) + g**4 + g**4 + 3*g**4.\nAnswer: 89*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*10*-1)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435 - 390. Suppose -i = -5*n + 5*p, p = -3*p - 20. Sort -3, n, 6, -5 in descending order.\nAnswer: 6, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(-3*sqrt(700)*6 - ((-2 + sqrt(700))*6 + sqrt(700))))**2 + 2.\nAnswer: -155000*sqrt(7) + 10941346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24753550 and 950153.\nAnswer: 25703703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131452862*m + 125523009 wrt m?\nAnswer: 131452862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3200 - -3204. Let r(m) be the third derivative of 0*m**3 + 13\/240*m**6 + 1\/12*m**c - 8*m**2 + 0*m + 1\/9*m**5 + 0 + 1\/140*m**7. Factor r(k).\nAnswer: k*(k + 3)*(3*k + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, -6, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.05, -0.5, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376697344 divided by -188348672.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, a: 5}. What is prob of picking 4 j?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6080900.\nAnswer: 2, 5, 7, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and -1.3?\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/2)*o)\/o*o*o)\/(o*(o\/(o**(1\/4)\/o))\/o)*(o*o**(-2\/9))\/(o*o**3*o)*(o*o**(-2)\/o*o*o**(-4))\/((o\/o**(-1))\/o**(5\/3)) assuming o is positive.\nAnswer: o**(-389\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2 + 2173\/369?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**7)\/(a\/a**(-1\/3)*a))\/(a**(-1\/2)*a)**(20\/3) assuming a is positive.\nAnswer: a**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*l - 21 = 0, -23463*t + 23466*t + 5*l - 33 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 19 - 11 = 0. Let f(c) = c**2 - 9*c + 21. Let o be f(w). Suppose 0 = -3*z + o*a + 87, -a = 4*z + 4*a - 98. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -718.0719 - -718. What is c rounded to three decimal places?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.211, 6, 3, 1311?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/5, -1, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75984 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 p(n) = -2*n**2 - n + 13. What is p(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + 6*d**2 + 4*d - 2. Give c(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18991 or 18990?\nAnswer: 18990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w + 28. Let v(p) = p**3 + p**2 - 3*p + 2. Let x be v(-3). Let i be z(x). Sort 4, i, -3, 2 in descending order.\nAnswer: 4, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3. Let w be a(-1). Suppose 5*t = -w*q + 150, -10 = -3*q - 5*t + 82. Let l = 53 - q. Solve 4*h + l = -4*d + 8*d, 5*d - 25 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44322, 88484, 132482, 176316?\nAnswer: 219986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.205 - -177.595. Let m = u - 179. What is the smallest value in 3\/7, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3\/2 + 126*c**2 - 5535*c\/2 + 5043 = 0.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-8)*12\/9. What is the third derivative of x**2 - 7*x**b + x**2 - 2*x**3 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22599106169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*n**3 - 3 - n**2 + 3*n**3 + n**2 + (2*n + 0 + 0)*(n + 2*n**2 - n) - 44*n**3 - 24*n**3 + 18*n**3 + (n - 1 + 1)*(n**2 + 0*n**2 + 0*n**2).\nAnswer: -39*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {h: 1, v: 2, r: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:41 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(95)*2 + 2*sqrt(95)*-5)\/(-1*sqrt(320)*-6 + sqrt(320)*1*-1)*-1)**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = h, c + 12 = -0*h + h. Let v(z) = -16 + h + 15 + z. Let i be v(-8). Solve 0 = i*d + 3*a - 12 - 3, 5*d = 5*a - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 3, d: 5}. What is prob of picking 2 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + l = -2, 3*q - 2*l - 2 = -3*l. Solve 0 = 2*n + q - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24042.3499982 + -24044.65. Let w = 2.3 + f. Round w to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76\/570)\/(4\/(-6))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 14 = 4*o, -3*o + 0 = -5*i + 1. Let s = -3 - i. Let l be (s - -3) + 2 + 0. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23682 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14)*y**(-10\/11)*(y*(y*y\/y**(-20))\/y)\/y**0)**(1\/24) assuming y is positive.\nAnswer: y**(13\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)**(-1\/8)\/(u**0)**(-1\/3))\/((u**0\/((u\/u**(2\/3))\/u))\/(u**(-1))**(7\/2)) assuming u is positive.\nAnswer: u**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15992.\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 14) to base 8.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -217, -189, -139, -61, 51, 203, 401?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -101*b**2 + 14*b. Let x be d(12). Let u = x + 287577\/20. What is the common denominator of u and -79\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*y + 24 = -137*y - 4*m, -5*m = 5. Suppose q + 14 = s, 3*s = -4*q - q + 10. Put y, s, 1 in descending order.\nAnswer: s, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*f + 98*f - 62*f + 96*f in the form z*f + y and give z.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*a - 23. Let k be -87 + (a\/8)\/(1\/2). Let n = -106 - k. Which is bigger: -19 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -725, -521, -189, 271, 859?\n\"Answer: 64*j**2 + 12*j - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -26*5\/(50\/(-45))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 17 - 2 = 0. Is z <= 1\/1258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - i**3 + i**3 + (-4 - 4 + 3)*(-2*i + 2*i + 2*i**4).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233453?\nAnswer: 11, 19, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8931?\nAnswer: 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 - h**4 + 0*h**4)*((-2 - 1 + 0)*(-h + 7*h - 3*h) + 2*h + h + 0*h)*((3 - 3 + 2)*(3 - 4 + 0) + 8 - 5 + 0).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m + 35. Let v be c(12). Let t = 13 + -25. What are the prime factors of -1 + (0 - t) - v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788251 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73 + 34*m - 323 - 410*m + 16 + 4*m**2.\nAnswer: 4*(m - 95)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018161893.\nAnswer: 7, 37, 47, 83641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 150 + 162. Solve 7*u = 15*u - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6419444782 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120544 < 120542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 42*n**2\/5 - 196*n\/5.\nAnswer: -2*n*(n - 14)*(n - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8614*-12181.\nAnswer: -104927134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -4\/9, -16, 0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - (28 - -100))\/(-1 - 3)?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*r - n + 6*n - 4*n, 2*r - 108 = -3*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10986, 10824, 10666, 10512, 10362, 10216, 10074?\n\"Answer: 2*d**2 - 168*d + 11152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*x - 27373253 = -27368633 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43565 is divided by 873?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**3 - 5*w - 680 wrt w?\nAnswer: -3*w**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/6)\/(85\/(-2210)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 683651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1824 and 145\/643872.\nAnswer: 643872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -334*z**3 - 110 - 61 - 161 - 3 - 201 wrt z.\nAnswer: -1002*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -541, 1093, 2 in increasing order.\nAnswer: -541, 2, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 18*n**2 + n + 19. Let b be r(-18). Suppose -5*o - 5 = -2*s - 0*o, s + b = -o. Is -1\/10 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/15 + 44\/(-6). Let o(k) = -k**3 - 7*k**2 + 9*k + 7. Let v be o(a). What is the units digit of v\/(-3) + 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -19.8125\nAnswer: -0.39625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27146?\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 - 2*k - 4. Let x(l) = -l**3 + l**2 + l. Let u(q) = -b(q) - 2*x(q). Let p(z) = -3*z**3 + 4*z**3 - 1 - z**3 - z**3. Give 4*p(o) + u(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**3 - 11*b - 17. Let u = 104 + -110. Let j(h) = -3*h**3 + 4*h + 6. Determine u*p(v) - 17*j(v).\nAnswer: 3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - o - 589, 4*u - 604 = -o - 3*o. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*l + 24 = -185*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5\/7 - 4278*c**4\/7 - 41472*c**3\/7 + 964042*c**2\/7 + 2133072*c\/7 - 3051360\/7 = 0 for c.\nAnswer: -2119\/2, -20, -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -1352243.\nAnswer: -1217018.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 94099.702597 - -125.9?\nAnswer: 94225.602597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by -162057.\nAnswer: 115\/162057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -6*q - 51*l + 193*l - 3400, -4*q = -4*l + 80 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2214*f**3 - 1118*f**3 + 6*f - 1112*f**3)*(-2*f + 2*f - f + (5*f - 4*f + 0*f)*(3 - 5 + 4) - 2*f + f - f + (2 + 1 - 1)*(-3*f + 0*f + 4*f)).\nAnswer: -16*f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = -h. Suppose -2*y + r = 10, -11*y + 6*y + r - 25 = 0. Let t = -6 + 5.8. Which is the closest to y? (a) t (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -4*(sqrt(153) - 1*sqrt(153)) + (sqrt(153) - -3*(sqrt(153) + sqrt(153)*-1)))\/((sqrt(81) + sqrt(81)*1)*4))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*f**2 + 31095*f - 929290.\nAnswer: 5*(f + 1273)*(5*f - 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969, 1942, 2915, 3888, 4861?\nAnswer: 5834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 2)\/(1\/(-4)). Let p = k + 24. Solve 4*w + 0*w - p = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**(-10)*g)*g**(-18\/7))**(-2\/135) assuming g is positive.\nAnswer: g**(-44\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(52)\/sqrt(2) + sqrt(26) - sqrt(26)))\/(sqrt(72)*-2).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6 + 2\/3. Suppose 0 = -0*i + y*i. Solve 4*q - 5*q = -3*w + 4, -w + 3*q + 4 = i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -915 and 71972?\nAnswer: -65854380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, w: 5}. What is prob of sequence www?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960316.\nAnswer: 2, 31, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 981566441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 331943282*l**2 + 36312653 wrt l?\nAnswer: 663886564*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, f: 7}. Give prob of sequence ff.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 3. Let x = 2.0231 + -0.0781. Let t = -0.055 - x. Which is the third smallest value? (a) 0.18 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m + 50*m - 65*m + 1680 = 0 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y)**31\/((y\/y**(2\/3))\/y)**(-4\/15) assuming y is positive.\nAnswer: y**(-1403\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52681, 52589, 52497, 52405, 52313, 52221?\nAnswer: 52129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 + 26 = -84*q - 128 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 19, 4\/7, -0.2, 5\/3, 1.4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 16*q**2 + 10*q. What is the hundreds digit of p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220444180.\nAnswer: 2, 5, 61022209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2378 + -2373. Suppose -2*x = x - 6. Let w(p) = 15*p**x - 12*p**2 + 7 - 6*p**2. Let q(k) = k**2 - 3. Give z*q(o) + 2*w(o).\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 150775 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.69? (a) 20 (b) -0.67 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/38, -3\/23, -0.0309.\nAnswer: -3\/23, -0.0309, 45\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -167\nAnswer: -4\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {q: 2, j: 1, c: 1, n: 2, u: 2, a: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29241362797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293735 (base 12) in base 10?\nAnswer: 690521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6557 and 733056.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/4 - 74*y - 3377\/4 = 0 for y.\nAnswer: -11, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -39. Suppose -2*i = -8*w + f*w, 2*w = 3*i. Suppose w = -13*l + 11*l. Solve -4*m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*g = -96*g + 65 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3044 - 0?\nAnswer: -3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 7*o - 8. Let d be a(4). Let v be (-625)\/(-15) + d\/(-6). Solve -4*b + 31 = -3*q + 6*q, -v = -5*q - 4*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:56 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 839 = 929 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjjnnnnnnnnjnnnjnnn. Give prob of picking 2 j.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 628664275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 + 4*r**2 + 3*r - 4. Let i be x(-2). Suppose -6*j - i = -4*j. Let n be 52 - (1\/(-3) - 65\/j). Calculate the highest common factor of 48 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275148 is divided by 137536?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -1, -5 in increasing order.\nAnswer: -9, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 402?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvpnvec. Give prob of sequence npj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1234 and 4399210.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2780 - 1771. Suppose 0 = 3*k + x - 3592. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.72 - -18.12. Let u = l - 17. Which is the second smallest value? (a) u (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.2 in -15, 198.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -4*x - 3*q + 9, 351*x - 337*x + 4*q = -272 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4034839?\nAnswer: 179, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddshddddhdd. What is prob of sequence sh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veveven. What is prob of picking 1 e, 1 n, and 2 v?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4289096 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651 divided by 15.\nAnswer: 217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110110010011111 + 0?\nAnswer: -110110110010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 37.99. Let t be (115\/(-20) + 6)\/((-1)\/1). What is the closest to t in -3, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + o - 2)*(3*o + 2 + 2 - 4*o)*(2*o + 4*o - o).\nAnswer: -5*o**3 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kycyi. What is prob of picking 1 k, 1 y, 1 c, and 1 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58801 (base 12) to base 2.\nAnswer: -11100111110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a - 2. Let g be p(1). Sort 1, 16, g in descending order.\nAnswer: 16, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 - 10521 + 3504 + 15*t**2 + 3512 + 3505.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-5 + 4)*1). Solve -5*r = -3*l + 32, -l - 12 = -f*l + 4*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -1\/46, -1\/4 in decreasing order.\nAnswer: 0.4, -1\/46, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 349, 464, 623, 802, 977, 1124?\n\"Answer: -4*s**3 + 46*s**2 + 5*s + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201476.\nAnswer: 2, 11, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + 1 - (-4 - -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let h = 11\/32 + 5\/32. Is h at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 4\/3, -3, 6, -3\/5, -293?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9107, 3\/7, 10 in decreasing order.\nAnswer: 10, 3\/7, -2\/9107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5684177 and 24122?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3351*k + 2*d - 5 = 3348*k, -3*k + 9 = 3*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:35 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1979\/(-276) + (-140)\/(-1610) and 93\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -360*y + 185*y + 184*y + 5. Let w be m(-2). Let p(r) = -3*r - 17. What is p(w)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/(-15) - 3)*12. Let s(f) = 3*f**3 + 3*f**2 + 4*f + 6. Let y(q) = 5*q**3 + 5*q**2 + 7*q + 11. Give l*y(b) + 7*s(b).\nAnswer: b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210009952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 34*m**3\/5 + 42*m**2\/5 + 22*m\/5 + 4\/5.\nAnswer: 2*(m + 1)**3*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/(-10) - 5*-1. Suppose -35 = -3*h - 5*g, 0*h - g - 6 = -2*h. Solve 0*y + h*y = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhupfnpu. What is prob of sequence hf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47683259977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 401*l + 3388. Calculate y(-8).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -300, -1068, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/3 + (-1)\/3. Calculate the greatest common factor of 44 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from ykpkjhkeeep?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 227 = -u, -4*h = 4*u - 916. Calculate the remainder when u is divided by (841 + 4)\/13 + 12.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a4114 (base 11) to base 10\nAnswer: -312921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123457909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15017, -15019, -15021, -15023, -15025, -15027?\n\"Answer: -2*h - 15015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 - -180. Let w = 1376 - l. Is w a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 3*c + 10*c + 9 - 4*c. Let l be t(-9). Suppose -2*r + 3*q + 33 = l, 3*r - q = q + 52. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 a factor of 230011560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4880476 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-120297)\/(13 + -9 - 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2) + 3\/(-2). Suppose w + v + 5 = y, -6*w - 1 = -w - v. What is the units digit of 3\/6*w*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 28028.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -105, -187, -323, -525, -805, -1175, -1647?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5881.33 - 5480. Let m = z + -385.6. What is m rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 272062296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11623288021 - -11623287854.000000075. Let w = 167 + i. What is w rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7030625 (base 8) to base 12.\nAnswer: 751331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*h + 14. Suppose -b + 14 = h*b. Solve 0 = -2*m - b*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 = 10. Does 14 divide n + 2 - 28\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114331 (base 5) to base 2\nAnswer: -1000011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121201001121 (base 3) to base 9\nAnswer: 551047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*x - 5 = -3, s + x = -7. Suppose 2*v = -4*i - 16, -4 + 19 = -5*i. Let r = -10.9 - -4.9. Which is the nearest to r? (a) s (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 68. What is the nearest to j in 1, -0.6, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -1\/54 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -8*m**3\/3 + 2*m**2 - 3. Find the second derivative of r(p) wrt p.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w - 2*w)*(122*w + 50 - 50) + 0*w**2 + 4*w**2 + 0*w**2.\nAnswer: -362*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.9. Let r = -178.6 - -145. Let m = r - -32. What is the smallest value in n, 2, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l. Suppose l*b = -5*b. Let g = b + 3. Solve 4*y - 28 = -g*q, -3*y + 32 = 2*q + 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2573597616 - -35238\nAnswer: -2573562378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1330 and 4123950.\nAnswer: 28867650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((6\/14)\/(112\/(-78008)))\/((-6)\/8) is divided by 85.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34c7 + -3e?\nAnswer: 3489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46117, 46104, 46085, 46060, 46029?\n\"Answer: -3*x**2 - 4*x + 46124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v - 10. Give j(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11013 (base 4) to base 8\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 25 = -49 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2)\/((16\/8)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 19954*u**2 + 19952*u**2 + 8*u + 7*u - 1 - 5*u**4 to y*u + x*u**4 + p*u**3 + l + m*u**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.44, 0, -0.3 in descending order.\nAnswer: 0.44, 0, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvysgyvygsvv. Give prob of sequence yyyt.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 490*h - 384. Let i(n) = 2*n. Let t(l) = -6*i(l) - z(l). What is the derivative of t(p) wrt p?\nAnswer: -502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14809071575240 + 0.1?\nAnswer: 14809071575240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.12 + 0.37. Round s to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - j + 21 = 0, 18 = -t - 4*j. Let b = t + 8. Solve -x - b*x = -9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 g when four letters picked without replacement from {d: 2, g: 3, h: 4, i: 1, x: 7, c: 1}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 7 = 0. Let x = -6 + h. Let y = 44 + -130\/3. Is y smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:58 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2322, 109, -35 in ascending order.\nAnswer: -35, 109, 2322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 17*l**5 - 6 - 25*l**5 + 48*l**5 + 5*l**5 - l**5 + l**5 - l**5 + 2*l**2 + l**5 - 2*l**2 + (-l + 2*l + l)*(-2*l**4 - 3*l + 3*l) - l**2 + l**2 - 2*l**5.\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 5*j - 13. Suppose -5*t = -4*g + 18, 2*t - 3 = 5*g - 0. Let p be q(t). Let z = -27 + 109\/4. Put -4, p, z, 1\/3 in descending order.\nAnswer: p, 1\/3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 37. Let c be z(17). Let o = c - -89. Is (-7755)\/(-4) + (2 - (-28)\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7620438*-0.4\nAnswer: -3048175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + -1))*1 + sqrt(20)\/sqrt(4)*2)**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11054673 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + k + 72. Calculate the remainder when 834 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*l = -30. Calculate the greatest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/63)\/(-10*16\/(-140))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10051, -40218, -90497, -160888, -251391?\n\"Answer: -10056*a**2 + a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + a5?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51245*c = -51250*c + x + 41, -c = x + 47 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182615.9769s to weeks.\nAnswer: 0.30194440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w - w - 25*w + 0*w - 13*w + w + w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 3*-1*(-21)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -466 - -495. Suppose -5*y - 5*l = 0, 5*l - 7 = 4*y + n. Which is the biggest value? (a) 4.1 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 + 0*i**2 - 3*i**2)*((2 + 2 - 3)*(-6 + 2 + 2) + 0 + 2 - 1 + 74 + 124 - 137) to the form o*i**2 + a + z*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19132 + -19124. Let u(i) be the first derivative of 0*i**5 + 0*i**4 - 11 + 0*i**2 - 13\/6*i**6 + 0*i - h*i**3. Find the third derivative of u(x) wrt x.\nAnswer: -780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r - 7. Is 11 a factor of h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -0*o - o + 3*a, -o + 2*a + 74 = 0. Let v = o + 13. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18061 = -5*d + 5*c - 17921, d - 5*c = 24 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 9 = -5*i - 3*s, -4*i + 114 = 6*s. Determine z so that 1941\/8*z**2 + 225\/8*z**4 + i - 549\/4*z - 165*z**3 = 0.\nAnswer: 3\/5, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose a = n - 4*p - 43, -3*n + 3*p - 99 = -6*n. Suppose 0 = 4*l - n - 13. What is the lowest common multiple of l and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/18 and (-693)\/(-140400)*404 + -2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 12*k**5 - 278*k**4 - 390*k**3 + 3620*k**2 - 432*k - 1152 = 0.\nAnswer: -4, -1\/2, 2\/3, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 6*l**2 + 6*l - 10. Let k be c(-7). Let t = -2 - k. Find the common denominator of -1 - t\/(12\/61) and 61\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a*f = -4*f. Suppose 0*l**2 - 1\/4*l**3 + f + 0*l = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -313 - -8769\/28. Let h = t - -11\/56. Let g = -4 - -4.1. What is the nearest to g in 2\/13, -0.1, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -110111?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - w + 1. Let i(h) = h**2 + h - 1. Let c(d) = -i(d) - z(d). Let a(v) = 1. Let y(p) = -p - 1. Let x(r) = -a(r) - y(r). What is c(x(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 47. Suppose -9*t + n = -6*t. What is the units digit of t + ((-24)\/3)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4 - 76*n**3 - 3256*n**2 + 6732*n - 3402 = 0.\nAnswer: -27, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 393\/(-77552)*(2\/(-3))\/(2\/4)?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 47. Suppose -2*r = -b*r + 260. Suppose n + 2*n = -5*y + r, 5*y = -2*n + 14. Solve -5*m = n + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 336?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -25*u - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-4)\/(-748)) + -2. Suppose o = 48*r - 43*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127 + -734735?\nAnswer: -735064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4 + 1 + d**2 - 13 - 4*d. Let u be z(12). Suppose 5*v + 8*y = 4*y + u, 48 = 3*v - 3*y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**(-1)*v*v*v)**(-24))**(-1\/5)\/((v*v*v\/(v\/((((v*v**(-1))\/v)\/v)\/v)*v*v)*v)**36*((v**1*v)\/v)**(-25)) assuming v is positive.\nAnswer: v**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4876628 times -2?\nAnswer: 9753256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-2)\/(-3)*1. Let z = 157 + -105. List the prime factors of z - 1*(j - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/12*(-4 + 0). What is the units digit of -1*(p + 20\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 40870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/40)\/((-8)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1222 + 7?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16911 + -16629. Solve -a*l + 7 = -289*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.7, 3, 2, -2\/345, 0.5?\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21328702*x**2*z**3 - 28*x + 32731*z**3 + 1 wrt x?\nAnswer: -42657404*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (1 - -248) - 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 5*k + 4*p, -5*k + 2*p = 7*p - 150. Let b(n) = 76*n - 8269. What is the remainder when k is divided by b(109)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*t - 3*t + 8, -t - 14 = -5*k. Let d be ((-32)\/2 - -2)\/(-2). Let h(p) = -2*p**2 + 14*p - 3. Let n be h(d). Put t, n, -2 in increasing order.\nAnswer: n, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 64*z**2 + 314*z - 13006. What is b(-71)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m**2 - 50*m + 262. What is o(6)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -15.3321036.\nAnswer: 6.13284144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-49)\/(-56)*12\/126.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 13764519623?\nAnswer: -13764519623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + -10 - (2 - -4). What is the nearest to -20 in -4, l, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-90) - (1180\/(-90) + 13). Factor 0*t + j - 3\/5*t**2.\nAnswer: -3*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 3:13 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) 829 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120120210100 (base 3) in base 5?\nAnswer: 34304011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23044 = -60*r + 74*r. Calculate the remainder when r is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349423 is divided by 59.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1168527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {k: 3, x: 4, l: 1, u: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 275594873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 0*r**2 + 1\/3 - 2\/3*r**3 - 1\/3*r**4 + 2\/3*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 369 = -4*x. Suppose x*m - 40*m = 65. Calculate the remainder when m is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two ninths of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14*m - 5. Let k(s) = -7*s - 2. Calculate 4*a(g) - 9*k(g).\nAnswer: 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1231819*v**6 + v**2 + v + 91981?\nAnswer: 147818280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*f**2*l**3 + f**2*l**2 + 300*f**2*l + 3*f*l**4 + 2*l**4 wrt l?\nAnswer: -366*f**2 + 72*f*l + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1523*a + 26727 = -169*a - 43681 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1503840 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -53*m**2 + 15 + 70*m**2 - 308*m**2. Let s(k) = 1892*k**2 - 96. Let r(y) = -32*i(y) - 5*s(y). Let q(c) = c. Determine q(r(u)).\nAnswer: -148*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 11704 = -5474. What are the prime factors of t?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -39*z + 37*z. Is -2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119.5 + 119. Sort 0, -3, 0.02, a in decreasing order.\nAnswer: 0.02, 0, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11709, 11744, 11779, 11814, 11849?\nAnswer: 11884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -884\/1387?\nAnswer: -884\/1387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15. Let n be -10 + g*2\/2. Let o be (n\/(-14))\/(1\/10). Solve -3*a = -a, -f - 5*a = -o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 12\/9*-3. Suppose -4*c + 3*z + 33 + w = 0, -28 = -3*c - z. Determine v so that -3 + 4*v**2 + 6*v**2 + c*v**2 - 16*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 4827. Let c(h) = 11*h. Give c(z(i)).\nAnswer: 22*i + 53097","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + 4*f**2 - 4*f**2 + 6*f**2 + 2 + 11*f**2 - 3*f**3. Let i be y(-17). Solve 5*l = -i + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/5, 12, -3\/2, -6 in increasing order.\nAnswer: -6, -11\/5, -3\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106*a**3 - 107*a**3 + 104*a**4 - 248*a**4 - 4 - 244*a**2 - 68*a + 12*a - 123*a**3.\nAnswer: -4*(a + 1)**2*(6*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6569, 13136, 19703, 26270, 32837?\n\"Answer: 6567*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -8. Let m(p) = 5*p. Let o(k) = -11*k + 1. Let s(y) = r*m(y) - 3*o(y). Calculate s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*s**2 - 25*s**2 - 41*s**2)*(2*s - 4*s + 3*s).\nAnswer: 54*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69253 and 9729?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (0 - 0 - (39 - 29)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**39*b)\/b**(-44) assuming b is positive.\nAnswer: b**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 25 = -p, -15 = -1099*p + 1104*p - 2*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/2 + 7*j**3\/6 + 2*j**2 + 46*j. Let o(v) = 7*v**2 - 7*v - 5. Give -4*o(y) - 5*t(y).\nAnswer: 2*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/44115717 and 29\/45?\nAnswer: 661735755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20441 or 2971?\nAnswer: 2971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, 6\/11, 36 in ascending order.\nAnswer: -13, 6\/11, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 7:31 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -31. Suppose 3*p + 2 - 14 = t, -4*p + 2*t = -n. Which is the third biggest value? (a) p (b) -0.7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4 (b) 106 (c) 1 (d) 2\/3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 14 + 13. Let q(l) = 147*l**2 + 1 - 147*l**2 + 2*l - l**3 + k*l. Let i(o) = o**3 - o. Calculate -5*i(u) - q(u).\nAnswer: -4*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 3*i**2\/2 + 4*i - 1. Let q(f) = 7*f + 9. Let a = -12 + 27. Let d(m) = a*x(m) - 6*q(m). What is the derivative of d(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -119 (b) -1 (c) 23 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -321*h + 12841. Let n be g(40). Let a = -4 - -2. Sort 2, a, -3, n.\nAnswer: -3, a, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*-1 - sqrt(190)) + sqrt(190) + sqrt(190))*2)\/(2*sqrt(360) + sqrt(360) + sqrt(360)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d. Let h(c) = -1007738*c**2. Determine h(t(x)).\nAnswer: -9069642*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -457707, -1830917, -4119603, -7323765?\n\"Answer: -457738*v**2 + 4*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 6. Let i be f(6). Suppose 4*l - 31 = -y, 5*y + i*l = 3*l + 40. Calculate the remainder when 41 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19.33 and 6930.\nAnswer: 6949.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -1. Let v(u) = u**3 - 3*u**2 - 4. Let a be v(3). Let s = t + a. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 6.1 (c) 1.1 (d) 2\/221\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1058 + 10637\/10. Suppose -4*p + 4*m = -3*p - 1575, 5*p + 2*m = 7985. Let x = 15981\/10 - p. Find the common denominator of x and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12710762?\nAnswer: 2, 6355381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 425529 and 3?\nAnswer: 1276587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/5 + 501*n**3\/5 + 21963*n**2\/5 + 282339*n\/5 + 1107594\/5 = 0. Calculate n.\nAnswer: -106, -43, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-20))\/((-42)\/15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.09 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1103208436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**3 - 2*q**2 + 10*q + 9. Let g(o) = -3*o**3 - 3*o - 1. Let d(l) = -4*g(l) - u(l). Let j(v) = v**3 + 2*v**2 + v - 6. Determine -6*d(x) + 5*j(x).\nAnswer: -x**3 - 2*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 379 = -3*u + 31*r, 4*r - 532 = -4*u. Suppose -3*y + 2*f + 87 = 7*f, f - 123 = -5*y. Calculate the smallest common multiple of u and y.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z - 9. Let h(k) = 5*k - 4. Let s(i) = -9*h(i) + 4*x(i). Let b(t) be the third derivative of -t**5\/30 + t**2. What is b(s(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 1 = 1986*d - 1983*d, -3*o = 4*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/11 + (-5 - (-2724)\/528)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2936 - -358a0?\nAnswer: 32a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 18071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8772 by 51.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239362 is divided by 4126.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108901 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 20*x = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9784973 and 1199.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3*m**2\/2 + 10. Let i(u) = -1. Let r(t) = 4*t**2 - 4. Let j(y) = 4*i(y) - r(y). What is p(j(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100240 + 2111?\nAnswer: 102401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 26226406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17784 by 4446.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 13*t - 24. Let b be f(-11). Let j be ((-2)\/4)\/((-2)\/(-4)). Let g be b - (3 - 12) - j. What is the greatest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (45\/12)\/(-15)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*l - 56, 2*l = 1747 - 1727 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 21*l + 20. Does 24 divide i(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = 13. Let k be ((-1000)\/75)\/(l\/1410). What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m + 1348 = 1068 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - b - 1, -q - 1 = 5*b. Suppose -3*z + 27 = 3*p, 0 = 2*p + q*z - 8*z. Let r = 4 + -2. Calculate the least common multiple of p and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.576692ms in nanoseconds?\nAnswer: 576692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(117)*1)**2.\nAnswer: 12*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 6669268*v - 6 + 19.\nAnswer: -6669268*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 4*p + 18259*p**2 - 2*p - 2*p.\nAnswer: 18259*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*s**3 - 1598*s**2 - 8660*s - 850.\nAnswer: 2*(s - 85)*(s + 5)*(10*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2840 = -7*w - 13*w. Let n = -98 - w. Calculate the greatest common factor of 44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4886 = -2*a, 2*r = 3*a + 6*r - 7334. Suppose -7*h = -h - a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 70439?\nAnswer: 21131.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, and 1 p when three letters picked without replacement from {h: 1, p: 2, b: 3, v: 1, f: 1, o: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 2447848*c - 374497489444.\nAnswer: -4*(c + 305981)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -34976345.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 965 = -959, 0 = -3*p + 5*c + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c**3 + 6*c**2 - 17. Let g be (-9)\/((-35)\/10 + 5). Let x(o) = 5*o**3 - 2*o**2 + 6. Give g*t(f) - 17*x(f).\nAnswer: 5*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*x**5 + 11*x + 9*x**5 + 0*x + 9*x wrt x?\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + t + 15. Let v be p(0). Let k = -11 + v. Factor -26*r**3 + 0*r**k + 10*r**4 + 30*r**3.\nAnswer: 2*r**3*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3141424424 + 1?\nAnswer: 3141424430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 10:36 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09379 + -0.50621. What is the closest to -1 in -151, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5428 + -5414. Let y(w) be the first derivative of 0*w - 4\/5*w**5 + 0*w**3 + 6*w**2 - z + 0*w**4. What is the second derivative of y(t) wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (6 + -3 + 2 + -11 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*136\/(-340)*-4\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*p - 6*p + 4*t, -t = -5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 694 + -165. Let f = q - 531. Let u(n) = n**3 - 2*n**2 - 2*n + 3. Let r be u(2). What is the closest to r in -3, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 759 + 2*n**2 - 759 - 2*n**2 + n**3. Let m(l) = 12*l**3. What is m(s) - 8*v(s)?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2\/9 - 140*m\/3 + 1098 = 0.\nAnswer: 27, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/128)\/(72\/48)*(-8)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -6 - -2) + -2. Let k be 1 + 1 + (-3804990)\/n. What is k rounded to the nearest ten thousand?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2351674us to minutes.\nAnswer: 0.00000003725279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -167*c - 18. Let x be d(-1). Let k = x + -145. Solve -2*n = k + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15223330, -30446662, -45669992, -60893320, -76116646, -91339970?\n\"Answer: d**2 - 15223335*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.11416 * -20\nAnswer: -2.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*s**3 - 72285*s**2 + 72239*s**2 - 3150 - 3*s**4 + 0*s**4 with respect to s.\nAnswer: -12*s**3 - 18*s**2 - 92*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 16*r**3 - 55*r**2 + 38*r.\nAnswer: r*(r - 2)*(r - 1)*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:25 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 + 8*g + 1. Let z be k(5). Let t(r) = -6*r + 21*r - z*r. Let c(h) be the second derivative of -2*h**4\/3 + 7*h. Determine c(t(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**2*o + 2*m*o + 194238*m + 56271859*o wrt m?\nAnswer: 2*m*o + 2*o + 194238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104600284 divided by 4111.\nAnswer: -25444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 3, x: 3}. Give prob of picking 1 n and 1 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i - 9. Let q be r(-5). Is (6 + q)*(-623)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246 - 52?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -195761.4295 rounded to the nearest one hundred?\nAnswer: -195800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in -2, 0.5, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -337*n**5\/60 - 37*n**3\/2 - 338*n**2. Find the first derivative of w(k) wrt k.\nAnswer: -674*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -727 >= 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/613, 0.3, -5\/2, 2\/13 in descending order.\nAnswer: 0.3, 2\/13, 24\/613, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464837469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*j**2 - 21*j**2 + 10*j**6 - 29*j**2 wrt j.\nAnswer: 1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18907 - 18849. Let y = 16 - 11. What is the closest to -1 in a, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1846 * -0.5.\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*m - 4*m - 8, -4*b + 5*m + 286 = 282 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b8330 (base 12) to base 3\nAnswer: 110022111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13314*g + 93123. Give n(7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 11:07 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 6:36 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6196865 is divided by 3098428.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -18. Suppose o*h + 3*h = -123. Let w = -22 - h. Calculate the remainder when 36 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/651630 and 68\/4089.\nAnswer: 30626610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 11. Let h be t(-7). Let z = h - 53\/2. What is the nearest to 1\/2 in 4, z, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - k**3 - 3*k + 8*k**2 - 6 - 7*k. Let j be g(-9). Suppose 4*c - 240 = -4*u, -c + 4*u + 200 = j*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x**2 + 2*x + 2. Let t be n(-1). Which is smaller: t or -65\/261?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 12:45 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -33, 9368 in increasing order.\nAnswer: -33, 2, 9368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.7 - -24. Let g = -0.3 + z. Let v be (-40)\/18 - (-1 - 1). Which is the nearest to g? (a) 1\/2 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 113230, 225454, 337676, 449896?\n\"Answer: -f**2 + 112227*f + 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -2\/7 (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -33, -120, 36, 10 in increasing order.\nAnswer: -120, -33, 1, 3, 10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008273743 rounded to 5 dps?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -61 - 83. Calculate the greatest common factor of z and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-1)\/(30\/9)). Let n be (-8)\/14 + (-138)\/(-21). Is (r\/n)\/(1\/327) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 342*f\/7 - 3816\/7.\nAnswer: -2*(f + 12)*(f + 159)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34727 is divided by 511?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/90 and -91\/162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -8*w + 4*w. What is the remainder when (w\/6)\/((-1 + 6)\/45) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1512 and 384426?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m - 0 + 24. Suppose -m*z - 178 = -l, -l + z = -2*z - 177. Calculate the common denominator of -1\/18 and (-1)\/(-3) + 687\/l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 5396?\nAnswer: 48564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 11*s**2 - 12*s + 6. Let x = 16 + -28. Let u be d(x). Suppose u*a - 11*a = -15. Solve l = -0*l - a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 35*o + 30*o + 10, -o = 3*y + 16. Sort -4, 14, -3, y in decreasing order.\nAnswer: 14, -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 + h + 5. Give m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 0.1?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*a + 277 = 0, -256*r + 253*r + a = -156. Solve 49 = -2*w + r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/8)\/((907207\/(-436))\/287).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751 > 3751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 5 (c) 2593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -4\/3, 1\/4, 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 7. Let s be f(2). Suppose -s*z + 4659 = 2*b, 3*b - z = 5074 + 1872. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -0.053237?\nAnswer: -0.053237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = -3*r, -4*r = -3*v + 7. Let x(z) = -6*z + 1. Let q(w) = 55*w - 19. Let c(i) = -q(i) - 8*x(i). Let s(a) = a - 1. Give v*c(j) + 6*s(j).\nAnswer: -j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/z**8)\/z)\/z**(-3))**(-38)\/(((z**(-7)\/z)\/(z*z**(3\/2)))\/(z*z*z**(-4)*z*z*z**(-3))) assuming z is positive.\nAnswer: z**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 + 0.76. Put -1, 0.2, 5, c in decreasing order.\nAnswer: 5, c, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/6 + 5*g**3\/3 - 4*g**2 - 22*g. Let p be c(-6). Solve 0 = w - p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -1253, -3324, -6261, -10064?\nAnswer: -14733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -15. Let k(h) = -1. Let m(u) = u - 3. Determine g*k(o) + 2*m(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 1821*l**5\/20 + 259*l**4 - 3754*l**2. What is the second derivative of d(m) wrt m?\nAnswer: 10926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:47 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/(1\/21*(-2870)\/(-1148)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36442, 72887, 109332, 145777?\n\"Answer: 36445*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11001031220 + 3?\nAnswer: 11001031223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*h**4 + 9\/2*h**2 - 111\/4*h**3 + 0*h + 0 - 27\/4*h**5.\nAnswer: -3*h**2*(h - 6)*(3*h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 7*o**2 + 9*o**2 + 33*o - 3*o**2 - o**3 - 29. Let y be r(14). Calculate the greatest common factor of 287 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9578475 plus -1.4681?\nAnswer: -9578476.4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i, -x + 4201 = i + 325. Calculate the remainder when x is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let o = 29 + -33. Let l be (3 + -6)*o\/12. What is the nearest to l in 1, 0, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n - 520 + 100. Let u = -40 - n. Suppose 3*p + u*r - 4*r = 79, r + 5 = 0. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1\/4, -3, -1\/158 in decreasing order.\nAnswer: 1\/4, -1\/158, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -180257417488\nAnswer: 180257417479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-3 + 1.\nAnswer: -9*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*j - 88, -5*p + 106 = -p - 2*j. Let n = 1 + 1. Solve -n*t + p = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + h = -h + 1, -3*q - h = 7. Let l = 5 + q. Let v(o) = 2*o**2 - 3*o + 1. What are the prime factors of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 77. Let g(t) be the first derivative of -2\/3*t**3 - 2 + n*t + 0*t**2. Differentiate g(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -370, -1, 9, -2, -1274 in increasing order.\nAnswer: -1274, -370, -2, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431.535 nanometers in micrometers?\nAnswer: 2.431535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8981226 to the power of 1\/2, to the nearest integer?\nAnswer: 2997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/27))**(1\/25) assuming z is positive.\nAnswer: z**(2\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 79*l**2. Let m(z) = 11*z**2. Give m(t(p)).\nAnswer: 68651*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97 + 1?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 - -19505334.761.\nAnswer: 19505934.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4881*k**3 + 4*k**2 - 2*k + 2784291 wrt k?\nAnswer: 14643*k**2 + 8*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1568*w + 591*w - 2 - 1940*w + 1.\nAnswer: -2917*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3592.\nAnswer: -1\/898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1097, -4, -46, -3, 3, 5 in increasing order.\nAnswer: -1097, -46, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.9 - -16. Let w = 13929\/175 - -178\/25. Let i = w - 87. Which is the smallest value? (a) -0.3 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5320, 11326, 17344, 23380, 29440?\n\"Answer: g**3 + 5999*g - 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -354, -515, -676, -837?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370018870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*s - 4*m - 16, m = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399656282.\nAnswer: 2, 3, 7411, 31477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2436\/35 + (-2)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = i - 23, 23*x + 11 = 26*x - 5*i. Solve 0 = -3*y + 15, 16*f + x = 14*f + 3*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1434 - -105?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3 = -4*b, 28 = 4*b + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -6 + -2 + 1. Let i = -4 - u. Suppose x + 24 = i*x. Calculate the highest common divisor of 18 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58364.8nm to centimeters.\nAnswer: 0.00583648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/4 + 2*b**3 + 4*b**2 - 5*b + 157. What is k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8 and 149\/18222.\nAnswer: 72888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43679217 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -229 - -351. What are the prime factors of q?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 110*n = -115*n + 5, 0 = -2*o - 3*n + 2. Which is the closest to -2\/17? (a) o (b) 9 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 437 + -34?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300a5 (base 11) to base 8.\nAnswer: -126006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 214. Let l(v) = 27*v. Calculate f(l(q)).\nAnswer: -1458*q**2 + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.12.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*w**4 - 4825999*w**3 + 732121394*w**2.\nAnswer: -1224*w - 28955994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007534408 rounded to five dps?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 528 - (93\/(-33) + (-2)\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2136, -15575, -51620, -121575, -236744, -408431, -647940?\nAnswer: -966575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 110, 229, 348?\n\"Answer: 119*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 2*a**2 + 4*a**2)*(-4*a**2 + 2*a**2 + a**2) + (-3*a + a + 3*a)*(6*a**2 + 2*a**2 - a**2)*(-18*a + 12*a - 6*a).\nAnswer: -83*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -61. Suppose 0 = -3*g + 3*n + 27, -g + 4*g - 2 = -2*n. Solve -3 = -g*r + 3*k, -o*r + 2 = 3*k + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k + 26 = 4*l + 87*k, -3*k + 32 = 5*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*m - 3368 = 645*m + 9697 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -7 - (-98 + 91)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162\/11 - 2474\/165. Find the common denominator of -59\/3 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2588*t = -2594*t + 96. Let z be 12860\/70 + (8\/14)\/2. Calculate the highest common factor of t and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27546*t**2 + 27692*t**2 - 55114*t**2.\nAnswer: 124*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:35 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 670*w + 2 - 340*w - 341*w - 44*w**4 wrt w?\nAnswer: -528*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose 0 = -a - h*z, -5*a + 3*z + 30 = -9. Is a != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/423?\nAnswer: 1\/423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -5 - (-5034)\/45 - (-2)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 + 3. Let a = -179 - -178. Put f, -2, -4, a in increasing order.\nAnswer: -4, -2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 409294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 25*j + 6. Let r be ((-116)\/(-145))\/(2\/45). Let a be q(r). Suppose 0 = g + g + 6, -2*c - 2*g = -a. Is 34 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3 - 14*h**2 + 20*h + 32 = 0.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -4620.\nAnswer: 6\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 620644875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {e: 2, f: 2, k: 5, h: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 92 = 0. Let z = x + -35. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1105 - -32. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 27*p - 1 + 69*p + (2*p + 2 - 2)*(-5 + 2 + 4))*(-4*p**3 - 3*p**3 + p**3) to the form t*p**2 + h*p**4 + l*p + k*p**3 + a and give h.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 17, 36, 65, 104?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-84)\/6)*(4 - 2). What is the remainder when ((-6)\/(-9))\/(n\/(-129)) is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1, -6, 4, -18 in increasing order.\nAnswer: -18, -6, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. What is the derivative of -m**o - 24*m - 1 + 24*m wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1618206*1\nAnswer: -0.1618206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2818733\nAnswer: -2\/2818733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/11? (a) -0.4 (b) -122 (c) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -428.095 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3876444 and -95\/19656.\nAnswer: 54270216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 207*b**4 + 17655*b**3 + 364035*b**2 + 103785*b - 5202 = 0.\nAnswer: -51, -34, -1\/3, 1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -46308512 < -46308511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*o - 13. Let z be 1 + o + (-15 - -20). Solve -3*q + 7*q + 10 = -5*r, 5*q = 5*r + z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 33930450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*h - 28, -9*h + 5*h + 11 + 25 = 5*k - 8*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/4835 - -174991\/29010. Find the common denominator of y and -76\/219.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w - 15 - 5*w + 12*w**3 - 9*w**3 - 1 to the form i*w**2 + h + b*w + n*w**3 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -647 - -306. Let v = o - -1414. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 0 + 1 + 2 + (h + 2 - 2 - 6)*(-37 + 3 + 12).\nAnswer: -23*h + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**3 - x**2 + 1. Let f be z(1). Let a be ((-2)\/5)\/(12\/(-840)). Calculate the greatest common divisor of a and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3527.9999993053 + 3528. What is j rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 78. Does 39 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l**2 - 7*l - 16. Determine f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-27))\/((-72)\/(-1080)))\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2*1\/(-2)). Let d be p\/(-3) + (-16)\/(-3). Suppose -u = d*l + 5, 18 = 4*u - 0*u + l. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57838797 is divided by 1228.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.3460907 microseconds in weeks?\nAnswer: 0.00000000004190821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 16432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:07 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/(((m\/(m\/(m**(-5)*m)*m)*m)\/m*m)\/m))**(-32\/5))**(-41) assuming m is positive.\nAnswer: m**2624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m. Let q(g) = g**2 - 9*g. Let o = 15 - 18. Give o*q(t) - 5*v(t).\nAnswer: -3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) - (12 - 4). Let z(h) = h**2 + 4*h + 1. Let m be z(b). Suppose -4*x - 2*c + 0 = -m, -2*x = 5*c - 31. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 14. Suppose -6 = 3*k - c*k. Suppose 3*d + 13 = 5*r + 78, -53 = -3*d + k*r. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - j + j)*(-3 + 4 - 3) + 224*j - 438*j - 3 + 219*j to w*j + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12614 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 595*i + 4707. Let p be m(-8). Let o(s) = 2*s + 3. Let h be o(-4). Put h, p, 1 in ascending order.\nAnswer: h, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -112?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 284309115 divided by 18953941\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34171, -68342, -102513?\n\"Answer: -34171*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1152\/(-12))\/32*2\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 16*z - 6*z + 221 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-40)*(-10 - 2200\/(-576)) and -99\/40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42686602.\nAnswer: 2, 7, 467, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 349 - 699 + 350 + 650*j - j + 3*j - 3*j + (-2*j + 2*j + j)*(2 - 5 + 4) + 3*j + 4*j - 5*j as i + o*j and give o.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 7. Suppose 2*j + 4*z = -0*j + o, -z = 5*j - 47. Suppose d - 23 = -2*k, k - j = 2*d - 1. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -558*n - 5822. List the prime factors of h(-67).\nAnswer: 2, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 12210914?\nAnswer: -12210918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -85*g**2 - 95*g - 6. Let v(x) = 88*x**2 + 95*x + 7. What is -7*l(k) - 6*v(k)?\nAnswer: 67*k**2 + 95*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.089 and -472.\nAnswer: 42.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 357154.\nAnswer: 3928694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-2)\/(2 - 0)). Let m be 3\/12*2*10. Suppose 1 = 5*y + 5*k + 6, -m = 5*k. Solve 3*u - 17 = -q*v - y*u, 0 = 4*v + u - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 1 b when three letters picked without replacement from {y: 3, b: 4, g: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 263932 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7820, -15626, -23416, -31190?\n\"Answer: 8*h**2 - 7830*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/9*36\/(-42))\/((-500)\/(-1125)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/((-3190)\/(-1780)) - (-1 + 27\/33).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from wbuwcrbzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -100311132?\nAnswer: 100311031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/1651 (b) -1 (c) 9\/2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 46.4. Sort 2, 0.1, 0, j in decreasing order.\nAnswer: 2, 0.1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = j + 3. Let o = 15 + j. Calculate the remainder when 49 is divided by o + (0 - -2) + 21.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/6 + 3*s**2 + 30*s - 2. Let j(z) = z + 3. What is 5*j(d) - 2*o(d)?\nAnswer: 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*k - 774, -7*p = -2*p + 5*k + 1940. Let s = 399 + p. Solve -s + 13 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.6258934366 and -0.3.\nAnswer: 22.3258934366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2031, -16278, -54947, -130248, -254391, -439586, -698043, -1041972?\n\"Answer: -2035*v**3 - v**2 + v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -92 + 1 + -12 - (-1 - -5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x**3 + 14*x**3 + 2*x**4)*(-5*x + 0*x + 3*x)*(2 - 2 - 2).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9381515 divided by 4.\nAnswer: 9381515\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, -416, -19, 5.\nAnswer: -416, -29, -19, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167102 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n**2 - 3 + 234620*n + 3 - 20*n**2 - 234619*n as t*n**2 + g*n + c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*z**2 + 2 - 536*z**2 - 2*z + 4 + 305*z**2.\nAnswer: 57*z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 137*y + 138. Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5*u - u - 6*u**3 - 2*u**2 + 0*u - 3*u to k + z*u**2 + f*u + l*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose m*l + 3 = -3*l. Let i = -6472\/11 - -588. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, -16\/115, -1, 1303?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37623444 divided by 3?\nAnswer: 12541148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103832463 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 39 (c) -9\/5 (d) -0.5 (e) -712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 2*w - 1. Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:34 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + v + 2. Suppose -m - 2*n + 8 = 0, 5 = 3*n - 2*n. Calculate d(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j + 5*j + 3*j - 3*j + 15. Is d(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -3\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.5 + -67.5. Let g = -60.48 - c. Let r = g + 0.88. Is r bigger than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3502 and 2346752.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(70)\/sqrt(2))\/sqrt(5))*-1.\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 + 75*t**3*u**3 - 11*t**2*u**2 - 2*t*u**3 wrt t?\nAnswer: 120*t**2 + 450*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffyfffffffffy. What is prob of sequence fyfy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g - 130 - 410. Let o = 179 - g. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r + 404 = 47*r. Let o = r + -113. What are the prime factors of o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) - (2*sqrt(605) + sqrt(605)))) + 4)**2*6.\nAnswer: 1584*sqrt(5) + 32766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8895 in 2\/3, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 6 + 15. Let x = 0 - -4. Let b(h) = -h**3 + 5*h**2 - 4*h. Let n be b(x). Solve n = -0*i + i + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 7 = -4*f - 5*k, -k = -2*f + 21. Let p = f + 5. Calculate the greatest common divisor of p and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.083, 0.4, -1, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 2, f: 2, p: 1, t: 2, s: 5}. Give prob of picking 1 u, 1 p, and 2 t.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.54 from -10296.8.\nAnswer: -10295.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116017672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -524, -769, -1032, -1319, -1636?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59683698?\nAnswer: 2, 3, 3315761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/22662 and -7\/3659913?\nAnswer: 7319826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39102 is divided by 1117.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2, 1 = -2*d - 4*p + 3. Suppose 186 = i + 4*j, j - 483 = -d*i + 542. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3558*o**3 - 8*o + 6*o - 3568*o**3 - 3597*o**3 + 10788*o**3.\nAnswer: 65*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433832262 by 72305377.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4427, -4977, -5527, -6077, -6627?\nAnswer: -7177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1888196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 - 7. Let n(m) = -15*m**2 + 20. Suppose -3*i = 4*j + 30, i + 4*i = 4*j - 18. Suppose -p = -9*p - 136. Determine i*n(l) + p*k(l).\nAnswer: 5*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289433 by 6.\nAnswer: -289433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 210, 313, 414?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngn when three letters picked without replacement from nggnnngnnngngnnn?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d. Let u(h) = -h**2 - 20*h + 8. Determine 4*n(g) - u(g).\nAnswer: g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6449 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 5. Let t(y) be the second derivative of y**3\/3 - 2*y**2 - y. Suppose -5*i + a - 5 = -3*a, 0 = 8*i - 3*a - 9. Determine i*m(k) - 4*t(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/32 and -49\/127808.\nAnswer: 127808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/5916 and -93\/6902.\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5396915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -92. Let r(i) = 22*i**3 - 29*i**2 + 2. Let m(t) = -21*t**3 + 28*t**2 - 3. Let o(y) = v*m(y) + 3*r(y). What is the third derivative of o(b) wrt b?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -17. Suppose -2*g = -y*g - 8. Suppose -n - n = -4*z - 56, -g*n + 3*z + 122 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 9*y**2\/2 - 52*y + 2441. Give h(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75712 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/10*(2513\/(-252) + 10). What is the second smallest value in -13, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-22) + 209840\/(-201025))\/((-2)\/(-5)). Which is the biggest value? (a) 709 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 108. Sort -5, -4, 10, y in descending order.\nAnswer: 10, y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1901?\nAnswer: -3802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81462291 to the nearest integer?\nAnswer: 9026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 4. Let j be n(4). Suppose 4*h = 3*l - j*l - 4, 0 = -4*l + 5*h + 7. Solve 3*s + 2*q - 20 = -s, -4*s = -5*q + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 402946049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -0.04, 1\/7, -0.04466, 2, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a + 84 = 0. Let y = 25 + a. Solve -y*p = -p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*w + 2640 = u, 0 = 2*u - w - 5265. Let n be u\/70 + (-4)\/7. Which is greater: 109\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182738875.\nAnswer: 5, 11, 347, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2529951205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113 is divided by 234?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:24 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/30*(-18)\/(-20)*11\/66?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.016 and -1.\nAnswer: 1.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1772*j + 67 - 1216*j - 60)*(0*j**3 - 4*j**3 + 2*j**3).\nAnswer: -1112*j**4 - 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/7)\/((-65)\/189280)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/(-90))\/(4\/(-342)). Solve 4*d + 15*d = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 - (-21 + (38 + -9 - (11 - -9))).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 44189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Let c(i) = 4*i**2 + 0 - 3*i**2 - 8*i + 5. Let p be c(7). Put p, a, 1 in decreasing order.\nAnswer: a, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*h - 69*h - 470*h + 19516 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -3500, -11905, -28370, -55607?\nAnswer: -96328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4740\/8)\/(21\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggygggsgwsvygvgs. Give prob of picking 1 s, 1 g, 1 v, and 1 w.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -632*n**7\/21 + 733*n**3\/6 + 22*n - 2. What is the second derivative of g(o) wrt o?\nAnswer: -25280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53 + 35 - -34) + -35\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7723278 or -7723286?\nAnswer: -7723278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i**2 - 20*i - 5. Let u(n) = -3*n**2 + 4*n + 1. Let z(v) = -2*t(v) - 11*u(v). Let g be 4\/(-2)*(-9)\/6. Suppose 5*y + g = 23. Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxlyb. What is prob of picking 1 x and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:10 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -586645*k**2. Let d(t) = -47*t**2. Give y(d(m)).\nAnswer: -1295898805*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-39)*c**(-8))**(-43) assuming c is positive.\nAnswer: c**2021","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - c - 1158 + 1156 = 0, 5*s - 2*c = -24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:52 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -66. Let g(p) = 25*p**3 - 20*p**2 - 20. Let a be -3*(-1)\/(-3)*-20. Let k(n) = n**3 - n**2 - 1. Let b(c) = a*k(c) - g(c). Determine b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*13)\/((-44070)\/6780)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11409 + 5821. Let z = 8583 + m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {m: 6, b: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j + 1016904 = 1017560 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74737 - 74857 = 30*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.881 and 174614867.\nAnswer: 174614867.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 3*n**2 + 0*n**2)*(2*n - n - 2*n)*(9*n - 13*n - 8*n).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3 - 9*d**2 - 90*d - 3920 with respect to d.\nAnswer: 3*d**2 - 18*d - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -22 - 65*m**2 + 64*m**2 + 4*m - 4*m + 0*m. Let v(r) = -2*r. Determine v(h(x)).\nAnswer: 2*x**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 11?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -123377 and -1?\nAnswer: 123377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -122, -267, -470, -731, -1050?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 8*v + 3*v)*(1 - 2*v**2 - v + 0*v**2 - v**2).\nAnswer: -42*v**3 - 14*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 0.5 (c) -7738\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -789 or -24458\/31?\nAnswer: -24458\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -9*y**2\/2 + 104*y - 222. Is 50 a factor of x(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 10*g + 15. Let p be a(2). Suppose k - 12 = -p. Solve 5*j - 11 = -0*j + 2*i, -k*i + 13 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -41?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9063.294ug?\nAnswer: 0.000009063294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/469 + (-55)\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4826 + 4827. Let j be -1 + 1 + (-3)\/(-29). Is j smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0)**2*2 - (sqrt(78)*-2)\/sqrt(6)) + (4*sqrt(104)\/sqrt(2))\/((sqrt(20) - sqrt(320))\/sqrt(5) - sqrt(4)).\nAnswer: sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 8*j - 394. What is c(0)?\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -148 - 3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36 and -1.6.\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(17) + (sqrt(68)\/sqrt(4))**2 + -2 + sqrt(17) + (sqrt(119)*2)\/sqrt(7) + (sqrt(34) + (sqrt(4896)*1 - sqrt(34)))\/sqrt(2))*5.\nAnswer: 450 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002022 - 111100?\nAnswer: 120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j + 2159 = 3039 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 713810 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - ((24 - 28) + 22) - (-1 + -75)) + 6?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/5 + 792*l**2\/5 + 20274*l + 4229636\/5 = 0. What is l?\nAnswer: -178, -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + j**2 - 3428*j - j**3 + 3428*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, 1 in increasing order.\nAnswer: -5, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f - 3. Let k be o(3). Let r be (2\/k)\/((-28)\/(-6)). Let d = -14.428 - -14.128. Is r > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 65. Which is smaller: i or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(2205) - sqrt(2205)))\/(sqrt(225)*1 + sqrt(225) + (sqrt(9)*2 - sqrt(9))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 8:08 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 3)\/((-3)\/(-39)) + -4. Suppose 12*r - h*r = 3. Which is greater: -49 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 188 = s. Suppose 3*k = -f + s + 50, 0 = f - 3. Round k to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2805*b**3 - 16*b**2 - 58*b - 49. Is d(-2) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*z - 7, g = 6*g - 4*z - 16. Solve a + g*f + 3 = 0, 0 = -f - 3*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -57*t + 45*t + 10*t. Let w(u) = -2408*u + 1. Determine j(w(i)).\nAnswer: 4816*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 43*y + 5*y**3 - 3*y**3 + 4*y**2.\nAnswer: 2*y**3 - 43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*(6\/6)\/((-2)\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -305*j**9\/504 - 653*j**5\/60 - j**4\/24 - 2*j**2 + 30*j. What is the third derivative of a(x) wrt x?\nAnswer: -36600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 501 + 16*y + 3*y**3 - 502 + 2*y**2 + 14*y as a*y**3 + i*y**2 + r + x*y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -13546310.\nAnswer: 1\/6773155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009716 rounded to 6 dps?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 2*i)*(-4*i**4 + i**4 + 5*i**4 + 281*i**4 - 637*i**4 - 1277*i**4 + (-2*i + 0*i + i)*(-i**3 - i**3 + 0*i**3)).\nAnswer: 3258*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/8, 58, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + -2)*(-12)\/14. Let y be (9\/m)\/(2\/(-16)). What is the units digit of (y\/16)\/((-1)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002484 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - s + 254 = 275, -43 = -5*p - s. Solve 9*k - 10*k - f - 1 = 0, 4*f + p = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtibi. Give prob of sequence tqbi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 4*q, -2*z + 4*q - 12 = 0. Is (-2)\/(2\/(-129)) + z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**5 + 88*t**4 - 419*t**3\/2 + 463*t**2\/2 - 114*t + 18 = 0.\nAnswer: 2\/7, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -6 - (8 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -55415*o - 3. Let i be y(-3). Let z = i + -316242. Round z to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, b: 2, s: 1, c: 2, q: 1}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 20508460 to the nearest 10000.\nAnswer: 20510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 20256?\nAnswer: 141792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.2 (c) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4122 - -32897\/8. What is the common denominator of 113\/10 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 12*l**2 - 21*l - 12. Let y be o(-6). Suppose 2*z - b - y = 0, -263 = -5*z - 4*b + b. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 2210943 = -684257. What is n rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/55 and 39\/269467?\nAnswer: 1347335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 10 - 1)*(-5 + 1 - 6)*(2*p + 4 - 4)*(-5*p - 4*p - 4*p) to the form c + s*p**2 + t*p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3144 = -0*b - 24*b. Let s = 23 - b. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 24*c + 43. Let u be p(2). Which is greater: u or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*17*-1*15\/((-390)\/(-26))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-84)*(-48)\/4)\/(21\/(-9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(119)*2*4)\/sqrt(7) + sqrt(170)\/((sqrt(120) + ((sqrt(120) - sqrt(120)*1) + sqrt(120) - sqrt(120)))\/sqrt(12))).\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -6*r + r + 14, 4*r - 7 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 + 222 = b. Let d be 3*4\/10*b\/30. Let y(m) = 6 + 10*m - 3 - 2. What is y(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*q - 258*q + 137*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.144 and 2.\nAnswer: 2.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*f**2 - 8 - 44*f**2 + 6 + 18*f**2 to d*f + h*f**2 + j and give h.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3\/4 (c) -124988\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1144550 and 83\/1581560.\nAnswer: 86985800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 583*t - 148. What is the hundreds digit of h(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 121 (b) 2 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355434000 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 8*a - 7. Suppose g - 7 = 2*g. Let p be q(g). Suppose -2*x + 63 - 9 = p. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let u(z) be the second derivative of -16*z + 3\/20*z**5 + 0*z**4 - 5\/6*z**3 + 0 + z**2. Calculate -5*h(l) - u(l).\nAnswer: -3*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 122*h + 5306. Give x(29).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 76481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2, 4195 in descending order.\nAnswer: 4195, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90902 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -750, 5, 0 in descending order.\nAnswer: 5, 0, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 141701645 to the power of 1\/2, to the nearest integer?\nAnswer: 11904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11949 at least 11947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397 - 11*p**2 + 0*p**2 - 10*p**3 - p**2.\nAnswer: -10*p**3 - 12*p**2 - 397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times 5515050\nAnswer: 937558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {y: 1, v: 1, l: 1, f: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 3*d - 2*d)*(-d + 1 - 1)*(581*d**2 - 43279 + 43279) to z*d + r + m*d**2 + k*d**4 + p*d**3 and give k.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 21475. Let p(y) = -3363*y. Determine p(r(l)).\nAnswer: 10089*l + 72220425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**(-30\/13) assuming j is positive.\nAnswer: j**(150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 26*k**2 + 346*k + 8020. Let j be i(-25). Let h = -3 + 34. Put h, 4, 5, j in descending order.\nAnswer: h, 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.23 times -22?\nAnswer: -159.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/5598 and -55\/16794?\nAnswer: 16794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53960740.999902 + -53960803. Let s = 48 + -110. Let j = s - h. Round j to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -19\/216094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 55 = -7*x + 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -6. Let z be (-4)\/w + (-3)\/(-5). Let h(t) = 55*t**3 + 2*t - 1. Is h(z) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14108 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g + 2. Let o(x) be the third derivative of -x**4\/6 + x**3\/3 - x**2 - 56*x. Give -5*j(c) + 6*o(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 10. What is v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.0204654\nAnswer: 0.00409308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15357775 rounded to the nearest 100000?\nAnswer: 15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 355*m + 8796. Calculate l(-83).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tljl when four letters picked without replacement from {i: 2, y: 4, t: 1, j: 1, l: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 184783240 and 5666.\nAnswer: 184788906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804546?\nAnswer: 2, 3, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15603 - 15603. What is the second smallest value in -2\/5, -1\/7, 6\/7, l, 27?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -45. Suppose -9 + n = -y. Suppose 8*z - 6*z = 40. Calculate the remainder when z is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22507469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -128, -220, -332, -470, -640?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 21*c**2 - c + 14. Determine u(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3. Suppose -322*f = -317*f + 10. Let i(c) = -c + 7. What is f*i(q) - 5*z(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -224 - 411. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40378, 81063, 121748, 162433?\nAnswer: 203118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5 + 5148*w**4 + 164008*w**3 - 758672*w**2 - 655968*w + 2952320 = 0?\nAnswer: -35, -2, 2, 4, 1318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**5 - 374*z**4\/3 - 80*z**3 + 264*z**2 - 160*z\/3 = 0. What is z?\nAnswer: -20, -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/(1\/(-2)). Let s = x - -4. Solve 3 = -2*t - s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1.311.\nAnswer: 0.1311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-8 - (-5 + -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/26 and -113\/286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008.7453 rounded to the nearest integer?\nAnswer: -1009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 11) to base 6.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w - 15. Let n be y(-3). List the prime factors of 4\/n*(-12)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -126*s**3 + 2*s**2 - s. Let y be g(1). Let l be y\/(-2) + (-15)\/(-10). Suppose -4*u = p - 101, -5*u + 76 + l = 4*p. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954679.\nAnswer: 1954679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9132670501 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10310751 and 693.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**5\/5 - 297*a**4\/4 - a**3\/3 - a**2 + 1167*a + 1695. Find the second derivative of x(i) wrt i.\nAnswer: -24*i**2 - 1782*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-1 + 3)*(-3)\/6). Let k(s) = 16*s**2 - 5*s - 3. Let j be k(-3). Suppose 0 = w*i + 16 - j. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188288, 376544, 564800?\nAnswer: 753056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:49 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 16*d**3\/3 - 66*d - 93. Differentiate c(m) wrt m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 5. Suppose r - 19 = -1. What is the remainder when r is divided by 5*-1*(-8)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2864, -5740, -8630, -11534, -14452, -17384?\n\"Answer: -7*d**2 - 2855*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 63136?\nAnswer: -63140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/57639 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 13 - (10 + -4)) + -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 11. Let k = -77 + 78. Sort z, k, -0.2 in increasing order.\nAnswer: z, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-5)*5\/(-2). Suppose 3*i - 5*i = 3*x - 33, -4*i + 48 = r*x. Let z = 5 + x. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/1)\/((-180)\/(-45))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6784605631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s*s**(-1\/9)*s)\/s)\/(s*s**(4\/17)) assuming s is positive.\nAnswer: s**(253\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -17 + 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 302?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 120*b**2 - 6*b - 1. Let p(y) = 61*y**2 - 3*y. Let r(d) = -5*p(d) + 3*q(d). Suppose -g + 5 = -k, g = 2*k + 9 - 2. Does 24 divide r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*p - 42, -12 = 69*q - 71*q + 4*p for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**8\/3360 - b**7\/840 + b**5\/120 + b**4\/48 + 6*b**3 - 3*b**2. Let u(o) be the first derivative of n(o). Factor u(t).\nAnswer: -(t - 1)*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*s - 10 = 0, n + 12 = -3*s + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + (-10 - 43) - 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4603, 4609, 4615, 4621, 4627, 4633?\n\"Answer: 6*b + 4597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/73 and -5\/578133.\nAnswer: 42203709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + (-31 - 5) + (-6 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000043615 to 7 decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 3*b**2 + b - 2. Let g be x(3). Solve -3*p = -4 + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 2 = -13*g + 2*u, g - 12 = 2*u. Is -2 - (65454\/(-6) - (g - -4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6109835, 12219668, 18329501?\n\"Answer: 6109833*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000684581 rounded to six dps?\nAnswer: 0.000685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -45*t - 51. Let c be 3 + 0 - 30\/(-8)*-4. What is the hundreds digit of p(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -2*d**6\/15 - 14*d**5\/5 - 19*d**4 - 24*d**3 + 216*d**2 + 73*d + 2. Suppose z(j) = 0. Calculate j.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15232 = 7*l - 15281 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 91242*a - 693758547.\nAnswer: -3*(a - 15207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -h - 4. Let i be h\/(-6) - 2\/3. Let t(k) = -2*k - 1. Give t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129255 and 840?\nAnswer: 1034040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 + 2*v**4 - 4*v**3 - 3*v**3)*(-9*v + 40*v + 21*v).\nAnswer: 104*v**5 - 104*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4313905\/3 or 1437967?\nAnswer: 1437967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4 - 505*x**3 + 1055*x**2 + 2545*x - 3090 = 0. What is x?\nAnswer: -103, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 74\/24 + -6 + 3. Let k(h) be the first derivative of -1\/4*h + z*h**3 - 2 + 0*h**2. What is n in k(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f - 10. Let q be (12\/(-8))\/3*-12. Let b = 14 - q. What is the remainder when k(b) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 + 4*f - 4. Let n(h) = h**3 + h**2 - h + 1. Let d(a) = b(a) + 5*n(a). Calculate the remainder when 10 is divided by d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8771 = -17*m + 3146. What is m rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143175393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*u - 3*h, -35*h = -u - 41*h - 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1773*g**3 + 1578*g**2 + 36*g - 90. Let f(u) = -709*u**3 - 631*u**2 - 14*u + 35. Let z(x) = 18*f(x) + 7*j(x). Find the third derivative of z(n) wrt n.\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1314*j*w + 5*j + 141 wrt w.\nAnswer: -1314*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence say when three letters picked without replacement from {s: 2, n: 1, a: 1, y: 1, e: 1, t: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 3\/8 (c) 629 (d) -0.1 (e) 0.3 (f) -0.3 (g) 533\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j. Suppose z - 71 - 39 = j. Let s = z + -60. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(13) + -3)*-2)**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 + 5*v + 8. Let l(m) = -m**2 + 1. Let a(c) = -6*l(c) + t(c). Calculate a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -450, -128, 0.11?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1 + g**2 - 7*g + 3 + 8. Let m = 53 + -45. What is the tens digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 2. Let y be ((-15)\/(-6) - 2)\/((-1)\/(-10)). Let i be f(y). Let z be 12\/(-9) + 2 + 4\/i. Solve 25 = z*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + n + (3*n + 0 + 0)*(27 + 85 - 21))*(-2*n**4 + 9*n - 9*n) + 3*n**5 + n**5 - 2*n**5.\nAnswer: -548*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*(-4)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - -0.27. Which is the closest to -0.1? (a) -2\/7 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 5 = 0. Let p = 4 - k. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-20))\/((z**(-29)*z)\/z))\/(z**(-14))**24 assuming z is positive.\nAnswer: z**346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -21?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804 - 9*b - 842 - 141*b.\nAnswer: -150*b - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/33*(-1)\/5\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51476*s + 9487*s - 2 + 107804*s + 106926*s + 2650*s.\nAnswer: 278343*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2464\/2)\/4 + -2. Let r = -424 - -441. Calculate the highest common divisor of r and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 574, 1601, 3088, 5047, 7490, 10429, 13876?\n\"Answer: 2*f**3 + 218*f**2 + 359*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1905096546108+-5\nAnswer: 1905096546103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 833723203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.2. Let v = -247 + 2715\/11. Which is the third smallest value? (a) -0.5 (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -11*v + 35. Let i be 5 + (-5 - v) + 14021. What is i rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -8. Let w(n) = 14*n - 32*n + 17*n + 4 + 1. Calculate the least common multiple of w(-6) and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 7, -51, -143, -275, -453, -683, -971?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 73 = 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 14753\nAnswer: 3\/14753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 1479.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 48 = 24. What is the units digit of 32\/t*(94\/(-4) - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 5 + 5)*((1 + 1 - 4)*(-8 - 12 + 7) - 3 + 1 + 1).\nAnswer: -50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c**3 + 6*c**2 - 11*c. Let o(x) = 15*x**3 + 5*x - 3*x - 18*x**3 - x**2. Calculate 4*f(v) + 22*o(v).\nAnswer: -2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) + sqrt(660)*-1)\/sqrt(12))\/(sqrt(77)\/(sqrt(28)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let b(c) be the third derivative of -c**4\/12 + 13*c**3\/6 + 4*c**2. Let p be b(0). Let r(v) = 161 + p*v - 161. Calculate i(r(l)).\nAnswer: -169*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36995 divided by 7399?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s + 2*f + 98 = 0, 3*f - 69 = -3*s. Suppose 6 = 5*j - s. Let q = j - -24. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3567180 is divided by 2158.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*f + 3*f. Suppose 3*l - 29 = 4*x, -3*l - x + 3*x + 37 = 0. Suppose 0 = 4*v - 3 + l, -5 = -2*k - 5*v. Solve -f*a + k = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5334 divide 25259955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 2000 + 1002 - z**2 + 994. Let g = 5 + -1. What is k(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3882 divided by 6.\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -17 + 7 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -14*j + 30. Suppose -2*u = j*u - 80. Calculate the highest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (3 - 0)) + -1 - (2 + -27 - -108).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**2 - 1173*s - 19702. What is r(-26)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2744250 and 2835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 - 3*r - 1. Let k be l(-1). Let s be 26 + (-2 - 4 - k). What is the highest common factor of 500 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150243 (base 8) to base 3\nAnswer: -2201021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66 and -12400.84.\nAnswer: 818455.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01840154 rounded to five decimal places?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4 = -a, 0*b + 8 = -4*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**6\/3 - j**4\/2 - 41*j**3\/3 + 4*j - 7. What is the second derivative of i(v) wrt v?\nAnswer: -120*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 232586258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) 1 (c) 8 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 2, h: 10, t: 1, p: 4}. Give prob of picking 1 t and 1 p.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*k + 2*d, -d + 19 = -4*k + 4*d. What is the tens digit of ((-15)\/k)\/(-5)*-20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + -0.06. Let l = -3.03 + 0.03. What is the nearest to t in -1\/4, 5, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1557*o + 1573*o - 144. Let q = 6 - 4. Solve q*l + o = -1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 5225181440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 34, 13 in descending order.\nAnswer: 34, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 1\/30*a**6 + 0 + 0*a**2 + 0*a**5 - 119\/6*a**4 + 0*a**3 - 83\/42*a**7 - 218*a. Find the third derivative of u(q) wrt q.\nAnswer: -4980*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101010101001000000011 (base 2) in base 13?\nAnswer: -1792840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 2106, 5539, 10560, 17169, 25366, 35151?\nAnswer: 46524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -0.05192, 0.09, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*i + 60, 0 = -3*i + x + 4*x + 45. Suppose i = -c + 66. Let h = 81 - c. Is h a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 4*w**2 - 3*w**2)*(w**2 + 0*w**2 - 3*w**2) + (-2*w**3 + 2*w**3 + 3*w**3)*(3*w - 4*w + 0*w).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-189)\/147)\/(3\/(-14)) - 6. Solve x = -25*d + 6*d - 38 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (27 - 30 - 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/462)\/(30\/1547) + -11?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(a + 0*a - 2*a) + 0 + a + 0 + a - 5*a + 9*a + 2*a + 0*a - a + (-2*a + 2*a + a)*(2 - 1 + 1) - 2*a + 2*a - a + (3 - 4 + 0)*(2 - a - 2).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 8*z + 9. Calculate i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x**4 - 10572*x**3 + 1051568*x**2 + 1595868*x + 533720 = 0. Calculate x.\nAnswer: -1, -1\/2, 110, 1213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 2, r: 2, x: 5}. What is prob of picking 3 x and 1 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 1:01 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30940\/(-84))\/(-65))\/(((-4)\/2)\/(-6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682\/165 - 5 - -1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5348*u = -t - 5343*u + 15, 2*t + 0*u - 2 = 3*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*b**3*i + 23*b**2*i**2 + 2*b*i**2 - b + 33*i**2 wrt b.\nAnswer: 132*b*i + 46*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2. Let m(z) = -3465*z. Calculate p(m(a)).\nAnswer: 48024900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -14. Let g = -2 - -6. Suppose -4*a + 44 = -4*u - 8, -g*a = 2*u - 70. Solve -2*y + n*y + a = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1561059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 4226092.\nAnswer: -8452184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.19, 1, -0.1, -1386497, -1\/4, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80973694 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-140)\/(-42))\/(2\/3) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 25. Let m = 0.2998594 + -48.2994394. Let v = m - o. What is v rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55051921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y**4 - 4*y - 30*y**4 + 2 + 0*y**2 + 0 + 2*y**2 to i + q*y**2 + w*y**4 + g*y + p*y**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -859 + 869. Let d be 3279\/(-480) + 7 - 2\/z. Let m be (-10)\/(-14) + (-2)\/(-7). Which is greater: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/4880 and -38\/3355.\nAnswer: 53680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/2322 and -67\/2064.\nAnswer: 18576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 158 + 6 - -4*1. Let w be (-1)\/(-7) + (-150)\/p. Let j = -0.6 - -1.6. What is the nearest to -2\/3 in j, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-128)\/48 - (-69)\/9. Let m(b) = b. Let d(k) = 6*k - 5. Let u(g) = d(g) - 3*m(g). Let a(i) = -i + 1. Determine s*a(o) + u(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 39*y + 13. Let q be v(9). Let r = q + -172. What is the lowest common multiple of 20 and r?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 25*w**2 + 14*w + 19. Let r be g(-4). Let v be (4\/(-3) - 572\/r) + 3. Which is the closest to -0.1? (a) 0.1 (b) 6\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*t = -t - 9, 3*t + 15 = -4*d. Let n = 2\/2453 + -169261\/4906. What is the common denominator of n and 2 - ((-177)\/d)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2217*b**4 - 9*b - 19343.\nAnswer: -8868*b**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24444577794.3 + -2\nAnswer: 24444577792.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068955836 rounded to 7 decimal places?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10\/79, -734\/11, 2\/11 in descending order.\nAnswer: 2\/11, 10\/79, -4, -734\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/12 - 5*k**3\/2 + 37*k**2\/2 + 2*k + 4. Calculate b(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 90248736, 180497474, 270746210, 360994944, 451243676, 541492406?\n\"Answer: -l**2 + 90248741*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118, -455, -1024, -1831, -2882, -4183?\n\"Answer: -f**3 - 110*f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 - -14246?\nAnswer: 14311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -16*f - 17. Let p(q) = -4*q + 3. Calculate -2*p(m) + w(m).\nAnswer: -8*m - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - x**3 + 6*x**2 - 4 - 2*x**2 - 2*x**2. Let m be f(3). Let r = m + 3. Solve r*v - 4 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 39*q**3 - 4*q**2 - 54. Let i(r) = r**3 + r**2 + 1. Let o(z) = -a(z) - 4*i(z). What is the first derivative of o(c) wrt c?\nAnswer: -129*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833.6053 months in centuries?\nAnswer: 2.36133775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -51.98. What is h rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25680 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199665 is divided by 12455.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 i, and 1 t when four letters picked without replacement from iortmmooomm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-10))\/((-20)\/50)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 2365*u**2 + 271200*u + 2016000.\nAnswer: 5*(u - 240)**2*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2 - 363490*p + 6606249005 = 0. What is p?\nAnswer: 36349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-4) - (56 - 62). Suppose -p + k + 22 = 0, -k - 56 = -2*p + 4*k. What is the greatest common factor of p and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - (-1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -110111111111010100111?\nAnswer: 110111111111010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13465705 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: Let u be (6\/(-8) - 0)\/(2\/(-8)). Suppose 9 = u*m, -6*j = -2*j + 4*m - 84. Suppose j + 29 = w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, -127, -4 in increasing order.\nAnswer: -127, -20, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20215 from 9.\nAnswer: 20224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -314056295*c**2*h**2 - 5999*c**2*h - 3*c**2 - 735*c*h wrt h.\nAnswer: -628112590*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-2 + 3)) + 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x. Solve -2*l - 3 - 1 = 0, 3*s + l + 5 = x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 52.3. Are 1 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 36. Suppose n - 840009 = -j*h, -3*n = n - 4*h - 3359988. What is n rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -4)\/(-4 - -3 - 0). Suppose -5*m + 38 = s*v - 66, v = 4*m - 100. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3 + 14*l**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(132) + (-1*(1*sqrt(132) - sqrt(132)) - sqrt(132)))\/(sqrt(96)\/(sqrt(64)\/(sqrt(32)\/sqrt(4)))).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2349 = 4266. Suppose 0 = -9*o - 0*o - c. Let a = o - -1106. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410.588 rounded to 0 decimal places?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -39*u**2 - 1243*u + 327. Determine l(-32).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*q + 274, w - 2*w = q - 91. Suppose 18*s + w = 3*s. Let z be ((-6)\/4)\/(3\/s). Solve 8*i = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92148168 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3249, 3149, 2879, 2355, 1493, 209, -1581, -3961?\nAnswer: -7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s = -16. Let k be 14 - (4 + -1) - s. Suppose -q + 5 = -0*q. Calculate the greatest common factor of q and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 1 + 0*l + 9*l)*(l + 2*l - 6*l).\nAnswer: -12*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*v + 119*v + 67 = -6*j + 8, 2*j - 7 = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186776.\nAnswer: 2, 37, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-362)\/1)\/((-8)\/2652). Suppose -4*a - g = -3*j, -5*a - 149998 = 2*j - 0*j. What is a rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*u + u. Let w be (-1 - 0\/1)\/(u\/(-868)). Let o be 4\/12 + (-184)\/(-6). What is the highest common factor of o and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 185 = -5*z - 5*w, 44*z - 57*z - 6 = -13*z + 2*w for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - 4*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23794133 to the nearest integer?\nAnswer: 4878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/360 + 5*h**4\/24 + 7*h**2. Let l(s) be the second derivative of p(s). Let v(c) = 2*c. Give l(v(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16903 + 16898. What is the nearest to 1 in 2\/11, j, -1\/4, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2610\/78 - (-27 + (-13209)\/(-481)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 1. Let y(z) = 52*z**2 - 7*z - 13. Let k(x) = 6*b(x) + y(x). What is the second derivative of k(j) wrt j?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 3 (c) -2\/25 (d) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 29 = -4*a - 8, -2*a + v + 3 = 0. Let o be 5\/3 - 2\/(-18)*a. Solve -3 = -5*h + o*l, 2*h + 12 = 6*h - 4*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 51*r - 6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39 - -0.525. Let l = h - 0.1350176. Round l to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m = 27*m - 440 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-5)\/(5\/(-4)). What is the common denominator of -41\/20 and (-2)\/t - 342\/(-84)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 178\/9. Let w be (-2 - 16\/(-10))*10. Let d = -5\/29 - -6\/203. What is the biggest value in d, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -41, -70, -101, -134, -169, -206?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 25. Determine q(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 13.88.\nAnswer: -69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 65*g**2 - g - 2. Let i be m(-2). Round i to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2 + 5. Let q(t) = -t**2 - 1. Let k(j) = -5*q(j) - r(j). Let o(x) = -7*x. Let m be o(-1). Let c(s) = m - 2 + 3*s - 5. What is c(k(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/190 or 1\/4?\nAnswer: -23\/190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 2, n: 1, a: 1, s: 1, j: 1}. What is prob of sequence jnr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20086, -20073, -20054, -20035, -20022?\nAnswer: -20021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.93476704 rounded to two decimal places?\nAnswer: -2.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9082 + -9077. Solve 23 = 5*a - 4*r, 2*a + s*r = 8 - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/33, 0.2, 250.6, -6, 3?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let m be d(4). Suppose -m*c + 11 + 4 = 0. Suppose n - 5 = 0, 2*n - 395 = -c*o - 0*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-12 - (80808\/(-80))\/37).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 3 = -3*b, 0 = 3*u - 3*b. Suppose u*a - a = -3*k + 16314891, -5*k + 8157442 = a. Suppose -f + 557447 = a. Round f to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1214880850 and 3475?\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 80?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8292273 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: Let s be 0\/(-5 - (3 - 4)). Suppose -3*p + 4*p - 2*r - 91 = 0, s = -3*p + 5*r + 273. Suppose -z + p = 6*z. Calculate the remainder when 35 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -549*r + 2. Is w(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (707\/(-14) - 3\/(-2)). Suppose c + 3*c - i = 0. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 22, -35 in descending order.\nAnswer: 22, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 8*5\/160 + -6. Suppose -1\/8 + 1\/4*s**3 - b*s + 1\/8*s**4 + 0*s**2 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -116, -192, -260, -314, -348, -356, -332?\n\"Answer: y**3 - 5*y**2 - 70*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from xstbr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 25613.\nAnswer: 435421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214837563491\/72 + -2983909911. Let a = l - -54860. Let x = a + 1\/72. Which is greater: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-440)\/(-3) - (-23)\/69.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*-0.06929.\nAnswer: -4.01882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65676 is divided by 13105.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let j(s) = 2*s + 8. Let p be j(-7). Let c be 24\/10 - p\/(-15). Let t(y) = 1 + y**c - 1. Calculate k(t(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -607?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15682659.2 + -0.3679\nAnswer: -15682659.5679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -t + 17*p, 0*p + 5*p = -9*t + 6*t - 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 123267208.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -48012957 < -48012957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2042 * 9\nAnswer: -18378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**3 + 401*b**4 - 128*b**4 + 2*b - 135*b**4 - 137*b**4 - 2*b**2 in the form z*b**3 + x*b + h + q*b**2 + f*b**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -162, -161, -158, -153?\n\"Answer: n**2 - 2*n - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, -14 in decreasing order.\nAnswer: 2, 1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185187330 and 15075?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5128 - 459*o + 266*o + 5128 - 420*o to the form v*o + s and give v.\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5025961 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -33*l**2 + 294*l - 570. Calculate q(7).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10321 divided by 747.\nAnswer: 10321\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:58 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 15*r - 0*r. Let n(d) be the third derivative of 0 + 1\/168*d**4 + 1\/420*d**5 + 8*d**2 + 0*d**3 + r*d. Factor n(t).\nAnswer: t*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 1 - 2*186\/63. Let k = -36 + 36. Determine f, given that 0*f**2 + 2\/21*f**3 - g*f + k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2783\/3 + 926. Let t be -2*(-1 - 10\/(-8)). What is the nearest to t in v, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**3\/3 + 1278*j**2 + 816642*j + 620. What is g in n(g) = 0?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.57, 5 in decreasing order.\nAnswer: 5, 0, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 110759690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + 48 = b, 8 = b + 3*j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700\/104 + 92\/598?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(392) + 2 + sqrt(392) - sqrt(392)) + 2)**2.\nAnswer: 112*sqrt(2) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -1362, -2979, -5254, -8193, -11802, -16087, -21054?\nAnswer: -26709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppooppodpppdpoood. What is prob of sequence po?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-8 - -5) + (-23)\/(-1) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/12*(-3)\/3*1\/6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -117, -172, -221, -264?\n\"Answer: 3*h**2 - 70*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -53. Suppose -m*s - 21 = 375. Let b = s + 110. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*b + 99*b + 177*b.\nAnswer: 542*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x + 25. What is the third derivative of 14*k**5 + 21*k**2 + 0*k**5 + k**5 + 5*k**x wrt k?\nAnswer: 1200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/(802\/(-10827))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074 = 4*u + 78. List the prime factors of u.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -221*f**2 + 32*f - 30. Calculate v(1).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, -100\/9, 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o**3 - o. Suppose -5*b - 48 = -58. Let c = b + -1. Determine u(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19*x**2. Let f(n) = -354661*n**2. Give t(f(p)).\nAnswer: 2389904073499*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*c**2 - 75*c**2 - 47*c**2.\nAnswer: -239*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -898480 by 2.\nAnswer: -449240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31702740 and 459460?\nAnswer: 31702740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 2*d**2 + 14*d - 20. Let w = 716 + -709. What are the prime factors of t(w)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-30\/11)*p**11*(p\/p**(2\/43))\/((p**(34\/5)\/p)\/p))**3 assuming p is positive.\nAnswer: p**(77199\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 - 16185\/(-166) - 153\/30?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.19 and -0.5.\nAnswer: -1.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29465 + 29464.4. What is the nearest to 0 in -0.1, c, 15, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -11*w**8\/420 + w**4\/8 - 4*w**3\/3 + 18. Let i(z) be the third derivative of v(z). What is the derivative of i(a) wrt a?\nAnswer: -176*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.035 from 1449.\nAnswer: 1449.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40931.3 + 40931. Let s be 2\/((-16)\/(-6)) + -1. Put -0.5, s, m in ascending order.\nAnswer: -0.5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + -65 + 41)*(-1)\/(-42)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-2*o**2 + 28*o**2 - 2*o**2).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 691 + -473. Suppose 0*s + 3*s = -15, 2*s + f = 4*l. Suppose 2*h + 60 = 3*j - 14, -2*j = -2*h - l. What is the remainder when 43 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 9, c: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756038 is divided by 756029.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/5 - 57*d**4\/5 - 359*d**3\/5 + 12877*d**2\/5 - 10332*d + 7840 = 0.\nAnswer: -35, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 316, 1167, 2864, 5689, 9924?\nAnswer: 15851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.79861mg to nanograms.\nAnswer: 8798610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11127*b - b**2 - 11127*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**5 + 21*d**4 + 45*d**3 + 35*d**2 + 10*d. Let q(w) = -w**4. Let l(f) = a(f) - 4*q(f). Factor l(y).\nAnswer: 5*y*(y + 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1710 + 1709. Which is the fourth biggest value? (a) 1\/6 (b) 0.1 (c) n (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/121 and 70\/3.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*v + 655, 3*l - 393 = 4*v + v. Suppose 4*q - 3*q = 440. What is the remainder when l is divided by (2\/(-8))\/((-10)\/q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 16*d + 32*d**3 + 22*d - d**2 - 37*d. Let l be 50\/70 - (-4)\/14. Is m(l) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 7)*(-6)\/(-9). Let f(r) = 2*r. Determine f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11115 (base 9) to base 15.\nAnswer: 22c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 + 50190*p + 4490673 = 0.\nAnswer: -89, 16819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95206 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 58, -2 in decreasing order.\nAnswer: 58, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*s = 224 + 126 + 796 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1)*3\/(-2). Suppose 2*a + r = 2 + i, -6 = -5*a + 4*r. Solve -a*y + 5 = -2*u + y, -u = y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -890.60550251673 - -30739462.60548701673. Let z = d - 30738586. Let w = z - -14. Round w to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 14 + -4 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.7, -6, 34, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2618 + 5?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(2840\/(-16) + 4). Let g = -693 - t. Is g greater than -3\/178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 48 - 156 - 182*c**3 + 53.\nAnswer: -182*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 10*g**3 + 19 + (-2*g**2 - 4*g**2 + 4*g**2)*(2*g - g + g) - 2*g - 14 - 9 + 25 - 9*g**3 as p*g + w + h*g**2 + d*g**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000219 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 5*g - 2. Let j be l(-3). Suppose -y = 4*y - j. Suppose 2*z = -y*z - 190. Is z != -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257332 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 7*s**2 + 6*s - 7. Let h be v(-8). Suppose -2*k - 18 = -7*k - 3*f, 2*k + 3*f - h = 0. Solve 2*q - 20 - 5 = -3*w, -5*w + 10 = -k*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-756)\/70)\/((-7)\/(-2520)). Is 2448 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times 4338?\nAnswer: 138816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2816 is divided by 11 + (48\/(-132) - 365\/55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a century in months?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**3 - 11*t**2 + 19*t + 58. Calculate i(-5).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0\/8 + 81\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26270 and 11840.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = 1. Suppose 68 = -5*m + m. What are the prime factors of m\/(1 + 0 + w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/((-18)\/(-108)). Suppose -2*t - 4 = -r*m, m + 0*t - 5 = -3*t. Calculate the smallest common multiple of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-154)*-11*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -17 - (1 - 2 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -106*u**3 - 121. Let o(f) = 2*f**2. What is o(z(t))?\nAnswer: 202248*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/5? (a) -2 (b) -4\/5 (c) -2\/11 (d) -0.3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -294*k - 283. What is y(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*32\/((-24)\/(-6)). Suppose 0*c + f*q - 20 = 4*c, 3*c = -2*q + 10. Let u = -138\/7 + 1443\/70. Which is smaller: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533204941?\nAnswer: 191, 8027251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-44)*11)\/(6\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 230 - 60. Let n(a) = -89*a - 115. Let o be n(-2). Suppose -o*k + c*k = -10. Solve k*r = -3*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262 (base 8) to base 7.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r\/((r\/(r*r**(-5\/8)))\/r)*r)\/r)\/r*r))\/(r*r**(-26))*(r\/(r**(-7\/6)\/r))**49)**(4\/11) assuming r is positive.\nAnswer: r**(4315\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-36)*(-4)\/(-5). Put -2\/3, s, -5 in ascending order.\nAnswer: -5, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01432922 rounded to two dps?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1173 divided by -69?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/26 + 238\/4. Suppose -4*x = x - c. Suppose b + s = 43, 5*s = s + x. 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: (6 - 4) + 2 + 9 + -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 - -157. Is 10 a factor of t\/(-3) - (-623)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4) + 2\/2. Let z = -208 - -213. Suppose -z*f + x + 58 = 0, x - 6 = -2*x. Sort 0.3, l, f in descending order.\nAnswer: f, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200 - 102?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9388, 37792, 85126, 151384, 236560?\n\"Answer: -m**3 + 9471*m**2 - 2*m - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/561 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 374\/(-3740)*(-1)\/(-1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2264457492?\nAnswer: 2264457492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**7\/5040 + n**6\/60 - n**5\/30 - n**2. Let j(m) be the third derivative of f(m). What is the units digit of j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-1)\/(h*h**(-2\/3)*h\/(h*h*h*h**(-2\/17)*h)*h)*(h**7*h\/(h\/h**(2\/5)*h))\/((h**(-8)*h*h*h)\/(h\/(h*h\/(h*h\/h**(2\/7)*h)*h))) assuming h is positive.\nAnswer: h**(27959\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3781 is divided by 1257?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837 - 2609168*a**2 + 837 + 2609324*a**2.\nAnswer: 156*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 3*p - 7 + 1496*p**3 - 1523*p**3 - 20. Let s(t) = t**3 - 2*t**2 + t + 1. Let j(o) = 2*s(o) + u(o). Find the second derivative of j(i) wrt i.\nAnswer: -150*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 17*m**5\/12 + m**3\/2 - 7*m**2 + 176*m. Let o(f) = -8*f**2. What is b(o(p))?\nAnswer: 5440*p**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**6 + 36*v**4 - 43*v**2 - v.\nAnswer: -120*v**3 + 864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -127\/6 (c) 0 (d) 3\/4 (e) 13 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 16) to base 3\nAnswer: -1110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/18 (b) -80 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -21*n**3 - 31*n**3 - 4 + 51*n**3 - 7*n - 7*n**2. Calculate h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*a*p**3*z**3 - a*p**3 - 9*a*z**3 - 2*a*z**2 - 2*p**3*z - 173*p**3 - p**2*z**2 + 3*z**3 wrt z?\nAnswer: 228*a*p**3 - 54*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 245946825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -3*b - z, -5*z = -b + 331 - 330 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 29. Let s = -114 + 118. Suppose -6 = -0*m + 3*m, 42 = s*r - m. What is the least common multiple of y and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 3:10 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665348741.\nAnswer: 9419, 70639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*v - 5. Let a be (187\/68 + (1 - 3))*-2. Let q = -6 - -5.6. What is the closest to a in q, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/24)\/(41\/88 - 137\/1507). Factor -4\/3*k - 10\/9 - u*k**2.\nAnswer: -2*(k + 1)*(k + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1410 (base 13) to base 8.\nAnswer: -5506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1420 + 2*z - 2666 + 0*z.\nAnswer: 2*z - 4086","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r + 35. Give h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, 2, 13 in ascending order.\nAnswer: -0.3, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14*(-2170)\/248)\/((-3)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39272.7 - -39273. Which is the nearest to -1\/11? (a) 9 (b) s (c) -0.2 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40371 + 56932. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 11*b**2 + 27*b + 285. Give o(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4864255 is divided by 113122.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82\/17 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*x + 18*x - 2*x**2 + 5 + (0*x - 19*x - 23*x)*(5 - 4*x - 5).\nAnswer: 166*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1768 = -2*o, 3*o - 5*a = 3002 - 326. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:21 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Let t be q(2). Suppose t*z - 117 = 83. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 1, h: 3, p: 1, i: 1, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19620486035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5588 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 - 5*v - 19. Let u be r(8). Suppose 5*a = u*z + 430, a - 74 = -6*z + z. Which is smaller: 85 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x - x)*(-48 + 149 + 75).\nAnswer: -1056*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2. Let h(b) = -109*b**2 - 2*b. What is h(k(n))?\nAnswer: -1744*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 874185667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -119.1506.\nAnswer: -118.2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k**2 + 10*k - 325837 - 11*k + 325837.\nAnswer: -24*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z**2 + 9*z - 6. Let a(r) = -35*r**2 - 19*r + 13. What is -6*a(j) - 13*s(j)?\nAnswer: -11*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 9*n**2 + 14*n**2 + 10*n**3 + 8*n**4 - 62*n**3 + n**2 = 0.\nAnswer: 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1631663 and 1631663?\nAnswer: 1631663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 199. Let k = -105 - w. Let s = 5 - 4.7. Sort k, s, -2.\nAnswer: -2, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-10982*i**3 - 3587*i**3 + 4447*i**3 - 24939*i**3) as f*i**3 + h*i**2 + r + g*i and give f.\nAnswer: -70122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 70*d**2 - 586*d - 102. Let x be y(18). What is the highest common factor of 26901 and x?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3207 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133 (base 6) to base 15.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:18 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -24. Let r = -4.4 + q. What is r rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 50 - -57 - 37 - (1 - (2 + -8)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - x + 17, g + 14 = 3*g + 2*x. Factor -2*r**3 + 11*r**2 - g*r**2 + r**4 + 0*r**2.\nAnswer: r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzpppbpcapxcpp. Give prob of picking 1 b, 1 x, 1 c, and 1 z.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84597 + -19169. What are the prime factors of f?\nAnswer: 2, 11, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1901256, 1901258, 1901260, 1901262?\nAnswer: 1901264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 2*l + 99769 = 20*n, -2*l = 6. What are the prime factors of n?\nAnswer: 5, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1018\/(-8) - 2*(-2)\/16. Let o = -133 - g. Suppose -3*v - 2*m + 3 = 0, -3*v + 8*m - 3*m + 3 = 0. Sort o, v, -3.\nAnswer: o, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2872 + 55976 = 209*p + 640*p - 6525 for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17233.24725 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 356477 (base 8) in base 12?\nAnswer: 5a853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 311972, 623937, 935902, 1247867?\n\"Answer: 311965*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 28 + -26 + (57 - -4) + -1.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -563*p**3 - 8*p + 9 + 566*p**3 + 23*p to m*p + l*p**2 + t + x*p**3 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8719026 is divided by 2137?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10114203 - -10?\nAnswer: 10114213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.9 - 2258104581.\nAnswer: -2258104609.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354731, 354726, 354721, 354716, 354711?\nAnswer: 354706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 10*a**2 + 11*a + 5. Let v be l(-11). Let x be (22 + -6)*v\/2. What is the highest common divisor of 60 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 0.035?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*-93*(9 - 10) + 1?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6254108 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -20*k + 183. Let d be (-350)\/(-40) + 2\/8. Let w be n(d). Solve -1 = 2*u + w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2 + 1 + 2). Suppose f - 47224 - 20776 = n. Round f to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + (-11466)\/(-602))*-1\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2139768.\nAnswer: 2, 3, 113, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20840*i**4 - 69*i**2 + 18303336*i wrt i?\nAnswer: 250080*i**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugccgcuu. Give prob of picking 2 u and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 125 = 50. Find the common denominator of 89\/12 and (0 + o\/18)*411\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397\/1365 + -1\/195. Let 2\/7*s**2 + 4\/7*s + a = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:09 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 + 156. Solve -5*s + 2*s = 3*y - 3, 3*s + r = -y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*(sqrt(77) - sqrt(77)*-2) - (-6*(sqrt(77) - -1*sqrt(77)) + sqrt(77) - sqrt(77)))\/((-3*sqrt(3564))\/sqrt(4)))**2.\nAnswer: 700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*((-135)\/50 + 3). Factor u*t**2 + 9\/5*t**4 + 0*t + 0 - 3*t**3.\nAnswer: 3*t**2*(t - 1)*(3*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 9579408023460.8?\nAnswer: -9579408023460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*l + 129*l**2 + 16*l**2 + 16 - 20*l**2 + 29.\nAnswer: 5*(5*l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/20 - z**4\/3 + 2*z**3\/3 - 2*z**2 - 2*z. Calculate q(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 36 = 17*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:48 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 208250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134.9195 minutes in hours?\nAnswer: 18.915325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 13*f + 3. Let j be l(-13). Solve -j*n - x = -3*x - 9, 12 = 4*n + 3*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2759 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(-72)\/16. Suppose 0*m - h = 3*m, u + 4*m = 0. Let l(w) = -2*w + 3. Calculate l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -3, -2 in increasing order.\nAnswer: -42, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/14*6\/(-25)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (-315)\/7 - (-710)\/(-30)) + (-35)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 1\/1800*x**6 - 1\/3*x**3 + 2\/15*x**4 + 8*x + 0 + 1\/75*x**5 + 0*x**2. Let l(t) be the second derivative of r(t). Factor l(j).\nAnswer: (j + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55421 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-1 + 1 - 3*q) - q + q - 2*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37297, -37300, -37303?\nAnswer: -37306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 != -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g - 3. Let v(t) = -5*t**2 - 60*t - 109. Calculate the remainder when v(-9) is divided by b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 3:57 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24719 divided by -19\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 6:19 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550) - (sqrt(550)*-1 + sqrt(550))) + sqrt(88)*4)\/((2*(sqrt(110) - sqrt(110)*3) + sqrt(110))\/sqrt(10)))**2.\nAnswer: 338\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518400820 and 49700?\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 14\/3*r**3 + 6*r**5 + 0*r + 21 + 0*r**4 + 0*r**2. Find the third derivative of w(j) wrt j.\nAnswer: 720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*q = a - 20, -98*a + 185 = 99*a - 199*a + 39*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 44333322433?\nAnswer: -44333322434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:19 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280 and 3392?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -59322 divided by -19774\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*g - 12, -4 = -9*g + 7*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 520 = -9*c + 240 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3\/3 - 7*z**2\/2 + 33*z + 174. Let w be k(3). Solve -4 = -w*s + 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*y = -542*y + 11536 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2 - 12*w**3 + 0*w**2 + w**2 + 11*w**3. Let f be o(0). Let p be 2*(2\/4 + 0). Is f at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (-17 - -19) + (32 - 7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/30*(-72045)\/802101?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11087.371 and 42966.3?\nAnswer: 54053.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 86104?\nAnswer: 3\/86104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.230001 * -0.02\nAnswer: 0.00460002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.057, 8, -26628?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let r be -1 - -1 - 0\/(-3). What is the second derivative of i*w**5 - 4*w + r*w**5 + 5*w wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 6:12 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 - 4)*(1 + 407*m + 1051*m + 167*m) in the form j + f*m and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*j = -8*j - 13, 0 = -s - 2*j - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -248 divided by -46\nAnswer: 124\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-6)*(-12)\/(-21). Suppose -3*j + 5 = f*b + 4, -3*b + 5 = j. Let h be (6\/(-8))\/((-6)\/32). Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 2*a + 1. Let v(k) = k**2. Suppose 0 = 2*d - d - 3. Determine d*v(y) - l(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.84 + 11.359. Let t = q + -1.47. Round t to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (931\/(-266))\/(((-4)\/8)\/(1\/1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -6, 1, -0.01, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/4 - 19*i**3\/3 + i**2\/2 - 8*i + 9. List the prime factors of v(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -51. Let p = -4.7 + -0.3. Put 0.3, -1, p, r in descending order.\nAnswer: 0.3, -1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12374 = 3*x - 5*o, 2*x - 4*x + 2*o + 8256 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-3)\/(-6))\/((-39)\/(-13))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, 92, -4 in increasing order.\nAnswer: -22, -4, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(0 + sqrt(2156)) - (sqrt(2156) + sqrt(2156) + -1 + sqrt(2156) + 5 - (1 + sqrt(2156) + 3 - sqrt(2156))))**2.\nAnswer: -84*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178459010, 178459009, 178459008, 178459007, 178459006?\nAnswer: 178459005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 26*f + 95. Let u be o(4). Let v(h) = -h - u*h - 35 + h + 33. Let z(r) = -20*r - 5. Calculate -17*v(c) + 6*z(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 11*f**2 + f + 13. Let t be i(-11). Suppose t*o - 6 - 88 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 9. Let p be ((-2)\/6)\/(1\/(-39)). Let r be ((-305)\/183)\/(5\/(-18)). Let v(q) = 2*q - r*q - p + q. Give 5*v(o) - 7*y(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 4 - ((-1 - -3) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -27*l**5\/5 + 51*l**4\/4 + l**2\/2 + 3521*l - 2215. What is the second derivative of v(r) wrt r?\nAnswer: -324*r**2 + 306*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - (-295284)\/(-14762)) + 17)*-11?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47 and 329.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8723271 (base 10) to base 4\nAnswer: -201101231013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 9:03 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17506\/16027 + 2\/1457. Let d be 3 + (-7)\/(693\/222). Let f = d + l. What is the biggest value in -0.3, 1\/7, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.4 + 45. Let f = p - -0.4. Let v be 32\/(-10) + (-1)\/(-5). Which is the biggest value? (a) f (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - (-5)\/33. Let z(w) = -w**3 + 8*w**2 - w + 6. Let n be z(8). What is the closest to n in 0.1, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4606.389607 rounded to the nearest ten?\nAnswer: -4610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n + 3*n. Let s be n - -1 - 0\/3. Are 3 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1832, -1854, -1876, -1898, -1920, -1942?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52676\/(-117) - (-2)\/9. Let a = q + 688. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-1)*((-9 - -5) + -138)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1634041842 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + q - 17, -1064*z + 1066*z + 5*q - 77 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3426 and 2379357?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*u + 3\/5*u**5 + 0 - 24\/5*u**2 + 0*u**4 - 18\/5*u**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 5*w = -23*w - 1975 + 735 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 6*a + 10. Suppose 14*t = -71 - 27. Calculate n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459011244 rounded to the nearest ten thousand?\nAnswer: -459010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0027 and -374.\nAnswer: -1.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by -16664?\nAnswer: 153\/16664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2603578395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234883921, 234883922, 234883923, 234883924?\nAnswer: 234883925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - s - 1. Let x(z) be the third derivative of -z**6\/15 + z**5\/15 + z**4\/2 - z**3\/3 - z**2. Let v(d) = 2*p(d) + x(d). Factor v(n).\nAnswer: -2*(n - 1)*(n + 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**2 + 210*i - 920 = 0.\nAnswer: -46, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3\/t**27 assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 439 + 278*k**2 + 106*k**2 - 873 - k**3 + 436 to the form r*k**2 + h + b*k + y*k**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 81171*d**2 + 9*d + 20. Is b(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 10*o - 90 = 0. Suppose o = 9*r + r. Factor -2\/5*s**4 - 6\/5*s**2 + 2\/5*s + 0 + 6\/5*s**r.\nAnswer: -2*s*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101000151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 44*t - 334. Give b(27).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5445 + 3244 = -129*p + 3873 + 2440 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 9*j**2 + 4 + 2*j**2 - 8*j**2 to l*j + k + h*j**2 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s = -79*s - 4*g - 30, 0 = 4*s - 2*g - 78. What is the highest common divisor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23699591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1250262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27877.05 weeks in hours?\nAnswer: 4683344.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -4, 0 = 5*b - y - 144. Suppose -101 - 60 = -7*z. Suppose -420 = -z*m + 18*m. Calculate the remainder when m is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 29*f**2 - 163*f - 8. Let c be q(6). Let j be (14\/(-4))\/((-29)\/c). Solve 5*t + j = -4*v, -2*v + 3 = -t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -2*z**5\/5 + 59*z**4\/4 + 80*z**3\/3 - z**2 - 965. Find the third derivative of m(t) wrt t.\nAnswer: -48*t + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 0.22869\nAnswer: 0.0251559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -1) + 3 + 3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**3 + 2*n - 7*n + 6*n**3 + 23 - 16*n**2 - 12*n. Does 2 divide m(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -15. Let g(b) = -3*b - 3*b**s - b - b. Let o(z) = z**2 + z. Let k(a) = g(a) + 5*o(a). Let j(h) = 7*h**2. Give j(k(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*b**3 - 15 - 4*b**3 + b**3 with respect to b.\nAnswer: 111*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23710\/3309 - -3\/2206. Find the common denominator of j and 19\/292.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510 - 510 + 47*i**2.\nAnswer: 47*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 25*b + 14. Let y be (-364)\/(-3) - 8\/(-12). Let s = y - 110. Let f be g(s). Solve 4*t + f*w - 14 = 5*w, 0 = 2*t - 5*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3325, -3318, -3311?\n\"Answer: 7*z - 3332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q - 4. Let c(f) be the third derivative of -f**4\/4 + f**3\/2 + f**2. Suppose 9*r - 11*r + 8 = 0. What is r*i(a) + 5*c(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10918 - -17991. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31320 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 25\/33*y**3 - 5\/66*y**4 + 0 + 0*y + 1\/330*y**5 - 4*y**2. Factor s(z).\nAnswer: 2*(z - 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4968999105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - j**3 - 2*j**3)*(-j + 2*j**2 + j) + 2*j**2 - 2*j**2 + 2*j**5.\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 4. Let y = -7 - -7. Let g be r(y). Which is the nearest to 0.1? (a) g (b) -0.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q + 92. Suppose 10*g - 11*g - 24 = 0. What is the units digit of o(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from sana?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 10:23 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 49*j - 343. Suppose j*w = -2*t + 13*w + 448, 3*w - 940 = -4*t. What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33393686*g**3*n + 39952144*g**3 wrt n?\nAnswer: -33393686*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-47736)*170*13\/(-3).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*t + 156 = 42756. Sort t, -3, 3.\nAnswer: -3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 19*w - 86. Solve 0 = -d + 2*v - 2, 27*v = 5*d + 23*v + w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2231*i = -2227*i + 8, 2*m - 5*i = 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 1059703901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = o + 3*d, 51*o + d - 1068 = 47*o. Calculate the remainder when o is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6069 + 6089. What is the highest common factor of 215 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314973 is divided by 18523?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:18 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4365, 4358, 4349, 4338, 4325, 4310?\nAnswer: 4293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -s, -2*w + 4*s + 8 = 0. Let z(i) be the second derivative of 5*i**3\/3 - i**2 - i. Does 6 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 2. Let z be (5\/4)\/(6\/(-72)). Let y = -11 - z. Let p be i(y). Solve 0 = -5*j + p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 19. What is the smallest value in -5, 2\/7, -0.3, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. Let y = 3 + f. Let j = y + -14. Is j at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12480b6 (base 16) in base 13?\nAnswer: -3c823a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -5, -2\/77, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 6 + 2 + 2)*((10*u**2 + 24*u - 24*u)*(u + u - u) + 7*u**3 - 8*u**3 - 8*u**3) as z*u**2 + j*u + l*u**3 + g + w*u**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 0, -d - 2 = -2*d - 3*f. Let o = -2 - -3. What is the tens digit of 2\/d + o*18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*a - 2529, -2*p - 2*a + 745 + 931 = 0. Which is smaller: 840 or p?\nAnswer: 840","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12886*k**2*u - 507*k*u + 2*k + 2*u + 1 wrt k.\nAnswer: -25772*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -5*q**3\/3 - 235*q**2\/2 + 240*q + 220. Factor p(l).\nAnswer: -5*(l - 1)*(l + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 270*s + 2157. What is u(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 7. Let g be c(-5). Is (-112)\/(-5) - g\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-28) - 6\/21. Suppose 0*r - 5*r + 175 = w. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7709225042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -114 - (-12 - (40 - 53)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.483 - -4.717. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, -21, -0.07, -2, -4, 4\/7 in decreasing order.\nAnswer: 4.1, 4\/7, -0.07, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*z + 4, 22*z + 3*b - 18 = 26*z - z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -35*t + 1764. Let v = 1082 - t. Calculate the greatest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**4\/4 + 3*t**3\/2 + 243*t**2\/4 - 3*t\/2 - 60 = 0.\nAnswer: -8, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oootttootottoottttot. Give prob of sequence oo.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 199480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0275114317 to 5 decimal places.\nAnswer: 0.02751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 509175109 to the power of 1\/2, to the nearest integer?\nAnswer: 22565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1400000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -4 + 12 + -4. Suppose 2 = -x*q + 14. Suppose 4 = 2*m, q*m + 230 = 5*s - 2*m. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 8b3?\nAnswer: -8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9553\/228 - -134\/57. Let j = s - 1809\/44. Find the common denominator of -93\/38 and j.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 94*x - 747. What is g(-36)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(75)*-2) - (sqrt(75) + (sqrt(75) + (1 + sqrt(75) - sqrt(75)))*4 + 1*sqrt(75)*6 + sqrt(75)))**2*-2.\nAnswer: -2528 - 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3994.2126 seconds to weeks.\nAnswer: 0.0066041875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5*f**2 + 2. Let m be b(-5). Suppose 434 = -m*l + 4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Suppose 101 + 55 = -13*a. Let r(b) be the first derivative of 7*b**2 - 12*b + 8. Let i(t) = a*c(t) - r(t). Let z(h) = -12*h**2. Give z(i(s)).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19516 or -58546\/3?\nAnswer: -19516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 791961, 3167868, 7127715, 12671502, 19799229?\n\"Answer: 791970*o**2 - 3*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2. Let a(z) be the second derivative of 17*z**3\/6 + 25*z. Calculate a(f(n)).\nAnswer: -34*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 90 = 5*k. Let w = 25 + k. Suppose -4*l - 3*l**2 + 3*l + 3*l + w*l = 0. What is l?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -7996.\nAnswer: 31984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90.5 - -90.7. Let l = -0.7 - -0.2. Let c = l + 0.2. Sort c, 1\/3, s in increasing order.\nAnswer: c, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 291.8, -1, -5, 0.5 in descending order.\nAnswer: 291.8, 0.5, 2\/17, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1374 or 1371?\nAnswer: 1374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3 - 3. Suppose 1223*w = -1600 - 4515. Put w, -4, t, 5 in decreasing order.\nAnswer: 5, -4, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/((-168)\/20)*24 + -10 and -3\/50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/5, 2\/3, 9, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-5))\/(-18)*6*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3803*k**4 - 3406.\nAnswer: 15212*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 6*s**2 + 4*s - 9. Let f be q(-7). Let j = 18 + f. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479875?\nAnswer: 3, 5, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485208*z**3 - z + 138038 wrt z?\nAnswer: -2911248*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 10. Suppose s - h = -3*w + 6, -2*s + 10 = 0. Suppose w - 4 = -2*u. Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1.6. Let w = 0.6 - -0.4. Let t = w - 1. Which is the third biggest value? (a) t (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 230613.76 and 1.044.\nAnswer: 230614.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*137\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34992 - 23700.\nAnswer: -58692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -2 + sqrt(153) + sqrt(153) + 2 + (-6*(1 + sqrt(153)) - sqrt(153)) - ((sqrt(153) + -1)*-5 + sqrt(153) + sqrt(153)*2 + 1))**2.\nAnswer: 144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116180844 and 1044?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0449576 to 3 decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -54. Is 0.1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p + 25*p + 33*p - 61*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94193824 to the power of 1\/2, to the nearest integer?\nAnswer: 9705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 - (-2 + (-2 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 9:09 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 - 83. Let w = 0.2 + 1.8. Which is the nearest to w? (a) 0.1 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -16*d**3\/3 - 58484. Let b(i) = i**3 - i**2 - i + 2. Let n be b(0). Let p(w) = 2*w**n - 2*w**2 - 2*w**2. Calculate p(x(g)).\nAnswer: -512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 22, 1, -9 in decreasing order.\nAnswer: 22, 1, 2\/17, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((5\/335)\/1). Suppose -v = -q - 5*j, 386 = 3*q + j - 217. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 32 = -46. Find the common denominator of 142\/(-12)*(-3)\/(-6) and c\/(-12)*4 + 39\/90.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/4 + 44\/(-18). Let i be (18\/2 - 4) + (3 - 9). What is the closest to i in 5, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -223\nAnswer: -1\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -98, -180, -282, -410?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i + 1382 = 4*t, -1715 = -5*t - 5*i. Suppose 0 = -7*d + t + 1451. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.73 - -0.31. Let f = 0.04 - z. What is the biggest value in f, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 36300120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611703232?\nAnswer: 2, 3, 83, 54629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11*((-4)\/(-2) + -1). Let w be (-6)\/30 + -4*(-12)\/240. Solve 5*m = -f - 16, w*f = -3*m - 2*f - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 36, 57, 78?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -38. Let z(k) be the second derivative of 0*k**2 + 3*k - 1\/70*k**5 + j*k**4 + 0 + 0*k**3. Factor z(u).\nAnswer: -2*u**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -3)\/(3825\/(-6)). Let l = u + 471\/9775. Which is the nearest to 1\/2? (a) l (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 22319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 22. Let f(j) = 54411*j. Calculate s(f(k)).\nAnswer: 489699*k - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5423 greater than -3148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m + 2. What is k(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/15)*i*i*i*i*i**(-1\/10)*i*(i\/(i\/((i*i\/(i*i**1))\/i)*i))\/((i*(i**10*i)\/i)\/i) assuming i is positive.\nAnswer: i**(-187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 65072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 30*s + 3. Let y(u) = u + 1. Let p(j) = -9*j. Let a(f) = p(f) - y(f). Let c(k) = 8*a(k) + 3*q(k). Let l = -10 + 9. Determine c(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*(-9 + (-248)\/(-28)) - (-4)\/(-14). What is the third smallest value in o, -4, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 3038766.\nAnswer: 11\/1519383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5377094.9 from 2.\nAnswer: -5377092.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Let q be k*(0 - (-1)\/1). Let i be (-4)\/(-1 - (5 - 2)\/3). Solve -i*p = p + q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**(-42)*a*a\/(a**(-1\/21)*a)*a**(-31)*a assuming a is positive.\nAnswer: a**(-5018\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saoqnnnnnasnqalal. What is prob of picking 1 o and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18360.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2191*l*m**3 - 101*l*m**2*u + 441410*m**3*u + u wrt l.\nAnswer: -2191*m**3 - 101*m**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*((c**(1\/5)*c)\/c*c)\/c*c)\/(c\/c**(2\/7)))**(2\/13)\/((c**(-2\/3))**(1\/15))**(-6) assuming c is positive.\nAnswer: c**(368\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 455 (b) 3 (c) 10 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268399, 1073610, 2415629, 4294456, 6710091, 9662534?\nAnswer: 13151785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 4*b**2 + 5. Let f be o(4). Suppose -2*y + 1 = -3*y, 0 = 5*w + f*y - 15. What is the units digit of 2 - w - (0 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 0.0551?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 4) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (6 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25039 and 10.\nAnswer: -250390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) 4 (c) -6 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3\/3 - 11*m**2\/2 + 6*m - 6. Let g be (680\/(-510))\/((-4)\/30). Give t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1885 divided by 13\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 10:49 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j + 8*j + 9 - 5. Is d(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqqyztzzqzppqp. Give prob of picking 1 y, 1 p, and 1 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -2 - (6 - 2 - (4 + 6 + 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -16, -0.08, -3\/11, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:10 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -627395 by -5.\nAnswer: 125479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(396)*1 + 0 + 2 + sqrt(396) + sqrt(396) - ((2 + sqrt(396) + 2)**2 + (6*(sqrt(396) - (sqrt(396) + -1)**2) - sqrt(396)))).\nAnswer: -150*sqrt(11) + 1973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -4 - (-7)\/1. Let i be (6\/u)\/((-1)\/(-2)). Suppose i*z - 15 = -3. Solve -z*h - 2 = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1248704 + 2232023. Let v = z + -383319. Round v to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155857 = 1862*r - 1849*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzmhkkchkhkeehk. What is prob of picking 1 m, 1 h, 1 e, and 1 k?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o**2 - 2*o + 11. Let u(y) = -16*y**2 - 4*y + 9. Calculate 3*n(m) - 4*u(m).\nAnswer: 16*m**2 + 10*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 - a**3 - 3*a**3)*(a - a - 2*a) + (-15*a**2 + 15*a**2 + 3*a**3)*(0*a - a - a).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4. Let c(q) = -5 + 4 + 4. Let n be (-10)\/4 + (2 - 5\/2). Determine n*a(f) + 4*c(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*n - 8765 + 3962 = 338*n - 37103 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -2 + 2 - -1*2. Let s(z) = z**3 - z + 1471. Is s(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -4, -0.43, 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*m - 0. Suppose 0 = -t - 5*o + 5, -m*t - 3*o + 20 = -8*o. Suppose -l = r - 2, t*r - 10 = 4*l + 9. Is r bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -47. Suppose -k - 3*k = 3*o - 46, -2*k = 4*o - a. Is 256\/o + (-8)\/(-20) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/3 + 91183*g**2\/3 + 60791*g - 91185 = 0.\nAnswer: -3, 1, 91185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 13 + (-98 - -71)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1953*q**3 + 3*q**2 - 3*q - 5. Suppose 4*a + 0 = 12. Suppose -a*l - 3 = 6, 0 = 5*v + 5*l - 20. Let d be i(v). Round d to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2200, 8856, 19946, 35464, 55404, 79760, 108526, 141696?\nAnswer: 179264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)*y**2*(y\/(y*y**(-3)\/y)*y)**(1\/40))**(-9\/13) assuming y is positive.\nAnswer: y**(-137\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(((-2)\/(-5))\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 22. Let y = -36.2 - t. Let m = y + 21. Which is the nearest to -2? (a) -0.1 (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = -2*h. Let y = h + 5. Suppose y*j - b = 9, -3*b - b - 8 = -j. Solve -j*p = -p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 385971 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 26 = m, 5*x - 2*m = -88 + 110. Solve x = 10*n - 7*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2.659 (c) -1\/4 (d) -3 (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -3.5 (c) 570\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 3*p + 2. Let d be t(-2). Let o = 6 + d. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 36*l**2 + 2*l + 6. Let t be z(-6). Suppose -t = -4*m - 418. Suppose 4*w = 370 + m. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s*v*y**3 - 226*s*y**3 - 199*s - 31535*v*y**3 wrt v?\nAnswer: -s*y**3 - 31535*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(0*i**2 - i**2 - i**2)*(190*i + 588 - 588) to the form y*i**3 + g*i**2 + s*i + z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/3 + 1310*o**4\/3 - 5206*o**3\/3 - 1310*o**2\/3 + 1736*o = 0.\nAnswer: -1, 0, 1, 4, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v - v + 4*v)*(-3*v**3 + 2*v**3 + 0*v**3) + 25*v**4 + 5*v - 5*v)*(-v + 5*v + 2*v).\nAnswer: 138*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**5 - 12*m**4 + 18*m**3 - 12*m**2 + 4*m + 1. Let x(q) = q + 1. Let c(k) = f(k) - x(k). Suppose c(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 153575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2 (c) 37.1 (d) -0.1 (e) -39214 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 65*y + 198. Give g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 9:37 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - 117. Let w = 169 + x. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**4 + 4*d + 23*d**2 + 4*d - 20*d + 3*d + 7*d as c*d**3 + z + a*d**4 + h*d**2 + y*d and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285111 and 111879.\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/20 - 5*x**4\/12 - x**3\/3 + x**2\/2 + 6*x - 43. Suppose 3*j - 25 = 8*j. What is the tens digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 33, 33, 15, -27, -99, -207, -357?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 46. Suppose 3*f = -2*l - f + 12, -5*l + 2*f + h = 0. Suppose -w - l = -3*d, -22 = -0*w - 3*w - 4*d. Let a(c) = -c**2 - 2*c - 1. Calculate a(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -470076798 by -10001634.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022446.\nAnswer: 2, 511223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000374028 rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*z + 16 = -343*z. Solve -31*i + 36*i = 4*k + 10, -z*i - 3*k + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -52. Solve t*g = -g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from paalplzlplzzlllllpz?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 2*j**2 + 2*j + 1346. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/211267 and -46.\nAnswer: 211267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 5. Let l be j(7). Let p(c) = 4*c - 28. Let i be p(6). Sort -1, 5, l, i in decreasing order.\nAnswer: 5, l, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*k - 16, -14 = -3*m + 8*m + 3*k. Let y(b) = 2*b**2 + 7*b + 6. What is y(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181113261 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**3\/15 - 88*h**2\/5 + 7744*h\/5 + 359. Let g(i) = 0. Calculate i.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*b**3 - 119 - b**3 + 119 + (2 - 4 - 1)*(5*b - 2*b - 5*b)*(-b**2 - 2*b + 2*b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001081275 rounded to five decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (38416\/(-28))\/49*(-6)\/7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2 (c) -1\/4 (d) -2\/49 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227589170 and 40315.\nAnswer: 3665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -63.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*d + 249. List the prime factors of (-4)\/((4\/d)\/(42\/(-7))).\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4 - 1 + 6 + v**3. Let g be i(-1). Let b(p) = -5*p + 3*p + g*p. Let z(t) = -t**2 + 3*t. Determine 3*b(h) + 2*z(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5934 and 198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -3) + (8 - 7). What is the second derivative of -r*q + 2*q - 2*q**4 - 2*q**4 wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 517*g**2. Let w be (2\/6)\/(10\/(-30)). Is q(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 17*h - 9. Give y(-14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/(-72)*17\/(476\/(-280))*(-12)\/(-45)?\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12073 = 12074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/22)\/((-3)\/((-45)\/20))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 60*y + 649. Give b(-19).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(385))\/sqrt(7))\/sqrt(11) - -5*sqrt(55)\/sqrt(99).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*c - 22*c**4 + 2 + 33*c + 18*c + 5*c**2 to p + x*c**2 + q*c**3 + s*c + b*c**4 and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 254758 and 269433?\nAnswer: 116933922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.7 or 26\/9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030985432?\nAnswer: 2, 163, 790633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1942 + -866. What are the prime factors of c?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 2852 in decreasing order.\nAnswer: 2852, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l + 45. Let t be a(3). Let q(f) = f**3 - 8*f**2 + 8*f - 3. What is the units digit of q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(24*(-8)\/(-960))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288123483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15361 is divided by 298?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 12 - 397 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1140.00005091 - -1140. Round z to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18403*y - 36890*y = -18435*y + 988 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z + 1. Let r(k) = -7*k + 1. Let w(g) = -6*q(g) + 13*r(g). Suppose 0 = 3*u + 3*o, -3*u + 3*o + 36 = 6. Calculate w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 65 + (1 + -4)*2. Let r(p) = 28*p**2 - p. Let q be r(-1). Suppose 5*m = -4*n + x, 3*m = -5*n + q + 9. What is the greatest common factor of m and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-22)*o)\/o)**(1\/24)\/(o*o**(2\/39)*(o\/o**(2\/79))\/o) assuming o is positive.\nAnswer: o**(-1667\/24648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22425314 (base 6) to base 16\nAnswer: a7fce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3\/5, -0.2, -5, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((1771\/(-92))\/77).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14878 and 52589.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 12. Let d be f(8). Suppose 3*v - 12 = -0*v. Suppose -o + 22 = -v*l, l - 3*l - 3*o = d. What is the closest to 1 in l, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 90, 336, 814, 1602, 2778, 4420, 6606?\n\"Answer: 13*z**3 - z**2 + 4*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.3, 117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1056, -2054, -3014, -3918, -4748, -5486?\n\"Answer: 3*b**3 + b**2 - 1022*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 0 (c) -1\/3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -478.68206464 and -54.\nAnswer: -532.68206464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74078934*m**3 + 5*m**2 + 1029*m + 59.\nAnswer: -444473604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 7*p - 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 8:26 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.05, 248, 2\/5, 0?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -1466 + 457 - 671. Calculate the least common multiple of 441 and o.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/(i\/i**(-2\/11)))**(18\/7) assuming i is positive.\nAnswer: i**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 44 - 41 - 22 - 10.\nAnswer: 2*z - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3 + 25. Let b(o) be the third derivative of o**5\/60 + 5*o**4\/8 + 5*o**3\/3 - 62*o**2. Let p be b(n). Are -4 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(44))**2 + 5 + -1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -35*(-6)\/90*3\/1. Solve 2*y = -p - 0*p - a, -y + 5*p - 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 989603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -534.2 + 559.2. What is the second biggest value in -4, -2\/15, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 4. Let n(l) = l + 3. Let f(d) = 2*n(d) + 3*p(d). Let c be f(-6). Solve w - 4*w + t + 16 = c, -2*t = w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 234 in -1, -61, -2\/9, 2\/23, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30603552 divided by -6?\nAnswer: 5100592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 678607, 1357219, 2035833, 2714449, 3393067, 4071687?\n\"Answer: r**2 + 678609*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7183519 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: Is -156861 smaller than -156855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + (44 - 46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 94364*f - 2226141124 = 0. What is f?\nAnswer: 47182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.405 + -18.845. Round b to 0 dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1566 by 161.\nAnswer: 1566\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -7. Suppose 0 = -s + 5*s - 120. Is 5 a factor of 4\/(-3)*s\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 39703652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 231044 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -114*d**2 + 116*d - 70. Let u(m) = 39*m**2 - 41*m + 23. What is 6*a(x) + 17*u(x)?\nAnswer: -21*x**2 - x - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737\/41 >= 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*j*v**3*x + j*v**2*x - 2*j*v - 7*v**4*x + 7*v**2 + 8 wrt v.\nAnswer: -438*j*x - 168*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(468) + (sqrt(13)*3 - sqrt(13)) + 5)**2 + ((4*(sqrt(637) + 2 + sqrt(637)) - sqrt(637)) + 2)**2.\nAnswer: 1180*sqrt(13) + 36538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m - 8. Suppose 0 = 4*b + s + 2 - 14, 2*s - 12 = -2*b. Suppose 0 = 2*n, -b*n = t - n. What is f(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*d - 20 = 0, 3*x + 11 = d - 0. Put 3, x, 4, -1 in descending order.\nAnswer: 4, 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(99)\/(sqrt(33)\/sqrt(3))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.577 from 11437442.\nAnswer: 11437442.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*o - 74 = 0, -4*o - 1 = 7. Let j = 6 - 4. Let z be j\/8 - -33*(-3)\/(-36). Calculate the highest common divisor of s and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1204 + -1203.891. Let m = 0 - 0.009. Let s = t + m. Sort -2, 1, s in decreasing order.\nAnswer: 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17 + 2*b - 14 + 5*b - 15. Is a(8) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 7. Let p(j) = -23 + 79 - 25 - 30. Give -4*p(t) - w(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 2)*1\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1498841 and 20983774.\nAnswer: 20983774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v**4 - 12*v**4 - 13 - 2*v**3 + 11 - 11*v**4 - v**2 + 6*v in the form u*v**3 + m*v**4 + d + w*v + p*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255986 - 225014 = -k. Round k to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1975*n = 1973*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080\/(-7290)*6\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -379*v. Let c(n) = -280*n**2 + 46. Give k(c(q)).\nAnswer: 106120*q**2 - 17434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/21143 - -401729\/126858. Calculate the common denominator of 31\/7359 and c.\nAnswer: 14718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agx when three letters picked without replacement from vigavgxa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -116, -133, -186, -299, -496?\n\"Answer: -4*s**3 + 6*s**2 - 7*s - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b - 2478235 + 2478235. Let s(f) = -f**2 - 6*f + 6. Let p(w) = w**2 + 5*w - 5. Let o(k) = -6*p(k) - 5*s(k). Give m(o(x)).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*z**4 - 2*z**2 + 288 wrt z?\nAnswer: 48*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(19)*3) + 4)*3.\nAnswer: -6*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*i + 4*i - 3 = 0, -5*i = 15. Suppose v = -2*a + 36. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 - 2*g - 5. Let q be f(-5). Suppose 0*z = h - 2*z - 38, 109 = 3*h - q*z. Let x = -13 + h. Solve -3*w - 2*w = -x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y - 36. What is the lowest common multiple of 184 and n(-6)?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*((sqrt(1053) - (2 + sqrt(1053))) + 1 + 3*(sqrt(1053) + 2))**2.\nAnswer: -38005 - 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -61 = -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-1520)*5\/2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 14*p - 21. Let y be u(12). Let r be -3 + y + 8\/2. Solve 0 = -r*v + x - 12, 12 = -4*v - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 26*s + 54. Let w be u(24). Suppose 5*j - 131 + 8 = b, 3*j - 15 = 0. Let x = b + 100. What is the greatest common divisor of w and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 2*y**2 - y**2 + (4 + 0 - 3)*(15 - 19 + 1)*(-2*y**2 + 2*y**2 + 3*y**2) as s + f*y + o*y**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.11 - 6. Let b = k - -3.89. What is the closest to 0 in b, -2\/7, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3672 and -12.\nAnswer: -44064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -4)*20\/420. Which is the smallest value? (a) 7 (b) h (c) -2\/9 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -16*j + 10528. Let i = j - 381. What are the prime factors of i?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17945739.3 take away -28.56?\nAnswer: -17945710.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -5489?\nAnswer: 548a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 - 6*v + 37. Let r be k(7). Calculate the greatest common factor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99614702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201480 and 11316?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 2}. What is prob of picking 1 d and 1 v?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/7603802 and 93\/236.\nAnswer: 15207604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311066 = -14*c - 311080 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 + 3*n - 25. What is k(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12195367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 9 + 16*d)*(-d**4 + d - d).\nAnswer: -16*d**5 + 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272301?\nAnswer: 3, 139, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 506 + 80 + 426.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 7)*(-2*u - 2*u + 5*u)*(-4 + 4 - 5) to the form o + g*u and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-18))\/(-1)*-3)\/(-30).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpfggf. Give prob of sequence cgp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14557*t + 117. Let z be h(-19). Round z to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -706, -705, -704, -703?\n\"Answer: b - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (-64)\/24)\/(4\/(-234)). Suppose 2*h = -5*n + 460, h + 34 = n - 65. Let z = n - 54. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 2. Let g = 1 - y. Suppose 52 = g*a - 0*a + 2*q, 5 = -5*q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38853.81148 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407*y**2 + 377*y**2 - 286*y**2 + 129*y**2 + 223*y**2 to o*y**2 + d + t*y and give o.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 16)*(3 + -11). What is the greatest common factor of l and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*j**2*r**2*u + j**2*r**2 + 3400*j*r**2 - 14*j*r*u wrt u?\nAnswer: -73*j**2*r**2 - 14*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 8308\/1205?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*g - 5*g**2 - 109*g + (9 - 9 + 5*g**2)*(1 - 5 + 1) in the form l + m*g + d*g**2 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81114464, 81114465, 81114466?\n\"Answer: v + 81114463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2912, -2914, -2924, -2948, -2992?\n\"Answer: -t**3 + 2*t**2 - t - 2912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 67\nAnswer: -9\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 4 - (51 + -51)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10 + 6*p + 17 - 8*p. Let d = -61 - -86. Suppose -d = -2*k - 3*a, -a - 20 = -3*k - 2*a. Calculate w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -2, -3, 8 in increasing order.\nAnswer: -52, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116 - 72 - 76 - 93 + 8*s + 305 to b + d*s and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-6))\/(16\/111570). Let n = -5808 - d. Calculate the common denominator of n and (-1)\/35*15\/6.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -2243199980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4911137?\nAnswer: 7, 11, 63781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 2*i**2 - 3*i. Suppose 3*p = 2*r - 10, r - 2 = -0*r. Let d = 7 + p. Suppose 5*y + 7*k - 35 = 2*k, d*y - 20 = -2*k. Determine h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76155040 divided by 40.\nAnswer: -1903876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11304663, 0.3, -2 in ascending order.\nAnswer: -11304663, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -142 * -29205.\nAnswer: 4147110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132720 and 44520?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asxa when four letters picked without replacement from xxaxsaaaaaaxasxxxx?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139\/15334 - 1\/1353. Let m = n + 215\/1122. Let j = -0.3 + 0.2. What is the second biggest value in m, j, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 6, 0, -3186 in ascending order.\nAnswer: -3186, 0, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -24*f**2 - 429*f - 1732. What is k(-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8513, -8514, -8515?\nAnswer: -8516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**9\/s**10*s*((s**6\/s)\/s)\/s*s\/(s\/(s\/(s*s*s**13*s)*s)) assuming s is positive.\nAnswer: s**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030091.58ms to weeks.\nAnswer: 0.00170319375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 + 9165*x - 101178 = 0.\nAnswer: -3066, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 + w**2)*(2*w + 2*w - 2*w) - 1 + 1 + w**3 + 6*w**3 - w**3 + 6*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21 + -0.51. Let l(x) = 2*x - 1. Let u be l(0). Which is the smallest value? (a) y (b) u (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 1, 12\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0 + (0 - -2). Let k(m) = -1 - w + m**2 + 0 - 3*m. Let h be k(4). Which is smaller: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -617 + 223. What is the remainder when h is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 5*v - 4. Let x be h(3). What is the smallest value in -9, x, -0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2364 divided by -591\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 + 28\/(-12). Let k(m) = -6*m. What are the prime factors of k(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*o - 339*o = 3*u, -2*u = 2*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:46 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -282.\nAnswer: -7\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1794)\/(-120) - 15 - (0 - 116\/80)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - -3?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 1285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-17))**(-48)*b**(-3\/8)*b**(-2\/59)*b)**(-16) assuming b is positive.\nAnswer: b**(-770862\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -9 - 2 - (-3 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) + 4))*6 + (1 + sqrt(192))*-4)**2.\nAnswer: 1792*sqrt(3) + 3856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 2*f + 4. Let d(y) = y**2 - y - 1. Determine d(u) - o(u).\nAnswer: -u**2 + u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 20. Let d = a - 3. Find the third derivative of 2*l**5 + 3*l**2 - 12*l**4 + d*l**4 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12164?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -15. Suppose -3*z + 5*z = 14. Suppose 0 = 5*p + k - 7, 0*k = 4*p + 5*k + z. What is the smallest common multiple of j and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6776 divided by -242?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23, -27, -35, -47, -63, -83?\n\"Answer: -2*k**2 + 2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1891895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5962 - 5963. Let o(y) = y**3 + y**2 - y + 1. Let m(n) = -14*n**3 - 12*n**2 + 28*n - 12. Determine i*m(t) - 12*o(t).\nAnswer: 2*t**3 - 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267744 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = k. Suppose 4*l - 3*b = 2*l + 1, -k*l - 3*b + 11 = 0. Calculate the lowest common multiple of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 2*j - 27. What is the tens digit of i(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 24026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8054*l**6 - 2*l**5 - 4*l**2 + 1960?\nAnswer: 966480*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 6*h - 1 = 2*c, -h + 5 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*o - 170*o = 35. Suppose o*d - 3177 = -f, -5*d + 2*f + 1826 = -1345. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:37 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**3 - 5*w**4 + 10*w**4 + w + w**4 - 7*w**4 + 2*w**2 + 1 to the form t*w + k*w**3 + s + c*w**4 + m*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -303, -727, -1271, -1935, -2719, -3623?\n\"Answer: -60*z**2 - 244*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864974222?\nAnswer: 2, 7, 61783873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 - 7*o + 2. Let d be u(5). Suppose -w + 4*k = 1 + 3, 0 = 4*w - 2*k + 2. Let l = w - d. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31523216 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = -3*b - 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by -561.\nAnswer: -112\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.1. Let j = 1\/72599 + 72595\/290396. Which is the third biggest value? (a) r (b) j (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n - n**2 - 2*n - 10*n + 45*n + 2*n**2.\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604046004?\nAnswer: 2, 11, 36455591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:36 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 87 = -2*h, 0*m - 2*m + 249 = 5*h. Calculate the greatest common factor of 170 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7621 = -3*j - u, -4*u + 4 + 0 = 0. Is (j\/(-15))\/(6\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454355 = 72043*a - 68288*a for a.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 32*i**2 - 27*i + 1419. Give z(-34).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*(-6)\/(-2). Let o(r) be the first derivative of -r**3\/3 + r**2\/2 + 2791. Let x(a) = a**3 - 5*a**2 + 4*a. What is w*x(d) + 4*o(d)?\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + -1*sqrt(153))*6 - (3 + 4*(sqrt(153) - sqrt(153)*-1) + 2*(sqrt(153) + 0 + sqrt(153))))**2.\nAnswer: -216*sqrt(17) + 49576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -8*g + 3*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -383 - -398 - (4 - -28)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 2. Suppose w - 9 = -2*w. Let a(m) = -m - 1. Let z = 12 + -10. Suppose -n - 12 = -4*s, 2*n = 3*s - z*n - 22. What is s*c(i) + w*a(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188332 is divided by 2049?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-746 + 1099 - 1570 - 451)*(-l + 2 - 2) to the form r*l + b and give r.\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -323 + 57?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6858843 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 q(s) = 119*s**3 + 360*s**2 + 241*s + 4. Let i(d) = -476*d**3 - 1441*d**2 - 964*d - 17. Let w(v) = 2*i(v) + 9*q(v). Factor w(f).\nAnswer: (f + 1)*(f + 2)*(119*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 12*a - 3. Let z be n(-11). Let d be (-574)\/(-11) + z\/(-44). What is the greatest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/240 - 17*q**4\/96 + 2*q**3\/3 - 61*q**2 - q. Suppose f(l) = 0. Calculate l.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145841 = 17711*y + 1749236 for y.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - -1*(1 - 98\/(-35)). What is the smallest value in -0.04, i, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*v + 21, -v + 2724 = 4*k + 2744 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3131\/16056 - -1\/1784. Let g = -5\/9 + q. Let y = 1 + 4. Which is the biggest value? (a) g (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttuutwuturrttts. Give prob of picking 1 w, 1 u, and 2 r.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 5, 2, 0, -1 in descending order.\nAnswer: 5, 2, 0, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3.1, 12\/19, -2\/5, -0.5 in descending order.\nAnswer: 12\/19, 1\/6, -2\/5, -0.5, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-n**2 - n + n) - 87*n**2 + 48*n**2 + 48*n**2 - 5*n**2 + 2*n**2 + n**2 + (2*n - 4*n + n)*(4*n - n - 2*n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.307 in 1, -6, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 668 + 229 = 0. Let j be 10\/(-45) - x\/9. Suppose -j - 53 = -2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 17*g - 106. Let z be y(-22). Let v be (-2)\/4 - 1174\/(-4). Suppose z*a = 5*a - v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16875*a**4*g + 345*g + 14 wrt a?\nAnswer: 67500*a**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 806108\/22065 - (0 + 36)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 10 (c) 0.1098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*x - 5*x + 92 = 0, -3*x = 3*l - 60. Calculate the greatest common factor of l and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.434 take away 69?\nAnswer: -272.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6) + 3 + -5 + 15 + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10054)\/1*621\/(-6). Suppose -17*v = -18*v + 1770589. Let s = u - v. What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 1622521.\nAnswer: 3245042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**6\/2 - t**4\/12 - 183*t**2 + 501*t. What is the derivative of m(g) wrt g?\nAnswer: 60*g**3 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y - 9. Let c be u(-2). Let j(g) = -g. Calculate j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukqq when four letters picked without replacement from {k: 4, d: 3, q: 2, u: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/11 (b) 1 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 + -1000?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-5)\/(-3))\/(-5 - 360\/(-54)). Let c = -6.03 + 0.03. Let v = -3 - c. Sort -4, u, v in ascending order.\nAnswer: -4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45857.2 to the nearest one hundred.\nAnswer: -45900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*f = 7, 74 = -5*d - 5*f + 59 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7065*w - 4 = -6*f - 7063*w, 0 = -4*f + w + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, z: 9, o: 2, g: 2}. What is prob of sequence woww?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 5*q**2 + 3*q**3 - 8*q**2 - 1 + 2*q**3 + q**2. Determine n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + (sqrt(34) - (sqrt(102)\/sqrt(3) - sqrt(34)))*5)\/sqrt(2))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 28*d**2 - 91*d + 34. What is l(-31)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 6*r - 14. Let i be j(7). Which is smaller: i or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*i**2*v + i**2 + 158*i*v - 9644*i + 2*v wrt v?\nAnswer: 34*i**2 + 158*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -817.6 to the nearest ten.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365 - 545. Let y be (-2)\/(-4) - o\/24. Let i(k) = 5*k**2 - y*k**2 + k**2. Let n(s) = -2*s**2. Determine i(n(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0836 and -529?\nAnswer: 44.2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (1 - -1)*-1. Let n = 40 + z. Calculate the remainder when n is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t - 54*t + 44866 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + -8 - 1 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2629 - -52593\/20. Calculate the common denominator of p and -149\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 20150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b*b**(-11))\/(b\/b**(1\/24)*b**(1\/38)) assuming b is positive.\nAnswer: b**(-3185\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*g - 1073 = -2*o, 5*o - 1355 = -g. Calculate the highest common divisor of o and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 7*r + 18. Let m be g(4). Suppose -32*z + m*z + 370 = 0. What is the highest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 276*j + 2 = 3*g + 271*j + 10, -3*j + 32 = 13*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172021412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0 - -3)\/2. Suppose -t*l = -5*l + 9. Let b(r) = r**3 - 14*r**2 + 15*r - 26. Let q be b(13). Solve 0 = x - q*x - l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 155191 from -5181081260.\nAnswer: -5181236451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 17971519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*b**4 - 245*b**4 - 52*b**4)*(-18 + 5 + 5).\nAnswer: 1312*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - (-27 - -11) - -55.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 4*c - 16, -4*c = 47*f - 54 + 246 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12750999 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -669*a*n**3 + 90*a*n**2 - 42393*a*n + 2*n**4 - 97 wrt n?\nAnswer: -4014*a*n + 180*a + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**3\/6 + 3*v**2\/2 - 4*v. Let w be q(-6). What is the highest common factor of 27 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888930.\nAnswer: 2, 3, 5, 7, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1027.2 and 14029.\nAnswer: -14410588.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -30. Suppose 2*f + 2 + 0 = -t, -f = 5*t + 1. What is the remainder when 1*(f - -1) - -35 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*t - 39. Let r be ((-8)\/6)\/((-1)\/(-3)). What is the units digit of (t\/r)\/(1\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:24 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from wwwwwwwppwpwpw.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20031103 + 0?\nAnswer: -20031103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139154123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqooorqgqogrqqoogoqq. Give prob of sequence rgo.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (1 - (-4 - -5))) + -66 + 63.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12194629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, j: 1, r: 1, a: 1, t: 3}. What is prob of picking 1 h, 1 a, 1 j, and 1 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 - 5 = 0. Let x(a) = a**2. Let q(d) = -3*d**2 - d + 10. Let k be q(0). Let b(p) = -6*p**2 - k*p**2 + 20*p**2. Determine g*b(r) - 5*x(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(-1*(0 + sqrt(171)))**2 - ((4*2*sqrt(171) + sqrt(171))**2 - 1*(sqrt(171) + (sqrt(171) + -1 - sqrt(171))))).\nAnswer: -12826 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j + 3*j + j + 9*j**5 + 0*j wrt j.\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -4813fb6?\nAnswer: 4813fb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1538919864 - -0.54\nAnswer: 0.6938919864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19828704 and 5218080?\nAnswer: 99143520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/11, 2\/15, 22242?\nAnswer: 22242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 6*j + 10 = 0. Let u = -175 + 448. Suppose -3 = t, -7*g + t = -j*g - u. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*p - 5, -p - 1 = r - 4*r. Which is the biggest value? (a) -2\/15 (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 46. Which is the closest to -1? (a) h (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.25\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.73 + 4.13. What is the nearest to 2 in x, 2\/19, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*c = -286*c - 98. Suppose 0 = -c*s - 7*s + 336. Solve s - 1 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -69. Let r(o) = -5*o - 2. Let t be r(-1). Solve t*a + 3*c = -k, 4*a = 2*a + 4*c + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 21875067. Let c(w) = -2*w**2. What is j(c(s))?\nAnswer: -4*s**2 + 21875067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 17*l + 2. Let a be r(0). Solve -2 = 2*v + 4*k, 0 = 5*v + a*k - 0*k - 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (128\/(-12))\/(4\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12*c**2 + c + 1. Let y be v(-1). Let p(o) = o**3 + 19*o**2 + 18*o + 2. Let x be p(-18). Solve -2*k = -4*m + y, -x*m + 2*k = -2*k - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20443 is divided by 413.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 337*y**2 - 176*y - 1344. Determine b(-168).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4506\/13 - -347. Let j = -29\/143 + w. Suppose -165*i + 198*i - 165 = 0. Put j, i, -5\/4, -0.2 in decreasing order.\nAnswer: i, j, -0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 + 2*f**2 + 11*f - 9. Let v(p) = -3*p - 7. Let c be v(-4). Let d be i(c). Round d to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1027110 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 19*t**4\/4 + 2*t**3\/3 + t**2 + 2*t - 1976. Let s(d) = 153*d**3 + 17*d**2 + 17*d + 17. Give 17*p(j) - 2*s(j).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/27 and 5\/21*3864\/(-1365) + 1?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198791 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 757 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*w - w + 22, 3*u = -4*w + 26. Solve -45 = -5*j - 0*l - 4*l, -u*j = 5*l - 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16281\/2 - -7878. Let z = b + 6813\/26. Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, -14, 1, 5, 320, 2 in decreasing order.\nAnswer: 320, 22, 5, 2, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 3, 2*i + 10 = 4*u. Let b(a) = a**2 - 6*a + 4. Suppose 3*s = 32 - 11. Let p be b(s). Solve -7*d = -3*d + 2*l - 18, 5*l = u*d - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from rbkkkkjkkjbrkjk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*n - 11 = -5, -2*n = 6. Let w be 9 - (2 - (0 + 1)). Suppose -5*g + w - 3 = z. Calculate the greatest common divisor of 11 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -0.1. Suppose 2*k = 9*k + 28. Let z = 109 + -109. What is the nearest to h in z, k, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46901, 93785, 140669, 187553?\n\"Answer: 46884*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 7*p + 8. Let k be 4 - -2 - 1 - -1. Calculate t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 107*m**3\/3 - 29*m**2\/2 + 99. Find the second derivative of y(n) wrt n.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45762 - 45764. Is 2\/129 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1566 = 13*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-705004 + 3)*-4 + -4. Round j to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -47\/3, -5, -0.5, 0.05, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8410756?\nAnswer: 2, 271, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -560*s + 6185. Let k be o(11). Solve -b - 25 = -34*y + 29*y, -k = -4*b - 5*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 5 + -2 + (1 + sqrt(5) - sqrt(5) - sqrt(5)) - ((sqrt(270)\/sqrt(6))**2 - (sqrt(5) + (4 + sqrt(20))**2 + sqrt(5)))).\nAnswer: -68*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.25 - 21.25. Let n = 16 + -29. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + -17. Let v = -24 - b. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -471058601990.\nAnswer: -471058601994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j*j**1*j))*j))\/j**(-13))\/(j**(-10)*j*((j**(-5\/4)*j)\/j)\/j*j*j) assuming j is positive.\nAnswer: j**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 74.7. Suppose -5*w = -3*k - 1, 5*k + 3 = w + 3*k. Which is the closest to u? (a) -1\/8 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and 77\/201?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((12 + -7 - 5) + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7 - 13 = 0. Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*w - 1004, u + 3*w = -4*u + 1257. Let m be ((-144)\/u)\/((-4)\/42). Solve -3*s = 5*j - 8, j - m + 1 = -4*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 4*x**2 - 13*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/2)*w**(-6\/5)*(w**3)**28)**(-2\/25) assuming w is positive.\nAnswer: w**(-843\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668824, -668885, -668946, -669007, -669068, -669129?\nAnswer: -669190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29997003 = 3*n + u - 92402996, 4*n + 4*u - 163199996 = 0. What is n rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 72 (c) 2\/39 (d) 6 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27691 (base 11) to base 15\nAnswer: -ba35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 7 - 26. Suppose -6*g - 3*i - 33 = -3*g, g - 3*i = -n. Let l(c) = c + 7. Give l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1073666 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -8 + 281 + -248.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - 3*f)*(-4*f**3 + 2*f**3 + 3*f**3) + (5*f**3 - 4*f**3 + 4*f**3)*(2*f - 4*f + f).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 154601 (base 7) to base 12\nAnswer: 1577b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 719*g**4 + 908*g**3 - 538*g**2 - 904*g - 181 = 0.\nAnswer: -1, -1\/4, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h**3 - 204*h**2 - 37*h + 141. Calculate w(14).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2724 * 7\nAnswer: -19068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from jwxjxwwjxwtjvwz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthiiyiyhi. Give prob of sequence ihy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-42)*19\/((-665)\/14). Let l = -0.13 + 1.17. Let z = 0.04 - l. Which is the closest to n? (a) z (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -314, -319, -334, -365, -418, -499?\n\"Answer: -x**3 + x**2 - x - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 1057*t - 1058. Calculate i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/(-100) + (0 - 93\/(-16)) and (122\/(-32))\/(-1) - 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 33 + 47)*(3*d + 0 + 0)*(-4*d + 2*d + 0*d).\nAnswer: -438*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 0) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-2\/9)\/a)\/a*a\/(a\/(a\/a**(-1\/6)*a*a))*a)\/(a*a\/(a**(-2\/3)*a*a*a)*a**(-6\/5)))\/(a**(-3\/5)*a\/a**(-1\/14))**(-12) assuming a is positive.\nAnswer: a**(1403\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001818303 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8\/520*-13.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 572 = 5*s + 188, 2*t + 4*s = 256. What is the least common multiple of 100 and t?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 401*a - 395*a. Solve -9*p = 1 + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16544949 is divided by 1185?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -794\/3157 + 20\/287. Which is the closest to -19? (a) -0.3 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2. Let t(p) = -343*p. Calculate t(n(a)).\nAnswer: -686*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -19*c**5\/30 + c**2 + 4*c. Let y(b) = 4*b. Calculate l(y(z)).\nAnswer: -608*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1551 - -1551.00002785. Round j to 7 decimal places.\nAnswer: 0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 45\/(-13) + 920\/(-92) + 226\/39.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*g - 172*g + 17 = 4*z, -3*z + 21 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 533 (c) 5 (d) -2.8 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30728639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-4\/3)\/l*l*l*l))\/l*l*l**(1\/12)*l assuming l is positive.\nAnswer: l**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982 a factor of 117330436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 407499333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.6 + -3.2. Which is the nearest to -1\/4? (a) 1\/3 (b) 0.03 (c) 0.5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 8. Let h(s) = 5 + 2*s + 8*s**2 + s**3 + 1 + 3. Let f be h(-8). Is y(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsaug. Give prob of sequence qagu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 65373 (base 10) to base 15\nAnswer: 14583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3005)\/12020*(16\/6)\/4*(-15)\/95?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 155 + 19*o + 50 + 51.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-70)\/30)\/((-2)\/54). Calculate the greatest common factor of r and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1305*q**4 + q - 198?\nAnswer: 15660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -208*r**4 - 232140*r**3 + 1388320*r**2 + 1714500*r + 94248 = 0.\nAnswer: -1122, -1, -3\/52, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33564187 is divided by 2326.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - -145. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -348898723.0000045 - -348898824. Let b = t + -101. Round b to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 0*f + 0*f - 3 + 2 + f - 2 + (f - f - 2*f)*(4 - 2 - 3) - 5*f + 4*f + 0*f + (65 - 65 - 3*f)*(168 - 209 + 168).\nAnswer: -378*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -6\/17, -6, 1, -2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 5*w + 1. Let k be u(6). Let i(c) = c**2 - 8*c + 9. Let g be i(k). Suppose 0*a + g*a - 4 = 0. What is the least common multiple of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 31, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15699.50265 rounded to the nearest one hundred?\nAnswer: -15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/9 - 124364*n**3\/9 + 859092640*n**2\/3 - 17790939447956*n\/9 - 196012350113602\/9.\nAnswer: 2*(n - 20731)**3*(n + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -84845009 and 3.7?\nAnswer: 84845012.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8 + -5. Let g = -87577 + 350309\/4. Let v = -0.3 - -0.4. Which is the nearest to n? (a) g (b) 2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 397 - 405.65. Let y = -0.35 + g. Let m = y - -9.4. Put -0.2, 2, m in ascending order.\nAnswer: -0.2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(-20 + 22).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0063090461 to 5 dps.\nAnswer: 0.00631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 18*d - 14. Let b be c(17). Suppose -b*s = -4*j - 2535, 4*s - 5193 + 1844 = -5*j. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4) + -1)*432\/(-360).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14287912 is divided by 1901.\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -14 + (0 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = 2, 0 = -2*l - 4*q. Suppose l*c = 6 + 2. Suppose 0 = 6*d - 13 - 53. Calculate the remainder when d is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -70*k + 76*k. Solve -5*o - q + 24 = 0, 4*o - k = 4*q - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1.47\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9367 - 20099 = -9*i. List the prime factors of i.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b = -3*a - 19, 2*b + 2*a + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*n**2 - 579 + 286 + 298 to d*n**2 + v*n + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -32*t**2. Let a(s) = -145*s**2 + 48*s. Let b(k) = -64239*k**2 + 21252*k. Let m(r) = 1771*a(r) - 4*b(r). What is m(j(o))?\nAnswer: 164864*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d + 150. Let a be (-60)\/(-14) - d\/(-105). Sort a, 5, 7.\nAnswer: a, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7933, 20207, 32483, 44761, 57041, 69323, 81607?\n\"Answer: s**2 + 12271*s - 4339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -2)*5*-2. Let n = x - 13. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -42, 143, 414, 777?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 4*f + 4*f)*(5 - 2*f**2 + 105*f - 105*f)*(-3*f + 3 - 3)*(2 - 1 + 1) to v + s*f**3 + z*f + y*f**2 + m*f**4 and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -15 (c) -0.2 (d) -0.3 (e) 0.79 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - h - 2 + 28 = 0, 3*h = -2*s + 18. Calculate the greatest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-92)\/(-10) - 44\/(-55). Let r = 20 + n. Calculate the smallest common multiple of 10 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/10 + 33*x**3\/10 + 3709*x**2\/10 - 105213*x\/10 - 946764\/5 = 0. Calculate x.\nAnswer: -56, -13, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -8 - (-24 - -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82740 and 151690.\nAnswer: 910140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8367)\/47413*17\/(-279)?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 3. Let i be -9 - -12 - 1\/1. Suppose -o + a = 5, -i*o + a = 3 + 6. Determine v(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 - 2 - 11)) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.081 + 0.181. What is the closest to -1.8 in 0.5, f, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10471 >= -499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**2. Let i(c) be the first derivative of 2*c**3\/3 - 35*c + 171. Calculate i(o(z)).\nAnswer: 128*z**4 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5719488229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 271*h**8\/112 + h**7\/105 - 37*h**5\/60 + 7*h**4\/24 - 2*h**2 - 5*h. What is the third derivative of f(b) wrt b?\nAnswer: 48780*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*473\/(-1505)*(20\/(-6))\/(1\/3).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124302.\nAnswer: 2, 3, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 4*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = 6. Let d be (45\/20)\/(3\/q). Let f = 12 - d. Solve f = 4*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 10*s**3 - 4*s**2 + 3*s. Let x be a(2). Suppose 0 = -4*d + 3*m + 390, 2*m = -d + x + 22. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/906 and -71\/150?\nAnswer: 22650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -337*c + 3. Calculate t(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 14. Let y = 1 - b. Let i = 4 - y. What is the highest common factor of i and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 19849, -46, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (13 - 26 - -7 - -9) + (3 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0196 times 4\nAnswer: 0.0784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 202564, 405120, 607676, 810232, 1012788?\n\"Answer: 202556*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75421 + 17777?\nAnswer: 115420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7072 and 28696.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091124096.\nAnswer: 2, 3, 19, 149551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17093, 16904, 16705, 16490, 16253, 15988, 15689?\n\"Answer: -k**3 + k**2 - 185*k + 17278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -16\/7*f**2 - 8\/7*f - 10\/7*f**3 - 2. Determine t, given that r(t) = 0.\nAnswer: -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6374 and -202327?\nAnswer: 208701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/694985873 and -16\/265.\nAnswer: 3474929365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*z - 12, 3*f + 4*z = -2*f - 2. Let b be ((-1)\/14)\/((-1)\/f). Let x be 1\/3*(1 - 4). Sort x, -2\/3, b.\nAnswer: x, -2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 8*p - 1. Let b be w(6). Suppose -2*g + 11 = -b. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1117023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 41*p**3 + 3*p - 2. Let z be h(1). Find the first derivative of 42*t**3 + 7 + 7 - z*t**3 + 26*t**4 wrt t.\nAnswer: 104*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**3 + 55*s**2 - 202*s + 284. Let r(f) = -8*f**3 + 54*f**2 - 202*f + 276. Let a(o) = -7*r(o) + 6*u(o). Let a(p) = 0. Calculate p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = -l, -3*l + 2*j - 21 = -28. Let g = -1 + 1. Let o = g - -3. Solve b = -l*d - 25, -2*d + 4*b = -o*d - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22060?\nAnswer: 2, 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let u(c) = c**2 + 4*c + 4. Let k(f) = 4*l(f) - u(f). Suppose -2*h - 8 = -3*y, h + 5*y + 6 - 2 = 0. Let d be 2\/(-4) + (-6)\/h. Calculate k(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - w + 2*w = 128, -2*c = 4*w - 78. Let t = 70 - 59. Suppose -t*i + 9*i + 32 = 0. What is the remainder when c is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585409.\nAnswer: 11, 19, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 29*l + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*g - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**16)*(w\/(w*w\/(w**(-6\/11)*w)*w)*w)\/w assuming w is positive.\nAnswer: w**(159\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 773284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1914 and 7040.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*u**2 - 47*u**2 + 0*u**2 - 32*u**2.\nAnswer: 106*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696 is divided by 300?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.01 + 8.41. Which is the fourth smallest value? (a) 27 (b) 0.2 (c) x (d) 1 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -3.1077 to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**3\/3 - 65. Let d(x) = -19*x**2 - x. Calculate d(g(z)).\nAnswer: -19*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**2 + 3*x**2 - 4*x**2 + 7*x**6 wrt x?\nAnswer: 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 3, g: 1, o: 13}. Give prob of sequence oogd.\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 42, 91, 168, 279, 430, 627, 876?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 8 - (-14 - -17)) + -7 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**7\/2520 - w**6\/240 - w**5\/10 + 4*w**2. Let k(f) be the third derivative of z(f). Differentiate k(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -19.09. Let j(c) = -c**2 + 5*c + 6. Let s be j(6). Let h(a) = 5*a**3 - 28*a**2 + 22*a - 34. Let t be h(5). What is the nearest to s in t, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850495?\nAnswer: 5, 170099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 95. Let l(t) = 94*t**2 - 2. Give o(l(d)).\nAnswer: 658*d**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 1:04 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1903*q + 2 = -1904*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 312203002 + -10?\nAnswer: 312202552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 193. What is j(12)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48500282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/12 + 3*l**3\/2 - 4*l**2 - 2*l. Let j be 12 - (-4 - (-36)\/8)*10. What is i(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*n - 3, 5*n - 6*z - 30 = -z. Let t(f) = f - 4. Let m be t(n). Let h(s) = -s**3 + s + 1. What is the units digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -676 - -675.8. Which is the third biggest value? (a) -3 (b) 1\/9 (c) m (d) -9.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 2*sqrt(76)*1)**2.\nAnswer: -1252 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456\/(-30)*-5*11\/22?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+-104.4\nAnswer: -105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 9. Let q(o) = -278 + 278 + 12*o**2. Calculate r(q(l)).\nAnswer: 36*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19737.4100221 plus -7487?\nAnswer: -27224.4100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4 - y**3 - 4*y**2 - 3 + 3*y**2 - y. Suppose 2 = -2*n - 2. Let w be (-2)\/(-3)*3\/n. Let x(m) = -2*m**3 - 3*m**2 - 5*m + 4. What is w*x(j) + 3*f(j)?\nAnswer: -j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1097 divide 27666861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -175358, -350716, -526074?\n\"Answer: -175358*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -660 - -320. Let m = n + 712. Is (m\/30)\/((-2)\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 19. Let m be (-4 - 0) + 1 - 0. Sort m, q, 8.\nAnswer: m, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105817238.59 rounded to the nearest ten thousand?\nAnswer: 105820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 4 + (0 - 4 + 6)*(-2 - 3 + 3) - 1 - 2 + 5)*(-2*f**3 - 11*f**3 + f**3).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558 is divided by 257.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.97 in -1, 8, 20, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492090 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/6)\/(6\/(-9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/6)*y)\/y)\/(y*y*y**(-2\/15))*y**(-1\/3)*y*y*y\/y**6)\/((y\/y**(-2))\/(y\/y**(-1\/5)))**(1\/3) assuming y is positive.\nAnswer: y**(-179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3079500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - 65 - (-1 - (88 - 49 - (6 + 0))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, 17, 73, 145, 239, 361, 517?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130398007?\nAnswer: 17, 19, 29, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*n + 30, 0 = 2*n + 3*n - s - 45. Let r(g) = -6*g**2 - 9*g**2 + 8*g**2 + 12 - 10*g - 1 + g**3. What is r(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y**2 - 3*y + 15. Let k be v(-7). Calculate the highest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1845546384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 13983*y**2 + 6142920*y - 645833484.\nAnswer: -3*(y - 206)**2*(y + 5073)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {f: 2, s: 2, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.8. Let o be (6\/(-150))\/(1\/(-7)). Let c = -1\/175 - o. What is the third smallest value in c, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:03 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4*(-9)\/18*-31. Let v = 201\/56 - h. What is the nearest to v in -0.009, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 + 2967292*z - 44510280 = 0. What is z?\nAnswer: -741838, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 5 + (-5)\/1 - -5. Let q be v - ((-8)\/32)\/((-2)\/24). Let r(n) = -n - 2. Calculate r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 + 17*i - 11. Let j(g) = -2*g**2 + 9*g - 6. Let s(y) = 7*j(y) - 4*m(y). Determine s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11496 - 11492. Solve v + 0 = -h*t - 5, 10 = -2*v - 5*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5919*-0.4.\nAnswer: -2367.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 81 = 464. Let v = 114 - h. Suppose 2*x + 5*g - 557 = 0, -4*x + 1179 = -v*g + 2*g. List the prime factors of x.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Which is the smallest value? (a) 9 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 49?\nAnswer: -48.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254879*a**6 + 123*a**4 + 58946035*a**2 wrt a.\nAnswer: 30585480*a**3 + 2952*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3704, 3783, 3862, 3941?\n\"Answer: 79*p + 3625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137878 is divided by 58.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18523 - -18283 - (-1 - 113).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3358 + 3357.84. Which is the nearest to y? (a) -2\/15 (b) -3\/2 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 10*r + 3. Let q = 21 - 12. Let i be o(q). Let h(v) = v + 1. Determine h(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222663033 - -5?\nAnswer: 222663041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*q**2 + 38*q**2 - 16*q**2.\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from chppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4100 = 5*g - i - 222, -3*g = 2*i - 2588. Is g a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 + 2*t + 2. Let q be y(-2). Let c = -156\/35 - -477\/70. Let r = -20\/7 + c. Is r at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -104, -114, -142, -194, -276, -394?\n\"Answer: -y**3 - 3*y**2 + 6*y - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(50\/(-4)))\/(-6*1\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*2)\/((sqrt(11) - -2*sqrt(11))*-5).\nAnswer: -2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -74. Which is the third biggest value? (a) 2\/33 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/14*161\/(-460)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, 1\/5, -22\/31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - (-7 - -5 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -82318.992746 + 0.1\nAnswer: -82318.892746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let q = -6 - -9. Let n(i) = q*i + 2*i - i - 6*i. Determine h(n(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959866464.\nAnswer: 2, 3, 53, 188653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 7) in base 8?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 10) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from meqmeeeqqeqmeqqeqee.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -2*j**2 + 2*j - 3. Let p = 68 - 69. Let q(l) = l. Give p*x(c) - 3*q(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2045 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2092706.17 - -8.311\nAnswer: -2092697.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2197621575 to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 58 = -2*d, 5871*d - 5876*d + 55 = 5*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2392 - 35893\/15. Let o = q - -1\/5. Which is the third biggest value? (a) o (b) 0.1 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16904*-6.91.\nAnswer: 116806.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/u**13))\/u*u))\/(u\/(u**(7\/3)*u)))**(1\/30)\/((u**(-1))**(-22)\/(u*u**0)**43) assuming u is positive.\nAnswer: u**(1861\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570, -825, -1080, -1335, -1590, -1845?\nAnswer: -2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 33287*b**2 - 2*b + 2. Is r(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -286 + 281. Let a(v) = -16*v. Let h(l) = -32*l. What is p*a(m) + 3*h(m)?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18144.1 - 18144. Which is the third biggest value? (a) -2\/7 (b) 8.9 (c) -5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/7))**(-2\/79)*p**(-33)*p**(-9) assuming p is positive.\nAnswer: p**(-23214\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 135 = 2*j. Let a = 21 + j. Let v be 6\/a - (-14)\/6. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3\/2 - 3648*y**2 + 4428663*y\/2 + 4443267 = 0?\nAnswer: -2, 1217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**2 + 24*o**2 - 128*o**2.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*u - 0, 2*u = 4*x - 18576. Let a be x + (4 - (-1)\/(5\/(-30))). Round a to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - z + 3044 = 9*x, 5*x + 2*z = 3802. What is the remainder when x is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 3 + 3 + 2*u. Let n(z) = z - 1. Let t(c) = -c**2 - 6*c + 6. Let o be ((-9)\/(-4))\/(6\/(-16)). Let r(x) = o*n(x) - t(x). Calculate l(r(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u + 50. Let g(h) = h**3 + 10*h**2 - h - 10. Let a be g(-10). Is 9 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = v - z + 30, 5*v + 164 = -3*z. Let i = 74 + v. What is the remainder when 172 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596091.4g in nanograms?\nAnswer: 596091400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -1645, -5404, -12725, -24796, -42805, -67940, -101389?\nAnswer: -144340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 9. Let i be 24\/(z\/6*-1). What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 367275.411 to the nearest one thousand.\nAnswer: 367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c2a5 (base 15) to base 11.\nAnswer: -285190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36\/13 - 82\/39. What is the nearest to -1\/4 in -2\/19, q, 3, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Let p(r) = r**2 - r + 1. Let y(n) = 4*l(n) + 3*p(n). What is the tens digit of y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000056098 to 7 decimal places.\nAnswer: -0.0000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5282*b + 0*w = 5284*b + 2*w - 24, -w = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 9:35 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 55730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 divided by 3449.\nAnswer: -227\/3449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 9*u - 1. Let y = -4 + u. Let r(p) = -p**2 - 5*p + 5. Let j be r(y). Solve v = m - 3, -j*v - 3*m + m - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-14835)\/(-92))*(-5)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5.4. Let f = w + -0.4. Let r = f - -0.2. What is the nearest to -0.1 in -2, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -82*w**2 + 592*w - 91. Let a be q(7). Solve -a*k + 350 = 105 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/4*6566\/334866)\/((-1)\/(-4))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - l - 28 = 0, 0 = d - 5*l + 36. Suppose q - 44 = 3*c, -c + 2*c - 3*q = -4. Let h = d - c. Solve h = -0*y + 5*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from jophmhr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -114*z - 9. Let t(v) = -115*v - 9. What is -2*k(l) + 3*t(l)?\nAnswer: -117*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*c - 3*w, 0 = 4*c - 2*w - 26 + 6. What is the third derivative of z**c + 3*z**2 - z**2 + z**6 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 9*b + 13. Let a be h(10). Suppose q + 3*r - 277 = -0*r, -542 = -2*q - a*r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 894 and 7730418.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7966012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t*t\/t**(8\/5)*t)\/(t**1)**(-8\/3) assuming t is positive.\nAnswer: t**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 8. Suppose j = -4*h + 21. Solve 0 = -4*d - d + 2*q + 33, -4*d - h*q = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 32*r**3\/3 - 8126*r**2\/3 + 396548*r\/3 + 8272 = 0.\nAnswer: -1\/16, 66, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22095158 and 7.\nAnswer: 154666106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (20\/80)\/(1*(-3)\/(-539508))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - k + 29*k + 25*k.\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -0.5, -1096, 0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/15 + (-6)\/(-10). Put 1, y, -4 in decreasing order.\nAnswer: 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5*s**3 + 56*a**5 + a**2*s**3 + 149*a**2*s wrt a?\nAnswer: -120*a**2*s**3 + 3360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*g + 1. Let w = -6 + g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 155 = -5*u, -z - 25 = 4*z. Let c = 19557 + -19504. What is the remainder when c is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7755.04743 - 7755. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267291*n = -267334*n + 559 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 11. Let q be (0 - 200\/3)*j. What is q rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*i + 7. Let w be 0\/(i - -1)*45\/90. Solve 0*b - 4*b - 12 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*k - 61*k + 28 + 908 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -607 - -1092. What is the remainder when w is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85200*x - 458570 + 458570.\nAnswer: 85200*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7964 - 7965. Which is the third smallest value? (a) m (b) -22 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.987241l in millilitres?\nAnswer: 2987.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h*(h\/(h*h*h**1))\/h))*h)\/(h\/((h*(h*h\/((h**14\/h)\/h))\/h*h*h*h)\/h)*h)*h**(1\/10)*h\/h**26)**(-21) assuming h is positive.\nAnswer: h**(7749\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:44 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6755.\nAnswer: 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*g - 165 = -218*g. Solve 70 = g*f - f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15461130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1630105?\nAnswer: 5, 19, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from nenennbbebenbeeenn?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/17)*g**(4\/5) assuming g is positive.\nAnswer: g**(78\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562477408764 - -4.\nAnswer: -562477408760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311 = 4*w + 85*w - 647 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1085 (b) 0.2 (c) 30 (d) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, 61, 199, 403, 679, 1033, 1471, 1999?\n\"Answer: r**3 + 24*r**2 - r - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 24*x + 28. Determine g(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/77 and 36\/1253.\nAnswer: 13783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.216 - -37. Let c = 2.254 - h. Round c to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*w = 446*w - 2440. Let s = 231 - w. Sort -2, -4, s.\nAnswer: s, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-21)*c*c**(-19)*c assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*p - 11696 = -128*p for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 0.4, 4 in descending order.\nAnswer: 4, 0.4, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*u + 10, -5*j + 25 = -4*u + 3*u. Suppose 0 = -i, i - 5459 = -j*l - 414. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1025.59 to the nearest integer.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1678)\/(-112) + (9\/(-18))\/(257\/7710).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10)*5\/(-11). Let k = -6 - -16. Suppose 2*n + a - k = -n, 3*n = a + 14. Put n, -0.2, y in descending order.\nAnswer: n, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (229*v - 963*v - 1035*v)*(-3*v + 5*v - 3*v - 2) to the form u + a*v**2 + o*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.3 (b) 0.04 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/50*23040\/(-256).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 194158?\nAnswer: -3\/194158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 31. Let q be k(-4). Let h = q + 19. Let o(u) = -u**2 + 2*u + 53. What is the units digit of o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435006 and 1113398.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*b + 4*b - b)*(0 - 3 + 1) - 3*b + 1 - 1 + (4*b - 2*b - b)*(0 + 5 - 1))*(-b**3 + b**3 - 2*b**3) as d*b**4 + s + k*b + v*b**3 + l*b**2 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-32))\/(21\/28*9\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 134*t + 247*t - 14*t**2 - 140*t.\nAnswer: -4*t**2 - 27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 436 + 136. Let k be 10\/t + -1 + (-2)\/(-6). Are 73 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736325241 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: What is 228186 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 12 (c) -22\/31 (d) -3\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15708928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232873\/127295 + -3\/3637. Let y = -10\/7 + q. Which is the second smallest value? (a) -5 (b) -6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**5 + 27*c + 17. What is the first derivative of b(t) wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2600 and 32?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 49131434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/18 + 11*j**4\/12 + 14*j**3\/9 + 5*j**2. Solve p(x) = 0.\nAnswer: -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -2 - 2 - (-6 + 12 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4870845 times -2?\nAnswer: -9741690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 18 - 54 = 2*o, 6073849*o - 6073844*o = 3*z - 118 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 188 = -62*c. What is the closest to c in 2, 4, -25\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -32*n**3 + 21*n**2 - 59*n - 540. Let h(z) = -16*z**3 + 12*z**2 - 30*z - 272. Let w(b) = 7*h(b) - 4*s(b). What is the derivative of w(t) wrt t?\nAnswer: 48*t**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 1689650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*q - 49, u + 7*q = 4*q - 21. Let c be 4\/u + (-44)\/(-36). Suppose 6 = -2*p + 2*b, -p - 5 = 2*b - 4*b. Put 0, p, c in descending order.\nAnswer: c, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**7\/z)\/z*z)**(-4\/13))**(2\/11) assuming z is positive.\nAnswer: z**(-48\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (134\/134)\/(2\/(-13)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 1, 4 in ascending order.\nAnswer: -115, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.248119 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.374 (b) -13\/6 (c) -141 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 39*y**4 + 5*y**2 - 5*y + 125. Let o(c) = -19*c**4 - 3*c**2 + 3*c - 63. Let i(g) = -5*o(g) - 3*u(g). Differentiate i(j) wrt j.\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11155287.\nAnswer: 3, 11, 13, 26003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 1. Let b be f(-1). Let q = 22 - 12. Let m = -12 + q. Are m and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*l + 7 = -11, -l = 5*b - 14. Let c(n) = -48*n + b - 54*n + 99*n. Calculate c(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 437*d - 23 - 46)*(-2*d**2 - 3*d**3 + 2*d**2).\nAnswer: -1311*d**4 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2285 and -0.14.\nAnswer: 319.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 641 or 485?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 1. Let a be c(2). Suppose 0 = 3*s + 4*j, 0*j = a*j. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/15 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.055649 * 0.6.\nAnswer: -0.0333894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/7*231\/(-99). Let m(l) be the first derivative of 16\/5*l**5 + 2\/3*l**6 - 8*l**n + 32*l - 40\/3*l**3 + 3 + l**4. Factor m(k).\nAnswer: 4*(k - 1)**2*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 101 + 35. Let u = b + -29. Suppose 2*v - 4 = -0*v, -7 = -u*t + 4*v. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 969638\nAnswer: 1\/484819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*o + 5*z, -2*o + z = o - 20. Let q(h) = -5*h**3 - 3*h**2 - 5*h + 2. Let j(r) = -11*r**3 - 7*r**2 - 11*r + 4. Calculate o*q(w) - 3*j(w).\nAnswer: -2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -48*r. Let g(a) = 172 + 5*a - 89 - 82. Let q(s) = -31*s - 6. Let f(w) = 6*g(w) + q(w). Give x(f(c)).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020929881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*s**2 - 8*s = 0. What is s?\nAnswer: 0, 2\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -230960 divided by -5774\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 5*l. Let i be p(-5). Suppose 4*h - 11 - 1 = i. Solve h*y = -y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 40*x - 3712. Calculate d(51).\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73534*h*j**3 - 1360*h*j + 4*h - 15*j**4 - 7*j wrt j.\nAnswer: 441204*h*j - 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 54*n + 206. Let v be ((-6)\/(-1))\/6 + 49. Let z be y(v). Calculate the highest common divisor of 174 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -4\/5, 4\/5, -6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a (base 12) to base 7.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 89, -1.2, 1\/7, 2\/9, 687 in increasing order.\nAnswer: -1.2, 1\/7, 2\/9, 9, 89, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04701961075 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -8. Let q = 0.6 - -2.4. Let a = q + -2.6. What is the third smallest value in a, -4, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 7*j - 8. Suppose 4*d = -28 - 4. Let b be c(d). Suppose -4*p - 4 = -b. What is the third smallest value in 6, p, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 81*j - 364. Does 30 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000436 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13357737481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-510)\/(-165))\/(260\/(-2860)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 50*u - 3*u**2 + 11*u**2 + 42*u.\nAnswer: 8*u**2 - 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(99\/(-53)) + 2\/11. Let s = -2 + 2. Suppose 0 = 2*z + 4*i - 26, -2*z + 6 + s = -i. Solve n*l = -z*x, 5*l + 3 = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 l when four letters picked without replacement from lcccblblcbbc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12112, 12116, 12122, 12130?\n\"Answer: w**2 + w + 12110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 103\/137 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5 - 1 + 2 + 3 + 2*a. Let z be (3 - 0)\/(6\/(-8)). Give i(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22502.\nAnswer: 2, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*y**3 - 2 + 1094*y**2 + 23*y + 18*y - 48*y - 1101*y**2 to the form r*y**2 + v + n*y + p*y**3 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102, 84, 70, 60, 54?\n\"Answer: 2*y**2 - 24*y + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/112542240 and 9\/40.\nAnswer: 112542240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*t - 82*t - 16. Suppose t*q = 5 + 23. Let m = -93 + 163. Calculate the greatest common divisor of q and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**5 + 5*m**4 + 5*m**2 - 10*m. Let n(c) = -c**5 + c**4 + c**2 - c. Let f(b) = 5*n(b) - u(b). Find the second derivative of f(w) wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwww. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062624690.\nAnswer: 2, 5, 7, 787, 37441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131608?\nAnswer: 2, 16451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m - 3. What is k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 0 + 0)*(-2 - 10 - 4) + (-4 + 0 + 5)*(0 - j + 0) + 78*j + 28*j + 241*j in the form f + p*j and give p.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 11:07 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 66947*d - 20820507. What is i(311)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 2, v: 1, n: 4, q: 1, u: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6372 - 6372.1. What is the fourth smallest value in z, 7\/6, -4, 3, -0.4?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35713607?\nAnswer: 43, 830549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y**(1\/10)\/y*y*y*y*y)\/y)\/(y**(-10)\/y*y))**(-16\/9))**(18\/7) assuming y is positive.\nAnswer: y**(-2256\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 108. Let a be ((-40)\/(-7))\/4*y. Let o = 22 - a. Let j(f) = -f**3 + 2*f**2 + 2. Determine j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**5\/2 + 35*x**4\/2 - 355*x**3\/2 + 1575*x**2\/2 - 1620*x + 3772. Solve u(f) = 0.\nAnswer: 3, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524309537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5841, -42 in ascending order.\nAnswer: -42, -4, 5841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7460 and 1865?\nAnswer: 7460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 7 + 428*t - 426*t to l + i*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -68*w**3\/15 + 72*w**2\/5 - 16*w\/5 + 21. Find j such that v(j) = 0.\nAnswer: 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**5\/140 - d**4\/84 + d**3\/21 + 4*d. Suppose n(q) = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**4 + 6485650*f**3 - 830224640*f**2 + 26567843840*f = 0.\nAnswer: -1297258, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*u - 2*u + 2*u)*(0 - 4*u + 0) - u**2 - u + u)*(-u + 3*u - 9*u) to the form x*u + g + m*u**2 + a*u**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172223*k + 205 = 172219*k + 5*b, 3*k = 2*b - 75 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from aooajhjojoj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -68, -81?\n\"Answer: -13*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -694 - -698. Let x be (1 + -4 + (4 - i))*-1. Suppose -u - 27 = -2*u. What is the greatest common factor of x and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + 14 + -34 + 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3411*q**3 + 245*q**2 - 13*q + 8. Let t(y) = 1135*y**3 - 81*y**2 + 4*y - 2. Let w(u) = -2*j(u) - 7*t(u). Find the third derivative of w(b) wrt b.\nAnswer: -6738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 28 (c) -102 (d) 0 (e) -2\/21 (f) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3989916 and 103\/505764?\nAnswer: 35909244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let f(v) = -v**2 - 1. Let w(s) = 2*s**2 + 6. Suppose -4*q - 4*y = -5*q - 20, -4*q - 12 = y. Determine q*f(p) + r*w(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:56 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + (-2 + 7 - -2 - -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/26)\/(2\/(-20)). Sort -4, -3, w in decreasing order.\nAnswer: -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u**2 - 8*u - 9. Let o = 12 + -14. Calculate the remainder when c(o) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 0, 2*y - w - 74 + 82 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 6. Let u be y(-7). Solve -8 = -2*s - 4*k, 2*k = s + k - u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28072316, -28072313, -28072310, -28072307?\n\"Answer: 3*o - 28072319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/21 and 62\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 154*k**2 - 994*k + 197295. Determine a(152).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26178.001 + -26161. Let m = -17.19 - -0.19. Let d = m + x. Round d to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, d: 6}. What is prob of sequence ii?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - 1) + -8 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 0*y**3 - 87\/5*y**5 - 86 + 0*y**4 + 62*y + 0*y**2. What is the first derivative of p(u) wrt u?\nAnswer: -348*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Let j = k + -2. Let h(f) = 7*f**3 - 5*f + 4. Let y(l) = -l**3 + l - 1. Let z(b) = j*h(b) + 5*y(b). What is the first derivative of z(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 724 and 3835?\nAnswer: 2776540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 17*d**2 + 4*d + 23*d**2 + 87*d**4 + (5 - 2 - 2)*(-5*d**4 + 2*d**4 + 5*d**4).\nAnswer: 89*d**4 + 6*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -137334485 divided by -27466897?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 10*p**2 - 7 + 6 + 2*p**2 - 16*p + p**3 + 3*p**3 - 47 = 0?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 285430*o + 856335.\nAnswer: -5*(o - 3)*(o + 57089)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3303 by -13970.\nAnswer: -3303\/13970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/8, 0, 0.2, -5651, 0.1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 + 1. Let w(h) = h**2 + 8*h - 5. Let o be w(-9). Suppose 4*x + 0*x + 4*k = -24, -o*x + 2*k + 6 = 0. Give g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.164, -2\/7, -5?\nAnswer: -0.164","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - i = 2, -2*r - i = 3*r + 2. Which is the closest to -2? (a) r (b) -53 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74685 by -112.\nAnswer: -74685\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwxwwwxnnxxxwxx. What is prob of picking 2 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {k: 4, f: 1, v: 4, j: 6, r: 2, w: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-182)\/39)\/(2 + (-520)\/255). Calculate the greatest common divisor of h and 357.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9734, -38900, -87510, -155564?\nAnswer: -243062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165766 divided by -82883.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -54375 (base 10) to base 15\nAnswer: -111a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((220\/(-150))\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n + 3*n. Let d be (-44)\/4 + (1 - 0). What is the units digit of 10*((-14)\/d + n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172639610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -12*n**5 + 1528*n**4 - 34580*n**3 + 7320*n**2 + 88912*n + 45472 = 0.\nAnswer: -1, -2\/3, 2, 29, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2952?\nAnswer: -1\/2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(325) + 0)*2 + (sqrt(325) + 2*sqrt(325)*-1 + sqrt(325) - (sqrt(325) + 1)*-6))**2.\nAnswer: -160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z + 19. What is d(-8)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - -2. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -559*w**4 - 9*w**3 - 10*w - 9. Let a(f) = 559*f**4 + 8*f**3 + 9*f + 10. Let v(z) = -9*a(z) - 8*p(z). What is the second derivative of v(s) wrt s?\nAnswer: -6708*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1669759519361 and -103?\nAnswer: 1669759519464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*u - 20, 2*g - 34*u = -32*u + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90491689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -345 and 0.03744.\nAnswer: -12.9168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 1\/11, -15, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 32*t + 14. Let s be v(15). Suppose 0 = 4*u - 594 - s. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1356*f*n**3*x**2 + 39*f*n**2*x**2 - 3*f*n*x**2 - 4*x**2 wrt n.\nAnswer: -8136*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/24 - 18*o**2 + 32*o. Let m(x) be the first derivative of h(x). Let y(d) = -35*d**2. Calculate m(y(q)).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 618*v + 4962. Calculate the remainder when 9844 is divided by z(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59707 + -5?\nAnswer: -59712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**3 - 5*f**3 - 2*f**3 + (167*f**2 - 6934*f + 6934*f)*(-5*f + f + 3*f) as b + o*f**2 + d*f + z*f**3 and give z.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -6 in descending order.\nAnswer: -4, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*b - 45910*b**2 - b**3 + 45910*b**2 - 10*b + 10*b - 3*b**3 + (-1 + 3 + 0)*(0*b + 0*b - 2*b**3).\nAnswer: -8*b**3 - 23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4*w + 1020*w**2 - 13 - 3 + 3 - 978*w**2 as j*w**2 + u*w + c and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 5. Let f be 9\/(-21) + 48\/14. Suppose 0 = f*x + 3*l - 8*l - 10, 0 = -3*l + 3. Sort -3, d, x in ascending order.\nAnswer: d, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appcppppppppacampam. What is prob of sequence am?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + f**2 + 11*f + 3. Let r be j(-3). Let t(n) = n**2 - 6*n. What is t(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10705 + 10698 - 21405 + 626*s as n*s + l and give n.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, 0, 86, -428\/5, 0.1, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/39404213 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34, 280, 816, 1720, 3070, 4944, 7420, 10576?\n\"Answer: 13*f**3 + 67*f**2 - 46*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 14108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5312 and 49216.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v. Let i be l(-1). Let z = 7 + i. Let y = z - -1. Solve s + 0*s + y = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*y + 73840 = -65420, -5*y - 185671 = -4*w. What are the prime factors of w?\nAnswer: 29, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(405)*6 - (-6*sqrt(405)*1 - sqrt(405)))*-6 + 2)**2.\nAnswer: 1080*sqrt(5) + 364504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 918386 (b) -6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 236916. Let n(r) = 2*r. Determine d(n(f)).\nAnswer: -4*f + 236916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 4*u + 2. Let q = -51 + 53. Let v(p) = -2*p + 1. Calculate the least common multiple of a(q) and v(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/39*9\/2. Let b be -1 - (-3 - z) - 13. Let n = b - -20. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 5*y - 6*y + (3 + 2 - 7)*(-3 + 3 + 2*y) + (-2 + 2 - 2)*(0*y - 4*y + 5*y) - 3*y + 14*y + 4*y as g + m*y and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 89, 153, 235, 341, 477, 649, 863?\n\"Answer: i**3 + 45*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:44 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 - 724 = -2*k. Let r(l) = 416*l**2 + 7*l + 22. Let c be r(-3). Suppose -5*f + c = -k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54537 divided by -18179?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/7 (b) -2\/53 (c) -2 (d) 0.11 (e) 0 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(11 + 3). Let v = p - 14. Suppose 287 = q + 255. What is the remainder when q is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -39. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**3\/3 + q**2\/2 - 17*q - 6. Let l be y(-7). Suppose -3*h + 2*h = 3, 0 = 4*k - 3*h - l. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6462 + 1470889451?\nAnswer: 1470895913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 12. Let z = 38 + -45. Let i be g(z). Solve 0 = -w - i + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -13. Let b be s\/3 - (5 - 7). Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 33*u**7\/175 - 97*u**6\/150 + 29*u**5\/50 + u**4\/5 - 4*u**3\/15 - 20*u**2. Suppose a(t) = 0. Calculate t.\nAnswer: -2\/9, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/7 + 353300*u**2\/7 - 353286*u = 0 for u.\nAnswer: 0, 7, 176643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-2 + 7 - 2)*(61*u**4 + 13*u**4 + 23*u**4).\nAnswer: 291*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 6. Let l(c) = 2*c - 13. Let f(w) = 13*a(w) + 6*l(w). Let k(y) be the second derivative of y**4\/6 - 19*y**3\/6 + 8*y - 2. Give k(f(r)).\nAnswer: 2*r**2 + 19*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31.9661 years?\nAnswer: 0.319661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-6 - -3) - 3. Let x = 0 - 2.6. Let i = 3 + x. What is the nearest to h in 5, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4423 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330352005?\nAnswer: 3, 5, 22023467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*x)*(1212 - 1212 + 213*x).\nAnswer: -426*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*b + 95 = -5*f - 5481, -116 = 5*f - 4*b + b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 2268?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 60.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 140688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*j - 9*j. Let g = 344 + -320. Calculate the lowest common multiple of g and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1763223025 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.302553 centuries to millennia.\nAnswer: 0.4302553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 54616*l + 221. Let q be p(11). Suppose j = c - q, 55*c = 3*j + 54*c + 1802997. Round j to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5 = -0*j, 3*j = -3*g + 237. Let l = g + -51. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 140 = 0. Calculate the highest common factor of f and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -102904?\nAnswer: -102904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12587, 13305, 14025, 14747?\n\"Answer: o**2 + 715*o + 11871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/8, 4, 107, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(42)\/sqrt(7)) - sqrt(38)) + (sqrt(342) - 5*sqrt(342))\/sqrt(9))\/(1*(sqrt(72) + sqrt(72)*3)*-2).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005066817 to 6 dps.\nAnswer: 0.000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 44. Let b(m) = m**3 - 4*m**2 - 4*m + 2. What is b(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x - 5. What are the prime factors of (-12 + 1)*(5 + x)\/(-1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*c - 7, -4*y - 3*c + 25 = 0. Let r(x) = -2*x**2 + 2*x + 1. Let u(g) = -g**2 + g. Let o(k) = k + 4. Let h be o(-5). Give h*r(a) + y*u(a).\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmfw when four letters picked without replacement from lvmwxlf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 134, 145, 170, 215?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u. Let w(s) = 2*s + 1. Let g(f) = -4*o(f) - 2*w(f). Let i = -22 - -23. Let q(j) = 3 - 2 - 2 + j**2. Calculate i*g(x) - 3*q(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let t be u(4). Suppose t - 2 = q. What are the prime factors of q*1\/6*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 46 = 3*s, -3*w + s + 24 = -2*s. Solve -3*d + w - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1904 - 0.4\nAnswer: -1904.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 130 = 4*i. Let g be ((-1)\/(0 + 2))\/((-10)\/1200). Let u = g + i. Let f(t) = -t**3 - 6*t**2 - 3*t + 6. Calculate f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 63*x - 767. Let s be h(-12). Is s less than 565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2106 and 775632?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(931) + -1 + -2 + -3 - (3 + sqrt(931) + -2 + 5)))**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42551208 to the nearest integer?\nAnswer: 6523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 9*t + 8. Does 3 divide t - (-1 + 1 - 21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501040*t = -501195*t - 2480 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 10*l**2 + 10*l + 4. Let u be d(-9). Let g = u - -7. Let b(f) = -2 - 3*f - 1 - 3*f - f**g. Determine b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -2*(-62)\/40. Let b = 39 - 42. Let t = 0.2 + -0.2. What is the third biggest value in 5, b, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.56726 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 not equal to 2387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:59 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/(-77)*9\/((-27)\/(-84))*8\/(-24)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 2296.\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704) - sqrt(704) - 4*-1*sqrt(11))**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*j = -2*j, 0 = -4*r - 4*j - 8. Let g = r + -1. Let y = g + 4. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxfxxx. Give prob of sequence ffx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(125) + 0 - (sqrt(20) + 1 - 2*(sqrt(5) - (sqrt(5) - -1*sqrt(5))**2)))*3.\nAnswer: -111 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 s when four letters picked without replacement from {s: 3, y: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.102l in millilitres?\nAnswer: 648102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7773 - 7776) + (-2 - 22 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -115*z**3\/3 - z + 693. Let i(u) = 4*u. Determine i(v(b)).\nAnswer: -920*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 2299369046137.\nAnswer: -2299369046137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5940468 and 5580?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.3, -1\/7, 0.5, -63\/8306?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -27, -49, -91, -159, -259, -397?\n\"Answer: -a**3 - a**2 + 2*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 229 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, 141, 205, 265, 321, 373?\n\"Answer: -2*l**2 + 74*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 88*j**7\/21 - j**6\/30 - 1901*j**3\/6 - 1183*j. Find the second derivative of t(n) wrt n.\nAnswer: 3520*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2 - 27240180*d + 27240184 = 0 for d.\nAnswer: -6810046, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 40*v - 36. Does 21 divide g(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 779868431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, k: 7}. Give prob of sequence dkk.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -28*o**4 - 6*o**3 - 4*o**2 - 5*o + 5. Let z(i) = -i**3 - i**2 - i + 1. Let q(p) = -l(p) + 5*z(p). Find the third derivative of q(f) wrt f.\nAnswer: 672*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35007*h - 35008*h + 175038*h - 35003*h - 35013*h - 35002*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 - 74 = 44*s. Let x(z) be the second derivative of 5\/6*z**3 + 0*z**s + 0*z**4 + 0 - 2*z + 1\/5*z**5. Find the second derivative of x(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24666 + -1232?\nAnswer: 23434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(6\/11)\/(i**0*i*i**4*i)*(i**(-2))**(7\/2)\/((i**(-2\/3)\/i)\/(i\/i**(-7))) assuming i is positive.\nAnswer: i**(-146\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 7:22 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c - 33 = 27*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n - 2. Let m(u) = 8*u**2 + 257*u - 10. Give -m(g) + 5*y(g).\nAnswer: -3*g**2 - 252*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + w + 271, -5*x - 2*w + 347 = -6*w. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7069122*r**2 + 2*r - 3965899?\nAnswer: -14138244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-27) + 775\/(-1350)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 8*g - 3. Let o be x(-9). Let n be 3\/(-2*45\/o). Let v be 2 - (1 + -4)*-2. Which is the closest to 2? (a) n (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3146)*3 - sqrt(3146))\/(sqrt(242)*1).\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(8\/(-6) + (-7)\/(-3)). Which is greater: q or 6\/37?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - o - o + (5*o - 2*o - o)*(0 - 3 - 3) + (2 - 7 - 4)*(-2*o - 2 + 2) + o + 7 - 7 in the form a*o + p and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13427241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 0.5, 3\/8, 1, 5, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 2*v**2 + v**2 + 2*v**2. Let t = -6 - -1. Let y(x) = -x - 3. Let d(a) = 2*a + 5. Let m(b) = t*y(b) - 3*d(b). Give m(f(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16264320 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -15. Let j = m - -24. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 11. Solve -3*i + 3*y - l = -y, -5*i = -4*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**5 + 7*y**2 + 5. Let s(f) = -15*f**5 + 10*f**2 + 7. Let o(q) = -7*h(q) + 5*s(q). What is the third derivative of o(l) wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-16))\/(10\/(-40)). Which is the second smallest value? (a) q (b) -0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:52 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from xggxghg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297621.\nAnswer: 3, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13508 and 22.\nAnswer: 13508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t**3 + 9*t**2 + 15*t - 16. Let x(z) = -z**3 + 1. Let v(j) = -4*s(j) + 36*x(j). Factor v(r).\nAnswer: -4*(r - 1)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51658241 is divided by 1225.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 2268 = -242. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3366.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175 - 48*h**2 + 175 - 5*h**2 + 4*h**2 + 2*h**2 + (-h - 2*h + 5*h)*(3*h + 3*h - 5*h).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(t - 13*t + 21*t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 - 43\/(-5). Suppose -s = -3*p + 2*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(117) + sqrt(117) + 4*sqrt(117))*6)**2*6.\nAnswer: -4548960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9758*p - 20472*p + 8897*p - 959985 = 0 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f = -22*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2826 (b) 28.6 (c) 3 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/7 - 132*u\/7 + 41031\/7.\nAnswer: -3*(u - 97)*(u + 141)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((sqrt(308) + sqrt(308) + sqrt(308)*2 + sqrt(308) - sqrt(308))\/sqrt(7))\/(sqrt(12)\/(sqrt(75) + sqrt(3))).\nAnswer: 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let f = -28 - -16. Let l be 8\/f - (1 + -1). Which is greater: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose a*f - 4*f + 4 = 0. Let z = -12 - -12. Solve -f*b + 0*b = z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/14295, 4, -2\/5, 0.2 in decreasing order.\nAnswer: 4, 0.2, 8\/14295, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-4))\/((-5)\/120). Find the common denominator of -73\/2 and (-5 - -6)*l\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17857 at least -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/120 - u**5\/15 - u**4\/24 + 2*u**3\/3 + 360*u**2. Let h = 1 - 1. Suppose h = 3*g, -2 - 1 = i - 3*g. What is t(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/4)*h**(-12\/5)\/h assuming h is positive.\nAnswer: h**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13311 (base 4) to base 14\nAnswer: -27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 3*c. Let m(u) = 3*u**2. What is m(i(t))?\nAnswer: 12*t**4 + 36*t**3 + 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 9*n**2 + 6*n - 7. Calculate the remainder when z(-10) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 13*m**2 + 2*m - 4. Let d be w(13). Suppose -3*o - 13 + d = 0. Determine k so that -4*k**4 + 0 + 0*k - 8\/7*k**2 - 36\/7*k**o = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-10\/3)*y\/y**(-29\/2))**(16\/3))**(25\/2))**(2\/11) assuming y is positive.\nAnswer: y**(15800\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6998836583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 10. Let m be l(3). Let b be m\/10*-67 - 3\/5. Let y = b - -28. Solve 4*z = -4, 0*n + 2*z = 3*n - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 193*g**3 - 3*g**2 - 7*g - 1. Let i be t(3). Let q(m) = -3*m**2 + i - 10316 + 5151. Let h(s) = -4*s. Determine h(q(a)).\nAnswer: 12*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 0. Suppose 0 = -i*x - 4*x - 8. Let o(k) = -14*k**2 - 9 + 16*k**2 + k + 26 - 16. What is o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q*q)\/(q**(-11)\/q))**(-19)*(q**(-6\/7)*(q*q**(1\/4))\/q)**8 assuming q is positive.\nAnswer: q**(-2694\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 - j**3 + j**3)*(4*j + j - 4*j) - 3*j**5 - 2*j**5 + 4*j**5 + (0*j**5 - 7*j**5 + 2*j**5)*(-71 + 176 - 70).\nAnswer: -177*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*o + 75*o + 2412 = 0. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120.9*13.\nAnswer: -1571.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 35 + 0*k - k)*(0*k + k - 3*k)*(5*k**2 + 0*k**2 - 2*k**2) to the form g*k**3 + u + p*k**4 + z*k**2 + h*k and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 59 + 21 = 0. Let y = -12 - j. Suppose -5*a + 0*p + 791 = -p, -4*p = y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4876 + -14356?\nAnswer: -8370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1139 + 425 = 92*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/19, -8, 319 in increasing order.\nAnswer: -8, -2\/19, 8, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 - 5*s + 10. Let r = -16 - -21. Let b be j(r). Suppose 233 = 6*u + b. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/389636 and 45\/14986?\nAnswer: 389636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-12)*(-3)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/14)\/((-22)\/231) and -32\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 28. Suppose -6 + l = 3*t. Suppose 154 = t*o + 14. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 1 + 9*k - 2)*(-8 + 42 - 16) - 2*k - 3*k + 4*k.\nAnswer: 161*k - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16124 and 1856.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2326, 2305, 2262, 2191, 2086, 1941, 1750?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 o when four letters picked without replacement from llolloolololl?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**34*n**(-11)\/n*n assuming n is positive.\nAnswer: n**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 9. Suppose -4*i - 28 + 11 = 5*h, -2*h = -3*i + 16. Let t(x) = -5*x**2 - 3 + 3 + 4*x**i + 3*x**2. What is m(t(l))?\nAnswer: 4*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3985 + 1505 = 9*y. What are the prime factors of y?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 7:00 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-8)\/12*(-1 + 31). What is the highest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 337740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -14\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from pppabpppphappa.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x + 112. Let m = 30 + x. Solve 3*u + 6 = m*q + q, q + 4*u = -8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9700*p + 392 = -9686*p. Solve -p = 1373*r - 1377*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101145.944 to the nearest integer.\nAnswer: 101146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 17*z - 10. Let k be x(13). Suppose -2*u - k = -4*n, -3*u - 8 = -n - 2*u. Calculate the highest common factor of n and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -444480 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1785374820 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487*d + 4491 = -162*d + 597. Let l(p) = -10 + 0*p + 0 - p. Calculate l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5 = 23. Solve -d = c - 4*a, 0*a + 2 = a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16364 and 72848.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3289 and 667703179.\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 31. Let n be o(-14). Suppose n = -35*s + 36*s. Suppose 0 = s*a + 2*c - 6583 - 2744, -4*a - 5*c + 12436 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkrm when four letters picked without replacement from hfnfrmknkkhk.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 965566 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02554 + -0.97446. Let i = -1.14 + 0.84. Which is the third smallest value? (a) 2 (b) 0.5 (c) t (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (158751\/62)\/(-3 + (-38)\/(-12)).\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 26*g = -80. Is -48\/7 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 20 = q. Let v(a) = -q*a**3 + 4*a**3 - 6*a**3 - a**2 - a**2 + 1. Determine v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(-1 + (sqrt(2) - 2*sqrt(2)) + 2))**2 + (sqrt(972)*-2)\/(sqrt(6)*-1*-2).\nAnswer: -27*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 214.6 - 32.6. Let l = z - 181.999871. Round l to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 5*k\/2.\nAnswer: -k*(k - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 192, 273, 356, 441?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -69. Let v = o - 44. Which is the closest to -1\/4? (a) -2\/11 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 326*b + 5565. Calculate i(21).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28737144 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9826.226km in meters?\nAnswer: 9826226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7) + -1 - sqrt(7)) + sqrt(7) + 1)**2*-6.\nAnswer: -66 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/(-3)*(-15)\/(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.449457 plus 20007?\nAnswer: 20024.449457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (1\/2 + 1). Which is the biggest value? (a) 1\/3 (b) 0.037 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16bab4 (base 13) in base 10?\nAnswer: -568663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541 is divided by 171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f, 2*a - 3*f + 5 = -4*f. Let s(j) be the third derivative of 0*j**3 + 1\/24*j**4 + 0*j - 3*j**2 + a + 1\/120*j**6 - 1\/30*j**5. Factor s(c).\nAnswer: c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a5261 - 0?\nAnswer: -a5261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7 = -0*s + 3*p, -17 = 4*s + 3*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**10)\/(p*p*p**(-4\/3)*p)*p**(-1)*p\/(((p\/p**(12\/5))\/p)\/p))**(-44) assuming p is positive.\nAnswer: p**(4796\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12040 by -35.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15734, 11288, 3878, -6496, -19834, -36136?\nAnswer: -55402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112) + -3) - sqrt(112))*3*-1.\nAnswer: -45 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 6, 2, 3 in decreasing order.\nAnswer: 6, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -6*c + 48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/3, 5, -0.2, -0.5, 0.2, -68\/7, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 - -270.62. Let b = v + 2. What is b rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1872))**2 + 4.\nAnswer: 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0.2 (c) -1\/9 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -2*r**5\/15 + 10*r**2 + 128*r. Let u(c) = 6*c. Let i(a) = -a. Let o(x) = -4*i(x) - u(x). Calculate z(o(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 317\/241, -0.2, -1\/8 in increasing order.\nAnswer: -0.2, -1\/8, 0.04, 317\/241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 1, w: 1, q: 1, l: 10}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*l**3*z**3 - 96702*l**3*z + 125*l**2*z**3 + 2*l**2*z**2 + 2*l**2*z - 6*l**2 - z**3 + 17*z wrt l?\nAnswer: 348*z**3 - 580212*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((9 + -6)\/(-9))\/((-25)\/(-260121)). Let b = x - -3469. Find the common denominator of -43\/5 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647439974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 260731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-16)\/4) + -13. Let u be 45\/j*(-8)\/(-3). Let g be (-63)\/u + 1\/(-4). Calculate the greatest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 18*z + 711050*x - 711049*x, -5*z + 5*x = 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13688 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 576\/1232 - 2\/11. Let y = 1.5 - 2. Let t = 5.02 - 0.02. What is the smallest value in u, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2520 - 2514. Solve l*x = -114 + 112 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 6\/11 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:56 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Suppose -x = -41 - 8. Let d(u) = u**2 - 6*u. Let v(z) = 7*z**2 - 49*z. Let c(a) = x*d(a) - 6*v(a). What is w(c(h))?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*k**3 + 480*k**2 + 1500*k + 1000 = 0. What is k?\nAnswer: -5, -10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15 = -6*m. Let k = -112\/3 - -37. Let x = -111\/55 - -11\/5. Which is the biggest value? (a) k (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-830)\/83*((-2)\/25)\/(11\/220)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 1. Let r be (-8)\/(-6)*(-3)\/2. Let x = 3 + r. Solve 0 = f*w + 2 + x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2 and 6\/21 - (-184)\/287.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbs when three letters picked without replacement from sbbsbbbbbbbbbb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -n + 7, n - 1 = -2*w - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -29*m - 311. Calculate the least common multiple of v(-11) and 737.\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**2 + 2*c**2)*((3 - 1 - 3)*(0 + 0 - c**2) + (12 + 16 + 12)*(-5*c**2 + 4*c**2 + 3*c**2)).\nAnswer: 324*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -403303914.9 + 0.5?\nAnswer: -403303914.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 12:29 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 607.264 and -0.3?\nAnswer: -182.1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*688\/(-78)*(-100074)\/15396?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 7*q + 2*w + 32 = 16*q - 4, -4*q = 3*w - 37 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 10) + -10 + (15 - 8) + -22.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**3 - 47*v**3 + 83*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**6*t + 2761*q**5 - 2*q**2*t + 11*q**2 + t - 2 wrt q.\nAnswer: -240*q**3*t + 165660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 23, 2, -3 in decreasing order.\nAnswer: 23, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 200\/(-3)*(8260\/(-10) - -4). Round h to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-16)*(1 + -5) + 11. Suppose -m - 21 = -2*l + 6, 2*l + 2*m = 36. Let s = l - g. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 26. Suppose q*l - 29 = 112. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 3. Let m(f) = 3 + 0*f + 9 - f. Let i be m(h). Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112101301 - 0?\nAnswer: -112101301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a9 + 40?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + (-39)\/6. Let t = -5 + 7. Suppose t*p + 4 = -0*p. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 5) to base 4.\nAnswer: 22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 36*p**2 - 19*p + 123. Let o be c(7). Is 15 a factor of (3 - (-18)\/(-12))\/(3\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) - sqrt(90)\/(sqrt(10) + sqrt(10)*-2 - sqrt(10))).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/14)\/((-6)\/(-32)). Suppose -24 = -4*k + 4*n, 3*k + 4*n + 4 = 5*k. Suppose -s - 4*i + 3 = -k, 2*s = -i + 5. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(-17)\/663.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.3, -4, -2\/3, 4\/7, -14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -202 - 130. Suppose 3*m - m = 5*t - 415, 4*t = 2*m + p. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9693 and -529.6.\nAnswer: -5133412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3886 + 3885. Sort 7, -2, r, 0 in increasing order.\nAnswer: -2, r, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 1. Let y(l) = 11*l - 354. Determine -6*u(v) + 2*y(v).\nAnswer: -2*v - 714","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2163 (base 8) to base 14\nAnswer: -5b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1080.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 9*g + 7. What is n(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2 - -33) + (-15 - -13 - -7) + 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/7 (b) 2\/11 (c) -1 (d) -213 (e) -0.03 (f) 0.2 (g) -565\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(245) + 0)**2 - sqrt(20)\/((sqrt(4) - sqrt(12)\/sqrt(3))*-5 - sqrt(4)).\nAnswer: -55*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 - 36 + 677*z - 694*z.\nAnswer: -17*z - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - t + 49 = 21, 2*t + 4 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*n + 30. Suppose -29*t + n = -24*t. Put 4, t, -2, 5 in decreasing order.\nAnswer: 5, 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 13*p**2 - 5\/6*p**3 + 1\/12*p**5 + 0 - 5\/8*p**4 + 0*p + 1\/120*p**6. Let z be n(-7). Solve 2 = z*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9610 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 + 154. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 14. Let x be -4*-15*4\/16. Let w be (-11)\/(5\/x*-3). Let s be n(w). What is the nearest to 0.2 in s, -5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230186042?\nAnswer: 2, 593, 1409, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 + 3*d**4 - 2*d**4 + 5*d**4 - 4*d**4 - 2*d**4 + (0 + 0 + 2*d**2)*(-3*d**2 - 11*d + 11*d).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -266034 + -0.254\nAnswer: -266034.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 + 10 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -10*q + 106, 66909*f = 66908*f + 5*q - 56 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (735\/(-126))\/(580\/2088)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546\/47 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 10\/4)*8. Let z = 28 - 46. Let g be (-4)\/z + (-160)\/(-9). Solve 5*m + g = -3*o - 17, 2*m = t*o + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*a - 17 = 0, -10*a + 5*a = 2*l + 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3522 is divided by (63\/(-441))\/((-6)\/966).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -25. Let b = 178138 - 177954. Calculate the remainder when b is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135728 divided by -94.\nAnswer: -67864\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1586 divide 471674690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1187, 2382, 3745, 5282, 6999, 8902?\n\"Answer: r**3 + 78*r**2 + 954*r + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from {w: 3, f: 6, j: 5, a: 1, r: 5}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g**4 + 35*g**3 - 17*g - 178. Let b(h) = 8*h**4 + 18*h**3 - 8*h - 89. Let z(n) = -13*b(n) + 6*r(n). Find the second derivative of z(f) wrt f.\nAnswer: -24*f**2 - 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 9. Let n(m) = -5 + 3*m - 6*m + 1 - l. What is the units digit of n(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((3\/(-2))\/(-3))\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 8755.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1*(-2)\/(-10)). Suppose s - 4 = 4*r + 7, 3*r = -4*s - 13. Let k be s\/(-3) + 4\/(-12). Put v, -2, k in increasing order.\nAnswer: v, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 7*w**2 - 7*w + 5. Let a be m(6). Let c(i) = -14*i - 2 + 0 + 1. Let n be c(a). Solve -6*d = -2*d - 4*s - 20, 2*d = 5*s + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-380 + 137 - 206)*(3*o - o + 0*o) + o - 2*o + 2*o.\nAnswer: -897*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:49 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f - 47. Let d(x) = x**3 + 15*x**2 + 18*x + 275. Let g be d(-15). Determine z(g).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322944220 to the nearest integer?\nAnswer: 17971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3078 divide 811192947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 2*m**3 - 285*m**2 + 42*m + 156.\nAnswer: 20*m**3 - 12*m - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 726 and 924?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h - 2*t + 13, -2*h = -4*t - 14. Solve 2 = h*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37750859437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 10. Let b = c - 0. Differentiate -2 - 7*z**3 - 2*z**2 + 0*z**3 + b*z**2 with respect to z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.9, 4, 534, 81\/5 in increasing order.\nAnswer: -8.9, 4, 81\/5, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fkkvfbkbv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -17\/2. Let u be 2*(-5)\/10*2. What is the third biggest value in 2\/11, x, u, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 319*s + 5. Let q be a(-7). Let o = q - 111. Let d = o - -6339. Round d to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -23)*18\/(-4). Which is the second biggest value? (a) i (b) 7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7004\/5845 + 2\/1169. Let x(a) = a**2 - 4*a + 2. Let r be x(4). Factor 4\/5*q**r + l*q + 2\/5.\nAnswer: 2*(q + 1)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) 6243 (c) 1 (d) 1\/5 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380364519 to the power of 1\/2, to the nearest integer?\nAnswer: 48789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 3*r - 2. Let v be w(-2). Let c = -58 - -66. Suppose 4*g - x = 18, 3*g + x + 23 = c*g. Solve 0*q = g*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 255\/84 + 12*14\/(-588). Which is the nearest to 1? (a) -0.4 (b) o (c) -0.6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 minutes before 5:03 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 40. Is 3\/17 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*q - 380 = 310*q - 99*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.289738 less than -1564?\nAnswer: -2542.289738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*v, -b - b + 30 = -4*v. Let t = b - 5. Solve h - t*s = -2*h - 8, -2*s = -2*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 3.24.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1239556 or -1239648?\nAnswer: -1239648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1035609523 and 7774.\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/12 - (-5)\/30. Let z(l) be the first derivative of 0*l**j + 2\/3*l**3 + 0*l + 3. Let o(m) = m. Determine o(z(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 31*c**2 - 44*c + 273. What is the tens digit of u(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5147 - 10324 - 599*i**3 - 4*i + 8*i**2 + 5137 + 0*i wrt i?\nAnswer: -3594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h**(-5\/6)*h**23*(h**11\/h)**31 assuming h is positive.\nAnswer: h**(2011\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808.412 rounded to the nearest ten?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -547488*1\nAnswer: -547488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r - 11*r + 12*r to c*r + n and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.0974, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 + p**2 + p - 1. Let t be g(1). List the prime factors of (t\/2)\/((-2)\/6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 7127 + 864. List the prime factors of v.\nAnswer: 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o + 16, 3*o = 2*r - 6637. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30000168 divided by 5000028?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 83971440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14630 + -14630. Let o(l) be the first derivative of 0*l**5 + 0*l**4 + h*l + 0*l**3 - 11*l**2 + 2 - 4\/3*l**6. Find the second derivative of o(v) wrt v.\nAnswer: -160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 2*l + l)*(-3 + 0 + 2) + 39817 - 39817 + 68*l.\nAnswer: 70*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.1+-1136361458\nAnswer: -1136361460.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-10)*(-1125)\/13500?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + -5.91. Let t = -5.8 - u. Put -5, t, 0.1 in descending order.\nAnswer: t, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*t + 4*h, -4*t - h + 12 = -34. What is the highest common factor of t and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7*y = 12. Let u be ((-1)\/2)\/((1\/(-1))\/y). Suppose 3*p - 377 = -2*q + 3*q, u*p - 373 = 2*q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64357\/164 - 4705\/12. Calculate the common denominator of t and -13\/4.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 435 = -5*o, 2*q - o = 2*o + 171. Let k be 36\/q + (1 - (-129)\/(-60)). Which is the second biggest value? (a) 4 (b) -85 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*g + 96*g - 6060 = 231*g - 27793 for g.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1440)\/(-1026))\/40*((-459)\/6)\/17?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447*s = 44793 - 1573 - 9939 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-8)*1)\/(9\/6).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14051250 by -2.\nAnswer: 7025625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13242401 + 2?\nAnswer: 13242403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 381982 and 16104.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + 5\/6. Let m = -62 - -311\/5. Which is the nearest to s? (a) m (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282929, -282939, -282961, -282995, -283041, -283099?\nAnswer: -283169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 8*q - 62. Suppose 0 = -q*p + 4, -3*d + 0*p - p = -7. Let m(l) = l**3 - 2*l**2 - 3*l + 3. Let r be m(3). Solve d*o + 0*z + 11 = 5*z, z = r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(1 + 1)\/(-2). Let g be (-1 - -3)\/((-2)\/2 - 0). Is m at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 253736 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3\/2, -9 in ascending order.\nAnswer: -9, 3\/2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + v)*(-5 + 1 + 3) + (-15*v + 10*v + 17*v)*(-2 + 2 + 2))*(-4*v + 18 - 20 - 6*v) to h*v + r + n*v**2 and give n.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/288 + 6\/16.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -516, -468, -406, -324, -216?\n\"Answer: i**3 + i**2 + 38*i - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5 + 13. Let u(d) = -d**2 + 6*d + 2. Let l(j) = j + 1. Let a(t) = -2*l(t) + u(t). Let g(s) = -s**2 + 3*s. Calculate v*g(k) + 3*a(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/12*(-451056)\/(-18). Let x = 12485\/6 - w. Find the common denominator of x and 97\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -8, -1\/3 in decreasing order.\nAnswer: 4, -1\/3, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.67494 months in years?\nAnswer: 17.556245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-30)\/4 + (-50)\/(-20) + 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - 43 - ((-6 - 36) + 6 - -39)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4524 - -176?\nAnswer: -4326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1443999 minus 4.51?\nAnswer: -6.6543999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/6)\/((-8)\/(-24)). Suppose 0*i = -i + 2*x + 12, -12 = 2*i + m*x. Solve 1 = -y + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*k - 19*k**2 - 8*k**2 - 36*k in the form m*k**2 + z*k + a and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127118684*u - 28222707 wrt u.\nAnswer: -127118684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 112*i - 6145. Calculate the remainder when f(121) is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23474839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 4. Let m(z) = 1. Let j(c) = m(c) - p(c). Determine j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 1, s: 2}. What is prob of picking 2 i and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47457.\nAnswer: 3, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 169?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/42 + -1*9\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458780000 rounded to the nearest one million?\nAnswer: 459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-35)\/21 + 2)*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105413?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 4*q + 4*q + 0*q - 3*q - q + (1 + 1 + 0)*(-2*q - q - 3*q).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 45 and 42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-12))\/(3\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + (-40)\/(-12). Sort -2, k, -1 in ascending order.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1653475678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let b(w) = -972 + 972 - 4*w**3 + 3*w. Suppose 16*k + 42 = 37*k. What is k*j(l) + b(l)?\nAnswer: -4*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/133350 and -17\/93345?\nAnswer: 933450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1\/3, -11, -0.8 in descending order.\nAnswer: 1\/3, -2\/9, -0.8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000491691 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119016 by 1653.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -1972, -4411, -7820, -12199?\nAnswer: -17548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*n**3*p - 626*k**3*p + k**2*n**3 + k*n**3*p - 3*n**3*p + 37*n**2*p wrt k?\nAnswer: -12*n**3*p - 3756*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 7\/2*c**2 + 0*c**4 - 3*c + 1\/20*c**5 + 1\/6*c**3 + 0. Let d be 1\/3 + 2\/(-6). What is u(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5816 - -13168. Suppose y = -15*x + 23*x. Suppose 0 = 7*j - 54 - x. List the prime factors of j.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048669 to six decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -42841?\nAnswer: 42845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 22*o + 243. Let u be z(-7). Suppose -83*r + u*r - 12 = 0. Factor 1\/6*m**r - 1\/3 + 1\/6*m.\nAnswer: (m - 1)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -5*t - 0*t. Let n be t\/(-44) + (0 - -2). Let q = 17 - 18. Sort q, 3\/2, n.\nAnswer: q, n, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*u + 99*u - 648 = 0. Suppose -2*m + u = -y, -3*y + 46 = m - 28. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.4 + 10. Let j = -2.4 - k. Which is the biggest value? (a) 0.1 (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.48 (b) -5 (c) 2 (d) -40 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 178714, 4.\nAnswer: -4, -2, 4, 178714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 + -0.03. Let c = 0.34 - l. Let t = c + 0.06. Is t at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 19441775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250.12979636 - -180.129799. Let w = z - -70. Round w to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17968*a**3 - 258*a**2 - 17870001*a + 1.\nAnswer: -107808*a - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 14. Let q(y) be the second derivative of y**6\/720 + y**4\/3 + 12*y. Let i(c) be the third derivative of q(c). What is g(i(j))?\nAnswer: -2*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 2*c**2 - c + 2. Let w be j(-2). Solve p - 17 = -2*p + l, -w*p - l = -11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -21*l + 22*l - 332, 0 = -2*u + 4. Calculate the remainder when l is divided by 169.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-3289)\/(-276) + -11 - ((-14)\/6 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 452, 668, 878, 1082, 1280, 1472?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 373 (b) 4 (c) 1\/3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(((-105)\/(-485))\/(-7)) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2133222 (base 4) to base 2.\nAnswer: -10011111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204 + 204 - 30*c)*(2 + 2 - 7).\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10379 + 10383. Solve 0 = m + s*u - 21, -6*m + 12 = -4*m + 2*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 55. Solve h = 5*z - z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/70670 and -6\/332149.\nAnswer: 3321490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 29. Suppose -4*q - 2*k = -s*q - 27, -4*k = 5*q - 111. Which is bigger: q or 18?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 929997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 282*x - 3*x**2 - 3 - 285*x + x**2. Let h(f) = 11*f**2 + 17*f + 17. Suppose -5*t - 191 = -21. What is t*n(s) - 6*h(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197 * -11.\nAnswer: -2167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -2 - (-2 - -8). Let k(b) = -b - 2. Determine k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5\/6, -7, -4\/3, 2\/7 in ascending order.\nAnswer: -7, -4\/3, -5\/6, 2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -200.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 415604, 415855, 416274, 416861, 417616, 418539, 419630?\n\"Answer: 84*j**2 - j + 415521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 151, 152, 153, 154, 155?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*c*t*v**2 + c*t*v - 2*c*t - 4*c*v**2 - 3*c + 2*t*v + 2*v**2 + 25 wrt v.\nAnswer: 304*c*t - 8*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6578077.\nAnswer: 11, 598007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 355.6 + -353.3. Round p to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 7*m + 9. Let a be t(6). Let u(h) = 2*h + 7. What are the prime factors of u(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - h**3 - 2 + 1 + (-2*h**2 + 3*h**2 + 6*h**2)*(4*h - 2*h - 4*h) in the form v*h**3 + x*h + j + w*h**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - -5.05. Let q = 2 - -2.6. Let j = w - q. Which is the closest to 1\/2? (a) j (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/125 and -62\/25?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t + 1. Let l(g) = 3*g**3 + 5*g**2 - 4*g + 1. Let z(x) = -4*b(x) + l(x). Let c be z(5). Put 5, -1, -4, c in descending order.\nAnswer: 5, -1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or -49\/3?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 395172?\nAnswer: 1185516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2952 + 2955. Let a(f) be the first derivative of -2*f**2 + 0*f**4 + 15 + 2\/5*f**5 - 2*f**j + 0*f. Factor a(x).\nAnswer: 2*x*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-3) + 1\/((-1)\/1). Let q be 1 + 0 - -1*2. What is the first derivative of -i - 2*j**3 - j**q + 7*j - 7*j wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139.7 - -117. Let o = -23 - p. Let x = 0.43 + -0.03. What is the nearest to -1\/4 in o, -0.5, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 254*f**2 - 254*f - 921. Give u(128).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 3*o**2\/2 + 5*o - 28. Let d(z) = -2*z - 3. Let f = 23 - 20. Give f*h(w) + 5*d(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 4*a + 777. What is x(26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8707?\nAnswer: 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -813 - -821. Let s(m) be the first derivative of -18\/7*m**2 - 12\/7*m - 3\/7*m**4 + 15\/7*m**3 + o. Factor s(c).\nAnswer: -3*(c - 2)**2*(4*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4252299667 to the nearest integer?\nAnswer: 65210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 10:57 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25686606, 51373213, 77059820, 102746427?\nAnswer: 128433034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 16*r. Let i(w) = w**2. Calculate i(u(t)).\nAnswer: 16*t**4 - 128*t**3 + 256*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 14*p**2 - 153*p + 2522. Give j(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137480 by -4910.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. Let s be (-174)\/(-1653) - (-34)\/38. Let r(p) = 2 - 3 + 2 + 7*p. Let o(g) = -g. Determine k*o(i) + s*r(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 9*s**2 + s + 2. Let t be o(9). Suppose -3*i - 48 = -t*i. Find the third derivative of 21*v**2 + 3*v**2 - 3*v**5 - i*v**2 - 13*v**5 wrt v.\nAnswer: -960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-160)*4*-6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*r - 39, 6*w - 59 = w + 3*r. Let z be (-11292)\/160 - (-2)\/w. Let s = z - -70. Which is the third smallest value? (a) s (b) 0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*r - 2575 + 2582 = 0, 5*r - 20 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 342?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -3. Let l = 40 + k. Let h = l - 10. Calculate the least common multiple of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 65*j - 2 + 3\/2*j**3 - 5\/2*j**2. Let w be -2*(1 + -2) + 2. Let m(z) = 5*z - 3. Calculate w*n(d) - 7*m(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 133 (b) 1\/9 (c) -20.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400317 is divided by 320.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, 0.1796 in descending order.\nAnswer: 3, 2\/5, 0.1796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*p = -8, -3*w + 44*p = 49*p + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + y**2 + 16*y + 3*y + 2*y**2. Let o(a) = -a + 1. Let j(x) = f(x) + 5*o(x). What is the tens digit of j(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - a + 93505 = -133431, 113468 = 2*w + a. What are the prime factors of w?\nAnswer: 2, 19, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 25*j - 84 - 409*j**2 + 501*j**2 + 11*j - 11*j. Let k(h) = 46*h**2 + 11*h - 42. Let p(b) = -7*k(b) + 3*w(b). Find the second derivative of p(i) wrt i.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634121?\nAnswer: 43, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*x + 4*j + 17, 0 = 2*x + 4*j - 30. Let k(u) = -15 + x + 8*u + 9. Determine k(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 173 + -109. Let c = y - 61. Solve 0 = -2*x + 4, -c*s = -5*x - 2 + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, p: 5}. Give prob of picking 2 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 2827\/407 - (7 - (-1667)\/37)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6791, 7425, 8059, 8693, 9327, 9961?\nAnswer: 10595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*d = -23 - 99. Solve -d*i = f + 1, 5*i - 12 = -4*f - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263995777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381 - 5.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*s = -94*s - 260. What is the remainder when s is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400212276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5372 = -69*h - 700 for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 3\/7, -0.347, 7 in descending order.\nAnswer: 7, 3\/7, -0.347, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 167*k**3 - 263*k**3 - 221*k**3 + (0 - 2 + 4)*(3*k**3 - 5*k**3 + k**3) - 2*k**2 + 2*k**2 - k**3.\nAnswer: -320*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/5 - 118480308*y\/5 - 1169798615314572\/5 = 0 for y.\nAnswer: -19746718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-216)*46 + -1 and -43\/11.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (6 - 16) + 14942?\nAnswer: 2, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -775a (base 13) to base 3\nAnswer: -211211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-3)*(-109)\/(-2) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 45195 + (1 - (-1 + -21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-15)\/2*(-76)\/57. Calculate the greatest common factor of 153 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 34*x + 21. Let s be w(-3). Let r = s + 83. Solve -r*t + a - 5 = -14, -2*a - 15 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*(1156\/255)\/34*-66.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -4, -130, 2 in ascending order.\nAnswer: -130, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 412231966.32 minus 18?\nAnswer: 412231948.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*l**3 - 51789*l**2 + 51789*l**2.\nAnswer: 193*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*m - 18 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32032 (base 5) in base 10?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - d + 15. Let j(f) = -2*f**2 + f - 8. Suppose -12*w = 22*w + 170. What is w*j(i) - 3*k(i)?\nAnswer: -2*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*y - 12*y = 83051353. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*q + 49*q - 2724 + 26067 = 0 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 14*g + 24 = 5*l, 3*l = 2*g + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23024 - 22944. Solve -k*o = -113*o + 264 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(1900) + -1.\nAnswer: -20*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90020\/560*(34 - 2). Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25118 * -8192.\nAnswer: -205766656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -7*w**5\/2 - 43*w**4\/4 + 683*w**3\/4 - 749*w**2\/4 - 1569*w\/4 - 27 = 0.\nAnswer: -9, -1, -1\/14, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 4:18 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**7\/525 + d**6\/5 - 393*d**5\/50 + 358*d**4\/3 + 560*d**3 + 229*d**2 - 11*d. Solve l(y) = 0.\nAnswer: -1, 20, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -4515.\nAnswer: -4\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3067 - 3091. Which is greater: -15 or q?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44916373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -39, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -11\/2, 76575, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3834\/53 + -7721\/106. Let h = 7 - 4. Which is the fourth smallest value? (a) h (b) 2\/13 (c) s (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 11:08 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.72 + -0.02. Let c = -688470.89999965 + 688471.6. Let o = k - c. Round o to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 4*a**2 - 4*a. Suppose b + 88 - 82 = 0. Let f = b + 10. Suppose -2*s - 3*z + 3 = -0*s, f*z = 5*s - 19. Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/4 + 10*i**3\/3 + 4*i**2 - 12*i - 22. Determine w(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -116*k**2 - 1397*k + 20. Does 10 divide b(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 1048 - 123. What is the common denominator of u\/90 + (-1)\/1 and 109\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r**2. Let a(n) be the second derivative of -n**4\/4 + 12*n + 22. What is a(x(q))?\nAnswer: -363*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57410?\nAnswer: 2, 5, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + x + 9, 5*l - 398*x = -811*x + 409*x + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 605700?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Suppose b*t = 3*q + t + 10, 3*q - 5 = -t. Suppose 2*w - 3 - 7 = q. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**10\/30240 + b**9\/7560 + b**8\/6720 + b**4\/6 - 8*b. Let n(m) be the third derivative of i(m). Factor n(x).\nAnswer: x**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -87, 2\/35, -2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-18))\/(20\/30)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7346 (base 8) to base 12\nAnswer: -225a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 7*y**2 - 8*y - 1. Let j be o(5). Suppose 4*a - j - 7 = 0. Let k = -0.025 + 2.025. Sort k, a, 0.7, 0.5 in increasing order.\nAnswer: 0.5, 0.7, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 194. Let l be ((3 - 2) + 3)*8. Suppose r + 0*r - l = o. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10909 + 19101.8919\nAnswer: 30010.8919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let s(q) = 9*q**3 + 2*q**2 - 1. Let w be s(1). Let f be 1177\/231 - 2\/21. Solve -k*t + w = -f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -74. Calculate the least common multiple of 38 and (2 - -1) + (13 - x).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -193, -267, -473, -877, -1545, -2543, -3937, -5793?\n\"Answer: -11*d**3 + 3*d - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + j**3 + 1)*(11 - 10 + 11) + (j**2 - j**2 + 2*j**2)*(3 - j - 3) - 3*j**3 + 3*j**2 + 5*j**3 - 5*j**3 as l*j**3 + p*j + k*j**2 + c and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let u = 0.1 - -0.9. Let h = -2.3 + 2.2. Put h, q, u in increasing order.\nAnswer: h, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*u + 3*u. Let y be 2\/((-24)\/u)*16. Let n be 4\/(-10) - (-132)\/y. Does n = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-25)*a**(-7\/8)\/a)\/(a\/(a\/((a**(1\/8)\/a)\/a))*a\/(a*(a\/(a**5*a))\/a)))**(-32) assuming a is positive.\nAnswer: a**992","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2362 + -2363. Which is greater: j or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 bigger than -1026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*z - 126*z + 10554. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-295)\/(-15) - (-4)\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19351347 to the power of 1\/2, to the nearest integer?\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.0713, 4, -3\/10, -2 in ascending order.\nAnswer: -2, -3\/10, -0.0713, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341929469.\nAnswer: 11, 17, 463, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58900, 119737, 180574, 241411, 302248, 363085?\nAnswer: 423922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*h - 126 = -8*m + 78*h, 0 = -2*m - h + 27 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g - 5. Let r be p(-4). Let k = -1 + 4. Suppose 0*z = -k*z + r. Solve 2*n + 3*x + z = -6, 3*n + 15 = -4*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.7 - 2.813.\nAnswer: 46.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 133*c**2\/2 - 263*c\/4 + 265\/2.\nAnswer: -(c - 1)*(c + 2)*(c + 265)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-143)\/(-78) - (-6)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**4 - 1280 + 1267 + 0*t**4 with respect to t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 58*z**2 + 52*z - 282. Let i be h(-57). Solve k - i*v - 4 = -9, -7*v + 18 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - o**3 - 3*o)*(-5 + 1 + 2) - 95*o - 90*o + 186*o + 12*o**3 as a*o + l*o**3 + h*o**2 + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19188*j**5 - 2*j**3 - 2292*j**2 + 4103882*j - 16 wrt j?\nAnswer: -383760*j**3 - 12*j - 4584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**9\/5040 + 3*i**8\/2240 + i**7\/280 + i**6\/240 - i**4\/12 + 5*i**2. Let t(v) be the second derivative of f(v). Solve t(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*v + 21*v - 81*v.\nAnswer: -167*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*u + 2, 5*u = -4*j + 32. Let i be (12\/54)\/(j\/(-9)). Which is the second smallest value? (a) i (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111836427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:27 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279*m**3*v**3 + 8556*m**3*v - 2*m**2*v**3 - 18442690*m**2*v wrt m.\nAnswer: 1674*v**3 + 51336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16624 - u - 8314 - 8310.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 936 and 18223452?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 8*b + 13*b. Let n(x) = 54*x. What is n(m(k))?\nAnswer: 432*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:44 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 5. Let u be m(15). Calculate the greatest common factor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1310 (base 5) to base 6.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*s + 4*u, 251 - 256 = -4*s + 5*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12*i - 52. Let t(v) = -2*v - 1. Let w(p) = b(p) + t(p). Let a be w(6). Let u = 53 + -4. What is the greatest common divisor of u and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (8 + -4 + 5 + -6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -560 or -6169\/11?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -45. Let a = -8 - z. Solve 5*k + k - 2 - 2*k**3 - k - a*k + 2*k**2 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = t - 4*w - 9, -5*t = -4*w - 12. Let h = -1236.1 - -1241.1. Which is the third biggest value? (a) t (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:36 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(4*v - 2*v + 0*v) + 20 - 3*v - 20.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2 - 933*l + 203580 = 0.\nAnswer: 348, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 45\/30)\/((-8572)\/(-8560) + -1). Solve -u + 1010 = 12*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*j**4 - 3*j**3 + 4740*j + 7814617.\nAnswer: -96*j**3 - 9*j**2 + 4740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 26. Let w be 2 + (805 - (x + 3)). Find the third derivative of 3*u**6 - 9*u**2 + 807 - w + 2*u**6 wrt u.\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-4)\/(-3))\/(42*47\/(-8460)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15 and 247.\nAnswer: 247.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-two fifths of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -7. What is the third derivative of 8*v**2 - 7*v**2 - b*v**3 + 0*v**2 - 4*v**2 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 15, 2*u = -171*r + 166*r + 2538665. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + o**2 + 1. Let c(z) = 15*z**3 + 3*z**2 + 3. Calculate -2*c(w) + 6*s(w).\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29719*p - 29719*p - 8*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118362, -236722, -355082, -473442, -591802?\n\"Answer: -118360*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -628*w - 80396. Calculate o(-128).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 268.730796 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.212704 minutes in milliseconds?\nAnswer: 252762.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22490 is divided by 66?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -117. Let k(g) = 310*g + 3596. Give k(b) + 31*z(b).\nAnswer: 310*b - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -233*t**2 - 4*t + 42. Let c(k) = -697*k**2 - 14*k + 125. Let s(r) = -2*c(r) + 7*o(r). Differentiate s(d) with respect to d.\nAnswer: -474*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 n when four letters picked without replacement from uninnntnuuttuttuut.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2115*a**3 - 3*a**2 + 9. Let l(r) = -2113*r**3 + 4*r**2 - 12. What is 4*d(z) + 3*l(z)?\nAnswer: 2121*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a = 74 - 602 - 844. Calculate the greatest common divisor of 5362 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.444 and 74.04?\nAnswer: -32.87376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1194806 or 1194892?\nAnswer: 1194892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + i**3 + 11*i**2 + 1 - 15*i**2 - 2*i. What are the prime factors of x(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a. Let p(b) = 6*b + 1. Let d(w) = -3*p(w) - 2*r(w). Let o be d(-1). Suppose m - 13 = o. Calculate the least common multiple of m and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -11 - 5. Let t be s\/(-6) - 8*26\/(-12). Let x(n) = 3*n**2 - 22*n - 4. Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2 + 2)*(-15*b + 10*b - 10*b) + (1 - 4 + 1)*(b**2 - 2 + 2) + 3*b**2 - 3*b**2 + b**2.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100222 (base 5) to base 3.\nAnswer: -10211100201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71876 and 61608.\nAnswer: 431256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (51 + -42)\/((315\/(-20))\/(-7)). Let h = 16 - -7. Solve -5*g + 2*f = -f, -h = g + c*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.8 + -68.8. Let n = -2.6 + 3. What is the nearest to -0.1 in -0.5, n, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155*n - 56.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 + 124080*q**2 + 206361792*q + 88253073664 = 0.\nAnswer: -29284, -868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4*(-3)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -382 - 3?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:21 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a tonne in kilograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 - 3*x**3 + x**4 + 3*x**2 + 2 - 9*x**3 + 10*x**3 as b*x**3 + w*x + o*x**4 + l*x**2 + c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 39 + 6. What is the remainder when (-1317)\/(-15) - 3\/x is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 12*k**2 - 10*k - 84. What are the prime factors of b(-9)?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/12)\/(31\/(-279))*(288\/63)\/(-8).\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 38722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 28998.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60.66 + -61. Let y = 12.66 - z. Which is the closest to y? (a) 0.2 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -1685400*q**5 + 6739480*q**4 - 25255562*q**3\/3 + 10080608*q**2\/3 + 12710*q\/3 + 4\/3 = 0.\nAnswer: -1\/1590, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u + 6. Let s(t) = 351*t + 208. Let z(b) = -104*r(b) + 3*s(b). Let o(d) = d - d - 2*d**2. Determine z(o(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -28*z - 88. Let u be v(-4). Solve 0 = u*c - 32*c - 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 38, -5, -0.3, 4\/5.\nAnswer: -5, -0.3, 0.5, 4\/5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-21)*(-480)\/(-400)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-5\/3)*(u*u\/u**(-1))**(2\/45) assuming u is positive.\nAnswer: u**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -202767155?\nAnswer: 1\/40553431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 6*p + 70 = 0, t + 9 + 25 = 141*p - 145*p - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:52 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070 is divided by 218.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -181, -468, -895, -1468, -2193, -3076?\nAnswer: -4123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 5)\/(((-480)\/350)\/16). Solve -25*c + 32*c + l = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 20*u**2 - 38*u + 12. What are the prime factors of s(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2134 is divided by 270.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**6\/40 - h**5\/30 - h**2\/2 + 3*h. Let g(p) be the first derivative of i(p). What is the third derivative of g(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by (-1940)\/(-16) - 53\/212.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 112, 437, 1208, 2647, 4976?\n\"Answer: 37*v**3 + v**2 + 63*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 480 - 77. Is p + (3 - (-4 + 7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y)*(2 - 1 - 3)*(0 + 0 + 1 + (-1 + 2 + 1)*(4 - 6 + 0)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-504) - 12\/(-21). Let j = 5094 + -5093.6. Let r = 1 - 2. Which is the closest to s? (a) 3 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**32*p*p\/(p\/(p*p**(1\/4)*p))*p*p*(p*p*p**(-2)\/p)\/p assuming p is positive.\nAnswer: p**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2115771 millilitres?\nAnswer: 0.0002115771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 0.1133462.\nAnswer: -0.1866538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqio when four letters picked without replacement from {l: 4, o: 4, q: 6, i: 4}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 249913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (612\/462 + (-2)\/11)*14\/4. What is the third smallest value in -1, d, 2\/15, -17, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423 times 0.082172?\nAnswer: 199.102756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 66 = -2*v. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52 (b) -3 (c) -1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 2 = -5*i - 6*j, 0 = -10*i - 4*j + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133196\/10387767 - 1\/532706. Let n(t) = t. Let j be n(0). Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 53 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Let n = -3.08 - -0.08. Which is the closest to 1? (a) -0.2 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 1. Let u be v(2). Suppose -j = 5*z - 10, u*z = z + 3*j + 27. Suppose -5*n + 350 = z*q, -2*q + 3*q = 4*n + 145. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90058 and 2368?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 + c + 2. Let n(d) = -56*d**2 - 11*d - 22. Let q(i) = 2*n(i) + 22*v(i). Let h(j) = -1038*j + 1. Calculate q(h(y)).\nAnswer: -2154888*y**2 + 4152*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 92340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - 5*-1*sqrt(405) - (sqrt(405) - -2*(sqrt(405) + 1)))**2 - ((sqrt(30)*1)\/sqrt(6) - (sqrt(405)*-2)**2).\nAnswer: -109*sqrt(5) + 5269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*y + 57 - 401, -y + 74 = 2*z. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (152408\/(-36))\/((-16)\/72) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/80*(-12)\/42*(-9)\/(-9)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2416834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53830691, 107661392, 161492093, 215322794, 269153495, 322984196?\nAnswer: 376814897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 7:06 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.92627 - 0.07373. What is the nearest to s in -0.3, 5\/4, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2370, 1\/3, -4, 0.4, -2\/11, 3 in descending order.\nAnswer: 3, 0.4, 1\/3, -2\/11, -4, -2370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 20 = 583*w - 578*w, 0 = 2*a - 5*w - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37709*h*v**5 - 2*h*v**2 + h - 1494*p*v**4 + 9971594*p*v**2 wrt v?\nAnswer: 2262540*h*v**2 - 35856*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 300*z + 2500.\nAnswer: 5*(z + 10)*(z + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -677 times 1?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*y - 6*y + 6*y in the form s + u*y and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**2 - 4*f**2 - 2*f**2 - 4*f**2 + 4*f**2 + 2*f**2 + 2*f**2 - 3*f**2 - f**2 - 3 - 2*f**2 + 3 + (-2*f + 4*f + 0*f)*(-4*f + f + f) + f**2 + 0*f + 0*f.\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 2*f + 4*m - 1, -f - 1 = 5*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1470 - -1469.5. Put -2, 9.1, f in decreasing order.\nAnswer: 9.1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392966 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 121 + -49046?\nAnswer: -48c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.115 - 7.515. Let w = 7.9 + i. What is the closest to 2\/7 in -1, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 86479.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 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: What is 39 minutes before 10:18 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -16*n + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 131472.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.062 (b) -317400 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 58*p + 3*x = 33, 0 = 3*p - 5*x + 39 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63))**2 + (sqrt(7) - (sqrt(112) + (sqrt(112) + sqrt(112)*-1)**2 + sqrt(112))).\nAnswer: -7*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/76359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + u + 5 + 4 + 0 + u + 0 + 2 - u - 2 + 4*u - u - u + (-3*u + 3*u + 2*u)*(-1 + 0 + 3) - u - 4*u + 2*u to f*u + j and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 120956 * 31\nAnswer: 3749636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*w**4 + 14*w**4 - w**4 + (0 - 3 + 5)*(2*w**4 + 0*w**4 - w**4) - 8 + 8 - 5*w**4 - w**4 + 0*w**4 + 0*w**4 + (-w**3 + w**3 - w**3)*(-3*w + w + 3*w).\nAnswer: 41*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10424 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 10*p - 3*d - 6 = 0, 0 = -2*d + 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:01 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = -6*m. Let r(i) = 12*i**2 + 4*i - 1. Let a be r(m). Let u = a + 314. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11ba38 + 5?\nAnswer: 11ba41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 220663 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 696513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 17*f + 2. Calculate x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6 and ((-93)\/(-18))\/((-94)\/18).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s - s**2 + 0*s**2 - s**2 - 25*s to u + v*s + m*s**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -20, -21?\n\"Answer: -y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 51*t + 309. Let x be q(-6). Let n(s) be the second derivative of 0 - 3*s - 1\/6*s**4 - 4\/9*s**x + 4\/3*s**2. Determine z, given that n(z) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 20*d - 2 + 1.\nAnswer: 20*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 22975 = 5*y, -4*y + w - 7005 + 25398 = 0. Let i = y + -3198. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290574?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -330112210 (base 4) to base 5\nAnswer: -30402304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-118)\/(-413))\/(30\/63)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00864218658 to 5 decimal places.\nAnswer: -0.00864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poootoodnd. What is prob of sequence dn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644264 take away 21?\nAnswer: -1644285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 94972*n - 1127460098.\nAnswer: -2*(n - 23743)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66498 = 42*h - 60972. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6148 and 14840?\nAnswer: 430360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 86. Calculate h(-12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4 = 0, 11 = -b - 3*z + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18988 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1926)\/(-30) - 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -18 + -16 + 17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 6*x - 253. Solve r + x = -3*r + 3*q, -3*q + 11 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*k**3*o - 28*f*k**3 - 3*k**3*o - 17*k**3 + 3*k**2*o wrt f?\nAnswer: k**3*o - 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*i*x - 2*h*x - 167*i*x**3 + 10*x**3 + 19*x**2 wrt i.\nAnswer: -h*x - 167*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2690.686 decades?\nAnswer: 26906.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 91, 212, 383, 604?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 78 - 36 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 113 = -4*q, 4*q - 7*q - 473 = -5*l. Let i = 154 - l. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -13.4, -1\/8, -156?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-34)*(-980)\/(-5). Solve s - 112 = -2*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = d - 6*d. What is d rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 42*j**3 + 72*j**4 + 114*j**4 - 240*j**2 + 416*j - 188*j**4 = 0.\nAnswer: 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, 28 in decreasing order.\nAnswer: 28, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 506 = 154. Let p = t + 175\/2. What is the second biggest value in -1, -2, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3965, -2569, -1187, 181, 1535?\n\"Answer: -7*v**2 + 1417*v - 5375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-2) + -2 + 9. Let j be (2 - -2)*g\/4. Let n = -539 + 542. Solve -u + n*k = 3, -6 = 2*u - j*k + 4*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173907.3439 - -173890. Round l to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -9. Let q(h) = -90*h**3 - 12*h - 17*h**3 - 10*h**2 + 6 + 108*h**3. Give q(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -141 + 6064?\nAnswer: 5d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 4*l. Let j be f(3). Suppose s - 6*s + w + 58 = 0, j*w = -2*s + 30. Calculate the lowest common multiple of s and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -119405 (b) -1.3 (c) 3\/7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {g: 11, i: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26761, -52856, -78953, -105052, -131153?\n\"Answer: -f**2 - 26092*f - 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 648?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16.18. Let o = r - -6.82. Let i = 1145 - 1144. Which is greater: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -9) + -3 + (5 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c + 12. Let h be d(-5). Let b = -63 - h. Solve b = -2*y + 4*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/18 and -38\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**7\/210 + a**4\/24 - 9*a**2. Find the second derivative of c(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 7*o + 5. Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuaa when four letters picked without replacement from ywwwuafwa?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 2:56 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 15*f**2 - 14*f + 2. Let k be x(-14). Let z be 1\/(k - 1) - -3. Suppose -5*p - 20 = -2*m, -z*m = -4*p - p - 30. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - 2) + -5 + 5493 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 - 1.93. Let w = 1.39 + -0.286. Let s = w - 0.104. Is d at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 1004*z + 99408.\nAnswer: -4*(z - 327)*(z + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*i - 43. Suppose -q = -0*q + 2*w - i, 4*q = 5*w + 10. Find the second derivative of -2*z + 3*z**q - 6*z**5 + 0*z + z wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -522 + 578. Calculate the remainder when j is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -3*b + 3*q, -78*b - 5*q + 185 = -91*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d + 3 - 9 - 59*d - 39 + 113*d.\nAnswer: d - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -525380, 5, 0.2, 7 in decreasing order.\nAnswer: 7, 5, 0.2, -525380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 times -0.655?\nAnswer: -143.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 + 169*c**2 + 349*c - 3439. What is u(58)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59.457 + 0.861.\nAnswer: -58.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyk when three letters picked without replacement from {k: 4, m: 2, y: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - t + 4*t**2 - 5*t**2 - 2*t**2 + t**2 to the form w + v*t**2 + i*t + q*t**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p - 52. Let r(o) = 2*o**2 + 18*o - 18. Let x be r(p). Let c = x - 35. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 197, -1051, 0.2, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -4\/73, 6\/5 in descending order.\nAnswer: 4, 6\/5, -4\/73, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 8. Let n be m(-5). Solve 2*o + 2*c = -c + 11, n*c = -5*o + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3369*k**2 + 3363*k**2 - 6735*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 4*b + 7. Let h = -9 + 4. Let g be p(h). Solve 0 = -t + 5*o + 3, 12 = 4*t + g*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55493993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -19*i + 14. Solve 0 = -4*k + 3*b + 2, i = -3*k + 5*b - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*p + 78*p = -9. Let m(u) = 2*u**2 + 6*u + 1. Let h be m(-8). Calculate the highest common divisor of h and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20919213 or -20919199?\nAnswer: -20919213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(5 + (-133)\/28). Solve 0 = -i + 5*i + 5*r, -2*i - r = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(77) + ((sqrt(77) - (sqrt(77) + (-4*sqrt(77) - sqrt(77)) + sqrt(77)) - sqrt(77) - sqrt(77))*-4 - sqrt(77)))\/(sqrt(132)\/sqrt(972)).\nAnswer: -72*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 367604, 367591, 367556, 367487, 367372, 367199?\n\"Answer: -2*y**3 + y**2 - 2*y + 367607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 3*x - 4 - 2. Let o(c) = -1. Let b(y) = -11*o(y) + 2*p(y). What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 - 5*z**4\/12 + 17*z**3\/6 - 5*z**2. Let d be s(8). Solve -5 + d = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 9. What is j(-10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 11 = -h, -8 = -h - j - 1. What is the lowest common multiple of 5 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*u**2 + c**3 + c**2*u - 16271*c**2 - 2*c*u**2 - 1208*c*u + 4*c - 3*u**2 + 2 wrt c?\nAnswer: -6*c*u**2 + 6*c + 2*u - 32542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102 (base 3) to base 10.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -628*b + 4989. What is y(8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 9.424.\nAnswer: -207.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322388585 is divided by 6318?\nAnswer: 6317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1081607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10428816 is divided by 299?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -52) + 1 + -1 + (187 - 289) + 93\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tte when three letters picked without replacement from {h: 7, u: 1, t: 3, e: 2, y: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1960) + sqrt(40))\/(2*sqrt(8)*-3)*5.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 152*l - 149*l - 12. Suppose 4*p = -5*s + 20, 16 = -5*p - l*s + 8*s. What is the nearest to 0 in 0.2, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42199.\nAnswer: 19, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**4 + n**2 + 5*n. Let f(w) = 145*w**4 - w**2 - 4*w - 250. Let c(v) = -f(v) - t(v). Find the first derivative of c(r) wrt r.\nAnswer: -584*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*n - 7*f - 345, 3*n - 201 = 3*f. Let s(p) = p + 5. Let d be s(-5). Suppose v - 2*v + 9 = d. What is the highest common divisor of n and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, h: 1, m: 5}. Give prob of picking 1 m and 1 h.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*z + 13 = 0, 8*z = 5*k + 4*z + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231022323 + 3?\nAnswer: 231022332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1249*p**2 - 1100*p**2 + 11638*p**2 to the form r*p**2 + g + x*p and give r.\nAnswer: 9289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2\/9*q**3 + 20 + 8\/9*q**2 + 34\/3*q = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 155*v + 3122. Calculate l(-24).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = 4*x - 310. Suppose -5*d - 118 = -3*f - x*d, -5 = 5*d. What is the least common multiple of f and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/23)*y*y\/((((y**(-1\/2)*y)\/y)\/y)\/y))\/(y**(-1))**(-5\/19) assuming y is positive.\nAnswer: y**(3627\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946209?\nAnswer: 7, 31, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 30. Let s = c + -5. Suppose d = -5*p - 7176 - 14825, 2*p - s*d + 8795 = 0. What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Let z = -4 - i. Let p = -3.989 - z. Round p to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 1781*j + 112243. Determine g(522).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = 4*n, -6*d + n - 9 = -28. Let o(x) = x. Let k be o(2). Sort -3, k, d, -2 in increasing order.\nAnswer: -3, -2, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 1, w: 1, g: 1, z: 1}. Give prob of picking 1 g, 1 a, 1 y, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4298 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 103289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36010965.\nAnswer: 3, 5, 79, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 6*s. Let m be g(7). Let c(j) = -3*j**3 - m + 4*j**3 - 5*j**2 + 9 + 4*j. Let x be c(4). Solve 0*z + 2*q = 2*z + 8, -3*z - 7 = x*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17981*z**6 + 4*z**2 + 363*z + 2 wrt z.\nAnswer: -2157720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-11))\/3 - 0. Let n = -74.029 + 74. Let p = n + 0.529. Which is the nearest to g? (a) p (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-128 + 97 - 154)*(3*s - s - 3*s) - s + 5*s + 3*s - 2*s + s - 2*s to m + j*s and give j.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9 + 6 = 0. Suppose -2*y = 3*v - 137, -5*y - c*v + 320 = -0*v. Let h = -686 + 719. Calculate the remainder when y is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10635 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2186*w**2. Let i(s) = 12*s**2. What is k(i(f))?\nAnswer: 314784*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p**2 + 0*p**2 + 0*p**2 to the form b*p + h + q*p**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3\/4 + 735*m**2 + 435105*m\/4 + 429245\/2 = 0.\nAnswer: -293, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4 and 9\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*x - 1 + 11, -c - 4*x = 8. Let f(u) be the first derivative of -1\/3*u**3 - 20 + 0*u**2 + 7*u. Give f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 15. Suppose -h*r + 106 = -409. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65703*n**3*t - 95*n**2 + n*t + 123073608*t wrt n?\nAnswer: -197109*n**2*t - 190*n + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 3)*1 - 7. Calculate the remainder when 2 + (-3 + 2)*n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13515.9299968 - 13516. Let v = s + 0.07. Round v to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Find the third derivative of 2*s**3 - 2*s**2 - b*s**3 - s**2 - 2*s**3 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 0 - 3*z**2 - 9 - 18*z - 4*z - 15*z + 25*z = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277145047?\nAnswer: 277145047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 362.8180375 to 1 decimal place.\nAnswer: 362.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157*j**4 - 211 - 124 + 87 - 87*j**4 wrt j.\nAnswer: -976*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1008, 8044, 27126, 64278, 125524, 216888?\n\"Answer: 1004*n**3 - n**2 + 11*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 2, 155, -3, -0.91, 0.01 in descending order.\nAnswer: 155, 2, 0.01, -0.23, -0.91, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243010 (base 11) to base 10.\nAnswer: -384670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y**(8\/15)*y))*y*y**(3\/25))\/((((y\/y**(-40))\/y)\/y)\/(y*(y*y**(-3)\/y)\/y)))**15 assuming y is positive.\nAnswer: y**(-3026\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2 + 10*p + 2 - p**3 - 5 + 7*p**2. Let k be m(8). Let u = k + 10. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/80 and 33\/4300.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -68?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1406 divide 224258406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943 + 5112 = 212*x - 305 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 9, o: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, w: 4, k: 10}. Give prob of picking 1 k, 2 w, and 1 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -5*x + 22, -1407*x + p + 2 = -1406*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, p: 3, c: 3, z: 2, x: 2}. What is prob of picking 1 z and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 9, 33, -57, -2, 1 in ascending order.\nAnswer: -152, -57, -2, 1, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/5 - 30792*d - 592592040 = 0.\nAnswer: -38490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/210181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/4)\/4 - -2. Suppose -4*i - 9 = 5*g - x*i, -4*g + 2*i = 2. Let b = 15 + g. What is the highest common factor of b and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7652627 divided by 4.\nAnswer: 7652627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*f**4 + 244518*f**3\/7 + 367256*f**2\/7 - 607128*f\/7 - 730048\/7 = 0. What is f?\nAnswer: -1342, -2, -1, 136\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36848635 + -8\nAnswer: 36848627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -63*r - 690. Is u(-46) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 21. Let s be y(-4). Let w = 29 + s. Let a = -65 + w. Solve -a*k = 10, -k = -2*u - 2*k + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170694927 to the power of 1\/2, to the nearest integer?\nAnswer: 34215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194 + 24*d**2 + 599 + 40*d**2 + 595.\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from wxxwxxx?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 94 + 176 = 58. Suppose -59\/5*r**3 - 7\/5*r**5 - 6\/5*r + 37\/5*r**x + 7*r**2 + 0 = 0. What is r?\nAnswer: 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 424.9806 days?\nAnswer: 36718323.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 + 5*i**4 - 5*i + 112 + 0*i**4 + 109 + 3*i - 224 as b + a*i + d*i**4 + x*i**3 + f*i**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 382 - 103.99.\nAnswer: 278.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 8. Let r(f) = -3*f + 17. Let q be r(5). Let t(p) be the second derivative of 0 + 1\/6*p**3 - 2*p + p**q. What is 2*j(w) - 9*t(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -2, 2\/13 in increasing order.\nAnswer: -2, 2\/13, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 8) to base 5\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22597, -49140, -75683?\n\"Answer: -26543*t + 3946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:27 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.0704 minutes to microseconds.\nAnswer: 8284224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2026\/39 + -52. Is j bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5 + 47*x**4 - 619*x**3 + 1585*x**2 - 1496*x + 484 = 0.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 42\/36)\/((-11)\/(-22)). Let j(n) = -n**2 - 6*n. Let r be j(-6). What is the closest to -0.1 in v, 2\/39, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79346 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010 - 10022020001?\nAnswer: -10022121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*a + 12, 5*k = -4*a + 3*a - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5, 3*g + a + 337 = -3*a. Let x = g + 327. Suppose f + k - 23 = 0, -5*f + 128 = -f - 5*k. Calculate the greatest common factor of f and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2315996113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:40 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222768 and 1002456?\nAnswer: 2004912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**2 + 59*a**2 - 96*a**2 - 141*a**2.\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1818, -481, 858, 2199, 3542?\nAnswer: 4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((13 - (29 - 14)) + -1 + -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 + 14*y**2\/3 - 208*y\/9 + 56\/3.\nAnswer: -2*(y - 14)*(y - 6)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = m - 5*g, 0 = -4*g - 7 - 9. Suppose 14*j + 698 = 29*j + 158. Find the second derivative of -m*i + 11*i + 42*i - j*i**4 wrt i.\nAnswer: -432*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((122\/(-40) - -3) + 1\/(-5))*(-3186 - -2938)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, 5, 42444.\nAnswer: -3, -1, 4, 5, 42444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 304.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 6:15 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let o = -1.2 - w. Let a = 1.07324 + -0.07324. What is the nearest to -0.5 in -1\/4, o, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281572061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1202, 2406, 3610, 4814?\n\"Answer: 1204*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1721, -3439, -5167, -6899, -8629, -10351?\n\"Answer: s**3 - 11*s**2 - 1692*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.8, -5, 69, 0.2, 3 in ascending order.\nAnswer: -5, -3.8, 0.2, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -179. Let u be (8\/(-12))\/((-2)\/f). Let h = u + 168. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -3051?\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650691729 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -38 (b) -0.1 (c) -0.04 (d) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 2823*o**2 + 11256*o - 11244.\nAnswer: 3*(o - 937)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z - 268 = -4*j, -4*z = -j - 527. Calculate the smallest common multiple of 108 and z.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(10\/3)*i*i)\/i**1)\/((i**(-1\/15)*i)\/(i\/(i*i**(-1\/3)))) assuming i is positive.\nAnswer: i**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.23 (b) 2\/9 (c) 0.3 (d) -0.072 (e) 12 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1652, -3476, -5308, -7154, -9020, -10912?\nAnswer: -12836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*(-12)\/(-273)*(-4)\/(-8). What is the nearest to -0.1 in -0.1, -14, s, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:24 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n + 5 = -s + 156*n, 0 = -4*s - 5*n - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5482\/6 - 4\/(-12). Suppose -6*c + 2*r + 3728 = -2*c, 5*r = c - n. Suppose -z - 298 = -4*l + c, -l + z = -311. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.008049 - 5.976749. Let g = f - 0.0313. Let y be 6*1 + (1 - 1). Is g less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 4. Let l be s(-6). Suppose -6*y + l = -y. Let x be (-1 - 5)*(-1)\/2. Solve w = -0*f + f + y, -5*f = -x*w + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4736495 micrograms in tonnes?\nAnswer: 0.0000000000004736495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w**2 - 4*w + 2. Is v(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 + 1 = 0. Let z be (i + 6\/(-3))\/(-1). Let p be 14*1\/14*12. Solve p = z*c + c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 424 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + w - 659 = 284, 1 = w. Calculate the common denominator of j\/36 - 14\/(-7) and (-106)\/(-8)*1\/(-9)*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11446*h. Let m(w) = -176*w. Determine 3*d(s) - 194*m(s).\nAnswer: -194*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826156094 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:34 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-105)*3\/(-2). Suppose 11 + 308 = 15*v + 4. What is the nearest to g in 1\/9, -4, v, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = y + y. Let n = 7 + y. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/28 and 107\/21697960.\nAnswer: 151885720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 635 - -207. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgpx when four letters picked without replacement from pxpg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 + 16*q - 8. Let h(s) = 7*s**2 + 18*s - 9. Calculate 6*h(u) - 7*m(u).\nAnswer: -7*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*j + 9. Let a(q) = q**2 - 7*q + 1. Let n be a(j). Is 1*-1*(-53)\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 6*g + 5. Suppose f = 3*q + 22, -3*f + 2*q - 18 = -7*f. Calculate o(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 9*j**2 + 13*j - 13. Let n be v(9). Suppose 3*w - n = -w. Calculate the remainder when 73 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 1. Let h(n) = -n**2 - 8*n - 1. Let w(p) = 6*f(p) - h(p). Let j be w(-4). Solve -2\/3*l**2 - 1\/3*l - 1\/3*l**j + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1820 and -113\/778940.\nAnswer: 70883540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -25*r + 1090. Calculate b(43).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = 5*a + 26*i - 5, -2*a + 3*i = -7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001001 (base 2) to base 8.\nAnswer: -3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**2\/3 - 24739844*n\/3 + 16493224 = 0.\nAnswer: 2, 6184959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-12))\/(-3 - 100\/(-36)). Solve -3*z + 9 = 0, -v*n = 2*n + 5*z - 35 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 6*l**2 - 3*l + 4. Let y be r(-4). Suppose 0 = 2*d + 3*d + 4*j + 297, -j - 60 = d. Let a = d + y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m + 92. Suppose m = -4*g + 3. Put g, 5, -4 in ascending order.\nAnswer: g, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2572276.719 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.83163 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -6. Let y(h) = h**2 + 6*h - 3. Let k be y(f). Suppose -2*v + 4 = 10, -72 = -5*s + k*v. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 363\/5 + -72. Which is the third biggest value? (a) -2\/7 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9581 is divided by 54.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 24 - o**2 - 42 - 223. Let u(h) = 2*h. Calculate u(w(m)).\nAnswer: -2*m**2 - 482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**20\/(u\/u**18)*u\/(u\/u**7)*u*u**(-18) assuming u is positive.\nAnswer: u**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242\/3 - -80. What is the second biggest value in -2\/5, -2, 0, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooot.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyyryyvaavnyygy. Give prob of sequence ynan.\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a meter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/((-2)\/(4 + -2)). Does 75 divide (-7504)\/j + (4 - 84\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 118747 in decreasing order.\nAnswer: 118747, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5612 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: ((-112)\/196)\/(19\/(-7) - -2)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473071.461 rounded to the nearest 10000?\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b67 (base 16) to base 5.\nAnswer: 23121334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6 - 3. Suppose 5*l = -2*w + 19, -k*w + 1 = l - 21. Suppose -w*c + 10 = -2*c - 5*a, 0 = 3*a. Calculate the lowest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 12\/9*-6. Let f be ((-122)\/(-4))\/((-1)\/q). Find the common denominator of 62*(f\/(-60) - 3) and 47\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -3 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -401 or -406?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 332859 or 332850?\nAnswer: 332859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + 5 + (0 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4030334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4554501 and 4969.4552.\nAnswer: -4549531.5448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/4907 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - a**4 + 4*a**4 + (15*a**3 - 7*a**3 + 7*a**3)*(-1 + a + 1) + 4*a**4 - 6*a**4 + a**4.\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2974 - 0.6974. What is the closest to -29 in -0.32, k, 3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3\/(a*a**(1\/10))*a**(2\/17)\/a**(-2) assuming a is positive.\nAnswer: a**(683\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6.7. Let d = 0.1 + 0. Which is the closest to d? (a) m (b) -0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47178373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 102554065 to the power of 1\/2, to the nearest integer?\nAnswer: 10127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27231, -54453, -81675?\n\"Answer: -27222*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 6715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - g - 15 = 0, -2*g + 6*g + 12 = 4*j. Let d(y) = -y - 3. What is d(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z + g - 152, 0 = 2*g + 8. Let f = z + -37. Solve -f*k + 0*k = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 22*w + 33 + 31.\nAnswer: -22*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 90 = 75. What is the greatest common factor of w and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9036908 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: Expand (c + 0*c + 2*c)*(0 - 39 - 9) + (-c + 2*c - 2*c)*(-9 + 7 - 10).\nAnswer: -132*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + l = 39 - 15, 4*l + 56 = -0*r - 4*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o - 2. Let t(m) be the first derivative of 2*m**2 + 12*m - 4. Suppose -4*n = -5*x - 31, 3*x - 4*x + 5 = 2*n. Let u be t(x). Determine y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*i**3 + 381*i**2 - 57*i**2 - 324*i**2.\nAnswer: 141*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 20.8. Which is the closest to 0? (a) -3 (b) s (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + (-2812896)\/90)\/((-1)\/35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5489859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2614*s**2 + 35*s - 254?\nAnswer: 5228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 348?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -586074.391 to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33613 (base 8) to base 5.\nAnswer: -423334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2057) + -5*(0 + sqrt(2057) + sqrt(2057))).\nAnswer: -297*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118877 is divided by 1668?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -34. Let z be 36\/p*3\/12. What is the nearest to 1\/3 in z, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c*o**3 + 12*c*o**2 - c*o - c + 1102*o**3 + 87*o**2 - 4*o + 1470709 wrt o.\nAnswer: 42*c*o + 24*c + 6612*o + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 t when four letters picked without replacement from ttjjjltjtlttjjjtjj.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-44)*198\/90)\/(182\/(-70))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f - 1. Let b be y(-1). Let o = -1 + 4. Suppose -22 = -5*q + o. Solve 0 = b*j + 5 + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 22*r**2 + 17*r + 141. Let t be a(23). Let y(w) = 10*w - 8*w + 2 - w**2 + 3. Give y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68520437?\nAnswer: 127, 439, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/((-5)\/35).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-30)*o**(7\/3)*(o**(-7)\/o)**(5\/6))**(-2\/35) assuming o is positive.\nAnswer: o**(206\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + 3 - 1 + 0*p**2. Let c be t(2). What is the highest common factor of 45 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9161 + 9222. Which is bigger: 64 or f?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12619, -25056, -37495, -49936, -62379, -74824, -87271?\nAnswer: -99720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -9, -4, 0, -8\/7 in descending order.\nAnswer: 0, -2\/11, -8\/7, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 n when four letters picked without replacement from {k: 5, j: 3, i: 1, h: 6, n: 1, s: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -43. What is the common denominator of -139\/18 and 262\/8*(685\/(-225) + c)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 3459\nAnswer: -6918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 155560319 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 - 141*o**2 + 4 - 3*o + 141*o**2 to d*o**2 + m + c*o**3 + k*o and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1870271064?\nAnswer: -1870271064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -7.5. Let w = 1 + n. What is the third smallest value in -4\/7, w, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/90)\/((-32)\/(-20)). Let t(s) be the third derivative of -1\/15*s**6 + 3*s**2 + 0*s**3 + 0 + 1\/10*s**5 + 0*s + c*s**4. What is l in t(l) = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2. Let r be (83 - 1) + (1 + 1 - 3). Let c(p) = r*p - 41*p - 37*p. Determine l(c(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3094 and 918?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9 = -2*w + 2*f, 0 = -4*w + 5*f + 12. Suppose 1 = -w*c + 10. What is the first derivative of 26 - 11*u**3 - 19 + c*u**3 wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -27.8. Let z = -117 - -61. Let j be (4\/z)\/(2\/(-4)). Which is the closest to 1? (a) j (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (9 - 9) + -2)\/1. Suppose -20*l + 15*l = -45. Sort l, -1, v, -3.\nAnswer: -3, v, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 10) in base 12?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 31. Let v be d\/1*(-10)\/460. Let i = -2.8 - -2.5. Which is the smallest value? (a) 15 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 5*k - 8. Let x be y(-7). Suppose 5*m + 2*q = 6*q + x, -q = m - 3. What is the third derivative of -5*c**5 + 6*c**5 - 38*c**m - 18*c**5 wrt c?\nAnswer: -1020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + (11 + -9 - -2859) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55178.\nAnswer: 2, 47, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y + 4, 0 = -a - 4*y + 18. Suppose -a*g = -g. Solve 4*h = -g*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-21)\/(-6))*1. Which is the nearest to -1\/2? (a) 3\/4 (b) l (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -0.032 (b) 2 (c) -0.3 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 2*i + 1. Suppose 5*d + 2 + 3 = 0. Let r be d\/4 - 3\/4. Let p be q(r). Put p, -4, -1 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -10. Suppose -c + f = -61. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0872 + -1.0052. Let u = -0.082 + t. Let i = 0.19 - -1.11. Which is the second smallest value? (a) 2 (b) -0.3 (c) u (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19716 - 1066 = 2920*q - 112846 - 129856 for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56655 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -2. Let n = -19 + f. Put n, 5, -2\/11 in ascending order.\nAnswer: -2\/11, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134628961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((-1*(-1 + sqrt(931)))**2 - 2*(sqrt(931) + -2)**2)).\nAnswer: -3748 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11859 + -5?\nAnswer: 11854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 629624247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 11. Suppose -l = v - 8, -6 = -3*v + v + 3*l. Let w be r(v). Sort w, 0, 5 in decreasing order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -75.7. Let h = n + 5. Let w be (-3)\/(-102)*(4 + 0). Put w, 2\/15, h in decreasing order.\nAnswer: h, 2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242611257 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x**3\/3 + 94*x**2 + 204*x + 152\/3 = 0. Calculate x.\nAnswer: -38, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcfc when four letters picked without replacement from {c: 13, f: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/11 - (-1092)\/(-77). What is the least common multiple of ((-48)\/14)\/(2\/h) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 0\/((-8)\/(-4)). What is s in g*s**2 + s**2 + 828 - 832 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 8*l**2 + 12*l + 5. Let r be h(-5). Let d = -16 + r. Suppose o = d*o. Sort o, -1, 2 in decreasing order.\nAnswer: 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*z**3 + 8*z**3 + 6*z**3)*(-23*z + 6*z - 41*z)*(0 + 0 - 1) as b*z**4 + r*z**2 + q*z**3 + l + y*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 divided by 10?\nAnswer: 296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2689499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(27)\/sqrt(3))\/sqrt(3)) - ((sqrt(3) - sqrt(27)*-2) + (sqrt(3) - -2*sqrt(3))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - -8.8. Let v(k) = -k**3 - 10*k**2 - 29*k - 30. Let t be v(-6). Suppose t = -5*a + 8 + 12. Are q and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from sxsxxrxlngxrgl.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3148*q**3*s**2 - q**3 - 4*q*s**2 + 922*q - 1 wrt s?\nAnswer: -6296*q**3*s - 8*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/12 + g**3\/6 - 5*g**2\/2 - g - 3. Let k(r) be the first derivative of a(r). Determine k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*s - 566 = 0, -3*c + 1152 - 828 = -4*s. What is the greatest common factor of 68 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/(-980))\/((-1)\/110) + (16 - 3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769.9265 meters to nanometers.\nAnswer: 769926500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*n**3\/5 - 276*n**2\/5 + 576*n\/5 - 64\/5 = 0. What is n?\nAnswer: 2\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47216829?\nAnswer: 3, 11, 1430813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42*16\/(-2))\/(2610\/3510*13).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 7. Solve -2*s = -3*r + 1 + g, 29 = r + 5*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 22 = -3*b + 5*n - 44, 2*b + 4*n - 68 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.892607 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -3*q**5\/80 + 1419*q**4\/4 - 1342374*q**3 + 2539771608*q**2 - 2*q - 2078. Solve h(a) = 0.\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, 4, 100, 248, 454, 724, 1064?\n\"Answer: y**3 + 17*y**2 - 8*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.2795 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:52 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -a69a?\nAnswer: -a6ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546265 (base 8) to base 4.\nAnswer: 230302311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-675))\/((-2564)\/(-640) - 4) + -5977 + 5986.\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:16 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + 15. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + u**2 - 1. Let k be w(1). Let r be ((3 - k) + 0)*2. Let y = -5 + r. Solve -s - y*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, x: 3}. Give prob of picking 1 x and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -16367\nAnswer: -16\/16367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22011221 (base 3) to base 11\nAnswer: -4533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5124443098 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/14608737 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203100 + 203?\nAnswer: 3203303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33463, 33467, 33475, 33487?\nAnswer: 33503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -32*r**3 + 9*r**2 - 97. Let t(n) = 967*n - 967*n - 8*n**3 - 24 + 2*n**2 + 0*n**2. Let w(l) = -4*j(l) + 18*t(l). Differentiate w(f) with respect to f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a hour in minutes?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 + 2. Let o = 712 - 4986\/7. Which is the closest to o? (a) -3 (b) -0.02 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3*z - 5, -233*p + 2*z = -234*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14099\/(-230) + 61)*105\/(-36)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17969 + 18613. Calculate the greatest common factor of o and 5957.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 4*n + 2. Let x(q) = q - 1. Calculate d(z) + 6*x(z).\nAnswer: -2*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**7)**(27\/5)*(u\/((u\/u**7)\/u*u))**(-2\/21))**(4\/9) assuming u is positive.\nAnswer: u**(2228\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21539 - 3505?\nAnswer: 1a034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*f + 1765, -3*z = -269*f + 266*f - 1059. Calculate the remainder when z is divided by 73.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/15)*b**8)\/(b**(-4\/3))**(-1\/56) assuming b is positive.\nAnswer: b**(549\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 410. Let r(j) be the third derivative of j**5\/60 - 4025*j**2. Calculate r(f(g)).\nAnswer: 9*g**2 - 2460*g + 168100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f**2 - 156*f - 37. Determine b(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 428.516 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 2 - ((7 - (9 - 1) - -11) + 5).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -28. Let o be (-3)\/(-6) - 3028\/l. Let p be 2\/(-5) + o\/(-70). Solve p*c + 20 = -0*c - t, 20 = -5*c + 4*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82549a1 + 15?\nAnswer: -8254987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8 - 44.8400283?\nAnswer: -35.0400283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 - 57*j**2 - 221*j - 7. What is z(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88877999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1126*h**2 + 4*h**3 + h**4 - 2252*h**2 + h - 9 - 3*h + 1124*h**2 to l*h**2 + c*h**4 + q + z*h**3 + a*h and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -4.1. What is the nearest to 0 in 5, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -15e77e?\nAnswer: -15e776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.012 + -0.176. Let u = 0.068 + g. Let s = -2.3 - -2. Which is the third smallest value? (a) u (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 744341\/223305 + 3\/74435. Factor -b*n**3 - 52\/3*n**2 + 1\/3*n**4 + 0 - 56\/3*n.\nAnswer: n*(n - 14)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 40 = 5*r, -2*k + k + 60 = 5*r. Solve -5*x + 2*x = 2*l + 1, -2*l = -x - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20950105643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 + -126. What is the remainder when 207 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/15 and -109\/120594.\nAnswer: 602970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d - 3*d, 3*u = -d - 6. Let i be -3*(1 - 2) + u. Let l = 6 + i. 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 -36 + -62 + 87 + 84.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 4:57 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/14)*n*n*n**25)\/(n**(-9))**(-38) assuming n is positive.\nAnswer: n**(-4407\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 8*y**2 + 3*y - 2. List the prime factors of h(-5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {g: 7, n: 6, b: 6}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32473.46703 and -0.0385.\nAnswer: 32473.42853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3717 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2181, -2177, -2165, -2139, -2093?\nAnswer: -2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) - (sqrt(140) - (sqrt(140) + sqrt(140)*3) - sqrt(140)) - sqrt(140)))\/(sqrt(320)*3))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*k + 120003, s - 4*k = 3*s - 80004. What is s rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21 - 146940400\/(-4200) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5\/4, 0, 37 in descending order.\nAnswer: 37, 0, -5\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x - 96*x - 6*x - 30*x = -14235 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 + 4 = 0. Find the third derivative of 9*j**4 + 2*j**4 - 3*j**4 - 60*j**2 - j**3 - a*j**4 wrt j.\nAnswer: 48*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*w + 87 = 0, 3*d - 16*w = -18*w + 167. Suppose 5*x = -5*c + 385, -195 = -2*x - 4*c - 37. What is the smallest common multiple of x and d?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 775 = 4*i, 15*k - 14*k - 4*i = 179. What is the greatest common divisor of 106 and k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(833) + sqrt(833)*4 - (6*sqrt(2057)*-2 + sqrt(2057) + 3 + sqrt(2057)*-1))**2.\nAnswer: -1336*sqrt(17) + 474129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**18\/f*f**(5\/6)*f)\/((f*f\/(f\/(f*(f**(-12\/11)\/f*f)\/f*f)))\/(f*f\/(((f\/(f*f\/(f**(-3\/7)*f)))\/f)\/f))))**(-45) assuming f is positive.\nAnswer: f**(-154905\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18199\/31369 + -2\/1651. Let y = v + -3\/38. Let x = -25 + 73\/3. Which is the second smallest value? (a) y (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8 (b) -0.0015 (c) -0.31 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0\/6*(-3)\/(-3)*(-2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpppzztbzbb. Give prob of sequence tzp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from shhshktdh.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -64.16. Let c = 0.827 + m. What is c rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*j - 12. Suppose 2*f - 8 = 0, -b + j*b - 181 = -4*f. Calculate the highest common factor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10839, 43350, 97527, 173364, 270855, 389994, 530775?\nAnswer: 693192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690107994 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691308625?\nAnswer: 3, 5, 7176823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 248. Calculate y(-58).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3*u**3 + 49*g**3*u + 4*g**3 - g*u**3 - 26*u**3 - 11*u**2 wrt g.\nAnswer: 18*g*u**3 + 294*g*u + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467, 971, 1487, 2027, 2603, 3227?\nAnswer: 3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2286331.\nAnswer: 29, 78839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1311 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = 90. Solve 5*g - 5*u + q = 0, 2*g = 5*u - 24 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*f + 32 = 0, -9*f + 11*f - 200 = 5*l. Let c be (-2 - l\/(-5))\/(127\/(-635)). Let s = -101 + 179. What is the highest common factor of c and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 45 - 3. Solve 0 = 5*v - 10, 0 = j*p + 2*v + v - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11902 - -11895. Put -4, u, 3, -5, 14 in decreasing order.\nAnswer: 14, 3, -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = x, 24 = 5*g - 0*x + 3*x. Solve -n - g = 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (637\/(35636965\/(-402)))\/(6\/(-20)*-2).\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2 - 12*k = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -3*sqrt(70))*-5 - -6*(1*sqrt(70) + sqrt(70)))\/(((-4*sqrt(640)*-4 - sqrt(640)) + sqrt(640))*5).\nAnswer: -sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(510)\/(sqrt(10)*1))\/(sqrt(300)*-1 + sqrt(3)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 - -4022. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -895 divided by -5?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 - -6*(-77)\/(-22). Solve 5*n - 19 = 2*x, 0 = -3*x + c*n - 2 - 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 3 (b) 0.3 (c) -3 (d) 1\/2 (e) -211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((4\/(-8004))\/(2\/(-3))) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923213041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 132 = 4*r, n - 36 = -3*r - r. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3415, -6839, -10265, -13693?\nAnswer: -17123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 243*s**3 - 2*s**2 - 24*s + 47. What are the prime factors of q(2)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14.5, -5, -4, 2, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -607 - -466 - (-101 - 4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 0.118, -2\/3, 2, -0.1, 10.\nAnswer: -2\/3, -0.1, 0.118, 2, 10, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-8)\/(368\/1062)) + (1 - (-101)\/161).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -933, -935, -937, -939, -941, -943?\n\"Answer: -2*h - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29127 and 3790671.\nAnswer: 4161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 169057063 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-2 + sqrt(114))*-1)\/(-1*sqrt(12)\/sqrt(2))*1)**2 + (2*2*(4 + sqrt(1900) + -1))**2.\nAnswer: 960*sqrt(19) + 30563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 13*f**2 + 8*f + 4. Let y be p(12). Let v = 41 + y. Put v, 5, 4, -6 in descending order.\nAnswer: 5, 4, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43237 + 24765 = 281*m. Calculate the least common multiple of 902 and m.\nAnswer: 9922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = n - 0*m - 2*m, 415 = 5*n - 5*m. Let r = -54 - -58. Suppose r*v + 74 = 4*i - 10, 0 = -2*v - 8. What is the remainder when n is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -121*y + 125*y. Let b = -64 - y. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 8814149545.\nAnswer: 8814149539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13151?\nAnswer: 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/133 and 12\/74461?\nAnswer: 521227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -4, 0, 7, -5, -138.\nAnswer: -138, -5, -4, 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637560457.\nAnswer: 637560457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 14*m - 21. Let p(y) = 6*y - 155. Give x(p(g)).\nAnswer: 84*g - 2191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-7) - (-84)\/(-72)*-6.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/(3\/(27\/3)). What is the second derivative of 261*r**3 + 0*r - 258*r**3 - 2*r**5 + 17 + u*r wrt r?\nAnswer: -40*r**3 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.35*-263.6\nAnswer: 619.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 19084 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-1)\/(-24)*10)\/(1\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 2*z**2 + 0*z)*(10 - 2 + 16) + (4 + 0 - 3)*(14*z**2 - 3*z**2 + 3*z**2) in the form u*z + a + w*z**2 and give w.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-145)\/45 - 4216\/(-18). Suppose -o + 1758 = 3*s, s - 2*o - i = 352. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11253 and 510.\nAnswer: 1913010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 10. Solve 0 = 4*h - a + 15, -5*h + 2*a = -n*a + 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87203881 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426281216.\nAnswer: 2, 1665161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123865 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 - 12 = 0, 4*h + 4*d - 16 = 0. Let m be 27\/h - (-3)\/6. What is the second derivative of 7*w + 341*w**5 + w - 356*w**m wrt w?\nAnswer: -300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2096544, 2096553, 2096560, 2096565?\nAnswer: 2096568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5792361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 2*b - b, -2*b + 17 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28433 is divided by 3547.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/2, 8, -3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 26*r - 86. Let p be i(29). Let o = -7 - 32. Let z be (-2)\/3 - o\/18. Is p != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + (-7)\/(63\/(-12)). Suppose v - 44 = -2*a, 0 = -v + a + a + 32. Suppose n*g + 1052 = 4*j + v, -j - g + 252 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 - 7*l - 119. Let b be d(-8). Let y be b*(-40)\/70 + (-330)\/(-14). Solve 2*k + i = -2*i - y, 5*i = -5*k - 45 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:42 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 + -139. Let x = 10 + -19\/2. Which is the second biggest value? (a) 16 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-364 - 305 + 970*c + 671)*(2 + 1 - 1)*(2 + 2 - 3)*(2 - 4 + 3) as p*c + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1732311279271 + 3\nAnswer: -1732311279268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**2 + 11*z - 11*z + z**3.\nAnswer: z**3 - 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6130 - 6139.165. What is g rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2 from 7.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3\/15 + 54*y**2\/5 + 2916*y\/5 - 23. Factor u(c).\nAnswer: (c + 54)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + s**3 - 4*s**4)*((0 - s + 0)*(5 + 1 - 4) - 4*s - 5*s - 3*s).\nAnswer: 56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*b + 5953, 2*w + 3*b - 1152 = 1204. Solve -w*d = -1191*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 4 + (-3 + 2 + 0)*(2 - 2 - 1) + 3 - 1 - 3 - 4 + 2 + 4)*(0*a**2 + 2*a - a**2 + 3*a**2) in the form q*a**2 + j*a + d and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3659, -0.5, -4, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.15 and 4069.5?\nAnswer: -4679.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) -15\/4 (c) -4 (d) -1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -895 - -895. Solve s = -n - 2*a, -7*n + 1 = -4*n + 5*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 881360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, i: 1, y: 1}. Give prob of picking 1 u and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0282, -0.4, 3\/2 in ascending order.\nAnswer: -0.4, -0.0282, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-29)*h**(5\/2)\/h*h assuming h is positive.\nAnswer: h**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-2*sqrt(2205)*-1 - (-1 + 1 + sqrt(2205))) + (sqrt(2205) + 2)*4*-1))**2.\nAnswer: 36288*sqrt(5) + 716724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10680 and 288.\nAnswer: 128160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 43 = -j. Suppose z + j = 5*u, -3*z + 21 = 3*u - 0*u. Suppose 2*b - 68 = -4*v, -3*v + 39 = 5*b - 4*b. Calculate the remainder when b is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**2 - 3*x**2 - 3*x**2)*(-75 - 48 + 2*x + 27) to l*x**3 + q*x + u + w*x**2 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -4. Let j(r) = r + 4. What are the prime factors of j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 28. Suppose -2*g + r + r = -22, 3*g - 40 = -4*r. Let w be a(g). Calculate the highest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 8770450238?\nAnswer: 8770450237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 875 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2797240?\nAnswer: 2, 5, 69931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 - -2.502954181?\nAnswer: 1.002954181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7)**(2\/77)\/(s**(30\/13)*s**(-12)) assuming s is positive.\nAnswer: s**(1412\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/53 and -33\/8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -109279 at least -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxlolxbmbtl. Give prob of sequence lm.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 0. Let n = -5 - -5.05. Let p = n - -2.95. Which is the nearest to 0? (a) l (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z)\/(z\/(z*(z*((z\/(z*z**0*z))\/z)\/z)\/z))*z*z**(2\/21)*z**(-6)*z*((z\/z**2)**(8\/3))**0 assuming z is positive.\nAnswer: z**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*h**5 - 10*h**4 + 9*h**3 - 43*h**2 - 36*h + 7.\nAnswer: 1080*h**2 - 240*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6 - 26. Let n = v - -12. Suppose 0 = -4*t - 2*g + 12, 5*t + 5 = 2*t - 5*g. Solve t - 15 = -n*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -6. Let z = 21 - i. Let j = z + -4. What is the third smallest value in j, -1\/2, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83135541?\nAnswer: 3, 337, 82231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 32*c - 24. Let z be n(-15). Suppose 6*t = -z*t + 8628. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 7*v - 2513. Suppose 349 = 4*d - v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40803 is divided by 1511.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7892.9327552 - 1.7.\nAnswer: -7894.6327552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 + 45*b + 6. Let m(h) = 4*h**2 + 45*h + 5. What is 3*a(c) - 4*m(c)?\nAnswer: -c**2 - 45*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 less than 1731?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-8))\/((-6)\/(-48)). Suppose -3 + 7 = c*r. Suppose -7*k + r*k + 100 = 0. Put -4, -1, k in increasing order.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 43?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by -7?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8425009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 5*x + 29, -133*i - 701*x + 704*x = -126*i - 81 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)\/t)\/(t\/t**(-2\/19)))**8 assuming t is positive.\nAnswer: t**(-1296\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -53. Suppose -44 + 144 = y*u. Calculate the least common multiple of u and (-4 - -3) + (4 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(12\/(-16))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8604\/(-20076))\/(((-42)\/20)\/(-7)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6644, 6646, 6648?\nAnswer: 6650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466079 is divided by 267?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 574, 1543, 3348, 6271, 10594, 16599?\nAnswer: 24568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2)\/4 + 3. List the prime factors of 19\/3 - s\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 198628, 198617, 198604, 198589, 198572, 198553, 198532?\n\"Answer: -q**2 - 8*q + 198637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -502 - -506. What is the biggest value in q, 0.5, -8\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**2 + 137537*j + 155856.\nAnswer: (j + 9168)*(15*j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 5*s**3\/3 + 3*s**2 + 133. Let c = -2 - -9. Is j(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 15502.39.\nAnswer: -9301.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.02 + 26. Is -1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 376 + 11 = 0. Let v be 9\/(-36) - d\/4. Let r = 14 + 49. What is the highest common divisor of r and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-27892)\/(-684) + ((-4)\/(-18))\/((-80)\/1810)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-1)\/117). Suppose -14*r = -11*r - 597. Suppose 0 = 5*l + 2*u + u - 207, -u + r = 5*l. What is the highest common factor of g and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 10 = 37*b. Suppose -86 = -3*q - b. What is the lowest common multiple of q and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 + 0?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19317811 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/440927760 and -29\/69288648?\nAnswer: 4850205360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3637, -2307, -987, 323, 1623, 2913?\n\"Answer: -5*b**2 + 1345*b - 4977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 41352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 4336188 and 4336188 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2340?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 255220 in ascending order.\nAnswer: 0, 3, 255220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -75. Solve -i = -w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21858?\nAnswer: 2, 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j + 7. Let n(x) = -23*x + 20. Let q(i) = -6*n(i) + 17*r(i). Let w be q(3). Solve -3*t + 10 = -2*z - w, -10 = -2*t + 2*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26228.9 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*r**2*v**3 + r**2*v**2 - r**2 + 41*v wrt v?\nAnswer: 1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010 - -10?\nAnswer: 1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3164*g - 6512*g + 3352*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 23, -3, -4, 14 in ascending order.\nAnswer: -4, -3, 5, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1821261 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-10)\/((-2)\/1)). Let w = 0.7 - 5.7. What is the smallest value in b, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*j + 79 = -1, -4*j = -16. Calculate the lowest common multiple of (-2 + -2)*28\/(-8) and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.88 - -0.29. Let a = u - 0.11. Let d = a + 0.3. What is the third smallest value in d, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-15))\/(((-6)\/(-2))\/(-30)) and (-16 + (-470)\/(-30))\/((-31)\/40).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 40 + 60 = 0. Let p = -1 - -3. Which is the third smallest value? (a) -2 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 137.2. Are y and -25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + u + 2 = 3*b, -u - 2 = 0. Suppose b = 3*f - 8*f - 60. Let z = f - -14. Is 3 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**3 + 65 - 65 - 44*i**3.\nAnswer: -61*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125795 + -32.1.\nAnswer: -125827.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 41*l**2 + 1119*l + 5. Give o(-36).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 58 = -83. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-420))\/(402\/(-536))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + u + 2. Let d be t(-2). Let g(v) = 3*v + 4. Give g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -23*r + 657. Let w be z(52). Which is bigger: -533 or w?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3141308?\nAnswer: 2, 19, 41333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1540.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**2\/2 + 8*p + 2. Let n be z(-4). Suppose -2*k = -4*r + 18, n*r - 25 = -0*r - 5*k. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3636, 3515, 3394, 3273?\nAnswer: 3152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5060507*i**4 - 69883*i**2 + 28.\nAnswer: -121452168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9727\/5 at least as big as -1945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -17861107 less than or equal to -17861105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 + 2*z - 13. What is l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - 0 - 7 - 7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from dddodddd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011173 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 201883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73450746 a multiple of 653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 b when four letters picked without replacement from gqvqbqyq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2.1, 16, 0.5, 0, 5, -0.9?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*v - 4*y - 10, -5*v + 175 = -5*y. Calculate the greatest common divisor of v and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41, 1 in decreasing order.\nAnswer: 1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -56. Let p = 17 - o. Suppose 0*a - a = -p. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 - 0.8. Let y = 562 + -631.9. Let p = -70 - y. What is the smallest value in p, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43734 + 6\nAnswer: 5.56266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 3*l + (1 - 1 + 2*l)*(0 + 4 - 6) + l - l + 2*l)*(-l - 2*l + l)*(2 - 4 + 1)*(3*l + l - 3*l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 6. Let h(n) = -11*n - 12. Let s(k) = -4*h(k) - 9*o(k). Let m be s(-6). Suppose c - 27 - 523 = m. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-1276)\/(-580) + 27\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-40) + (-6)\/(-48).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0 + 5*r**2 + 0*r**3 + 0*r + 0*r**5 - 1\/720*r**6 + 3\/8*r**4. Let q(y) be the second derivative of c(y). Determine q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*i - 20. Let b(p) = p**2 - 7*p + 4. Let h be b(i). Suppose 0 = 4*l - 5*s + 1, 5*l + h*s = 2*l + 7. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153224 or 153223?\nAnswer: 153224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/8)*v**5)\/(((v\/v**4)\/v)\/(v**(5\/6)*v))*(v*v**(-3)*v*v**(1\/2)*v)\/(((v**(-9)\/v)\/v*v)\/(v\/v**(2\/9))) assuming v is positive.\nAnswer: v**(1565\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 96931 and 46.\nAnswer: 96977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 69. Let n be ((-284)\/154)\/((-128)\/v). Let j = n - 3\/112. Sort j, -2\/7, 0.4 in ascending order.\nAnswer: j, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58882 - 5?\nAnswer: 58879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*v - 13, 5*v + 13 = 2*g + 40. Let z be (4 - (g + 1)) + 38\/(-8). Sort -4, -0.29, 0.4, z in decreasing order.\nAnswer: 0.4, -0.29, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*z + 39*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/210 + 5*k**4\/84 + 4*k**3\/21 - 2*k**2 - 27. Determine m, given that j(m) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2487 + 2508.66. Let g = 21.7 - q. Let h be (2\/3)\/(2\/6). Which is the fourth biggest value? (a) h (b) -0.5 (c) 3\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5181?\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 16164833?\nAnswer: 16164840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1461 or -1460?\nAnswer: -1461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 14 = 4*i. Let g = 5 + -8. Let t = -3 + 2. Which is the closest to t? (a) 0.3 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0866 less than 2?\nAnswer: -12.0866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5243.96 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3, l + 10 - 2 = 5*h. Let k(c) = -3*c - 4. Determine k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 55*q**3 - 2*q. Let y(o) = -164*o**3 + 6*o. What is -8*h(r) - 3*y(r)?\nAnswer: 52*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-4) + 2 + 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788726319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-1 - (-4)\/12). Suppose 3*h - x - 4 = 0. Is ((-155)\/20)\/(h\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3513.12*-0.149\nAnswer: -523.45488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23244 + -23202. Which is the smallest value? (a) -0.04 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2770514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -77511\/23 greater than or equal to -3370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10957707.\nAnswer: 3, 17, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16a67 (base 12) to base 4\nAnswer: 13331233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 303*m**2 + 7497*m - 7803.\nAnswer: 3*(m - 1)*(m + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20)*2)\/(4*(-7)\/420)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2. Let l be -84*((-35)\/(-10))\/(-7). Let g(b) = 8*b - 7. Let x(y) = -y + 1. Let z(n) = l*x(n) + 6*g(n). What is k(z(c))?\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6085929?\nAnswer: 3, 2028643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -387\/41?\nAnswer: -387\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/25 + 53\/(-5))*-19. Round u to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1217, -2433, -3637, -4823, -5985?\nAnswer: -7117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 12. Let z = 35 + -35. Sort j, -4, z.\nAnswer: -4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 27784930*n + 71.\nAnswer: -27784930*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:22 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(1\/3)*t)\/t*t)\/(t\/t**(-8))*t**(-1)*(t**(-13\/4)*t)\/t assuming t is positive.\nAnswer: t**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4773\/215 + 28 - 46\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 656627*k**4 - 3369*k**2 + 183 wrt k.\nAnswer: 15759048*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*j + 2. Determine x, given that x**2 + j*x**2 - 4 - 6*x**2 - 8*x = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + m = -2 + 9, 0 = -y - 5*m - 3. Suppose -h = 3*b - 5 + 7, -y = -2*h. Is b greater than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 16.6. Let i = x - 2.4. Which is the closest to i? (a) -5\/2 (b) -2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(99) + (sqrt(99) + 2*sqrt(99) - sqrt(99)))*1 + sqrt(99)))\/(((sqrt(108) - sqrt(108)*2)\/sqrt(4))\/sqrt(3)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**7\/84 + 7*g**6\/60 - 9*g**5\/20 + 11*g**4\/12 - 13*g**3\/12 + 3*g**2\/4 - 37*g. Factor s(k).\nAnswer: -(k - 3)*(k - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -175*l**3\/6 + 1036*l**2 - 3539*l. Find the first derivative of j(b) wrt b.\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83791736 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54607*l**3 - 97692*l**2 + 2*l wrt l?\nAnswer: 327642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*z**2 - 57*z**2 + 2 - 7)*(0*z**3 + 0*z**3 + z**3).\nAnswer: -2*z**5 - 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2190)\/1460)\/(2\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(637) - sqrt(637) - ((1*sqrt(117))\/sqrt(9) - sqrt(13)))**2.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 + 338?\nAnswer: 36e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/36 + (-20)\/(-9). Suppose -g - 3 = -3*o, 4*g + 5*o - 7 = 15. What is the third derivative of 3*v**6 - 2*v**6 + g*v**n + 5*v**6 wrt v?\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-35 + 21 - 54)*(0 + 0 + 11*p).\nAnswer: -748*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.99942 - 21. What is x rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.317986 to three decimal places.\nAnswer: -16.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66040 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 41328?\nAnswer: 289296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 31*n + 666. What is z(-45)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1362*n**3 - 3*n**2 + 4*n + 2. Let v(a) = 4086*a**3 - 9*a**2 + 11*a + 6. Let t(f) = -11*s(f) + 4*v(f). Is t(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15*m + 990 = 14*m, -3*m - 6 = 0. What are the prime factors of u\/3 + (13\/(-3) - -5)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -1 - 5) + (-9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5573000 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 3*l**2 - 2*l + 1. List the prime factors of u(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -29. What is the greatest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 11. Suppose -4*w + 29 = n*r - 48, r - 19 = -w. Let h = 35 + -5. What is the highest common factor of w and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 4. Let l(u) = 6*u - 6. Let z(i) = -5*h(i) - 3*l(i). Let o be z(-3). Solve -12 = -w - 4*c, -2*c = 3*w - o*c + 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from ddrbrdrdrrrrd.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/30 + 4*y**5\/15 + 2*y**4\/3 + y**2. Factor x(r).\nAnswer: 4*r*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 541529*b**5*r + b**2*r - b**2 + 10611*b*r - b + 4*r wrt b?\nAnswer: 32491740*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -312. Let x = -229 - g. Which is the second smallest value? (a) -2.4 (b) 4\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, t: 1, x: 1, f: 1, p: 1, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12960)\/420)\/(-18))\/((-66)\/63).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*i + 73*i, -3*a + 2*a + 4*i - 2 = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26767779 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15808\/21 - 755. Calculate the common denominator of -7\/9 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91669526.\nAnswer: 2, 13, 1787, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 4*y - 3*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkjkkjkkkjkjkkkjk. Give prob of sequence kk.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 56*f**2 + 4 - 4 - 57*f**2. Suppose -11 = -5*c + 4. Let z(p) = -c*p + 0*p + p. Calculate z(x(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 12:46 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 621\/15 - (9\/15)\/(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - 2*o**2 + 3. Let s(z) = z**3 - 10*z**2 + 9*z + 3. Let g be s(9). Suppose -4*r + g = -3*r. What is the units digit of c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/19 (b) -7 (c) -3 (d) -2\/3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10211122 - -11?\nAnswer: 10211133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328326 divided by -54721.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 972 + -958. Solve -g + v = 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5190?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45958920*j*r - j - 20362489*r wrt j.\nAnswer: -45958920*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/98 - (-11)\/63. Which is the nearest to j? (a) -0.4 (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -278783, -278816, -278849?\n\"Answer: -33*l - 278750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + -5 + (-2 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -3587046?\nAnswer: -5\/1793523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 96.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**8\/2352 + j**7\/98 - 2*j**6\/35 + 11*j**5\/105 - 2*j**2 + 25. Suppose x(z) = 0. What is z?\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 9 = 7. Which is the closest to -5? (a) 0.2 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6160 is divided by 268.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 9) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001401 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85065*q**2 - 121380*q wrt q?\nAnswer: -170130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*-1 + sqrt(2662) - sqrt(2662))\/(sqrt(8)*-1).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 15. Let g(d) = d + 4025. Determine g(u(f)).\nAnswer: -5*f**2 + 4010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 2)*(-700)\/(-840)*16\/(-10). Suppose 1\/2*t**3 - v*t + 0 - t**2 = 0. Calculate t.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/50 and 59\/(-474)*(4 + 102\/(-30)).\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 10, -14, 4, 1 in decreasing order.\nAnswer: 10, 4, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*p**2 + 23905911*p - 18928876.\nAnswer: -20*p + 23905911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -k, -2 = k - 3*s - 1. Let d = -9 + 33. Suppose -d = -k*p - p. What is the remainder when 14 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -71*d**3 - 11*d**2 - 19*d + 35. Is z(-6) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1745 - 1703. Put 3, 5, u in increasing order.\nAnswer: 3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 7, 3.\nAnswer: 0, 3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b + 4, 4*b = 3*y - 2. Suppose h = y*h. What is the smallest common multiple of 9 and 12\/(h - 0 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 - 8. Let k be b(-3). Let s = k + -59. Solve -c - 16 = 4*c - 3*z, -2*c - 25 = s*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23778.61287 rounded to the nearest 100?\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10\/47 (b) 0.2 (c) 0.04 (d) 3 (e) -11\/2 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2597 + 2642. Do x and 44 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*r**2 - 145 + 171 - 24 - 3*r - r.\nAnswer: 203*r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 7*c. Suppose 6*i - 16 - 2 = c. Suppose 4*w + i*m - 18 = -4, -5*w = 2*m - 14. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -13 + 76 + (-21 - -13).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61809.\nAnswer: 3, 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 471876401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.689 and -918.\nAnswer: -8894.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2002248 and 149\/360.\nAnswer: 10011240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91, -155, -219, -283, -347?\n\"Answer: -64*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0247 + -1.9033. Let c = 0.128 + x. Sort c, -1, -2\/13 in decreasing order.\nAnswer: -2\/13, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 8*a**2 + 5*a - 15. Calculate r(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397 - 590. Let o = 256 + a. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/3 - 158*a**3\/3 - 643*a**2\/3 - 808*a\/3 - 108 = 0. Calculate a.\nAnswer: -2, -1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/132705 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 - 209 = 89*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/6) - -1. What is the third derivative of -r**2 + 2*r**3 - 7*r**3 + q*r**2 + 0*r**2 wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2404 + -2411. Let p(z) be the first derivative of 0*z**2 - z**3 + 0 - 6 + z**2 + z**2 - 2*z. Let d(k) = -6*k**2 + 7*k - 4. Calculate f*p(q) + 4*d(q).\nAnswer: -3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 22*m - 1 + m**2 + 1\/4*m**4 + 4\/3*m**3. Calculate y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -119*v**6 + 5*v**3 - 130*v**2 + 5. Let u(w) = 178*w**6 - 8*w**3 + 195*w**2 - 8. Let s(a) = 8*q(a) + 5*u(a). Find the third derivative of s(t) wrt t.\nAnswer: -7440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 77. What is the units digit of 303\/o + 3\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 21. Let i(j) = -b - 80998*j + 8 + 3. Let x be i(-3). Round x to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3166 + 3165.9897. What is the nearest to -2 in 0.5, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -835707 to the nearest one thousand.\nAnswer: -836000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2645 and 51167525.\nAnswer: 51167525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 - 2405544*b**2 + b + 1771243 wrt b.\nAnswer: -6*b - 4811088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/58590 and 73\/3255?\nAnswer: 58590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.009 + 0.991. Which is the nearest to -1? (a) 0.4 (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.55988 tonnes in milligrams?\nAnswer: 82559880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -300?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j**5 + 207492*j**4 - 498100*j**3 - 41460*j**2 + 498080*j - 166032 = 0.\nAnswer: -10377, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -637 - 9259. Let r = -6996 - a. Round r to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**5\/30 - 13*d**2. Let p(r) = -2*r + 3. What is n(p(f))?\nAnswer: 8*f**2 - 24*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*b = p - 47, -4*p - 2*b = -38. Suppose 4*q = f - 4, -11*f = -14*f - 2*q - 2. Suppose f = -2*a + p*a - 12. Solve a*m = 3 + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 232 = 42*q - 288. Calculate the remainder when 427 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkvkkvllklvk. Give prob of sequence lvkl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 3, -2\/5, 12\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 + -31200?\nAnswer: -31330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1\/7 (b) -10\/25303 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2365*d**2 - 39*d + 11*d**5 - 2370*d**2 + 20*d**5 wrt d.\nAnswer: 620*d**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 145. Let f be p(34). Suppose -f*x + 5840 = -505. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34627 is divided by 841?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -15, -4 in descending order.\nAnswer: 74, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*s - 165*s - 31*s - 246*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 9*k**2 - 4*k + 10. What is w(-8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - v = 2 + 4, 2*l - 8 = v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3 + 2 - k + 3 - k**3 + 2*k**2. Let h be q(2). Suppose s + 92 = -0*p + 4*p, h = -4*p + 4*s + 92. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 - 3?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2 + 36\/20). What is the highest common factor of u and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8697812 to the power of 1\/2, to the nearest integer?\nAnswer: 2949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 28961 = 4*a - 28845, 57*s + 5*a = -197 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 0.3 (c) 2\/9 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-24)\/180)\/(140\/(-150)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*y + y. Suppose 2*n - 2*k - 16 = 22, 4*k = -y*n + 52. What is the greatest common divisor of n and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -4\/9*q**3 + 4\/15*q**5 - 1\/12*q**2 + 4\/9*q**6 + 0*q - 5\/8*q**4 - 16. Suppose t(m) = 0. Calculate m.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 + 6*q. Suppose -o - 4 = -16. Let y = o - 8. Calculate s(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-50))\/(12\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/7 and 143344\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/7)*s)**(-2\/3)\/(s**(-6))**(-17))**(2\/41) assuming s is positive.\nAnswer: s**(-1432\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 53.929973.\nAnswer: -57.929973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 3*a + 4*m + 160, -2*m = 4*a + 490. Let j = a - -198. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 4\/19 (c) 0.01 (d) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - k - 3. Let x be z(3). Let l be (-8)\/x*(-6)\/(-4). Let i(v) = -31*v. Let y be i(l). Solve 0 = -2*m - 2*w - 16, -2*m - y = w + 4*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*k + 282*k = 1926 + 2546 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10614853*s - 6994418?\nAnswer: -10614853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -2*z - 28. Suppose z = 2*w + 703. What is w rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/7 and 26\/485?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1270 = 5*p, -7*w - p = -2*w - 1254. Let g = -242 + w. Solve -3*q = g*q + 55 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-8\/3)*h**(-11)*(h*h**7\/h*h)\/(h*h*h**(3\/8)*h*h))**(12\/7) assuming h is positive.\nAnswer: h**(-89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - 336*w + 2708. Give z(58).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -114424 (base 5) to base 13\nAnswer: -1ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2821*k**2 + 16. Let s(j) = -7*j. Determine w(s(n)).\nAnswer: 138229*n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/5 (b) -3 (c) 5 (d) -4 (e) 2\/107 (f) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:09 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-3))\/((-3)\/30). Suppose o + 3*a = -4*o - s, -2*o - 4*a - 18 = 0. Put -4, 2, o, -8 in decreasing order.\nAnswer: 2, o, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**4 + n**2 + n - 1. Let b(w) = -36*w**4 + 12*w**2 + 12*w - 6. Let d = -68 + 56. Let a(u) = d*q(u) + b(u). What is the derivative of a(k) wrt k?\nAnswer: -96*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 3)*(1 + 0). Let q = 2794 - 2772. Solve -3*l - g + 2 = u, 3*l - l - 4*g = -q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06669623 rounded to four dps?\nAnswer: 0.0667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 930071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.286276 milligrams?\nAnswer: 5286276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + -230110?\nAnswer: -223310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 3. Let v(z) = z - 2. Suppose -2*u - 10 = 3*u. Let n be (21\/(-70)*-2)\/(1\/5). Give n*v(l) + u*q(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 161626 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33661, -33879, -34087, -34279, -34449, -34591?\n\"Answer: k**3 - k**2 - 222*k - 33439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4f (base 16) to base 13\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*x - 6, 4*d = 3*x + 5*d - 3. Let f(h) be the second derivative of x*h**2 + 0 - 7\/6*h**3 - 4*h. Let m(y) = -y. What is m(f(q))?\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -86. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - (-60)\/(-25). Let z be 4 - (u - -3)\/(3\/6). Differentiate -13*n**4 - 10*n**4 - z + 7*n**4 + 0 with respect to n.\nAnswer: -64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 41763*h**2 + 250686*h.\nAnswer: -3*h*(h - 13927)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14043*u + u**2 - 14050*u + u**2)*(u - 3*u + 4*u).\nAnswer: 4*u**3 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-79)\/(-10) + 31\/310. Let u = 0 + 6. Suppose 11*y - u*y = 0. Solve 5*a - 14 = 4*i - 2*i, 4*a - n = y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13619041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 11. Let y(r) = -r - 2. Let x(a) = 4*g(a) - 22*y(a). Let l be (27\/(-45))\/(3\/(-15)). Let q be x(l). Solve -3 + q = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 261\/5. Let j = 8 + -17. Let s = -80011 - -160023\/2. What is the second smallest value in q, s, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, -30, -2 in descending order.\nAnswer: 3, -2, -20, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = j + 2*j - 100, -j = 4*s - 45. Calculate the remainder when 47 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-189)\/(-10))\/((-10)\/(-25)). Let n = 47 - z. Which is the second biggest value? (a) -5 (b) n (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfba when four letters picked without replacement from {f: 1, b: 2, a: 1, x: 1, z: 1, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2. Calculate n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 - 7 - 4*b**2.\nAnswer: -4*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -97*f**2 - 50*f - 184. Differentiate k(c) wrt c.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*n + 24*k*n**2 + 228*n**2 wrt k.\nAnswer: 3*k**2*n + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:54 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 - -41688379.\nAnswer: 41688378.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*y - j, -71*y + 15*j - 28 = -69*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - 51\/21\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44aa + -2?\nAnswer: 44a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 2\/17, 5, 44010 in decreasing order.\nAnswer: 44010, 5, 0.4, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 4. Give v(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r - t + 20, -3*r = -3*t. Solve 20 - 8 = 5*u + 2*z, 5*u - 5 = r*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = 3*g + 127, 3*g - 452*u = -454*u - 31 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.672882*-0.4\nAnswer: -0.6691528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - t. Let v be y(1). Let u(j) = -j**3 + 3*j**2 + 3*j - 4. Let x be u(v). Suppose 65 = x*s - 35. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.073, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 64 + 2*x**3 + x**2 + x**2 - 123 + 64 to z*x + u + f*x**2 + w*x**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 156, 1, -33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*s + 2*s. Suppose -58*a = -52*a - 60. Calculate the greatest common divisor of s and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 11 = -5*q, -1 = 4*c - 4*q - 29. Suppose -c*w - 3*u + 3 = 0, -4*w = -u - u - 34. Solve -5*m = 4*n + 4, n + 16 = m + w*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 0 + 0 + (26 + 19 - 3)*(-3*l**2 - 4*l**2 + 5*l**2))*(-7*l + 6*l + 11*l).\nAnswer: -880*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let y(p) = -7*p + 0*p + 20*p + 6*p. Give y(r(w)).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 - 14*q**2 + 3*q + 21. Let v(d) = 4*d**3 + 13*d**2 - 4*d - 20. Let w(n) = 3*h(n) + 2*v(n). Let y be w(-16). Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -27, -41, -55, -69?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 1, z: 1, r: 1, y: 5}. What is prob of sequence rvyr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntud when four letters picked without replacement from {n: 4, u: 4, d: 7, t: 3}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 1525.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 47, 86, 135, 194, 263, 342?\n\"Answer: 5*t**2 + 14*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*f*s*y + 2*f*y**3 + f*y**2 + 2*s**2*y**3 - s**2 - 24*y with respect to s.\nAnswer: 67*f*y + 4*s*y**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.3522 - 5.29. What is o rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 7:40 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 476 + 4?\nAnswer: 47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p + 4. Let b be a(4). What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 605*g**4\/2 + 3*g**2\/2 + 287*g - 580. Find the second derivative of h(d) wrt d.\nAnswer: 7260*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -71, -74, -93, -134, -203?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - 1. Let q = 17 + t. Let f = q - 12. Sort 0, f, 2.\nAnswer: f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - 2 - -9) - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1994 + 1.2. What is c rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179139 times 2\nAnswer: -358278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1882 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69182, -69186, -69192, -69200, -69210, -69222?\n\"Answer: -j**2 - j - 69180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = s + 391, -5*c + 0*s = 2*s - 505. Suppose -4*k - c = -2*l + 11, 4*l = -4. Let x = -22 - k. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/208 and -103\/4880.\nAnswer: 63440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259866, 259862, 259858, 259854?\nAnswer: 259850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-2) + (-3 - -2). Let y be (t - 1)*(-2)\/(-4). Let i = y + 7. Solve w + 2*w - 3 = i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15228132.4 to the nearest ten thousand.\nAnswer: -15230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 25. Let d = 124 - 75. Calculate the remainder when d is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12105.3 + -75916.34.\nAnswer: -88021.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32.98 and 0.2?\nAnswer: 32.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*q, 251133*l - 26 = 251134*l + 15*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2595 and 6?\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3574567 and 2418.\nAnswer: -3572149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -79566 and 128.\nAnswer: -79438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*n**2*w**3*z - 2*n**2*w**2 - 10*n**2*w + 133*n**2*z + 3*n*w*z + 57*n + 2*w**3 wrt z.\nAnswer: 6*n**2*w**3 + 133*n**2 + 3*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 2*f**3 - 2*f**3 - f**4 + f**4 + f**4 + (-5 + 1 + 2)*(4 + 2*f**4 - 4) + (-1 + 1 + f)*(162*f - 162*f - 11*f**3).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 - 39*h**2 + 3192*h + 28976. Determine m(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10941*d - 3654*d - 3650*d - 3645*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28635563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + t = 10, a + 2*t - 9 = -1. Differentiate -18*b - a*b - 27*b + 33 + 17*b with respect to b.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbqbbbbbq. What is prob of sequence qqbq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -782, -2845, -6202, -10859, -16822, -24097, -32690, -42607?\nAnswer: -53854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - -0.22. Let d = -0.7 - -0.7. Let r be ((-3)\/(-4))\/(-1 - 0). What is the nearest to d in 0.5, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/16016*-11*(-1)\/(-15).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141 a multiple of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4514482\/13 greater than -347267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50682*k - 25332*k + 5 - 25349*k + 55*k**3 + 2*k**2 + (4*k - k - 2*k)*(-2*k**2 + 0*k**2 + 4*k**2) to r*k**2 + x*k**3 + g + p*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = n - 1, -10*u + 4*n - 33 - 40 = 5*u - 12*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3716728369 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 8. Suppose s - r = -3*s + 29, 2*s = -r + 19. Let z be k(s). Solve 5*j + 8 + 2 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 12:32 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7535177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/11 - 69\/(-253). Let s = -1.99 - 0.01. What is the nearest to i in s, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, s: 2, b: 5, l: 1, z: 4, u: 1}. What is prob of sequence bqbz?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13983533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(3\/(-54)*-30)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005727 divided by -7601?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 133765794*y**2 + 133765790*y - 4.\nAnswer: 2*(y + 1)*(66882897*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/2, 0.4, 2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*p = -5*p - 1745065, 0 = 2*a + 3*p - 872549. Let w = 6540812\/15 - a. Let b = w + 216. What is the nearest to -2 in 4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from rqrjrkxrkqxxgrrxx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 798881325 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14\/5)*g**(1\/4)*g**(-5\/3)*g**18\/g)**(-3\/32) assuming g is positive.\nAnswer: g**(-767\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(48)*-2 + -2 + -4 + -5*sqrt(24)\/(sqrt(40)\/sqrt(5)).\nAnswer: -13*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 22, 21, 20, 19, 18?\n\"Answer: -p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 1177.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*h = -73*h - 190. Let r(u) = 22*u + 1. Let l be r(-1). Calculate the remainder when h is divided by 3 + -1 + 0 - l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 31122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/238 and -95\/5984?\nAnswer: 41888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:20 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + 5*i + 1. Let z(q) = -14*q**2 + 15*q + 3. Let r(m) = -17*k(m) + 6*z(m). Let a be -5*(-1 + 2)*-1. What are the prime factors of r(a)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.57314 micrograms in grams?\nAnswer: 0.00001857314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 206*t**2 + 4*t - 7. What is the hundreds digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333 + 1908*r - 148 - 185)*(6 - 4*r - 6).\nAnswer: -7632*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7059 + -4.4059. Let a = 0.3 - 0.7. Sort a, -20, -0.9, c.\nAnswer: -20, -0.9, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172 - -244. Let v = -87.245 + -0.255. Let f = z + v. Round f to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 10 = 4*p, -5*p - 2 = -34*h + 31*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 22*t - 5. Let g be f(3). Let r = g - -63. Let x = r + 15. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1492254 micrograms?\nAnswer: 0.0001492254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-101.\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/9 - 20*d**4\/9 + 76*d**3\/9 - 136*d**2\/9 + 38*d\/3 - 4 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7928 + 7929.5. Which is the third smallest value? (a) g (b) -6\/11 (c) 14 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814597 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1)\/((-1)\/6). Suppose -j - 4 + u = 0. Suppose -7 = -5*y + j. Solve -d + 8 = y*x - 5, 3*x + 5*d - 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244367 - -2?\nAnswer: -244365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 57*a**2 - 598*a + 267. Calculate g(66).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:22 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -351816*o + 5. Let i(g) = -3*g. Determine f(i(l)).\nAnswer: 1055448*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3512 divide 130228200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -430*a*c**2 + 218*c**2 - 2*c wrt a?\nAnswer: -430*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 9*v - 180. Suppose -v*w + 2*w + 3582 = 0. List the prime factors of w.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198 less than 13952?\nAnswer: 15150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -839.195133 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**2 + 9*r + 213. Let l(u) = 7*u**2 - 8*u - 178. Determine 5*i(w) + 6*l(w).\nAnswer: 2*w**2 - 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let j = p - 6. Let a = 3514 + -3515. Put j, 0.1, a in decreasing order.\nAnswer: 0.1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1194*z**3 - 1196*z**3 + 3*z**2 + z**4 - 2*z + 2*z + 2 to s + p*z**3 + t*z**4 + b*z + m*z**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215359626 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3372793593 - -157.9.\nAnswer: 3372793750.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537556388, 537556383, 537556376, 537556367, 537556356?\nAnswer: 537556343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6388\/5 + 1277. Let n(g) = g + 1. Let s be n(-4). What is the closest to 0.19 in s, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -30, -61, -110, -183, -286, -425?\n\"Answer: -z**3 - 12*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 6. Let a(i) = -s*i + i - 3*i + i. Let h(k) = -7*k**2. Let g(c) = -10*c**2. Let y(m) = 5*g(m) - 7*h(m). What is y(a(u))?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.5257 minus 747854463?\nAnswer: -747854490.5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*x + 1, -3*f + 6*x = x + 9. Let t(w) = 6*w**3 + 6*w - 3*w**3 - 2*w**3 + 4*w**2 + 4 + 7*w**f. Is t(-9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5786075, -11572158, -17358245, -23144336, -28930431, -34716530?\nAnswer: -40502633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34168066 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 6. Solve -2*u - d = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 46*a**3 - 52*a**3 + 93*a**3 - 22 as m + w*a + d*a**2 + o*a**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/12 - 157\/84. What is the closest to 0 in 0.09, -0.5, d?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1514 (base 6) to base 13.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - 48*p**2 - 136*p**2 to m*p**2 + f*p + s and give m.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3247517 is divided by 1401?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25877 is divided by 242.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 44*z - 36 = 47*z, 4*c - z = 10*z - 92 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -245 + o + 245 + 9 + o - 9 + o + 0*o + o + 3*o - 2*o + o + (-2 + 4 + 0)*(-o + o + 2*o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4901, 5044, 5151, 5204, 5185, 5076, 4859, 4516?\n\"Answer: -3*z**3 + 164*z + 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.9356924 and -29.8306.\nAnswer: -41.7662924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3 - 1 + 5 - 5 + (2 + 1 - 4)*(1 - 2 + 2) - 1 - 3 + 0)*(-5*l**2 + 5*l**2 + 2*l**3).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/120 + p**5\/10 - p**4\/4 - p**3\/6 + 35*p**2. Let r be 10\/(-8)*-4*1. Calculate o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8526*g**4 + g**3 + 2*g**2 + 19*g - 357.\nAnswer: 102312*g**2 + 6*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 + 8*h**4 + 4*h**3.\nAnswer: 4*h**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 - -194. Which is smaller: l or -65\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118454 is divided by 1453?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2075? (a) 0.5 (b) 2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 88*j**2 - 2553*j + 7. Determine w(111).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**4 + 2*m**3 - 4*m. Let b = 44 - 48. Let o(w) = -2*w**4 + 2*w**3 - w**2 - 5*w. Let v(f) = b*o(f) + 5*g(f). Factor v(r).\nAnswer: -2*r**2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22373721 + -22373720.0699931. Let z = j - 0.93. What is z rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 19*w**2 + 4*w - 9. Calculate y(19).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120202748.\nAnswer: 2, 31, 969377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -166.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/99 and 58\/15363.\nAnswer: 168993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3429 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4708 divided by 5.\nAnswer: -4708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-5)*n*n)\/n)**(-3\/46)*(n\/(n**(-9)\/n))**43 assuming n is positive.\nAnswer: n**(21767\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107999491, -215998989, -323998487, -431997985, -539997483?\n\"Answer: -107999498*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.2 - -28. Let m = o - 6. Put 0, m, 4\/7 in decreasing order.\nAnswer: 4\/7, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 196*m**2 - 5*m**3 - 197*m**2 + 5*m**3 - 11 - m**3 in the form i*m + b + d*m**2 + l*m**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bppb when four letters picked without replacement from bbbbpbpppp.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -26620, -13 in ascending order.\nAnswer: -26620, -13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 3*g + 17*c, 20*g + 5*c = -14*g + 39*g + 65 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m + 2856. What is the tens digit of l(70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*f - 83, -2*g - 106 - 86 = -154 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45196090?\nAnswer: 2, 5, 1847, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 7. Let g be ((-2)\/4 - (-21)\/42) + -1. Let f(r) = 2. Let j(x) = g*y(x) - 3*f(x). Let l(s) = s**2 - s - 1. Let u be l(0). Give j(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*z**3 + 14*z - 5*z**2 - z**2 + 58*z**3 as f + i*z**2 + r*z**3 + g*z and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 36*u**2 - 80*u + 82. Determine k(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 2, 9, 0, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 34*n. Let d(i) = -i**2 + 15*i + n - 9*i - 2. Determine d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/7, -0.1, -3\/4, 5 in descending order.\nAnswer: 6, 5, -0.1, -1\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 9394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2900\/(-560) - (-10)\/(-8) - 6\/(-14). Is v greater than 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-622)\/(-6))\/(8 - (-253)\/(-33)) is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z**5 + 112*z**4 + 1946*z**3\/3 + 1164*z**2 + 576*z + 256\/3 = 0.\nAnswer: -8, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b120 (base 15) to base 13.\nAnswer: 681b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-853)\/18766)\/((-4)\/(-96))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {s: 1, x: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000952984896 rounded to 7 decimal places?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((85\/4)\/(-17))\/((-2)\/(-6))*2664\/(-17982)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000186059 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/835114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8074 to 1 dp.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178798 - 46487403\/260. Let f = -3\/65 + i. Find w such that f*w**4 - 1\/4*w**2 + 1\/4*w**3 + 0*w + 0 - 1\/4*w**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4594901 is divided by 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 360499534 a multiple of 7034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.466206259 - 1.466201159. Let u = 71 - k. What is u rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b + 1010 = 56*b. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 41896 = 9894. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y. Let r be y + (-2 + 5)\/(-3). Let q = -0.357 + -0.143. Which is the nearest to r? (a) q (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -4*g**4 - 4*g**3 - 3*g + 44. Find the third derivative of h(w) wrt w.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24121660062 rounded to 5 decimal places?\nAnswer: 0.24122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddppdpd. Give prob of picking 2 d.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24\/5*6\/(-8)*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 10*x**2 - 15*x + 21. Give l(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: bca2 (base 13) to base 2\nAnswer: 110011011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8586*-1.\nAnswer: -8586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506*((-852)\/(-16) + (-135)\/(-60)).\nAnswer: 3, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2116 - 2115.9. What is the second biggest value in -66, k, 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35984)\/104*188\/(-8). What is the highest common factor of p and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**3 - 4*h**2 + 4*h - 1. List the prime factors of s(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732542.\nAnswer: 2, 47, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 490, 937, 1626, 2635?\nAnswer: 4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 454, 457, 460, 463, 466?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5216 - -5216.156128. Round s to three dps.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 = -11. Suppose 2*i - k*f = 86, 234 = 5*i - 3*f - 0*f. Let w = i - 28. What is the greatest common factor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 175*q - 203. Let w be d(11). What is the highest common divisor of 42 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2.47 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2383 (base 9) to base 14.\nAnswer: 90c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 1. Let x(o) = o**3 + 14*o**2 + 3*o - 3. Let s(r) = -6*d(r) + x(r). Let c be (-2)\/(-6) + 44\/(-6). Is s(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b - 20. Suppose 8*j - 2807 = 4393. Let i(c) = -904 - j + 1808 + c. Give i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 8) in base 12?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:40 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024293141 to 4 decimal places.\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2222*f**4*p**3 - 2*f**3*p**2 - 422*p**3 wrt f?\nAnswer: -8888*f**3*p**3 - 6*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 13. Let c be -1*(-2 - 15\/(-3)). Is x\/((3\/1)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.57 * -7\nAnswer: -17.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + r - 4*r**2 + 0*r**2 + 6*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(4 + (-136965)\/36). Let f = o + 3808. Let t = -2\/253 - -5843\/3036. Find the common denominator of t and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*i - 5*k - 41 = -151*i, -i = 5*k - 47. Solve -60*c + 38 = -i*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*q, -q + 3 = -3*g + g. Suppose -5*o = 4*h - 54, -h + 5 = o - 6*h. Let k be ((-9)\/(-6))\/((-85)\/o). Is q less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3*z**3 - 9*z - 9*z + 0*z + 14*z to f*z + o*z**2 + d*z**3 + j and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u**2 + 9*u + 6 - 8*u**2 + 17*u**2. Suppose 4*r - r = 36. Let p be 13\/(-2) + 6\/r + 0. Determine z(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) 2\/11 (c) -6.1 (d) -0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 1257830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsyyqqqxqyxlygqq. Give prob of picking 2 y, 1 x, and 1 g.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 137.29 (b) -0.15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115773.00018 - 115775. Let n = 2 + h. What is n rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/16)*g*g*(g\/(g*g*g**(-14)*g))\/g*g)**35)**(-1\/16))**(-27) assuming g is positive.\nAnswer: g**(212625\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:18 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 43 = 4*r - 1, 0 = r + 3*g - 1. Let i = -41 + 35. Calculate the remainder when (8\/10)\/(i\/(-240)) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-40)\/16*-15*(-14)\/(-35)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 15*j**3 - 103 - 54 + 77 - 35*j**3.\nAnswer: -50*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -630, -1258, -1886?\n\"Answer: -628*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 4*t - 6. Let w(r) = -4*r**3 + 11*r**2 + 11*r + 17. Let b(g) = 4*w(g) + 11*x(g). What is the derivative of b(m) wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:43 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.7 + -58.58. Let t = 8.88 + x. Sort -0.26, 1, t, 0.3 in ascending order.\nAnswer: t, -0.26, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 3095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -198500, -396850, -595064, -793148, -991108, -1188950?\n\"Answer: -b**3 + 74*b**2 - 198565*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -0.0484403.\nAnswer: 7.9515597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-30)\/4))\/((-114)\/106014585) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 318 - 333. What is the tens digit of ((-28)\/(-3) + -1)*(-18)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6003 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 10:36 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -200 + 3\/5*y**5 - 12*y + 3*y**3 - 3*y**4 + 6*y**2. Find b, given that a(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 3*c - 2. Let l be f(-4). Suppose 2*m - 4 = l. Suppose 14 - 8 = 3*i. What is the greatest common factor of i and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d - 4. Suppose -20*g = 27 - 27. Let p be l(g). Which is the closest to -1\/3? (a) p (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 25*j**3 - j - 1. Let k be r(-1). Let i be 109\/5 + (-5)\/k. What is the greatest common divisor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.17, -0.3 in increasing order.\nAnswer: -0.3, -0.17, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1555729, -3111461, -4667193, -6222925, -7778657?\n\"Answer: -1555732*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/160)\/(3\/255). Solve -i + 10 = -2*q, -5*q - 2*i - s = -9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 1. Let y be q(-2). Let v be (-214)\/(-6) - -1 - -1. Let g = v - 38. Which is the closest to -1? (a) g (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y**2. Let h(l) be the second derivative of 7*l**4\/4 - 2*l. Let z(d) = 6*h(d) + 11*q(d). Let u(k) = k**2. Calculate u(z(g)).\nAnswer: 25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 8*b + 13\/30*b**6 + 3\/4*b**4 + 0*b**5 + 0*b**3 + 0 + 0*b**2. Find the third derivative of p(f) wrt f.\nAnswer: 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -73*o**7\/42 + 5*o**4 + 94*o + 115. Let f(g) be the first derivative of q(g). Find the third derivative of f(a) wrt a.\nAnswer: -4380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -133, -135, -153, -193, -261?\n\"Answer: -c**3 - 2*c**2 + 11*c - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2530304 and 7060.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 222 = -w - 156 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 16*k**2 - 21*k - 79. Determine z(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1996585*m**5 + 36846*m**2 + 4*m + 6 wrt m.\nAnswer: 119795100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose -3 = 3*b + 3*f, 0 = b - k*b + f + 5. Solve -b*i = -3*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 6*n + 29. Let c be b(11). Let k be 20\/6 - (-56)\/c. Solve 3*i + 6 = i + 4*o, 8 = -k*i + 4*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**6\/120 - h**5\/20 - h**4\/12 - h**3\/6 + 5*h**2\/2 - 20. Let p(u) be the second derivative of c(u). What is p(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 7*v**2 + 5*v + 3. Let k be t(-6). Suppose -50*g = -66*g + 256. Which is bigger: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 1, b: 3, u: 2}. Give prob of picking 1 d and 2 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:04 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wppwpw. Give prob of sequence ppw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*v - 127*x + 86 = -134*x, 2*v - 4*x = -28 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 41*n**3 + 9*n**2 - 28*n - 9. Let p(i) = 10*i**3 + 2*i**2 - 7*i - 2. Calculate -9*p(t) + 2*s(t).\nAnswer: -8*t**3 + 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 2*v + 0*v**3 + 0 - 1\/4*v**4 + 0*v**2. Let f(q) = 85 - 2*q**2 - 85. What is d(f(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26432*z - 13216*z - 13213*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 8*h - 6. Let o(k) = -3*k**2 + 23*k + 18. Let l(a) = -8*m(a) - 3*o(a). Let p be l(6). Solve p = 2*q - 10, 3*q + 7 = 3*f + 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 21 = -28*r. Solve 3*j + 1 = r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 - -1406. Suppose 13*o + 3*o = 64. Suppose o*j + a = 5*c, 2*c - 377 = -2*j + 231. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9420 and 30452976.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/204428 and 15\/22946.\nAnswer: 2248708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5\/9 - 41090*o**4\/9 + 211438534*o**3\/9 - 4006778182*o**2\/9 + 7305230768*o\/3 - 4119540832 = 0.\nAnswer: 4, 11, 10263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*c + 3934 = 17*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 119068441\/(-79376750) + 5\/2 + -1. Is -1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*c - 3*c. What is the second derivative of 4*y**5 - 5*y + y**5 - 2*y**c + 0*y**5 wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18840089 + 39186089. Round m to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -10. Is 4*(-788)\/h - (-1 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-14)*-1*1\/(-2). Let y = -0.01 + -1.99. Are y and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, -38, -9, 168, 571, 1278?\n\"Answer: 13*x**3 - 43*x**2 - 3*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6522.6156 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4338 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554 (base 6) to base 4.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 - 4 = 0. Suppose u*q - 47 = 3*q - 3*d, 0 = -4*q + 5*d + 149. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-56) - 7\/49.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.21 (b) -0.05 (c) -3 (d) -0.1 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*z - 1 - 7*z**2 + 74*z + 5*z**2 - 5*z**2 to c*z + h*z**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7792, -7789, -7784, -7777, -7768?\n\"Answer: c**2 - 7793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 871.\nAnswer: 29\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 17*t - 9. Let l(o) = 3*o**2 - 279*o + 1076. Let x be l(4). Determine k(x).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 112*r + 272 - 80 = 0. What is the remainder when 348 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49.7 - 47. Let f = j + 0.3. Let z = 1064\/4707 - 2\/523. Which is the second smallest value? (a) -0.3 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3930 divide 45021655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113.4851 - -1.0251. Let w = -1.54 + t. Let c = w - -113.9999939. Round c to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2554748 equal to -28102220\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by -7.\nAnswer: -111\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 14.68, -0.5, -4, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5723, -5738, -5775, -5846, -5963, -6138, -6383, -6710?\n\"Answer: -2*h**3 + h**2 - 4*h - 5718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdjddddodojfrjfdoff. What is prob of sequence jfd?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 617026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16478104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.31 + 0.31. Let h = -0.73 - -0.33. Which is the fourth biggest value? (a) h (b) -5 (c) 1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 206, 463, 822, 1283, 1846, 2511?\n\"Answer: 51*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3407608 by 1703804.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/4, -6, 103?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 = 5*m, -5*m = 2*g - 18 + 1. Suppose -4*x + 26 = 3*l - 6*x, l = -4*x + 18. Let f be l\/15 + 10\/m. Solve i = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(sqrt(192) - (sqrt(192) + sqrt(192)*-2*4) - sqrt(192))\/(sqrt(12)\/((sqrt(144)\/sqrt(4))\/sqrt(12))) + 4)**2.\nAnswer: 1344*sqrt(3) + 84688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209837 minus 0.4?\nAnswer: 4209836.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22448 and 22816.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 + 2150 = 14*d. Let s = -175 + d. Calculate the remainder when 572 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/4 + 25*w**3\/4 - 22*w**2 + 21*w = 0. Calculate w.\nAnswer: 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179809 is divided by 3908.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-2)\/(-5)*10*(-4)\/160.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 3. Let h be z(0). Let t = 1 + h. Suppose 4*y + 8 = 2*y. Sort 3, t, y in descending order.\nAnswer: 3, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 51 - (1 + -17)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 202*h**2 - 4203*h + 88. Determine y(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*c**4 - 9*c**4 + 6*c**2 - 15*c**4 wrt c.\nAnswer: 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 350. What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, -520, -19 in ascending order.\nAnswer: -520, -19, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:13 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) -18 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 12. What is the remainder when 53 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 550 = -522. Sort 2, 1, u, -1 in descending order.\nAnswer: u, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*l + k + 1299, -3*l + 4*k = 791. Let u = l - -818. What are the prime factors of u?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88250379 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = -5*n + 17, -w + 4*n + 20 = 0. Let q = -6 + 3. Let v = q - -5. Solve 33 = -2*m - w*x + 3*x, 2*x - v = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2 - 11. Let h = b - 3. Suppose h = -i + 16 - 0. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 66, -1, 4, 3, -272.\nAnswer: -272, -1, 3, 4, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2629 divide 131505209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34471201 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 104 - 11 = -m, -4*m = 3*d + 49 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - 4)\/5 - (-608)\/88\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 295*t - 19644. What is f(-56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 1. Let d(n) = -n**3 - 2*n**2 - n + 1. Let g be d(s). Suppose 3*h - g*y = 2091, 0*y + 6 = 2*y. Round h to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 28.78. Let x = v + 0.19. Put x, -1, 3 in ascending order.\nAnswer: -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 220 + 0*y**2 + 0*y - 24\/5*y**5 + 1\/3*y**6 - 1\/2*y**4 + 8*y**3. Let h(w) = 0. What is w?\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/((u**(20\/7)\/u*u)\/u))\/u*u)*u*(u*(u\/(u*u**(-2\/5)\/u*u*u))\/u)\/u*u)\/(u**(21\/4)*u**(6\/13)) assuming u is positive.\nAnswer: u**(-8107\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -46520, 1.\nAnswer: -46520, 1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 210308, 4, -1.51, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7648432*d**6 - 692*d**2 + 5229 wrt d.\nAnswer: -917811840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(88) - (sqrt(88) + -3*sqrt(88) + sqrt(88)))*-1)\/(sqrt(8) + (sqrt(8) - ((sqrt(64)\/(-2*sqrt(8) + sqrt(8)) - sqrt(8)) + sqrt(8)))))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6100548 and 140442?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 627\/4 + -156. Let k(w) be the first derivative of -1 + 7\/2*w**2 + 2*w + z*w**4 + 8\/3*w**3. Find g such that k(g) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.2. Let p = 0.3 - i. Let g = p - 0.2000024. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 123*f = 0. Calculate f.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*j + 19 = 0, -3*j - 10 = -t - 0*t. Let x be (0 + -2 + t)*4. Let u(k) = -3*k + 4. Let r be u(x). What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4192100188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 108, 221, 336, 453, 572?\n\"Answer: p**2 + 110*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -616? (a) 4 (b) 7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-28))\/((-13)\/182*-76)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, o: 4}. What is prob of picking 2 l?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Let x = 0.32559 + 15.67441. Put x, 0.3, 2\/7, j in increasing order.\nAnswer: 2\/7, 0.3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243646 is divided by 376.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*g + 10 = 0, -g + 13 = 6*f - f. What is the fourth biggest value in f, -2\/11, 2\/45, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -18, 34, 124, 252, 418, 622?\n\"Answer: 19*i**2 - 43*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 591\/147539?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1072 - -1098. Solve -3*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 31 + 6*z**2 - 29 + 89 - 12*z - 41. Let x be l(-8). Let d = 102 + x. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*u + 2 = -5, -5*l + u - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:27 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 1. Let k(t) = 3*t**2 - t - 1. Let g(r) = 5*a(r) - 3*k(r). What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)\/(w**2\/w*w) assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -302 and -1.72?\nAnswer: 519.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (532 - 26)\/(-22) - -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1)*(1272*h + 1151*h - 133*h) + (-3 - 1 + 5)*(h + 0*h - 2*h) to the form g + r*h and give r.\nAnswer: 4579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 51. Let v = d - -4. Are 23 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 625*s**4 - 1375*s**3 + 1050*s**2 - 335*s + 35. Let p(c) = -1 - 32*c + 31*c + 2. Let j(x) = -5*p(x) - v(x). Find l, given that j(l) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = 4*z. What is the units digit of (z + 1 - 2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21712 + 978*o - 10856 - 10856 + (-2 + o + 2)*(-2 - 2 + 5).\nAnswer: 979*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36\/7 + -38\/7. Suppose -b - 4*y + 15 = 2*b, -4*y + 14 = 2*b. What is the closest to -0.1 in v, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 239 = -739. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10158 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6055287 divided by -7\nAnswer: 865041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -13. Let s be ((-1)\/1*1)\/((-6)\/l). Solve 3*n - 3 = 0, 5*t + s = -3*n - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(42)\/(sqrt(6) - -1*sqrt(6)) - (sqrt(7) - (sqrt(7) - sqrt(28)\/sqrt(4))**2*6)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + (-21)\/12. Let o be -1 + -9*(-12)\/99. What is the closest to g in -5, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.294 and -228844327151.\nAnswer: -228844327151.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/9 and (-21)\/14*(272\/(-12) + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1, 93, 2\/7, -5 in decreasing order.\nAnswer: 93, 1, 2\/7, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 286 = 256. Let d(n) be the third derivative of 0*n**7 - 7*n**2 + 0*n**4 + 0*n**s + 0*n**3 + 0 + 0*n + 0*n**5 - 1\/2016*n**8. Solve d(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*j + 2*j**3 + 46*j - 23*j - 26*j**2 - 40*j**4 + 38*j**4 in the form u*j**4 + k*j**2 + s + t*j + h*j**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**6 - 1184810*l**4 - l**2 + 3*l + 65333431 wrt l.\nAnswer: -480*l**3 - 28435440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -116?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + -1 + sqrt(208) - ((sqrt(208) - (sqrt(208) - -2*sqrt(208)))*1 + sqrt(208)) - ((sqrt(208) - (-2*sqrt(208) + 0)) + 1))**2.\nAnswer: -16*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 26*h = -503. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r + 13. Let h = 0 - -3. Let y = -3 + h. Let s be m(y). What is the greatest common divisor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11820962 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*j + 4788 = -56*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/((-32)\/(-394)) + (-1)\/4 is divided by ((-1)\/(-1))\/((-2)\/(-34)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(18)\/sqrt(2)))**2 - (sqrt(19) - (sqrt(2299) + 1)**2 - sqrt(19)) - (sqrt(114) + 4*(sqrt(114) - sqrt(114)*1))\/sqrt(6).\nAnswer: 21*sqrt(19) + 2319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 m when three letters picked without replacement from {u: 2, d: 1, w: 2, a: 1, m: 1, n: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v - 1 - 10*v + 2*v**2 + 24*v. Let u be 8\/(-6)*(-3)\/2. What is n(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*2)*-6)\/(sqrt(10)*-1*6))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*m*q**2 + 98*m - q**2 - 12*q - 18 wrt m?\nAnswer: -4*q**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 2, 4, -19 in increasing order.\nAnswer: -19, -16, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90153977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -77, -119, -163?\n\"Answer: -k**2 - 37*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 669759019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 265 = y, 5*y + 0*g + 8*g - 1371 = 0. What is the remainder when y is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u - 8. Let h be g(2). Solve h*m + 8 = 12*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444732 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*p**4 + 2400\/7*p - 96\/7*p**3 + 1250\/7 + 1052\/7*p**2.\nAnswer: 2*(p - 25)**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 104. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i - 6. Let q = -736\/5 + 148. Which is the third smallest value? (a) 3\/4 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19420528403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 90 + 105 = 0, 6*i + 7 = 3*i - 5*n. Let o(p) = 2*p**2 - 2*p - 3. Let f be o(3). Solve f*x = i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 387 - 378. Suppose -4*u + 3*p = -28216, -7*u - 14130 = -s*u - 4*p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2015873 to three decimal places.\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a**3 - 459715*a**2 + 223779*a - 317 wrt a?\nAnswer: 126*a - 919430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 4*d + 4*d + (d**2 + d**3 - d**2)*(0 - 2 + 0) - 2*d**3 + d**3 + 7*d**3 as l*d**3 + h*d**2 + y*d + c and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771935 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-22) + 570\/110. Put 1, -5, u in decreasing order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibi when three letters picked without replacement from jpqiqciiqiiipbppibci.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 10244890900 to the nearest 1000000.\nAnswer: 10245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.53 + -0.03. Suppose 0 = 4*y - 3*y - 1. Which is the closest to -1? (a) w (b) y (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*-1)\/sqrt(3) + 3 + sqrt(6)\/sqrt(3) + -5)**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3\/9 - 416*l**2\/3 + 43264*l\/3 - 4499456\/9 = 0. What is l?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/5*2\/6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 286 = 3*b, b - 107 = -0*b + 3*z. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1. Let n(a) = a**2 - 2*a + 6. Let b(i) = -11*i + 10. Let c be b(1). What is c*n(v) + 6*k(v)?\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -j + 1123, -5*z + 0*j + 1403 = j. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105184 - -8561.574.\nAnswer: 113745.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-14)\/(-4))*-8. Is q\/(-12) + (-752)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -42. Let f = 17.3 - y. What is the nearest to -3 in 0, 4, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1431, 1503, 1697, 2073, 2691, 3611, 4893?\nAnswer: 6597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*o. Suppose -o*y + 49 = -107. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - w**3 - 10 + 2*w**3 + 2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002718 to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*g - 2*c - 3, 5*g + 19 = 4*c. Let j be (g + 0 + 3)\/1. Let w be (-8)\/(-18)*(1 + -4). Which is bigger: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 7 - (1 + 1 + -1). Let g be (25\/(-20))\/(b - 686\/(-344)). Let z = -147 + g. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.20173 to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 152, 154, 156, 158?\n\"Answer: 2*g + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11490 times -59.9?\nAnswer: -688251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1095\/10633?\nAnswer: 1095\/10633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000577188 to five dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/(4\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**3*i**2 - 6*h**3 - 3*h + 3*i**2 + 14 wrt h.\nAnswer: 12*h**2*i**2 - 18*h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6569, 6570, 6571, 6572?\n\"Answer: a + 6568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19985 and 0.4.\nAnswer: 7994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaae when four letters picked without replacement from aaeeeeaaeaaea?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 306*q - 77*q + 209*q in the form d*q + x and give d.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-20) - 134849\/(-130). Suppose 3*l - r = -5*s + 183, -4*s + 976 = 2*l. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:42 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 84, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 30 (b) -20 (c) -0.4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134970 rounded to the nearest 1000?\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*q + 5*q. Let y = q + 26. List the prime factors of 1302\/y - 4\/22.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 118c - 14ccb?\nAnswer: -13b3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 0. Let k = i + 13.7. Let f = 13.0000112 - k. Round f to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 417, 479, 649, 981, 1529, 2347?\n\"Answer: 9*c**3 - c + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 1, -0.3, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1759.92 - -1760. Which is the closest to 0.4? (a) 3 (b) -2\/9 (c) o (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 9880981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1680171076.99999868 - 1680171008. Let t = s + -69. What is t rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233\/3*f**2 + 1\/3*f**3 + 12971\/3*f + 70805\/3 = 0.\nAnswer: -5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20103696?\nAnswer: 2, 3, 139609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19890\/37 + 9309667\/17316. What is the common denominator of 17\/260 and q?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**3 - 1\/12*y**4 - 2*y + 0 + 0*y**2. Let b(x) be the second derivative of -x**4\/3 + x. What is s(b(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - 11\/(15433\/(-49151))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 - 0 - -7. Suppose -6 = -4*x + 2*c, 2*x = -c + a + 5. Suppose x = b + 3. Are 1 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1175.3 + -10.4.\nAnswer: 1164.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1277, 4942, 11049, 19598?\nAnswer: 30589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 3, v: 3, a: 1, n: 6, x: 2}. Give prob of picking 2 x and 1 i.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (58\/3)\/((-14)\/(-3129)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33959 is divided by 5657?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-7)\/(-70) + 0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.3, -2, 6883?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5630.19999946107 + -5630.2. Round v to seven 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 -2278*s**5 + 7*s**2 - 70?\nAnswer: -136680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4829593 millennia in years?\nAnswer: 482.9593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50255 and 37559.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8)**(2\/19)\/(y**(-2\/25)*y**(-9)) assuming y is positive.\nAnswer: y**(4713\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(60\/(72\/(-12))))\/(2\/55)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2353\/9 + 2356\/9. Put 0.03, -1\/2, 0, t, 3\/14 in decreasing order.\nAnswer: t, 3\/14, 0.03, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -19*t - 95. Let j(n) = -11*n - 57. Let b(m) = 3*d(m) - 5*j(m). Suppose -5 = -3*p + 7. Let z(i) = 0*i - p*i - 5*i. Give z(b(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 + 21*p**2 + 6*p**2 + 11*p**2 - 49*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*t = -91. Find the first derivative of t + 7 + 43*g - 41*g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - 6*t)*(2000 - 40*t - 2018 + 13*t).\nAnswer: 162*t**2 + 108*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - y - 46. Give d(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**5 - 141*c**4 + c**3 + 7304*c**2 wrt c?\nAnswer: 300*c**2 - 3384*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/6)*j)**30 assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.7 + -18. Let z = -2.3 - w. Let v = 0.8 + 2.2. What is the smallest value in z, v, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 0.13?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + (-21)\/(-14). Suppose y + k*y - 2 = -t, 0 = y. Is t*(65\/(-2))\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from uxuuuxxuuux.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6652 - 6281. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1670 - -9532.\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0394 - -1.0394. Which is the biggest value? (a) -8 (b) 0.05 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85\/4 - -177\/20. Let k = 19\/2082 - -1656037\/135330. Let u = k + l. What is the nearest to -1\/3 in 5, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5 = -4*x - 6, -5*x - 20 = 5*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36193.\nAnswer: 17, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*12\/(-54) - 889\/(-1905)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let b be o*(48\/9 + -5). Suppose b*d = 2*d - 168. Calculate the highest common factor of d and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2737.4 - 2393.4. What is the second biggest value in 0.5, -2, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*i - 8 = 0, d = -3*d - 2*i + 26. Let b be 3\/5 - ((-541008)\/195)\/51. What is the greatest common divisor of d and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayp when three letters picked without replacement from aaaaapaaaapyaaap?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 129069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1303101233131 + 3?\nAnswer: -1303101233123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -148 and -11.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24452 = -316*r + 5492 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4490*o**3 + 355*o**2 + o - 9059614 wrt o.\nAnswer: 13470*o**2 + 710*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, -0.01, 4\/7, 17, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388067440 is divided by 15207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7771 + -7766. Suppose -4*k + 5 = -7. Let h(w) = k*w - 10*w + w**2 + 2 + 1. Calculate h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3848860730 to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j**(-7)*(j*j**1)\/j*j**(-6))**30)**(14\/5) assuming j is positive.\nAnswer: j**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 3*t**2 + 40*t**2 - 41*t**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419109957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -90*((-32)\/40 + 294\/(-45)). Suppose t = 25*x - 19*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112713 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Suppose -g*h = -13 + 3. What is the remainder when 6 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*s + 8 = 2*x, -4*x + 10 = 3*s. Suppose -x*q + 12 = -8*q, -2*y + 319 = -3*q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 15*i + 30. Let v = 66 + -66. Suppose -8*m + 5*m + 39 = v. Let b be a(m). Solve 2*k + 3*u - 7 = 0, -b = -k - 4*u - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291839585.\nAnswer: 5, 7, 43, 251, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 3026199.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 3580830*t**2 + 641117174445*t.\nAnswer: 5*t*(t + 358083)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 26. Calculate the smallest common multiple of 29 and g.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 298 = -l, 4*l + 612 - 104 = -5*b. Let x = -17 - b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/6 + 8*f**3\/9 + 5*f**2\/3 + 4*f\/3 - 5. Factor x(q).\nAnswer: 2*(q + 1)**2*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11113341 (base 6) to base 15.\nAnswer: 69a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20825368 by 4.\nAnswer: 5206342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*c**2 - 20\/11*c + 18\/11 = 0. Calculate c.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089 * 0.17.\nAnswer: 0.01513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -92, -167, -304, -521, -836, -1267, -1832?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 990 and 22000?\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19276 + 19280. Put -3, k, -1, 0.4, 3\/8 in descending order.\nAnswer: k, 0.4, 3\/8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12) - (-19)\/4. Let b = 9 - s. Let j(c) = -c**2 + 5*c - 4. Let m be j(b). Solve -3*y - 9 = -m*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86643927 to the power of 1\/2, to the nearest integer?\nAnswer: 9308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0262 and 0.1.\nAnswer: -0.00262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161537 and 9?\nAnswer: 1453833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2989\/3 + -995. Let y(k) be the third derivative of 0*k + 1\/15*k**5 + 0 - 5*k**2 + 1\/2*k**4 + h*k**3. Solve y(l) = 0 for l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 0\/(-1))\/(-29 - -31). Suppose -5*n = -119 + 34. Suppose -x - 3*x = -t - 16, -5*t - n = x. Solve -k*y - q + 2*q = 3, -3 = x*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 15*z**2 - 540*z - 1100.\nAnswer: 5*(z - 10)*(z + 2)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*c + 278 = 6*j, 5*j - 331 = 2*c. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c01 (base 13) to base 3.\nAnswer: -2210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 40. Suppose -2*n + c = 3*n. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 110, 119, 144, 191, 266, 375?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 5 - (-27 + 41 - 30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1307 - -1311. Solve -9*q + z = -5*q + a, -4*q - 8 = -2*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/60 - o**4\/24 - o**3\/6 - 2*o**2. Calculate the remainder when 12 is divided by c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 * -3731057.\nAnswer: 12685593.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2.3. Let v = p - -0.3. Let w = -2 + 1.9. What is the closest to -1\/3 in -0.3, w, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625792 is divided by 678?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -225133 or -900537\/4?\nAnswer: -225133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -4, -2\/9, 2693, -0.4?\nAnswer: 2693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/15 - 24*b**3\/5 - 2*b**2\/15 + 24*b\/5 = 0. What is b?\nAnswer: -1, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 266206.5 months?\nAnswer: 22183.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122685.969 rounded to the nearest ten?\nAnswer: 122690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89248672 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.015 - -0.075. Let r = -0.13 + d. Which is the nearest to r? (a) 4\/7 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5 + 1)*22\/132)\/((-8)\/16). Let n(f) = f**3 + 7*f**2 + 9*f + 18. Let m be n(-6). Suppose m - s*k - 2*k**2 - 2\/3*k**3 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 39 = 3*i, 5*i + 3508*w - 65 = 3503*w for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 6. Let i be s(-6). List the prime factors of (7*6)\/(i\/(-4)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 57*u**2 + 21*u - 21. Let f(g) = -14*g**2 - 5*g + 5. Determine 21*f(x) + 5*p(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - (31 + 4) - (11 - 0)) + (-70 - 1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60106 or -3258?\nAnswer: -3258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. Let r = 3 - t. What is the remainder when 16 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.354 - 11.554. What is the nearest to q in -4, -0.5, 5, -3.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*v + 3163 = -1815 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3040 and 960.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 5. Let g(w) = -3*w**2 - 3. Let x(t) = -5*t + 36. Let r be x(6). Let a(m) = r*g(m) - 4*n(m). Calculate a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-10)*t**(-12\/5)*t**8*t*t*t**1 assuming t is positive.\nAnswer: t**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 366554476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (118\/(-18))\/(908\/(-2043) + 14\/18)\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 g when four letters picked without replacement from jjjjgjjjjgg?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23.6422 in 7\/5, -2\/5, 0.3?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 + 5*l**2 - 8*l + 18. Let x(v) = 7*v - 2*v**2 - 7 - 2*v - 5 - v**2 + 3*v**3. Let s(k) = -5*a(k) - 8*x(k). Give s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 3. Let r be p(1). Suppose 2*w + 2*w = -4*c + 12, r*w = -2*c. Let x be ((-4)\/(-2))\/(0 - -1). Solve d = -x*d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t, o + 47*t - 44*t + 28 = 0. Let y(l) = -3*l - 63. Give y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60 + (-8 + 4 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122112 (base 3) to base 11\nAnswer: -9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5. Let s be (-2)\/i - (-341)\/33. Let z(l) = 0*l + 15 + 5*l - s. Let o(j) = 9*j + 7. Calculate 4*o(d) - 7*z(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) -1\/4 (c) 2\/17 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - 6*(sqrt(396) + -2*sqrt(396) + sqrt(396)))\/sqrt(12))\/(sqrt(1331) - 2*((sqrt(1331) + 1*sqrt(1331) - sqrt(1331)) + sqrt(1331))).\nAnswer: -sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-135)*6)\/(-2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -3*m, -268*m = -3*b - 272*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101.9036 * -2.6.\nAnswer: -264.94936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (20 + -11 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2206.62 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34327001*t**2 - 73116207*t wrt t.\nAnswer: -68654002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*1*5\/(-3). Let b(t) = k - 12*t**3 + 20 + 13*t**3 - t**2. Is b(0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 1, u: 4, j: 1, k: 3, v: 4}. What is prob of picking 2 v, 1 q, and 1 u?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 2. What are the prime factors of o(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:55 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2195402 - -434598. Round p to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38484926 to the power of 1\/2, to the nearest integer?\nAnswer: 6204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3449 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 148*h - 307. Let w be i(2). Let n(g) = g**2 + 91*g + 577. Calculate n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 35?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 77*x - 6995. Give w(91).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u + 2. Let m(v) = -v**2 - 6*v + 11. Let j be m(-8). Let b(c) = -4*c + 1. Calculate j*b(y) + 2*s(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 5*b**2\/2 + 6*b - 1. Let c(p) be the first derivative of p**2\/2 + p + 149. What is 22*c(m) - 4*d(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111397842 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a microsecond in nanoseconds?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 3798.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27636*l + 4\/3*l**3 + 388*l**2 - 86436.\nAnswer: 4*(l - 3)*(l + 147)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1537 times -0.01\nAnswer: 15.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*i - 3 = 0, -4*i - 4 + 0 = 4*q. Let n be 6 + (6 - 16) + (2 - 3). Sort n, 4, 2, q.\nAnswer: n, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-62)\/(-93) - (64\/132)\/1. Put -4\/7, 3\/5, i, 0.0154, -2 in ascending order.\nAnswer: -2, -4\/7, 0.0154, i, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/12 + (-2)\/12. Let f be (17\/(-2))\/(3\/j). Suppose -4*x + 19 = -f. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-4))**(-25) assuming p is positive.\nAnswer: p**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 - 6*n**3 - 5*n**2 + 2*n**2 in the form h*n**2 + t*n + z + u*n**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -l - 0*b - 10, 4*l - 2*b + 22 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200102102 (base 5) to base 14.\nAnswer: 165d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, 5, 1, -2, 3 in ascending order.\nAnswer: -2, 1, 3, 5, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858685778.\nAnswer: 2, 429342889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -446 + 832. Suppose -5*k + p = w, -2*w - 2*k + 653 = -103. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6902, -13793, -20684?\n\"Answer: -6891*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2 - 97552048*z + 97552046 = 0.\nAnswer: 1, 48776023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108 is divided by 141?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/u**(-2\/53)*u))))\/u)\/((u**(-33)\/u)\/u)*(u*(u*u\/(u*u**(-1\/14)))\/u)**(4\/17) assuming u is positive.\nAnswer: u**(209483\/6307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1663 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*g + 54. What is the common denominator of (-603)\/(-18)*-1 + 5 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -1288. Let a = t + -1113.000779. What is a rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9070 and 8163.\nAnswer: 81630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87730245 + 5?\nAnswer: -87730240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 36, -1, -64, -159, -292, -469, -696?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 37833003.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.058 - -0.148. Which is the nearest to -2? (a) m (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 = 89*y + 132 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12654456 (base 7) to base 6\nAnswer: 41051533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 5*g - 10*g, -7*g = 9*m + g - 12*g + 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4 - 910*v**3 - 2760*v**2 + 5480*v + 7328 = 0.\nAnswer: -4, -1, 2, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w - 3*l, -w - 30 = -5*w - l. Let b = -3 + w. Solve -2*k - 6 = 5*y, b*y + 9 + 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -160, -141, -122, -103?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*b**2 + 2*b**2 - b**2 - b)*(227*b**2 + 62*b**2 + 602*b**2) to d*b**3 + z*b**4 + s*b + y*b**2 + k and give z.\nAnswer: 15147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4cb (base 15) to base 7\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 2032 = 17*a. Let g = 259 + a. Solve -g*b - 2*o = o - 10, -b + 5*o + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, 2, -5 in decreasing order.\nAnswer: 13, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 3*u**6\/5 + 65*u**3\/3 - 4993*u**2 + 14683*u. Differentiate m(z) with respect to z.\nAnswer: 72*z**3 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 28 = -2*v + o, 2*v = -3*o + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7))**(-16)*k**(-15)\/(k*k**(-2)*k) assuming k is positive.\nAnswer: k**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 18 = -q. Let l = -9 - q. Let m = -1 + l. Is -1 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -94 (b) 5\/9 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/13))\/(d**(5\/4)\/d))\/((d**(3\/7)\/d)\/(d**(-8\/5)\/d)) assuming d is positive.\nAnswer: d**(-2607\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 4)*(-2 + 1 + 2)*(153 - 20 - 18)*(-5*k + 4*k + 3*k) to the form u*k + h and give u.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 10*p**2 - 6*p - 12. Let z be u(6). Suppose 0 = -3*q + 6*q - z. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y - 18. Suppose 3*u + 0*u - 5 = -5*l, -u - 2*l = -2. Determine r(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -31.00000021. What is x rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 37 = -5*q + 22, 3*q - 30*w + 29*w - 41 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, h: 3, v: 1, s: 5, r: 3}. What is prob of sequence vrh?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*s + 5 = 0, 151*s = -h + 148*s + 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**3 - 11*h**2 + 2*h - 11. Let u(j) = 2*j**2 - 7*j - 8. Let f be u(-4). Let x = f - 61. Let m be b(x). What is m rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.945688 - 7.154377. Let p = t + 8.1. Round p to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5338870*o**2 + 9821024?\nAnswer: -10677740*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2230 and 1120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 11*c + 4. Let x be g(0). Let n(h) = -2*h + 9. Let y be n(x). What is the highest common factor of 10 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 20. Let v(k) = k**3 - 13*k**2 + 4*k + 12. Let l(q) = -q**3 + 13*q**2 - 5*q - 13. Let f(u) = b*v(u) + 4*l(u). What is the units digit of f(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 2, -38673 in descending order.\nAnswer: 2, -4, -9, -38673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 808 - 479. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-42)\/(-9)) - 18\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 124?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w, c - 1412*w - 11 = -1409*w for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*d**4 - 5*d**3 - 706*d**2 wrt d?\nAnswer: -3336*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -95?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128.07, 27, -5, -2 in decreasing order.\nAnswer: 27, -2, -5, -128.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjgggjggg. Give prob of picking 1 g and 1 j.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 22 = -4*g + 4*t, 0 = g + 2*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 2. Let j(g) = g - 1. Let m(c) = 2*h(c) - 4*j(c). Let a(v) = 37*v**2. Calculate a(m(s)).\nAnswer: 148*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 2 - 2 + (-4*r - 2 + 2)*(r + 16*r - 3*r + (0 + 0 + 1)*(4 - 4 - 2*r)).\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) 29\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from qmemnduu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60937011 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - 69. Let m = k - -186. What is t in 3\/2*t**4 + t**m + 0*t + 0 + 7\/2*t**3 = 0?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1682, 1646, 1608, 1568, 1526, 1482, 1436?\n\"Answer: -h**2 - 33*h + 1716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/3618 and 95\/678.\nAnswer: 408834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 313*t + 2*t**3 - 224 - 156*t - 157*t as d*t**2 + b*t + x*t**3 + v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 22*m**2 - 4*m - 6. Let a be g(-4). Let n = a - 193. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 14. Let z(v) = -1. Let c(i) = -j(i) + 6*z(i). Let m = -243 - -263. Let o(q) = -2*q**2 - 34*q + 14*q + m*q. What is o(c(b))?\nAnswer: -2*b**2 + 32*b - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 11. Let m(l) = -4*l + 16. Let k(h) = -5*m(h) - 7*n(h). Let b be k(-5). Suppose 4*y - 277 = -7*j + 2*j, 116 = b*j - y. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*j - 2, 3*j = 3*x - 24. Solve -h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 10297.\nAnswer: -5\/10297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284 a factor of 747642123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-1) - -2) + 4. Suppose 3*a + 29 = 5*i, i - 3*a + s*a = 5. Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 = -5*z, -6*z = -2*r - 7*z + 3. Let b(g) = g**2 + 2*g - 2. Determine b(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3 - b**2 + 3*b - 3. Let i(w) = -8*w**2 + 6*w - 8. Determine 11*a(m) + 4*i(m).\nAnswer: m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z. Suppose -u - s = -1, 39*u - 38*u - 5 = 3*s. Solve -y - u*y - 3 = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j - 2*j**5 + 4*j**2 + 6*j wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 140*g - 365. What are the prime factors of c(12)?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a + 52 = 0. Suppose l - 75 = 16*l. What is the remainder when a is divided by ((-8)\/(-2))\/(l\/(-15)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = 18. Find the third derivative of -81*d**2 + 90*d**2 + 7*d**h - d**6 wrt d.\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/1424 + -76163\/9968. What is the common denominator of z and 1 - -1*(-73)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7 and -139\/19150460.\nAnswer: 19150460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/9 - (-4)\/6. Let n(c) = 3*c + 9. Let g(p) = p + 17. Let f be g(-14). Let t(m) be the first derivative of -m**2 - 5*m + 93. What is a*t(s) + f*n(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 2728*h**2 + 470532*h + 1838736.\nAnswer: 4*(h + 4)*(h + 339)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 3 - t + 5*t**2 - 3*t**2 - 4. Let i be j(0). Let d(o) = o**2 + 2*o - 5. What is the units digit of d(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102453 (base 6) in base 5?\nAnswer: -232020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2161 (b) 4 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12205740 divided by 12205740\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, f: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*v = 32 - 4, -3*r + 15 = 3*v. Let w be -1*2 + -2 + r. Let o = -4 + w. Let x(a) = -2*a - 3. Give x(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 21. Let k be v(9). Which is smaller: -30 or k?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 35*q - 15. Let c be v(12). Let g be (-1)\/((-3)\/(-36))*1\/c. Let p(s) = -2*s**2 + 3*s - 3. What is p(g)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -5*n**2\/2 + n + 1. Suppose 20*h = -3*c + 18*h - 13, 5*c = -4*h - 25. What is j(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z**2 - 7*z**2 + 17*z**2 - 2*z + 4 - 2*z**2 as h + g*z**2 + i*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 68*w + 21*w + 25*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - r - 1. Let g(w) = -9*w**2 - 11*w - 6. Determine g(i) - 5*m(i).\nAnswer: i**2 - 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.228302 millimeters?\nAnswer: 8228302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 3. Let v(n) be the second derivative of -n**5\/10 - n**4\/12 + n**2\/2 + 10212*n + 1. Give v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-12) - 134\/(-8). Suppose 6*l - w = 103. Calculate the highest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c1 - -126d6?\nAnswer: 13bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102.29 + -102. Round l to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10045 and 245.\nAnswer: 10045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 2*d - 152. Solve 6*r = d*r + i - 1, -4*i + 4 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8779629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18035 - 3462709\/192. Find the common denominator of d and -87\/32.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/50 and -43\/5750.\nAnswer: 5750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 579 times 4\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -265951.85.\nAnswer: -79785.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2, 1\/13, 6.2 in ascending order.\nAnswer: -2\/7, 1\/13, 2, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 416 and 3356496?\nAnswer: 6712992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 111, 121, 131?\n\"Answer: 10*f + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 14*o**3 + 2*o**2 + 15*o - 2. Let m(d) = 29*d**3 + 5*d**2 + 31*d - 5. Let j(w) = 2*m(w) - 5*x(w). What is the second derivative of j(q) wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 87*l**2 + 2461*l + 680. Calculate u(-28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127054065*s**2 + 87*s - 540823?\nAnswer: 254108130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 81 = 1984. What are the prime factors of s?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 9*j**2 - j + 6. Let x be l(-9). Suppose 3*p = 39 + x. Suppose 2*a - p = 6. Is a greater than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/955374 and 121\/336.\nAnswer: 7642992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2, -137, -0.5 in decreasing order.\nAnswer: 2, -1\/4, -0.5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(1\/3)\/(r**14\/(r**(-2\/3)*r)) assuming r is positive.\nAnswer: r**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 1, v: 1, r: 4, a: 1, w: 3}. What is prob of sequence vr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:52 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3670 + -44047\/12. Find the common denominator of 41\/(-42) - (-3)\/3 and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-7 - -2) + 23. What is the highest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23109 divided by 72.\nAnswer: 7703\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + 21 + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -28*z - 1. Let r(u) = 2*u. Determine g(r(q)).\nAnswer: -56*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 1:06 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from yldkd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 8*h + 4. Let z be v(-6). Let n = 3 - z. Let y = -4 - n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*j - 5*f - 19 = 146*j, 0 = 5*j - 2*f - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 28\/(-12))\/((-2)\/3804). Suppose r = l + g, -4*l - 5*g + 1075 = -1463. Find the common denominator of -31\/33 and ((-6)\/(-24))\/(66\/l).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + -0.18. Let t = 0.1 - s. What is t rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 530*f - 522*f + 3 - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m + 909*m**2 - 28*m + 56*m as s + o*m + n*m**2 and give n.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3643, 3874, 4479, 5644, 7555, 10398, 14359?\n\"Answer: 31*j**3 + j**2 + 11*j + 3600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4261 - 1224. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7877, -32569, -73729, -131363, -205477?\n\"Answer: -s**3 - 8228*s**2 - s + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-6 + 2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, -7, -37, -99, -205?\n\"Answer: -2*t**3 + 2*t**2 - 2*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m + 7689. Let b(p) = 5*p - 7687. Calculate -4*b(j) - 3*d(j).\nAnswer: j + 7681","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13805*p + 460404 = 5279*p for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from xiqqrtz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*s - 4*s. Let h(a) be the second derivative of -1\/30*a**5 + 1\/12*a**2 + 1\/12*a**4 - 4*a + 1\/180*a**6 + 0 - 1\/9*a**s. Factor h(k).\nAnswer: (k - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14907744)\/4440*(-10)\/12. What is u rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:04 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 2. Let t be 130\/14 + 6\/(-21). Let a(s) = s**3 - 6*s**2 + 6*s + 3. Let g be a(5). Let d = t - g. Determine z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 107\/3 (b) 0.4 (c) 434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8698.328 kilometers in nanometers?\nAnswer: 8698328000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15983 + 7964 = -77*x. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-3 + 2) - 3. Suppose -i + 3 = -c. Suppose i*f + 1 = -3. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12*y + 252. Let s be t(21). Solve 6*h - 153 + 189 = s for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -7*s**4\/12 - s. Let w(u) = 5929 + 2*u**2 - 5929. Give w(v(k)).\nAnswer: 98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 0*m)*(2*m**3 - 3*m**3 - m**3) + (3 - m**2 - 3)*(0*m**2 - 3*m**2 + m**2).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17003*o**4 + o**2 - 266746*o + 1?\nAnswer: -408072*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 30. Let z be -65*(10 + -8) + (1 - 0). Let o = 129 + z. What is y(o)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21835471 times -0.07\nAnswer: -1528482.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 9*h**2\/2 + 18*h + 47. Let b be m(-2). Let s = 0 + 5. Solve -s*v - 9 + 4 = b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 30110.\nAnswer: 30114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -265, -393, -539, -709, -909, -1145?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203611 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5130 and -56\/765?\nAnswer: 87210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 223*82.48\nAnswer: 18393.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 3*c - 2*c + 4*c - 2*c in the form u*c + a and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 7.2. Let z = -0.6 - 1.4. Let u = -1.9 - z. What is the third biggest value in -2\/7, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4652 divided by -1?\nAnswer: -4652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 21 = 66. Suppose 4*h = z*h - 18. Calculate the lowest common multiple of 126 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1369, 1404, 1439, 1474, 1509, 1544?\n\"Answer: 35*x + 1334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 3, 2\/9, -0.061, 0.5 in decreasing order.\nAnswer: 3, 0.5, 2\/9, 2\/15, -0.061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o**2 - 33*o**2 + 14*o**2. Let l(b) be the third derivative of 17*b**5\/10 + 402*b**2. What is r(l(z))?\nAnswer: -31212*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*g**4 - 1530*g**3 + 11760*g**2 - 27520*g - 15360.\nAnswer: 5*(g - 8)**3*(13*g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -27*a - 1. Let t(j) be the first derivative of -j**3\/3 + 28. Calculate t(o(q)).\nAnswer: -729*q**2 - 54*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3183*i**2 + 44*i. Let w(a) = 2*a. Give w(t(z)).\nAnswer: 6366*z**2 + 88*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 14*o - 42 = -26, h - 6*o = -4*h - 3*o + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 808580 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 85. Let d be 11\/(-1 - -5 - (-3 + f)). Calculate the greatest common factor of 77 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2739 - 2672. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66079 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16121 + 16137. Let h(f) = -f**2 + 24*f + 4. Determine h(i).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 + -221. Let h be 15*i\/15 + 4. Is 14 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4 - -0.4. Let n = -1223 - -1226.978. Let d = n + q. Round d to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -42, -144, -338, -654, -1122, -1772, -2634?\nAnswer: -3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -185, -197, -227, -281, -365, -485, -647?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdpbdrddrzb. Give prob of picking 1 p and 2 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 1. Let u be -1 - 0 - (1 - 5). Suppose 0*l = u*l - 81. Let v be 7\/9 - (-6)\/l. What is q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71751.05 centuries in millennia?\nAnswer: 7175.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/44252 and 43\/66378.\nAnswer: 132756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 166595*1\/9 + 28\/63 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10680907*c**3 - 4517847 wrt c.\nAnswer: 32042721*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5026*s - 3 - 19*s**2 - 5026*s.\nAnswer: -19*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**2 - 480*w**6 + 2*w**2 + 173*w**6 - 1229 - 1698 - 176*w**6 wrt w.\nAnswer: -57960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o**2 - o**2 + 2*o**2)*(3*o**2 - 3*o**2 - 2*o**3) + o**5 + o**5 + 0*o**5 + 0*o**5 + 0*o**5 + 2*o**5 + o**5 + 0*o**5 - 3*o**5)*(-2 + 4 - 1).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*t - 18517898 = -157*t - 3107898. Round t to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67001 (base 15) to base 10.\nAnswer: -327376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50900\/65880029 + -22\/25611. Is v < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 18 + 402 = 0. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -35, -82, -159, -272?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.89894 + 1.9. What is w rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1085)\/(-62) - 19)*(-13 - -15 - 88\/46)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*q - 39 + 717 = 0, -5*i - 2*q = -852. Calculate the remainder when 499 is divided by i.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14893 + 4301 = -2*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79567085 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:56 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 + 11*f + 22. Let n(w) = 3*w + 5. Let j be n(-4). What is the hundreds digit of i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -849 by -2.\nAnswer: 849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 243*j**3 + 4*j - 2*j**2 + 5*j**2 + 244*j**3 - 488*j**3. What is w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209 + 0.2?\nAnswer: 2209.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21 and 4\/1798125?\nAnswer: 1798125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27227, 54512, 81795, 109076, 136355, 163632, 190907?\n\"Answer: -t**2 + 27288*t - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4637.\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 + 2*g + 29 + 30 - 57. Let u be j(-2). What is the greatest common divisor of u and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*o + 622*o - 205*o.\nAnswer: 121*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 4*o + 34*o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + (-2 - 2) - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 - 342544?\nAnswer: -343123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let k(z) = -11*z**2 + 5*z. Let r(f) = -5*a(f) + k(f). Let i(o) be the first derivative of -3*o**3 - 2128. What is r(i(d))?\nAnswer: -891*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -69*k + 4. Let v be y(-2). Suppose -139*r + v*r = 8538. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 14. Is (4\/(-6))\/(c\/(-54)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1112876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from ffffffffbbffffb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.6 + -10. Which is the nearest to 1? (a) -1\/6 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:15 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70429473 and 1058?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = 8. Suppose 30*n + 97*n = -40*n + 1002. Calculate the smallest common multiple of k and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 1, u: 2, h: 1}. Give prob of sequence ooh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -146.277 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-8)*(-3)\/6. Let w = -63 + 106. Let l = 83\/2 - w. What is the second smallest value in l, 0.3, -26, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6059130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/19 - 24*k**3\/19 - 42*k**2\/19 - 20*k\/19 = 0. What is k?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63*2\/7*143\/(-1001)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 740\/(-108)*18\/(-45) and -17\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:32 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:02 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 3950 = 7250. Let s be (-122)\/(-5) - 8\/(r\/(-24)). Solve -g - s = -5*q, 0 = g + 4*q - 0 - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/13 (b) -12\/31 (c) 0.2 (d) 3 (e) -14 (f) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = -2*c, 2*c - 2*i - 6 + 4 = 0. Suppose -335 = -c*d + 3*k, 2*d - 18 - 313 = -k. List the prime factors of d.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**8\/168 - 4*o**7\/15 + 9*o**5\/5 - o**4\/8 - o**2 + 3. What is the third derivative of b(v) wrt v?\nAnswer: -120*v**2 - 1344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 - -124. Calculate the remainder when 19 is divided by (-7 - b)*(-8 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -146420 (b) -1\/28 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 106, 94, 80?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1728) - (sqrt(1728) + (sqrt(1728) + 0)*-1 + sqrt(1728))) + sqrt(1728) + 0)**2.\nAnswer: 96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(2*o - 2*o - 2*o)*(-1 - 1 - 3)*(-2*o - 4*o + 5*o)*(-1 - 3 + 3).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 3, v: 8, s: 1, f: 2, r: 1}. Give prob of picking 1 z, 1 s, 1 f, and 1 r.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/3)\/(6\/18). Let u be -3*15 - (-3 - k). Is (u + -2)*-1*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 + -411?\nAnswer: -3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x + 23. Let o = x + 32. Suppose 5*u - 3*k - o = 16, -39 = -3*u - 3*k. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2 + -1 + 3. Suppose 5*u = -u + u. What is the third derivative of u*b**2 + 0*b**2 + 7*b**q - 6*b**4 wrt b?\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + a + 1. Let x = 3 - 4. Let c be o(x). Let u = c + 10. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 663446?\nAnswer: -663516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 10. Let b = 5 + k. Calculate the lowest common multiple of 20 and (b\/2)\/((-1)\/3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18248*m**3 - 18243*m**3 - 18246*m**3 - 18241*m**3 + 91227*m**3 - 18247*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103509 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**3 + 41*k**3 + 28*k**3 + 20*k**3 - 104*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3 = 3*v, 0 = -13*v + 12*v - 5*s - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m. Let s = 4 - 10. Let a(x) = 2*x + x + 5*x. Let v(k) = s*d(k) - 5*a(k). Let b(i) = -i. What is v(b(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:13 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 + 303572662.34?\nAnswer: 303572658.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1509, 6039, 13589, 24159, 37749?\nAnswer: 54359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.507541 decades to years.\nAnswer: 35.07541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 826*t - 24738. Determine c(31).\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-5\/2)*x**(-34)\/x*x\/x**(1\/2)*x*x\/((x**(6\/13)\/x)\/x))**9 assuming x is positive.\nAnswer: x**(-3681\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6214833 to 2 decimal places.\nAnswer: 4.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38142088 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2. Let u be (2 + -2)\/(1 + 0). Let p(g) = g + g - g + g + u. Calculate p(k(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 419712544 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 47. Let k = 0.1 + -0.2. Let x be -1 + 3 + (-5)\/2. What is the nearest to k in j, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-5)*p)**(-1\/76) assuming p is positive.\nAnswer: p**(1\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2559 - -5966. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r + 3. Let t(y) = -y**2 + 5*y - 2. Let s be t(r). Let q be 9\/(-18)*2\/s. Which is the closest to 2? (a) q (b) 5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2299.698 litres?\nAnswer: 2299698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188859841.\nAnswer: 13, 91450757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 210112002?\nAnswer: -210112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13017340987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4090923960 to the nearest 1000000.\nAnswer: -4091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*1*-10*(-3)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 961 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*k - 20*k**2 - 21*k - 23*k wrt k?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyyj when four letters picked without replacement from yjyjyyyyyyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96204?\nAnswer: 2, 3, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 8. Let m(u) = u - 1. Let t = 42 + -41. Calculate t*y(v) + 6*m(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 1 in descending order.\nAnswer: 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1306*s**3 + 778 wrt s?\nAnswer: -3918*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -0.0404796\nAnswer: -4.0404796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 + 1081*n**4 - 1082*n**4 + 86 + 5*n**2 - 2*n**2 to the form i*n**3 + v + j*n**4 + g*n + q*n**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 225554 to the power of 1\/2, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -179\/2. Let n = 3.93 - -0.07. Let v = -0.5 + 2.5. What is the nearest to v in 5, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 5 (c) -0.1 (d) 46.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68473.04 years in centuries?\nAnswer: 684.7304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Let c(h) = -6393*h**2. Give i(c(t)).\nAnswer: -81740898*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcdlmlmclcllmclm. Give prob of sequence mlm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -34) + (-7 - 5) + 46 + -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 2815*a - 11340 = 0. What is a?\nAnswer: -4, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122121020202 + -10?\nAnswer: 22122121020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14933813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-217\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 y when three letters picked without replacement from xraey.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 251?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -5*sqrt(95)*1)\/((sqrt(30)\/sqrt(2))\/sqrt(3)) - 3*((sqrt(19)*2 + 3)**2 + sqrt(19))*-6.\nAnswer: 230*sqrt(19) + 1530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 3. Let m(l) = 4*l - 4. Let q(v) = 3*h(v) + 4*m(v). Let j be q(10). Suppose 2814 = j*k + 3*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q, q - 20837 + 6104 = -3*b. What are the prime factors of b?\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51678954 and 88.8.\nAnswer: 51679042.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**4\/12 - g**2. Let c(i) = -2*i + 2*i - 4*i**2 - 4*i**2. Calculate r(c(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 8*v - 38, 4*v + 20 = 5*q - 32 - 6 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 - -235. Let m = 0 - -0.4. Sort m, 0, q.\nAnswer: 0, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16885186 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*j - 7 - 8, j = -l - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*n**3 - 360*n**3 + 4 - 4.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.41 - 0.71. Let i = -193.4 + 173. Let k = i + 0.4. Which is the biggest value? (a) k (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.098 rounded to one decimal place?\nAnswer: -67.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -32. Let s = u - 3. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-30)*6\/4. Let k = -21\/38 - 37\/19. Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415952 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 171*c**2 + 5*c + 7. Let i be x(-2). Suppose -i = -14*p + 11*p. Suppose -5*m = -2*u + 140, 3*u - m = -2*m + p. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 5. Give f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1478594l in millilitres?\nAnswer: 147.8594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10139*t - 294203. Determine d(29).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -141648, -566584, -1274798, -2266278, -3541012, -5098988, -6940194, -9064618?\n\"Answer: 2*a**3 - 141651*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 495300 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 804, -1, 2, -29118 in ascending order.\nAnswer: -29118, -1, 2, 3, 804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0191 - -0.001. What is s rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96536 is divided by 219.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 4*h**2 - h + 0*h - 5*h**2 + 654*h**3.\nAnswer: 654*h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 28. Let w be i(0). What are the prime factors of (-204)\/w + (-4)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 6*r**2 - 5*r - 6. Let j be v(5). What is the common denominator of (45\/(-84))\/((-6)\/4) and (j\/(-20))\/((-18)\/(-265))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33121 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -10 (c) -220 (d) 3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by 166.\nAnswer: 169\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.1 - 14. Which is the second smallest value? (a) -1\/4 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**3 - 213*s**2 + 1098*s + 102. Calculate r(5).\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.3413358 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let f be k(-1). Suppose u - 2*u = -3. Suppose -f*a = u*a - 40. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/700*-30*((-4100)\/(-15))\/41.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6316397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/76*(-68052)\/39697?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3544 - 2064. List the prime factors of c.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/29, -585.1, -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -7, -587123, 1?\nAnswer: -587123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2820.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 642*h - 322*h - 11 = 319*h - 5, o - 7*h = 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 2*c - 1. Let o(x) = 395*x**2 + 5*x - 3288. Let i(j) = -o(j) + 4*p(j). Differentiate i(z) with respect to z.\nAnswer: -798*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7593 - 7593. Which is the second biggest value? (a) 2\/155 (b) -24 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*1)\/(3\/(-3)). Suppose 2*w + 3*x = -a, 0 = 3*w + 5*x - 4*x - 6. Suppose -32 - 4 = -w*g. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3, -2\/13, 771\/131, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1928 and 108?\nAnswer: 52056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 20991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:10 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 15 = o, -5*o - 3*k = -15 + 5. What is the greatest common factor of 65 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -33. Let u(p) = p**3 + 6*p**2 + 4*p - 5. Let b be u(-5). Suppose b = -3*a + j + 29. What is the highest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -16*t - 323. What is z(-23)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 708370*r**2 - 83*r - 436 wrt r.\nAnswer: 1416740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:40 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -67.555, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 1. Let w be l(-1). Let o be (40 + -2)\/(w\/(-6)). Let r = -51 - o. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753575437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*f + 79*f + 3177. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 4*r - 6. Let w be (280\/(-28))\/(2\/1). Determine m(w).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 273 + o + 272)*(-31 - 63 + 27)*(-1 + 3 + 13).\nAnswer: -1005*o + 1005","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40983 and 107146099?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -675, -1354, -2033, -2712?\n\"Answer: -679*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -0*b - 12*u + 16, -6*u + 2*u - 184 + 352 = 176 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/2 - 50*j**3\/3 + 54*j**2 - 1091. Find z, given that w(z) = 0.\nAnswer: -27, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -34964101*t. Let f(g) = -2*g**2. Give s(f(d)).\nAnswer: 69928202*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2 - 1)*0. Let u be 3*2\/12*j. Suppose u = -3*v + 5*b + 29, 15 = v - 7*b + 4*b. Solve -t = -3*r + 13, 4*t - 3 = v*r - 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24.8, -4, -0.2 in descending order.\nAnswer: 24.8, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.8. Let l = k - 0.9. Which is the closest to l? (a) -1\/4 (b) 1\/7 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205678336 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -22*s**2 - 24*s + 4. Let h(j) = 7*j**2 + 8*j - 1. Determine -7*h(q) - 2*z(q).\nAnswer: -5*q**2 - 8*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10769 = 10*m - 12288 - 2503. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 40*l**2 + 145*l - 36. Suppose 0 = 3*c - 110 + 2. Let u be i(c). Solve u = -b - 6*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234265 plus -1202?\nAnswer: -3235467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10001012 (base 3) to base 8\nAnswer: -4253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, -14, 0, -3, -8 in descending order.\nAnswer: 0, -3, -8, -14, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 31*u - 3838 + 3835 + 35*u. Let r be a(3). Calculate the greatest common divisor of r and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 459 + -426. Which is the third smallest value? (a) 0.5 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j**(-19)*j))*j*j)**(-1\/14)\/(((j*j**(-2\/17))\/j)\/(j*j*j*(j**(-3\/7)*j)\/j*j)) assuming j is positive.\nAnswer: j**(1167\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1848*l**3 - 12*l**2 + 15*l - 1. Does 74 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015445553 rounded to six decimal places?\nAnswer: 0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -2. Let l = -0.25 - -0.75. Which is the biggest value? (a) p (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + (-166)\/(-6). Let g = -368 + 486. Let k = -76 + g. What is the highest common factor of y and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/4 + 6012*k**3 + 11368578*k**2 - 2723315760*k + 153893160300.\nAnswer: 3*(k - 110)**2*(k + 4118)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*k, -3*k + 5*k = m. Solve m = -u - 3*r - 7, 0 = u - r - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 10688*q + 53490 = 0. What is q?\nAnswer: -5, 5349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 572?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2075588525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2 + (-3 - 4 + 4)*(0 + 3 + 0))*(-305 - 100*d + 305) to the form z*d + q and give z.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Let i be 15\/3 + (0 - o). Suppose 5*r = y + 4*y + 190, 0 = -y - i. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261809, -261807, -261805?\nAnswer: -261803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n = 5*i + 2887, 2*i - 10 = 0. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.008, 2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466030 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: Simplify (2*sqrt(114)*-2)\/((sqrt(6) - (-3*sqrt(6) + sqrt(6)))*5) - (sqrt(171) + -3 + -3 - 1*sqrt(171)*3).\nAnswer: 6 + 86*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 5 = -5*l. Let z = -199 - -185. What is the lowest common multiple of l and ((-90)\/35 - -2)*z\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 35 = 4*u. Suppose -s - 4*d = -3*s + 46, -3*s + 57 = -2*d. Let c = s + u. Solve -6*g + 2*g + q = c, -5 = 2*g - q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -662, -1078, -1492, -1904?\n\"Answer: m**2 - 419*m - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/119, -4, 0.2, 1\/15, -1\/5?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 3)\/((-2408)\/10836).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2295 times -5393?\nAnswer: 12376935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 811065 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n + 213. Calculate y(23).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(1\/4)*d*d*d)**(-9)\/(d**(-8\/5)\/d**(-7)))**(2\/79) assuming d is positive.\nAnswer: d**(-1053\/790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**3 - 25699*u**2 - 122*u - 525 wrt u.\nAnswer: -24*u - 51398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + 228. Let p be (-2)\/(-4) - 878\/4. Let y = d + p. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -20. Let c be 2\/l - (-5)\/3. Let r be ((-3)\/(-27))\/(c\/12). Sort r, 2\/7, -3.\nAnswer: -3, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/7)\/u**(-3\/4)*((u*u\/(u\/(u*u\/u**(2\/7))))\/u)\/u**(-2\/15))**(-9\/2) assuming u is positive.\nAnswer: u**(-3813\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0 + 0 + (-2 + 2 - r)*(-1 + 0 + 2))*(-3*r + 4*r + 2*r)*(-43 + 43 - 2*r**2) as w*r**4 + j*r**2 + u + k*r + z*r**3 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 59*w**3 + 3*w**2 - 3*w + 1. Let k be p(2). Suppose 351 = -j + 3*d, -2*j + 4*d - 687 = d. Let n = j + k. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16793, -35488, -54183, -72878?\nAnswer: -91573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**10\/1260 - t**6\/120 - t**3\/3 + 5*t. Let s(v) be the second derivative of z(v). Find the third derivative of s(g) wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((36\/224)\/3). Let c = -215 + 175. Let s = c + b. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/17 in -2\/7, -4, 2\/7, -15\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*q - q**2 - 15*q + 10051*q**4 - 6 + 18*q + 11*q + 1067*q**4 wrt q.\nAnswer: 266832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*p + 101, -2*z - 93 = -2*p + z. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = 5*i - 101, -5*q = -5*i - 130. What is the units digit of (q\/(-27))\/(1\/(-41))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 131 in 2\/19, 2, -6, -7282?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - s = -7, 4*z - 20*s + 95 - 179 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5656)\/(-909))\/56 - 32\/126?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5184, 10269, 15352, 20433, 25512, 30589, 35664?\nAnswer: 40737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -6, -141\/8 in descending order.\nAnswer: -2\/3, -6, -141\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from {h: 4, j: 8, v: 5}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 - 3*k - 1. Let w be n(-1). Let y(d) = d**3 - 3*d**2 + 3*d - 2. Let v be y(w). Let l = 205 - v. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 320?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 5:07 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 62520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t)\/t**9*t**(-1\/4)*t\/(t**(-1)*t))\/((t*t**(2\/9))**6)**(-8\/9) assuming t is positive.\nAnswer: t**(-619\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(2\/74). Let u = 20 + j. Is u less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z - 4*l = -27, 3*l + 6 = -5*z. Let b(f) = f**2 + f + 3. Let u be b(z). Suppose -2*p + u = 3. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -285, 4, -1.\nAnswer: -285, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84887367 to the nearest integer?\nAnswer: 9213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.128 and -0.0435.\nAnswer: -0.005568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 740.2 - 761. Let d = -2289658484 - -2289658504.80000273. Let w = l + d. What is w rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103888432 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(2\/189)\/(((a\/(a*a\/a**(-4)))\/a)\/(a\/((a\/(a*a**0*a))\/a)*a*a)) assuming a is positive.\nAnswer: a**(6233\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -115814*r**2. Let w(p) = 3*p**2. What is q(w(f))?\nAnswer: -1042326*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022020012 - -22?\nAnswer: 10022020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61\/510 + -4\/85. Which is the second smallest value? (a) j (b) -1\/12 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 0.4, -7\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 13 - 16367*x**2 + 32727*x**2 - 13 - 16360*x**2.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 - 11*w**2 + 4*w - 6. Let c(q) = 3*q**3 + 11*q**2 - 3*q + 5. Let o(s) = 5*c(s) + 4*g(s). Determine o(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2813.5 + -2813.7. What is the biggest value in -3, 2.52, -2\/5, j?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 3*k**5\/20 - k**4\/4 + 2*k + 4. Let b(r) be the first derivative of v(r). Find the third derivative of b(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (194*1\/(-5))\/(128\/(-7000)). Let d = 2127 - x. Calculate the common denominator of d and 54\/19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 30. Let b(n) be the first derivative of -3*n**2 - 6 - 1\/3*n**3 - u*n. Give b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -350 - -375. Suppose 5*b + h - n = -4*h, b = 2*h - 7. Let w(p) = -77*p**2 - 66*p - 66. Let s(r) = -r**2 - r - 1. Determine b*w(z) - 66*s(z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/528126 and -26\/85644433.\nAnswer: 513866598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*d = 4266, -3*d = 3*b - 4246 - 2141. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.5162 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-135)\/9 - (-295)\/(-290)*8.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b**(-1)\/b)*b*b)\/b)\/b**2*(b**(1\/2)*b)\/b**(-6))**(2\/17) assuming b is positive.\nAnswer: b**(23\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**3 + 5*r**3 - 1 - 5 - r**2 + r + 7*r**2. Give n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 34*t**3 - 37*t**3 + 0*t + 73*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 330805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3 - 2*v + 3*v - 1. Let n be -1 - (-2 - (-3 - -5)). Give p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 - 25*n**2\/7 + 152*n\/7 - 128\/7.\nAnswer: (n - 16)*(n - 8)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2. Let r(b) = 5*b**2. Let s(m) = 11*k(m) - 6*r(m). Let g(x) = 4*x**2. Suppose 52*j = 46*j + 228. Suppose j = -10*o - 22. Give o*g(l) + 7*s(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = 2*a, -5*a + 30 = -0*v + 5*v. What is the second derivative of -17*b**2 - 5*b + 29*b**a + 10*b**2 wrt b?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8099 + 24*s + 3849 + 16*s + 3984 to k*s + g and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 780?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/((-1)\/(-45)) - (-97)\/4365*-495\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 - 4*h**2 + 12*h**2 - 9 - 10*h**2 + 4 + 93*h**4 wrt h.\nAnswer: 2232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151489 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 10*f**2 + 9. Let s be w(-10). Let y = -7 + s. What is the units digit of (-84)\/(-2 - (-1)\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231631 (base 13) to base 6.\nAnswer: -25453344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*i - 55*i**2 + 2*i**4 - 2*i**3 + 3*i**2 + 46*i + 58*i - 144.\nAnswer: 2*(i - 3)*(i - 2)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -131 + 127 + (-3)\/(6\/(-4)). What is the fourth smallest value in -7\/5, 0.1, i, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 + 1399 = 8*y. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i - 26. Let o be c(-4). Solve 3*x + o*v - 3*v = 12, 3*v + 24 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 + 10*l**4 - 175*l**3 - 80*l**2 + 1700*l - 2000 = 0.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from jjlvlxxvvjvfxlvv.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11922312 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62 - 63 - 1056*w**3 - 82 + 306 - 76 wrt w.\nAnswer: -3168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*2\/14 - -1*13. Let y(b) = -b**2 - 9*b + 10. Let i be y(-10). Suppose -4*r + 109 - f = i. What is the smallest common multiple of r and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203230 (base 12) in base 2?\nAnswer: -1111010110110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/10 - -1 - (-511)\/(-35). Sort 5, 1, p, 4.\nAnswer: p, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.787596 - -32.78. Round z to four dps.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by 42.\nAnswer: 125\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34668, 69079, 103478, 137865, 172240, 206603, 240954?\nAnswer: 275293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/22? (a) 4 (b) -26 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 18*l = 23*l + 59, -69 = -4*x - 3*l. Calculate the greatest common factor of x and 46242.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 346006 - 673049 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*m - 8*m**4 - 244*m + 124*m + 0*m**3 + 0*m**3 + m**4 + (-m**3 + 3*m**3 - 3*m**3)*(-2*m - 2*m + 3*m) as j + h*m**3 + p*m + g*m**2 + x*m**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1439 + 1060 = 21*z. List the prime factors of z.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-10))\/((-2)\/10). Let b(v) = 9*v + 3. Calculate b(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10951671 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -1. Let b = 8533 - 8534. Let d(k) = -2*k**2 - 2*k + 2. Let a(s) = -s + 1. Give b*a(j) + r*d(j).\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -113. Let f = o - 45.99999891. What is f rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3939259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -0.14. Let q = -16.696 + 16.196. What is the closest to -0.5 in -3\/4, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14784243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8447047 is divided by 207.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 3*h - 2. Let v be c(-2). Let s = -10 - -26. Suppose -v = -5*d - g + s, -d - 2*g + 3 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.169.\nAnswer: 0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -56*z - 326. What are the prime factors of h(-23)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 45 = -w, 2*w - 4 = -2*r + 16. Calculate the remainder when 51 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 at most as big as -455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 3. Suppose 2*x = -0*x + 8. Suppose 14 = -5*j + x. Determine u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1485814?\nAnswer: 2, 11, 67537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 420211143 (base 5) in base 3?\nAnswer: 10020200100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 43, 33, 9, -23, -57?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 15. Let b = z + -3. Suppose r = 4, l + 12 = b*r + r. Is 5 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3520 + -3651. Is -94 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -60. Suppose b + 4 = 3*b + n, -4*n = -b + q. Suppose 2*x - 5*y + 2 = 0, 4*y = -b*x + 16 + 8. Solve 4*p - 23 = -f, -x = -p + 2*p - 3*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.1, 3, -105, -18, -0.7.\nAnswer: -105, -18, -0.7, -1\/3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6823?\nAnswer: 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10032 + 10035. Solve 15 = 5*t + 2*c, 5*c = 4*t + q*c - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 267 + 4?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 17*a**2 + 28*a + 5. Suppose 294 = 587*t - 538*t. Calculate s(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96848 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwwnwtwwh. What is prob of sequence hn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 573502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -13\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 5, n: 3, w: 4}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s**3 - 3 + 0*s - 3\/4*s**4 - s**2. What is the second derivative of i(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g. Let o(w) = 5*w**2 + 2*w + 1. Let k be o(-1). Suppose 3*i - 1 = -k*v - 2, 0 = -3*i + 2*v + 5. Sort 4, g, i in descending order.\nAnswer: 4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - d - 7. What is the remainder when 66 is divided by h(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -309497, -617550, -925603, -1233656, -1541709?\n\"Answer: -308053*r - 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -15, -1, 33, 93?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Let f = -1.98 + 2.98. Which is the fourth smallest value? (a) -0.3 (b) r (c) 0.1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 370\/9241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*r**5 + 16*r**5 + 7*r**5 + (-3*r + 0*r + 5*r)*(0 - r**4 + 0) + 4*r**2 + 2*r**5 - 4*r**2 + 14*r**5 - 101*r + 101*r.\nAnswer: 67*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 6. Suppose 116 = 4*j - 3*v - v, -2*j = v - 61. Let x be (j\/(-20))\/(6\/(-8)). Solve 3*c - 3*q = -x*c, -c + i = q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2921044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 104 = -208 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 15. Suppose c = -2 + 5. Suppose -c*l - 2*u = -2*l - 4, 0 = -2*l + 4*u. Solve -3*v - v - l*o - y = 0, 3*v = -o - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 58000?\nAnswer: -58000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 45974 = -2*c, 1 = -m - 1. Let w = 39385 + c. Suppose j = -j + w. Round j to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5241845 to the power of 1\/2, to the nearest integer?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-6) + (-3)\/(-2). Suppose v - 4*v + q = 0. Solve 3*g + 24 = -5*o, 3*o + g = 5*o + v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*z + 46*z - 10*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6810210 to the power of 1\/2, to the nearest integer?\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*3 - sqrt(22))\/(sqrt(24)\/(sqrt(24)\/sqrt(2))) + 0 + 1)**2.\nAnswer: 22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**4\/8 + 2*j**3\/3 - j**2. Let h = 12 + -9. Let k be b(h). Solve -5*y = 2*q - 2, -q + 3*y = k - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-255 - 388 - 421 - 1736)*(-2 + 2*c - 5*c + c) as x + g*c and give x.\nAnswer: 5600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378160 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -30 + 3 + (-91)\/35. Is v > -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1538 - -2052. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25260145 (base 7) to base 15.\nAnswer: -30188d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o - 5*k + 54, -5*o + 93 = 2*k. Suppose -o*y = -12*y - 30. Solve -2*v + 4*h - 4 = 0, v - 3*h + 16 = y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 120 = 986. Is i a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 0.4, -19\/5 in increasing order.\nAnswer: -19\/5, -1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380933?\nAnswer: 7, 54419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7390, 29485, 66312, 117871, 184162, 265185?\nAnswer: 360940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -11*q**4\/2 + q**3\/3 - 167*q**2 - 354*q - 247. Let v(c) be the first derivative of o(c). Differentiate v(g) wrt g.\nAnswer: -132*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -80880721.\nAnswer: 5\/80880721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*976\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 751 from -43854101479.\nAnswer: -43854102230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*m**2 - 31*m**2 + 148*m**2 - 54*m**2 + 285*m**2.\nAnswer: 810*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 23303 + 115621 = -2*f, 138472 = 3*h - 2*f. What are the prime factors of h?\nAnswer: 2, 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 51, 102, 173, 264, 375, 506?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19657*x - 378538 = -23684*x for x.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -100*j**2 - 17*j - 3. Let g(s) = -100*s**2 - 18*s - 3. Let q(p) = 3*g(p) - 4*t(p). List the prime factors of q(2).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*c**4\/5 + 15*c**3\/2 - 233*c**2\/10 + 177*c\/10 - 7\/2 = 0. Calculate c.\nAnswer: -7, 5\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 2:25 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbbd when four letters picked without replacement from bvvvdbdd.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (3 + -1) - (-48)\/6. Solve 5*d + 18 = m*d - 3*n, 5*n + 19 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*c**3\/5 + 59528*c**2 + 2646462*c\/5 - 315468\/5 = 0. What is c?\nAnswer: -9, 2\/17, 8763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -793\/3140 + 2\/785. Which is the second smallest value? (a) -0.5 (b) n (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k - 16*k - 248124 + 248124.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.17 - 6.5. What is j rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i + 3*i)*(50*i**3 + 68*i**3 + 2*i**4 + 27*i**2 - 114*i**3).\nAnswer: 14*i**5 + 28*i**4 + 189*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1483197 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74376*t - 87679?\nAnswer: 74376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20139 less than -0.212?\nAnswer: -20139.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/12*((-204)\/(-40) + -5). Let x = -7 + 10. Which is the nearest to 0.6? (a) u (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -y - y + 2*n, 0 = -4*y - 5*n + 25. Suppose -3*w + 3 = y, 5*q - 2*w = 3*w + 80. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -130*p**3 - 3*p**2 - p. Calculate h(-1).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -180\/7. Let y = -8.9 - -9. Let x = 3 - 2. Which is the nearest to x? (a) q (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4*(390\/140)\/(36\/14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 1103. Let o(j) = 10*j + 1651. Determine 8*c(s) + 5*o(s).\nAnswer: 2*s - 569","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24984 - -5234. List the prime factors of h.\nAnswer: 2, 29, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let d = 2.925 + 2.075. Sort 551, d, -3, 0.\nAnswer: -3, 0, d, 551","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/399633?\nAnswer: -16\/399633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 - 2*i**2 + 6*i**2 + (0*i**2 + 4*i**2 - 5*i**2)*(-22 - 7 + 5) + 0 + i**2 + 0 as l + s*i**2 + z*i and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 192, -1\/9776, -3?\nAnswer: -1\/9776","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6826 + -2296. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + 2*(sqrt(1700) + sqrt(1700) + 0 + 5 - 2*(sqrt(1700) - (sqrt(1700)*-2 - sqrt(1700)))))*6 + -4)**2.\nAnswer: -44096000 + 576000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038306202 to 3 decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 727, 3096, 7125, 12814, 20163?\nAnswer: 29172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.135464288 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4 = -1. Let d = 16 + -14. Is k bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215552 + 4?\nAnswer: 215556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 plus -5?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let h be (-21)\/(-20) - 28\/35. What is the closest to 1 in h, 0, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*b - 525*b - 13448 = -176*b - 204*b for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-3)\/(-7)*(-154)\/(-132). Let w(y) be the second derivative of 0 + 11*y - 1\/12*y**4 + 1\/2*y**r + y**2. Determine w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11607, -31387, -59321, -95403, -139627, -191987, -252477, -321091?\n\"Answer: r**3 - 4083*r**2 - 7538*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 12 = -16*c. Suppose -4*n + 2*n + 18 = 0. What is the least common multiple of c and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 1\/2*d + 0*d**2 + 1\/10*d**5 - 1\/3*d**3 + 10 + 0*d**4. Find p such that j(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 25. Suppose -i*y + 3*f = -0*y - 598, 4*y - 2*f = 478. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 200 = -k, -6*u = -4*k - 3*u + 869. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 - 9*u + 1. Let q(t) be the first derivative of -2*t**3\/3 + 2*t**2 - 27. What is -2*p(z) - 5*q(z)?\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 21. Let m = s - -11. Let p = m + 8.0000005. Round p to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 + 1. Suppose 2*i = -i + 3. Suppose 1 = d - i. Let x(r) = 1 - 5*r**3 - 2 - 2*r**d - r**2 + 4. Determine -3*f(g) + x(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13443 and 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/25 (b) -0.4 (c) 0 (d) 0.2 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(2*h**2 + 18*h**2 - 5*h**2 + 1).\nAnswer: -15*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1870, -1872, -1874?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4860*a*d**2*o**3 - 7*a*d*o**3 - 28*a*d*o - 2*a*d + a*o - 6073*d**2*o**3 - 4*d**2 - 3*d*o**2 + 35*o**2 wrt d.\nAnswer: -9720*a*o**3 - 12146*o**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046429 is divided by 1510.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/19)\/r*r*r*r\/(r**(-2\/7)*r*r))\/((r**(-22\/7)\/r)\/((r*r*r\/r**25)\/r)) assuming r is positive.\nAnswer: r**(-2498\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:43 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9291 to 1 dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -7, 3, -3 in descending order.\nAnswer: 10, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 8*m - 26. Let a be l(10). Let h(r) = -12 - 3*r + 4*r - 5*r. Let j(d) = 3*d + 12. Let q(f) = 2*h(f) + 3*j(f). What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 9, g: 1, e: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2529 - 95*z**2 + 169*z + 2529 + 134*z.\nAnswer: -95*z**2 + 303*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.172158 to three decimal places.\nAnswer: -0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8912117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 17 - (7 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/2*(-25)\/(-45)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1836) - sqrt(51))\/sqrt(3) - (sqrt(17)*3*1 + sqrt(17))) + 3.\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*g + i + 13, -3*g + i = -11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba + 51?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 29*o**2 - 11*o - 17. Let a(g) = 3*g**2 - 29*g - 20. Let v be a(11). Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 17085 = 6*d. Let k = 222 + d. List the prime factors of k.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5241 = -820*r + 815*r + 4199. What is the remainder when r is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-50)\/(-30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (560\/(-1008))\/((-2)\/18). Let z = 2.63 + 0.07. Let t = z + -3. Sort t, k, 1\/4 in decreasing order.\nAnswer: k, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84321.2822 - 6107.5\nAnswer: 78213.7822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*p**3 - 68\/5*p**4 + 4*p**5 + 0 - 24\/5*p + 68\/5*p**2 = 0.\nAnswer: -1, 0, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 0.0113.\nAnswer: 0.000452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 736586515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -19*h**2 - 31*h - 9. Let x(v) = -5*v**2 - 8*v - 2. Let n(j) = -2*s(j) + 9*x(j). What is the second derivative of n(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-4)*j)))\/j)**(1\/12)\/(j*j*j**(-3\/19)*j)**(-9) assuming j is positive.\nAnswer: j**(1439\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 1482.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 32. Let g be p(-6). What is the second derivative of 0*f**g + 2*f**2 - 35*f + 42*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222001211111200 (base 3) in base 13?\nAnswer: -2b40892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 7*t**2 + 8*t + 5. Let b be k(-6). Let h(r) = r**2 + 8*r + 1. What is h(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 2. Let y be l(0). Let x be 2 + -1 + (y - 2). Differentiate 4*d + x - 2*d + 0*d with respect to d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45010 - 21540. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -543*j**5\/5 + 81*j + 349. Differentiate q(m) wrt m.\nAnswer: -2172*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513445 and 3509131.\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501cf (base 16) to base 3.\nAnswer: -121200010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134412.2kg to milligrams.\nAnswer: 134412200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/13, -22\/7, 0.02?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 - -1) - (16 + -14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14487 is divided by 7243.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79173.55 litres to millilitres.\nAnswer: 79173550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*p + p = 305, 0 = m + 4*p - 67. What is the remainder when 175 is divided by m?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7249549 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -74*z + 123 + 162. Solve 0 = -z*i - 13 - 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -54. Let o = 40 + h. Let j be 1 - (-7)\/(-4) - (-46)\/(-24). Are o and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, -51, 1\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 9076211 = 4*v + 9076215, -4*p = 4*v - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab855 (base 12) to base 4.\nAnswer: -313210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.56 + -10. Let a = 23 - c. Let k = a + -0.439916. Round k to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f**6*f)))\/f)\/f)**(-39) assuming f is positive.\nAnswer: f**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3*w**2 - w**3 + 3*w**2)*(-3*w + w**2 + 3*w)*(-8 + 35 - 15)*(-1 - 2 + 5).\nAnswer: -24*w**5 - 48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.0515253 rounded to three dps?\nAnswer: 69.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9048 and 28.\nAnswer: 63336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5705 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -23. Suppose -4*l = -0 - 12. Sort x, 2, l in descending order.\nAnswer: l, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let y be k(-2). Suppose 35 = y*i - 9. Which is greater: i or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -72. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387.629 + 388. Let u = y - 0.370997989. What is u rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 220470 = -0*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (-49390)\/990)\/((-336)\/(-81) - 2).\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 - -17.5. Let d = 2646.406 + -2632.406021. Let n = d - t. What is n rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -0.3. Let i = 7.38 + -7.68. What is the closest to z in 5, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -401, -778, -1155, -1532, -1909?\n\"Answer: -377*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 11206995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 997?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218.93 + -0.93. Let l = t - 241.1. What is l rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 5*p**2 + 4*p. Let n be c(3). What is the remainder when -5 - (-45 + -6 + n) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.172 + 0.072. Let w = -3 - s. Let z be 2\/4 + (-2)\/8. Which is the nearest to w? (a) z (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2046985 is divided by 106?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:03 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + (20 - 31)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (9 + (-32 - -10)) - (31 + -3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, x: 2}. Give prob of picking 4 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8339 + -59.\nAnswer: -8398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 7) to base 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 20?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19326 divided by 3221?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11 or 38722?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*c**2 - 185*c**2 + 2125*c**2 - 88*c**2.\nAnswer: 2262*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6 + -1)\/(24\/18). Factor 1\/2*x**4 + 0*x + 0 - s*x**2 - 1\/4*x**3.\nAnswer: x**2*(x - 1)*(2*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 - 117451186460*c**2 + 117451186460*c**2.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -52. Let h = 39 - m. Let b = 93 + -50. Calculate the remainder when b is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -1.3. Let o = -0.8 - y. Let r = -4.95 + -0.05. Which is the second smallest value? (a) o (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**7)\/x**1)**(2\/21))**(-4\/9) assuming x is positive.\nAnswer: x**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -160.5. Let l = m + 10.49998906. Round l to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 19 + -12 + 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*g**3 + 2302797*g**2 + 1973799*g\/5 + 84591\/5.\nAnswer: (g + 9399)*(35*g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - o - 563 = -6*o + 336 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32262 and 130188.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -58cd5d1?\nAnswer: -58cd5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -970310 - -123220.\nAnswer: -847090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 14*v + 19. Let p be a(13). Solve 0 = 3*q + 4*n + 11, 5*n + 19 + p = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.153 - -0.047. Let f = k - 11.2. Suppose -2 = 4*u + 2. Which is the nearest to f? (a) -2 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/53)\/((-18)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/(35\/(-560)*6). Suppose -5*g + 8 = -g. Suppose -p = -g*o + 6287, -o - o + 6282 = b*p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(8)\/sqrt(4)) - (sqrt(2) + 0 + 2)**2.\nAnswer: -6 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.386 - -0.014. Let m = 1\/6 + 1\/2. Which is the second biggest value? (a) 3\/2 (b) v (c) m (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 44*k + 96.\nAnswer: -2*(k - 2)*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(6 + (-6429)\/1074). Let b = 574 + h. List the prime factors of b.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2226091, -4452188, -6678287, -8904388?\n\"Answer: -v**2 - 2226094*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + 3ddcc5?\nAnswer: 3ddca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/3)\/(378\/(-567))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692\/3*g - 228*g**2 - 8\/3 = 0.\nAnswer: 2\/171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67279\/14 + 9721\/2. Let r = -299\/14 + y. Find the common denominator of r and -57\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3702)\/9)\/(12\/(-18)). Suppose 358 = 5*m - c. What are the prime factors of m?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 125 = 11*s. Suppose 0 = -5*k - 3*f + 72, 3*k = 9*f - s*f + 42. Solve 5*t - 2*p - k = 0, 0 = 3*t + t - p - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, e: 4, t: 2}. Give prob of picking 1 t and 3 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1589917 + 4?\nAnswer: -1589913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 707464\/16)*(480 + 0). Let y = 10160560 + o. What is y rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 889863, 889850, 889837, 889824, 889811?\n\"Answer: -13*k + 889876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245\/12 - 251\/12. Let o = 2 - -0.8. Let x = -0.2 + o. Is g >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6694*c + 515954 + 968197 = 35795*c for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 + 404. Solve -5 = -p + c, 2*p + 5*c + 11 = -v*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 88. Suppose -519 = -5*g + 6. Let x = g - o. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16.113 or -8280?\nAnswer: -16.113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -224978 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -14*i + 21. Let u(k) = k - 1. Let x(h) = 4*h - 63. Let f be x(21). Calculate f*u(d) + b(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10*b**4 - 59*b**3 - 60*b**3 + 119*b**3 - 6*b - 11*b**4 to i*b + h*b**2 + p*b**3 + k*b**4 + o and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**1)**24)**(3\/50))**(5\/11))**19 assuming v is positive.\nAnswer: v**(684\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50759407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*2\/9*-6. Suppose 11 = z*n + 5*m, n + m = -0*n + 3. Solve 5*u + 13 = x, 4*x = -n*u + u + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-55)\/10)*1\/(-2). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415468149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -4*f, 19 - 3 = 5*f - 3*r. Suppose 0 = -f*x - 1 + 7. Let w be ((-3)\/6)\/((-1)\/4). Which is the nearest to w? (a) x (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3924)\/(-96) - 39)\/(5\/2*1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 4*s - 6. Suppose 2*h + 2*h - 36 = 0. Let t(g) = -11*g**2 - 7*g + 11. Let y(i) = h*d(i) + 4*t(i). Is 5 a factor of y(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -220*a + 125. Let m be d(-10). Suppose 6*l - m - 747 = 0. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-1)*30\/90?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m. Let n(g) = g**2 + 7*g + 4. Let f(j) = n(j) + 4*p(j). Let d(r) = -r**2 - 1. Let c(o) = 4*d(o) + f(o). Calculate c(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -36. Suppose 4*m - 3*m - o = 0. Let c = 159 - 150. What is the remainder when m is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5\/2 - 353733*z**4\/2 + 1414899*z**3\/2 - 1768611*z**2\/2 + 353721*z = 0 for z.\nAnswer: 0, 1, 2, 117907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/6 and -20\/342629847.\nAnswer: 685259694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373*-0.01376.\nAnswer: -5.13248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 + 333*z**3\/5 + 1881*z**2 + 1815*z.\nAnswer: 3*z*(z + 1)*(z + 55)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5950 and -31\/49616.\nAnswer: 21086800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6202 + 63*a - 6202 + 12404.\nAnswer: 63*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 624014163 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7819*b**3 - 2*b**2 - 6*b - 6. Is g(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:13 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 89212761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {u: 3, v: 5, x: 1, a: 1, q: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.60116 + 0.18804. Let g = -14.8 + r. Round g to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 659*r + 3 - r**3 + 8*r**3 - 4 - 5*r**3 + 42*r**4 - 658*r as c*r**2 + v*r + s*r**4 + p + m*r**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-47)\/(-2914)*31)\/(34\/(-12)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.306014 millilitres in litres?\nAnswer: 0.002306014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 21*s = -324. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 + 4 = 0. Suppose 0 = -3*u - a*s + 24, -13 = 2*u - 6*u + s. Solve -u*j = -5*v - 6, 2*j + 4 = -2*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 77. Let x = -21 - s. Let a(m) = 25*m - 1. Calculate the remainder when x is divided by a(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1607, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 73, -8, 1 in descending order.\nAnswer: 73, 5, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38517 plus -6.8?\nAnswer: -7.18517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - 2. Suppose -4*s + 3*c = -244, 0 = -s + c + o + 58. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*52\/1638)\/(2\/(-30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:29 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58489374 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Let k = -1.9 + 7.9. Let p = j - k. Is 2 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429.\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*m + 17, 4*m - 3*g + 2*g + 13 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(69\/(-24) - -1*3). Suppose 0 = w - z + 4. Suppose -7*x + w*x = -21. Solve 5*k = -x + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u**4 + 0*u**3 + 2 + 0*u**5 + 5\/2*u**2 + 0*u + 2\/3*u**6. What is the second derivative of k(n) wrt n?\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8123 = -28*x - 1571. Suppose -j - 26 = -2*j. Calculate the greatest common divisor of x and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.12 + 0.18. Let r = 0.9 + w. Let d = -0.2 + r. What is the second biggest value in 1, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 70*s. Let o(f) = 29*f**2. What is b(o(z))?\nAnswer: 2030*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12000211 (base 3) to base 6\nAnswer: 24551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**3*u)\/u)**(3\/38))**(10\/3)*((u**(-6)*u)\/(u*u**6))\/((u\/(u\/(u**1*u)))\/u**5) assuming u is positive.\nAnswer: u**(-156\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34061*a**2 + 68054*a**2 - 33995*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + 0 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbngngnn. Give prob of sequence brrg.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 444*s**3 + 22050*s**2 - 374556*s + 352947.\nAnswer: 3*(s - 49)**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*r - 368*r - 289*r - 284*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -39. Solve d + 13 = -f - 3*s, f = 2*s + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {z: 7, a: 12}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -66. Find the third derivative of -8*v**2 - 22*v**2 + 9*v**2 + 16*v**5 - 10*v**h wrt v.\nAnswer: 960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -7*z - 1, 2*z - 5*f - 7 = 6*z. Let q(p) be the first derivative of 1\/10*p**4 + 0*p + z - 1\/5*p**2 + 2\/15*p**3 - 2\/25*p**5. Factor q(g).\nAnswer: -2*g*(g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-16)*2 + (-8 - (-39)\/12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 411774.\nAnswer: -1\/205887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2016\/64)\/(2\/4). Suppose -128 = -5*n + 3*n. Suppose n*l = d*l + 24. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-1 - (-5)\/3). Let p be (0 - 1) + (-9 - -13). Let m = 11 - 8. Solve -k*w - 26 = -4*a, p*a + a - 29 = m*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000229898743 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7022 + 7047. Solve 0 = -c*n + 23*n - 2*d - 4, 4*d + 26 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -340, -5, 5, 3, 0 in increasing order.\nAnswer: -340, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 4*a + 280*a**3 + 0*a**2 + a**2 + 5 - 4. Let k be n(1). Suppose 4*b + b - k = 0. Calculate the greatest common divisor of b and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 60, -5 in increasing order.\nAnswer: -5, 0, 8, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1\/6*r**2 + 4\/3*r - 8\/3 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrgrrrrgrr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 47. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18916301*r**3 + 18915964*r**3 - 37832267*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8304218995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = m - 214200003, -9 - 6 = -5*m. What is n rounded to the nearest 1000000?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 38*s - 3745. Calculate the smallest common multiple of 161 and u(104).\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -268500155\nAnswer: -134250077.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 256975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2806 divided by 4?\nAnswer: -1403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 220906.7 micrometers?\nAnswer: 220.9067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1192.\nAnswer: -4768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17766806, 17766808, 17766804, 17766788, 17766754, 17766696, 17766608, 17766484?\n\"Answer: -d**3 + 3*d**2 + 17766804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -9) + (-6 - (-1 - -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17393*g*o**2 - g*o - 14*g - 1618*o**2 - 38806*o - 11 wrt o.\nAnswer: -34786*g - 3236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8338\/103441 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -302?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 0*l - 2*l - 2 + 5*l**2 + 0. Let i be x(-2). Let y(m) = 4*m. Let r(a) = 2*a + 2. Let u(j) = 3*r(j) - 2*y(j). Calculate u(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = -41*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 208*j**2 + 2*j - 1. Let y(c) = c - 17. Let d be y(18). What is the units digit of r(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000630406235 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Suppose -7*r + 16 = 2. Suppose 4*c = 69 + 231. Let y(m) = 0*m**r - c + m + 11*m**2 + 75. Calculate y(a(f)).\nAnswer: 44*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2\/2 + 3. Let y(p) be the third derivative of -p**5\/30 + 5*p**2. Calculate t(y(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 5*m - 6. Let o be u(-3). Let s be o\/(-5) + 24\/60. Suppose -s*g + 230 = w, 5*g - 1 + 6 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -126 (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-87) - (140\/(-290))\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/10 and 91\/5727766?\nAnswer: 28638830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9637, 19268, 28895, 38518, 48137, 57752?\nAnswer: 67363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = -4. Let x be ((-12)\/(-15))\/(d\/(-5)). Solve -4*r = -3*r + x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*w + 14. List the prime factors of w - ((7 - 2) + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 * 0.389\nAnswer: -64.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/23780 and -3\/95120.\nAnswer: 95120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**7\/630 + 8*x**6\/45 - 31*x**5\/30 - 71*x**4\/3 + 5*x - 5. Let i(t) be the third derivative of p(t). Factor i(o).\nAnswer: -4*(o - 31)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -342*o**4\/7 + 1466*o**3\/7 - 248*o**2 + 296*o\/7 + 96\/7 = 0. Calculate o.\nAnswer: -3\/19, 4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 72354376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9 - 1\/(-3). Let k be 1 - (g - 1*68). Suppose -97*n = -114*n + 1734. What is the greatest common factor of k and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265 - h - 46 + 501.\nAnswer: -h + 1720","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11009112 divided by 582\nAnswer: 18916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 1035 = 14*m. Let z be (m - -39) + 26\/4. Let x = -7 + 10. What is the second smallest value in z, 2\/13, x, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:58 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.04 + 0.04. Let q = 0.73 - -5.87. Let v = q - c. What is v rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -10 - -8)\/(3 - 1). Is 1 + (9651 - (-1 + (-2)\/b)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u + 353*u + 381 = -71*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 295.5 and 403104846.\nAnswer: 403105141.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5373 is divided by 670.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 99396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**2 + 0*m - 3\/100*m**5 + 3\/5*m**3 + 0 + 7\/40*m**4. Let p(k) = 0. What is k?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-260)\/66*(3101 + -3107). What is s in 6\/11*s**2 - o*s + 86\/11 = 0?\nAnswer: 1\/3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98895390 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00234 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3987)\/15*5\/11. Let r = -121 - o. Suppose 2*t - 2 = 4. Put -3\/4, r, t in descending order.\nAnswer: t, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-8 + 2)) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 745103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from {j: 4, n: 1, v: 2, r: 1, s: 3, d: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8820 = 2*t, -4*t + 350*z - 353*z + 17658 = 0. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -3 (c) -17\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and 7206125?\nAnswer: 1801531.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 390138355 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2236507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 891 divide 4562798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110111101 - 11?\nAnswer: 100110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 0, -1, -610685 in decreasing order.\nAnswer: 7, 0, -1, -4, -610685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = 80*k + 1522 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3288\/24)\/((-2)\/(-4)). Let b = 320 - g. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from {c: 2, k: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, -14, -191?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 193222436 + 0\nAnswer: 193222436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66196 and 2561.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232.3 + -232.2999997062. Round n to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122789*f**2*v**2 - f**2 - 11*f*v**2 + f - 2371150*v wrt v?\nAnswer: -245578*f**2 - 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21.4, 34654, -0.5, 2\/3, 2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/9)*a**(-2\/29))**(-4\/9) assuming a is positive.\nAnswer: a**(-1204\/2349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -7.4022.\nAnswer: -7.4022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) -1141.558 (c) -0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44706.\nAnswer: 2, 3, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3.4. Let r = o - -0.2. Let j = -6 + 8. Is r at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/593 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.7. Let c = -22 + 43. Let a = c + -22. What is the nearest to 1 in z, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:30 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*b - 383, b - 3*b + 3*v + 143 = 0. Suppose 4*d - b = -0*d. Let m = 90 + d. What are the prime factors of m?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 633\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = -88. Suppose -7*p - h = -9*p. Is p\/2 - 5 - -270 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 21256368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -2*d, 4*d = -2*j + 13 - 1. Suppose 4*k + 8 = 4, -m - 202 = -5*k. Let p = m - -207. Put p, j, 2, -9 in increasing order.\nAnswer: -9, p, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8894 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35143548 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14666 - s + 14666. Let a(n) = -109*n - 15. Determine f(a(l)).\nAnswer: 109*l + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 6*h - 3*h - 2*l, -4*h + 4*l - 24 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2221221112?\nAnswer: -2221221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 19 - 31, -2*l = 5*p - 38. Solve -3*b + 20 = 4*k + 21, 0 = 3*k - l*b + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-106)\/371*(-5)\/20.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5 - 4 - 6 + w. Give t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)\/(g\/(g**(2\/7)*g)*g*g)*(g\/(g*g*g*g**(2\/7)*g)*g)\/g*g**(1\/2)*((g**0\/g*g)**(-1))**11 assuming g is positive.\nAnswer: g**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17952 is divided by 189?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5 = 5*u, -24*u + 27*u + j = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192))**2 + ((sqrt(144)\/sqrt(4))\/sqrt(12))**2 - (-3 + ((sqrt(132)*-4)\/sqrt(11))**2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 0*x)*(0*x + 4*x - 3*x + (-2*x + 1 - 1)*(-1 + 3 - 4) + 2*x - x + x)*(1 - x - 1).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011112 - 222102112?\nAnswer: -220021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 43 = -2*p, 4*p + 3*x = 2*p + 33. Let m = 31 - p. Suppose 6*r = m*r + 67. What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = -1. Suppose -b*n - 2 = -2*l + 6, -3*n = 4*l - 16. Suppose l*p - 2*z = p, 4*p + z - 11 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333\/20 + -87\/5. Which is the third smallest value? (a) g (b) 1 (c) -5\/3 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -33.62. Let p = -4.72 + r. Let k = -0.9 + p. Which is greater: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 404 + -400. What is the fourth smallest value in 7, 2\/11, v, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -370 - 374 - 365 + 6*y + 1114 in the form i + q*y and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/12)\/(6\/4). Which is the closest to v? (a) -2\/7 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -729615 + 729619. Let b(t) = -t**2 - 1. Let c be b(-2). Let f be (0 - 3)*2\/4. What is the third smallest value in o, c, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 170.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 4*m - 882*m**2 + 492*m**2 + 616*m**2.\nAnswer: 226*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 637512040.3 rounded to the nearest one million?\nAnswer: 638000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54865448 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 34*m**2 + 8*m - 2. What is the least common multiple of 2 and k(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-24)*-3 + (-9)\/(-4). Let y = 49 + -25. Suppose -2*w = -r*w + y. Solve 12 = 4*b - w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by ((-3)\/(-3))\/(((-1)\/42)\/(-1)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10303121 (base 4) to base 12.\nAnswer: -b475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 + -7 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88813051?\nAnswer: 23, 29, 133153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209257181 - -0.064?\nAnswer: 209257181.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*o**3 + 12100\/7 + 11880\/7*o - 219\/7*o**2.\nAnswer: (o - 110)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -5.35092?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 + 17 = 0. Let q be -2*1\/2*c. Factor -4*t**2 - 2*t**2 - 3*t**q + 0*t**2.\nAnswer: -3*t**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33773478 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4846 is divided by 1179.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, b: 2, d: 2}. What is prob of picking 1 b and 2 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 - 37 + 37 + (0 - l**2 + 0)*(4 - 1 - 1) - 4 - l**2 + 4.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1178 by 2.\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((27\/(-60))\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106723283?\nAnswer: 106723283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-41559)\/((-56)\/(-8))*-3 - -2?\nAnswer: 47, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*r = 8 - 24, 0 = 4*m + 5*r - 24. Let t be m*(-5)\/(15\/(-24)). Suppose w - 2 = 0, -2*y + t + 20 = -2*w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 11*w**2 + 17*w - 52. Let v = -44 + 72. Let p be v\/42 + (-19)\/(-3). Is j(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -9 - (-101 - -74).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 + 24896*o**2 + 950380*o + 9042328 = 0. What is o?\nAnswer: -19, 6262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:21 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17582 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 371183 and 8599651?\nAnswer: 3469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwgxwggxww. Give prob of picking 1 x, 1 g, and 1 w.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(432) - (sqrt(432) - (1 + sqrt(432) + 0))) - -2*(sqrt(432) + -2 + (sqrt(432) - -2*sqrt(432)) + sqrt(432)))**2.\nAnswer: -1584*sqrt(3) + 52308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4*(49 + 487). Find the first derivative of 329 + 118*c - u - 150 wrt c.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2790 - 4203 = -21*y. Let m(f) = 11*f**2 - 3*f + 1. Let h be m(1). What is the greatest common divisor of h and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 731055 or 731057?\nAnswer: 731057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -99 - 77. Suppose 0 = -2*x + 4 + b. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 287 - 296 - (30 + -4)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 44 - 2*j**3 + j - 44. Let s(q) = 4*q**3 - q. Let u be (2 + -9 - 0)*(-64)\/224. What is u*s(w) + 5*t(w)?\nAnswer: -2*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, 3, -4, -2\/11 in decreasing order.\nAnswer: 3, -2\/11, -3.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 31585*w**3 - 31588*w**3 - 3 + 45*w**4 + 0 to the form p + l*w**4 + j*w**2 + k*w + v*w**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a hour?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gect when four letters picked without replacement from {j: 4, e: 1, t: 4, r: 2, c: 2, g: 2}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/8)\/((-2100)\/(-2400)))\/((-6)\/(-315))?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1397 - 2819 + 1390)*((3 - s - 3)*(4 - 4 - 1) + (3*s - 4*s - 2*s)*(1 + 2 - 1) - 3*s + 0*s - 4*s) in the form d*s + k and give d.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552 + 571 - (-37 + 10 - -11).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.249204 to 2 decimal places.\nAnswer: -19.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*i**2 + 180*i - 441*i**3 - 16*i**2 - 2*i**5 + 10 - 198*i + 51*i**2 - 16*i**2 wrt i?\nAnswer: -40*i**3 - 2646*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34130000 to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.1, -837?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + 2*l + 2. Let h be y(1). What is the remainder when 79 is divided by (-1 - 2\/(-4))\/(h\/(-144))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23072601 (base 8) to base 10\nAnswer: -5010817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 147*i**2 - 1423*i - 197. Determine w(62).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(1 - -2 - 4). Suppose 0 = s - g*s + 6. Find the third derivative of -5*v**4 - 9*v**4 + v**4 - 4*v**s + 5*v**4 wrt v.\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8363943641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2 - 7*x + 2. Let g be s(-1). Find y, given that 1\/5*y**2 - 9\/5 + g*y = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2 + 2*d - 5*d - 10. Let f = 2377 - 2382. Let t be r(f). What is the highest common divisor of 49 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 11 - 12 + 12*w - 2*w + 0*w + 4*w + 2*w - w - 2*w + 2*w - 1 + 1 + (w - w - 2*w)*(1 + 1 - 3).\nAnswer: 14*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmm when four letters picked without replacement from {b: 5, m: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*a - 4 - 5, -2*q + 9 = -a. Let g be 4\/16*4*(0 - 1). Put g, q, 3 in ascending order.\nAnswer: g, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 28*g**2 + 29*g + 56. Let v be x(-27). What is the greatest common factor of 68 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.5, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/60 + t**4\/8 + t**3\/2 - t**2. Let v = 466 + -480. Let q(o) = 4*o**2 - 14*o - 14. Calculate v*d(a) - 3*q(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from oxoox?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2395*j**3 - 2*j**2 + 2*j - 1. Let o be t(1). Let y be ((-1)\/3)\/((-21)\/o). What is the tens digit of 1*-4 + (y - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -224*y**4 + 310*y**3 - 5*y - 6742523 with respect to y.\nAnswer: -896*y**3 + 930*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-7) - (-4)\/14. Let b be 474\/1185 + (-1 - (-9553)\/5). Let f(c) = -7*c - 1905 + 14*c - c**2 + b. Give f(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**2. Let y(s) be the second derivative of -s**7\/840 - 5*s**4\/4 + 12*s. Let t(u) be the third derivative of y(u). What is q(t(v))?\nAnswer: 81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 11) to base 10\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 0.1. Suppose -9*t + 120 = t. Let i be t\/(5 - 1)*(-4)\/(-42). Is f smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*m + 9*m + 2 - 11*m as f + u*m and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - k + 0 + k**3 + 3*k + 3. Let n be z(-2). Let c = n - 5. What is the second biggest value in -0.1, c, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 16168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00614174 to five decimal places.\nAnswer: -0.00614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 21 = 5*f. Let s(u) = 2*u. Let h be s(1). Suppose 4*c = -2*v + 8, h*v - 4*v = 2*c - 6. Calculate the remainder when f is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2\/8 - 675*j\/8 - 1971\/4 = 0. Calculate j.\nAnswer: -219, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 5811?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 - 3*i**2\/2 + 3*i. Differentiate m(l) with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 29*u**3\/3 - 45*u**2\/2 - 9. Find the second derivative of x(a) wrt a.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 3338*k - 2209664.\nAnswer: (k - 3904)*(k + 566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 50. Suppose 5*s + w = 9. Solve 17 = -4*l + s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -21*j**2 + 115*j + 16. What is x(5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 9 - 6*f + 6 + 9 - 14*f**2 + 0 - f**3. Let u be h(-13). Put 1, u, -3, 94 in decreasing order.\nAnswer: 94, 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 - (1 + -1) - -4. What is the highest common divisor of u and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -371*u**3 - 3*u**2 + 311*u + 619. Determine y(-2).\nAnswer: 2953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 633 + 213. Solve 0 = -v + 24 - x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590 - b**2 - 83*b**3 - 113*b**3 + 645*b**3 + 514*b**3 wrt b?\nAnswer: 5778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-16) - -1)*0. Suppose -2*b = -5*u + 44, -2*b - 4 = -q. Let v be (33\/u - 3)*-4. Which is greater: v or -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - (0 + 14)) + 0)*336\/(-448). Solve -150 = 41*p + a*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8083\/17 or 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let l(n) = -9*n**2. Let r(y) = -2*y**2. Let w(x) = 4*l(x) - 22*r(x). Calculate w(g(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((396\/55)\/6)\/(3\/(-230)). Which is bigger: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 1:42 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/((n*n**(2\/13)\/n*n)\/n))\/((n*n**2\/n)\/((n**(-6)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(4\/(-14)*1). Let m = -13 + f. Is ((-58)\/m)\/((-3)\/12) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 11:21 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -141, -261, -361, -435, -477, -481, -441?\n\"Answer: g**3 + 4*g**2 - 139*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4863425062957 + 0.2.\nAnswer: -4863425062956.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.74 + -11. Let g = s - -1.26. Which is the biggest value? (a) -1 (b) g (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 84*o**2 - 166*o - 378. Determine q(-82).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b**3 + b**2 + b - 1. Let a be r(1). Let o = -445 - -473. Calculate the greatest common divisor of o and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736951 is divided by 115788.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1393.902 minutes to days.\nAnswer: 0.9679875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/556 and -59\/10?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v + v + 1)*(1001076*v**3 - 2002178*v**3 + 1001310*v**3 + 57*v**2).\nAnswer: -208*v**4 + 151*v**3 + 57*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and 485344970?\nAnswer: 485344970.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/275*-10*(-2)\/(-42)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -397, -417, -437, -457?\n\"Answer: -20*t - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 + 3*i**2 + 23 - 101*i + 88*i. Determine h(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8427*s**2 + 244*s*y + 44*s + 690*y + 420551 wrt s.\nAnswer: 16854*s + 244*y + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 14*x - 8. Let f be l(-8). Suppose f*y + 10 - 34 = 0. Calculate the remainder when 8 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*i - 71*i**2 - 168*i - 62*i**2 - 377*i - 118*i**2 wrt i.\nAnswer: -502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -649131 + 649131 + 4359*m + (2*m - m + m)*(-2 + 3 + 0) + 4*m - m + 0*m to the form u + l*m and give l.\nAnswer: 4364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**21\/n**(-4\/3))\/(n**(-2\/23)\/(n*n**(3\/14))) assuming n is positive.\nAnswer: n**(22831\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49873 + 10.0072.\nAnswer: -49862.9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-692)\/(-220))*135\/(-324). Which is the second biggest value? (a) s (b) -4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6913764 and -145\/1188.\nAnswer: 20741292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*((-22)\/(-4) - 4). Suppose 8*y = j*y + 906. Let o be 4\/(-10) + y\/(-15). Calculate the greatest common factor of 40 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12361 - -8091. What is b rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 4) in base 12?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150913?\nAnswer: 7, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*i*l**2*p**2*s - 3*i*l**2*p**2 - 76*i*l + i*p**2*s - 2*l**2 wrt s.\nAnswer: 14*i*l**2*p**2 + i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/35)\/(2\/10). Suppose 6797 = 2*k - p, 5*k - 16999 = -0*p - r*p. Let d = -2420 + k. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -470, -16, 0, 9 in descending order.\nAnswer: 9, 0, -16, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116671 - 15166889\/130. Let u = z - 3\/130. Suppose -6\/5*h**3 - 1\/5 - 8\/5*h - u*h**2 = 0. Calculate h.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -475428, -950843, -1426258, -1901673, -2377088, -2852503?\n\"Answer: -475415*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62672*l - 62652*l = -520 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**2*z**3 + 11*a**2*z**2 + 2337*a*z + 930*z**3 wrt z.\nAnswer: -18*a**2 + 5580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let k(l) = 1581*l + 1. Calculate a(k(f)).\nAnswer: 3162*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235 - 223. Let z(q) = -q**2 + 24*q + 17. Is z(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*c. Suppose -8 = 4*s, 5*v - 16 = -3*s + 33. Calculate the remainder when v is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 4. Let b be a(3). Suppose 3*w - 2*r = 14, 4*w = -b*r - 3*r + 11. What is the remainder when (3 - w)\/1 + 50 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose 2*h - 4 = z, 0 = -x + 3*x + 5*h - 20. Find the third derivative of k**2 + 0*k**6 + x*k**2 - k**2 + 2*k**6 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 3*h + 2*h + 0*h**4 - 3*h**4 + 1 + 2*h**4 to the form v*h + a*h**3 + m + p*h**2 + u*h**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbvbbbbbbbbbbb. What is prob of picking 3 b?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2231, 2252, 2285, 2330, 2387?\n\"Answer: 6*r**2 + 3*r + 2222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191435781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/160*16\/(-6)*150\/(-20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710126715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(28) + (-3*sqrt(28) - sqrt(28)))*-1.\nAnswer: 3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.5 + -4. Let q = o - -0.5. Let x = -2.5 + 3. Which is the nearest to q? (a) 1 (b) -2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.1 + -14.05. Which is the biggest value? (a) -3\/5 (b) z (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 6*c = -2*c - 252 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p + 3*w - 4, p = 2*w - 6. Let g(u) = u**2 - 2*u**2 + 0*u**p + 2*u**2. Let m(k) = 3*k**2. What is g(m(a))?\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssyn when four letters picked without replacement from nsysynynssnnssnnss.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17689369 to the power of 1\/2, to the nearest integer?\nAnswer: 4206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**3 + 17*m**2 + 4*m + 8. Let l(f) = 6*f**3 + 16*f**2 + 4*f + 8. Let i(s) = 6*l(s) - 5*y(s). What is the hundreds digit of i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 + 87*p + 5. Let b(r) = 2*r**3 - 4*r**2 + 130*r + 7. What is 5*b(n) - 7*t(n)?\nAnswer: 3*n**3 + n**2 + 41*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(-2*r + 5*r - 4*r)*((0 - 3 + 4)*(-4 + 6 - 3) + 3 - 3 + 2)*(146*r**2 + 10*r**3 - 146*r**2).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(475) - ((2*sqrt(475) - sqrt(475)) + -3 - sqrt(475))))**2 - (-4*sqrt(475)*2 - (-4 + sqrt(475) + 1)).\nAnswer: 165*sqrt(19) + 1933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608990608 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -52515612\nAnswer: 525156120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.743728 litres to millilitres.\nAnswer: 1743.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2070251, -4140500, -6210749, -8280998, -10351247?\n\"Answer: -2070249*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -11*t**5\/4 - 28*t**4 + 13*t**3\/4 + 949*t**2\/2 + 526*t + 80 = 0.\nAnswer: -8, -5, -1, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 5.\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2*u + 14, 43*h - 49 = 47*h - 3*u for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) 0.5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) -4292 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 28*j**2 - 529*j - 6915. Calculate r(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 20*n**3 + 6*n**2 - 8*n - 2. Let h be u(2). Let l = h - 139. What is the remainder when 63 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 12*y + 9. Let k be u(-12). Let r be (-10)\/45 - (-2)\/k. Let z = 0.1 - 0.2. What is the second smallest value in 2, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 7*b**2 + 10*b - 2. Let z be c(-9). Let w be (6\/5)\/(21\/z). What is the third derivative of -3*m**w - 2*m**2 + 5*m**4 + m**4 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0064180507 to five dps.\nAnswer: 0.00642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-12\/17)\/(y**(-10)\/(y*y**(7\/2)*y*y)) assuming y is positive.\nAnswer: y**(609\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 + 14)\/(178 - 158). Suppose -79507\/5 - 129\/5*u**2 + p*u**3 + 5547\/5*u = 0. What is u?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-279)\/(-21) - 2\/7. Suppose -b - 7 = -2*w, -w - 2*w + 4*b + a = 0. Let x(h) = 2*h**2 + w + 5*h - 3*h**2 - 3*h - h**3. Determine x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2 - 2 + (2*z + 2 - 2)*(2*z - 4*z + 4*z))*(-z**3 + 2 - 2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*75\/60 - (17 - (-10340)\/(-380))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 5*t**2 + 26*t**2)*(-1 - 1 - 2 + (2 - 4 + 4)*(4 + 1 - 4)) + 8*t - 8*t + 3*t**2.\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = -0*w. Let n(t) = w - 21*t + 5*t + 9*t. Let g(o) = 2*o**2. Determine g(n(f)).\nAnswer: 98*f**2 - 28*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 2*p**3 - 4*p**3)*(12 - 6 - 8).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1515 and 459252252.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*i - 16*i - 32*i + 170*i)*(-2*i - 2*i + 0*i) as x*i**2 + v*i + d and give x.\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-39 + 10 + 21 + 15)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2300 is divided by 177.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20414 + 2452?\nAnswer: 23310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((sqrt(28)\/sqrt(2))\/sqrt(2)) - 2*(sqrt(63) - sqrt(63)*-2)**2.\nAnswer: -1134 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-69255)\/567 - -122)\/(5\/(-7) + 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 2*t + 1 + 7 + 12, -31*g + 3*t - 633 + 296 = 578 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 35 - 5*b**2 + 3*b + 362*b**3 + 5*b - 84*b**3. Let p be r(23). Round p to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 - 2 = 17*s + 56 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228 * -0.9.\nAnswer: -205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 1 = -23, -4*o - 63 = 4*h + h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347511 is divided by 69088.\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v. Let d(t) = -49*t. What is r(d(o))?\nAnswer: -196*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 - 5. Let c(l) be the first derivative of -l**3\/3 + l - 67. What is a(z) + 5*c(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 + 76\/(-18). Let h(x) = x**2 + 3*x - 1. Let b be h(q). Suppose -b*g = -4*g + 2. Solve -g*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus 1685951?\nAnswer: 1685931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 729, 717, 701, 681, 657, 629?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1075*x - 36. Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2408 = 7*p - 1155. What is the remainder when p is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -55. Let n = -24 + 26. Calculate the lowest common multiple of h and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3168524 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeeeeeeaee. Give prob of picking 2 a and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qss when three letters picked without replacement from sqjzn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 3*z + 8. Let c(f) = 5*f**2 - 5*f - 16. Let p(t) = 6*c(t) + 14*k(t). Is 52 a factor of p(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, and 2 h when four letters picked without replacement from {h: 3, y: 1, b: 2, z: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-28))\/(188\/(-376))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13*p - 85. Give j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -915 + 193977\/212. Calculate the common denominator of a and 107\/6.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-216)\/(-30))\/((-1)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 19*d**2 + 19*d - 8. Calculate z(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 7*z**6\/1800 + 19*z**5\/600 - z**4\/20 + 2*z**3 + 2. Let h(u) be the third derivative of m(u). Find s such that h(s) = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 5 - 17. Is 688 + z + 3 - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:48 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(1\/3)\/f))**35 assuming f is positive.\nAnswer: f**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -5, -9, -13, -17?\n\"Answer: -4*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62158 - -91?\nAnswer: 62249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - 1 - 90\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18001 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxtxzztxzz. What is prob of sequence txxz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69\/34 - -60\/17. Let p(k) be the second derivative of 0 - 4*k + 3\/2*k**3 + w*k**2 - k**4. Let p(z) = 0. What is z?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545653913 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 15*i**2 - 22*i - 14. Let p be y(-6). Suppose 968*a = 978*a - p. Let j be 19\/4 - (-2)\/8. Solve h - 14 = 2*z, j*z + 4 + a = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*k**2*l - 16*k**2 + 92*k*l + 2*k + 2*l + 1 wrt l?\nAnswer: 13*k**2 + 92*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 117574042 and 0.5.\nAnswer: 117574042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -79.\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-200)\/(-925))\/(-8))\/(3\/(-3))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 13, 27, 41, 55, 69?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 11*k**2 + 4*k**2 - 246*k.\nAnswer: k**2 - 246*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 361314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 141*o - 144*o. Let b be (100\/o)\/((-5)\/(-6)). Solve -6*z + 3*z = b*h - 27, -4*z - 2*h = -26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16440583.\nAnswer: 16440583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/10)\/((-2408)\/(-3440))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + (-267)\/12. Let t = f + 22. Let u(z) = 3*z + 33. What is the tens digit of u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 5:16 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(-2 + 2 + 2*j) + (-2*j - j - j)*(8 + 1 + 2) to the form i + o*j and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 283, -5.\nAnswer: -16, -5, 5, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -541*z - 538*z + 1077*z. Let x(g) be the third derivative of 0*g + 0*g**3 - 1\/6*g**4 + 5*g**2 + 0. Calculate l(x(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6789, -2, -1 in ascending order.\nAnswer: -6789, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10263*j**2 - 41061*j + 36 = 0. What is j?\nAnswer: 3\/3421, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1104 and -81.2619.\nAnswer: 89713.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 15\/(-9)*3. Suppose 4*b - 12 = -4*u, 0*u + u - j = b. Let f(t) = -t**2 + t + 45. Let x be f(-6). Sort 1, b, x.\nAnswer: b, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122200 + 21100?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -0.42. Let o = -1 + -4. What is the third smallest value in g, -1, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 86*v - 1117. Let u be h(70). Determine s, given that 8\/5*s - 6\/5*s**u + 32\/5 - 16\/5*s**2 = 0.\nAnswer: -2, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 + 278*i + 97. What is y(-18)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32615020 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (1 - 2\/2). Suppose 149*s + 18 = 155*s. Find the third derivative of -8*l**2 + l**s - l**2 - l**3 - 17*l**h wrt l.\nAnswer: -408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184573133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1238\/7, -0.4, -0.06, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g**3 + 7*g**3 - 16*g**3 + (-2*g + 0*g + 0*g)*(-2*g**2 + g**2 - g**2) + 2*g**3 - g**3 + g**3 to the form t*g + z*g**3 + h + p*g**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/3*(5 - 4). Let v be (25\/(-2))\/(o\/2). What is the highest common factor of v and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -6)\/(8\/(-2)). Let b(z) = -z**2 + 3*z + 7. Let f be b(4). Suppose -4*p = l, -5*p + 37 - 4 = f*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1754 - 88 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 3476*m - 13936.\nAnswer: 2*(m - 1742)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 199, 232, 269?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - w + 6. Suppose 5*s + 2*m + 13 = 0, 6*s - 3*s + 4*m + 5 = 0. Let n be y(s). Solve n - 4 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -1, 27, -5, 0.0334?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/6))\/(u\/u**(-2\/9)*u)*(u*u**(2\/3)*u)**(21\/2) assuming u is positive.\nAnswer: u**(479\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 0, -2*a - 376 = 5*y. Let k = 192 + a. Determine r, given that 7\/2*r - k + 1\/2*r**2 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + 1 - 9*7\/21. Suppose -14 = -2*m + 2*t + k, -m = 3*t - 2. Are 9 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1179584 and 43\/68458.\nAnswer: 15334592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/11 and -2\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 96*s**7\/7 + 70*s**6\/3 - 13*s**5\/4 - 35*s**4\/8 + 5*s**3\/3 + 3*s**2 - 10*s. Determine r, given that t(r) = 0.\nAnswer: -1, -2\/9, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (141\/(-846))\/(6\/(-9)*-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004881606378 to four dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o. Let t be d(-1). Let z(n) = 2*n - 4. Let b(x) = -2 - 24973*x - 25012*x + 49986*x. Determine t*b(r) - 3*z(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707997*-0.085.\nAnswer: -60179.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3960832.27 to the nearest 10000.\nAnswer: -3960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times -0.1?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11020112020 (base 3) to base 15\nAnswer: 19b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5237 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 + -235. Suppose -40*l + 37*l + 5*i + 95 = 0, o = 4*l + 4*i - 84. What is the least common multiple of 30 and l?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**5 - 93648*d**4 - 1403868*d**3 - 1122944*d**2 + 2620464*d = 0.\nAnswer: -23397, -14, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(3\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmmmnnmnmnmnmnm. What is prob of sequence nnm?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001213854 to 6 dps.\nAnswer: 0.001214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 4030?\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6112\/2292 + 4\/(-6)*4. Which is the third smallest value? (a) 736 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16456\/(-1210) + 13 + 0 + 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 1658622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1805)\/(-420))\/(-19) + 1\/4. Let c(s) be the second derivative of 0 - 1\/12*s**4 + 0*s**3 - 26*s + 3\/20*s**5 + 1\/8*s**6 + 0*s**2 + z*s**7. Factor c(l).\nAnswer: l**2*(l + 2)**2*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 227161, 227645, 228453, 229585, 231041, 232821, 234925?\n\"Answer: 162*u**2 - 2*u + 227001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-18) - 6120\/(-1377). Solve -3*v - z*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(847) - (0 + sqrt(847))*-6).\nAnswer: -308*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 4, 0, -2, -7062 in decreasing order.\nAnswer: 5, 4, 2, 0, -2, -7062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.5. Let r = -182 - -908\/5. Which is the nearest to r? (a) -0.5 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(8)*1 + 2 + 4 + -5)*-2)**2.\nAnswer: -64*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/3)*w)**(1\/3) assuming w is positive.\nAnswer: w**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 6*b**2 + 31. Let g be l(5). Let x(j) = -15*j - 23. Let t(p) = 7*p + 11. What is g*x(h) + 13*t(h)?\nAnswer: h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-22))**(-8)*(i**(2\/39))**(-15) assuming i is positive.\nAnswer: i**(2278\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -132*s**2 + 18872*s + 577. Determine h(143).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.906 less than 14902875?\nAnswer: 14902903.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.2. Let i = -12.8 + -0.2. Let n = i + 12.5. What is the nearest to p in n, -2\/15, -3\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + l - 4, -1 + 3 = l. Suppose 36 = -2*z + 6*z + 4*g, -3*g + 7 = -v*z. Solve 29 = 5*j + k, z*k = -3*j - 14 + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.371 and -7.17.\nAnswer: -6.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42660 = 560*v + 8*v - 10377 - 9443 for v.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35141.\nAnswer: 35141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15419 + -26581. What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 152287 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 654\/(-54))*(0 - (-6)\/(-7))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a2 (base 16) to base 13.\nAnswer: 26a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 12*n - 10*n)*(-1 - 4 + 4 + n**4).\nAnswer: -14*n**5 + 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + ((-106165)\/15 - 3). Let h be 16 + w + 1\/((-1)\/(-3)). Let g = h - -1862. What is g rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 9, -132, 0 in decreasing order.\nAnswer: 9, 5, 0, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 6)*(20*p + 3*p - 2*p)*(-2 - 4 + 28) in the form y + j*p and give j.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*6\/16*8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -36*b - 4. Let r be 9*6\/(-6) + 9. Give x(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28))**2*-6 + 0.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q + 3*m - 310 = 59*q, m + 4 = 0. Calculate the greatest common divisor of 92 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**2. Let l(n) be the second derivative of n**4\/6 + 5*n**2 - 236*n. Give y(l(q)).\nAnswer: -24*q**4 - 240*q**2 - 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68802?\nAnswer: 2, 3, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 76?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 - -114567.8.\nAnswer: 114568.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101 (base 2) to base 7.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-150)\/18) - (-23)\/5. Suppose -j*f = y - 551, -y + 2717 = 4*y + f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.605 take away 126879677?\nAnswer: -126879675.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d\/(d**(-4)\/d))*d)\/d)*d)\/(d**6\/d*d))\/(d**10*d**(-2\/11)*d) assuming d is positive.\nAnswer: d**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*w - 4*f, -4*w + 5 + 10 = f. Let o be 20\/10 - (-6 + 4)\/(-2). Let j(r) = -8*r + r**2 - o + r - 9*r + 12*r. Determine j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6343+-35021265\nAnswer: -35027608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 + 166 - 166 + 20084*n**2 + 52*n - 20084*n**2.\nAnswer: -5*n**3 + 52*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 799025 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + d + 28 = 0, -15*z - 2*d - 38 = -10*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4222475*d**2 - 3129552*d wrt d.\nAnswer: 8444950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5)\/(4\/(20\/1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 962305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 12) in base 10?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d - 19. Let v be x(8). Let m be (30\/7)\/((-4)\/28). Let y = v + m. Calculate the greatest common factor of 49 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-315)\/(-175)*(-15)\/9 - (-23162 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90601308.655947 plus -3?\nAnswer: -90601311.655947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 428789704 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (32\/96)\/(2 - (-5)\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 2 + 1 - 2. Let l be 938\/182 + z\/13. Find the third derivative of -a**5 - a**2 - 6*a**2 - 3*a**l wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -c + 25, 2*n - 26 = -2*c. Solve -11*a + 20*a - c = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9944229 and 595.\nAnswer: 594.0055771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 3*v**2 + 4*v + 3. Let h be p(4). Let j(k) = -k**2 - 4*k + 4. Let a be j(-4). Put 5, h, a in ascending order.\nAnswer: h, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - -3) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227785\/7 - -32426. Let h = 115 + z. Let u be ((-1)\/(-12))\/(3\/9). Which is the closest to h? (a) -1\/7 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20222841277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*w + 27*w - 16*w + (2 - 6 + 2)*(2*w - 3 + 3).\nAnswer: 53*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}