diff --git "a/data/dm_maths/full_data_2/2267_11255.jsonl" "b/data/dm_maths/full_data_2/2267_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2267_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w be (-20)\/(-10) - 13*-1. Solve -r = 2*r + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117)*-1 - sqrt(117)))\/(sqrt(90)\/(-2*sqrt(10))).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2476\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13049 + -13049.1. Let c = -23 + -16. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 926ee3 - -1c?\nAnswer: 927010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, n: 2, l: 1, u: 2, s: 2}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h + 3. Suppose -19*v = 3*v - 22. Let l be 0\/(-7) + 6*v\/2. Let q(d) = -1. Determine l*q(x) + w(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -8*z - 129. Let f = z + -42. Suppose -4*o = -109 - f. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 337768 and 904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n**2 - 720*n + 84 = 0. Calculate n.\nAnswer: 2\/17, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - o + 7 + 0 = 0, -5*m + 3*o = -23. Factor 15*g**4 + m*g + 8*g**2 + 0*g + 5*g**3 - 14*g**4.\nAnswer: g*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 62*v - 43. Give o(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 3:56 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16650\/(-5661)*(2 + 15)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 36*s = -38*s, -2 = 2*i - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -44*(-3 + (-3)\/(-6)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:02 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.205 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (193 + 46 - 127 + 151 + 78)*(-4*k**3 + 0*k**3 + 3*k**3) as b*k**3 + g + d*k**2 + t*k and give b.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 - 5*v - 6. Let q = 1 + 5. Let j be i(q). Solve 15 = 3*r - j*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 15*y = 850. Calculate the greatest common divisor of y and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42470.9 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(833) + 0 - sqrt(833)) + -2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 5. Let h(i) be the third derivative of i**5\/120 - i**4\/8 - i**3\/3 + i**2. Let d(g) be the first derivative of h(g). Determine d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242079 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*j - 4 = 0, -j = 4*t - 0 - 2. Let h = 2 + t. Let n be 1 + (1 - 2 - h - -3). Solve 0 = 2*x + n + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -24*a - 39. Suppose -4*j = -11*j + 35. Let v(y) = -7*y - 11. Let g(f) = j*s(f) - 18*v(f). Let q(u) = -2*u. What is q(g(k))?\nAnswer: -12*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43739*u**3 + 2*u - 2*u + 43747*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*f + 19 - 13 - 7 - f**3 to the form y + t*f**2 + v*f + q*f**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + 18 + 15 + -35.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.815 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 566 - 84. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983570 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 - 47 = 27*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*m + 26 = 0, 2*g - 4*m + 4 = 5*g. Differentiate -2 + v**g - 1 + 5 - 3 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 373, 0.3, 0.2, 0.27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Let p be 4\/(-6)*(v + -5). Suppose -3*f + 8 = -p*i, 2 = 2*f + i - 15. Calculate the least common multiple of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 4:14 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*p**5\/7 + 908*p**4\/7 - 15948*p**3\/7 - 124844*p**2\/7 + 2365536*p\/7 - 666432 = 0. Calculate p.\nAnswer: -89, -13, 7\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -342*i**4 + 6055*i wrt i.\nAnswer: -4104*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17118*g + 102743. Let w be y(6). Let i = 11 - 6. What is the highest common divisor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 13*d**2 + 19*d + 10. Suppose -3*v - 12 = 0, 0 = -3*p + v + 97 + 147. Let t = p + -90. List the prime factors of m(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by 111585?\nAnswer: 57\/37195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4 + 5. Let g = 9 + -13. Let o = g + 4.1. Which is the closest to o? (a) -1 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101101221 (base 3) to base 14.\nAnswer: 1a3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.297, -0.4, 41.7, 4\/5 in descending order.\nAnswer: 41.7, 4\/5, -0.297, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-73)\/219)\/((10\/(-444))\/5). Let j = b + 254. What is the greatest common factor of j and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 j when three letters picked without replacement from ajjtdaaadjjaxjjasdst?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -859*y - 35435. Give o(-34).\nAnswer: -6229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i - 33 = -5*m, 3*i - 16 = -2*m. Suppose 4*v - 2*l + 24 = i*l, -3*v = l + 10. Let r = 1571 - 1574. Put v, r, -1\/4, -5 in decreasing order.\nAnswer: -1\/4, r, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23\/10, 5, 14, 2?\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160279*n**3 - 79762*n**3 - 79945*n**3.\nAnswer: 572*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5315 and 78.\nAnswer: -41.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/(-10) + 9\/15. Suppose -5*j - 2*s = 9, 2*j = -0*j - 3*s - 8. Let a be -4*4\/(-16) - j. Solve p + g = -a*n, 3*n + 3 = -4*p - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 53*m**2 + 3812*m + 40408. Determine d(-59).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 11*i**2 - 10*i. Let u be n(12). Let k be (-4 - (-92)\/u)\/1. Suppose 0*h = -2*h. Which is the smallest value? (a) -2\/3 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**4 + 0*y**5 - y**3 + 0*y**2 - 13*y + 0*y**6 + 0 + 2\/21*y**7. Find the second derivative of s(u) wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2361*z**2 + 2358*z + 3 = 0.\nAnswer: -1\/787, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 423 + -248. What is the remainder when u is divided by 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/15 + y**4\/3 - y**2 - 18*y + 1. Factor j(n).\nAnswer: -2*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - 2*t**4 + 2*t**2 + 2*t - 3*t**4 + 3*t**4 - 4*t**2 as h*t + p*t**2 + n + a*t**4 + d*t**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5744543 - 1471?\nAnswer: 5743052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.98 + 0.02. Let j = y + -2.5. Let i = 509\/2076 - -61\/692. Which is the second smallest value? (a) j (b) 1 (c) i (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003304952575 rounded to six decimal places?\nAnswer: -0.003305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 50 = 6*n. Suppose -n*p + 2462 = -4328. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13 - n + 1.\nAnswer: -n + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24531 - 24391 = -7*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -13 - 8)*1. Let t(d) = -d**3 + 23*d**2 + 6. Let b be t(23). Put 4, s, b in decreasing order.\nAnswer: b, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 73*b + 317. Let w be u(-77). Let n = -15 - -29. Let d(f) = -27 + f**3 + 6 - 5*f + 4*f**2 + n + w. Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*o**3 + 56*o**3 + 74 - 8 + (o - o - 2*o)*(0*o**2 - o**2 - o**2).\nAnswer: 2*o**3 + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - i**2 + i. Let t be (-8)\/3 + (-8)\/(-12). Let v be z(t). Solve v*x + 5 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 18. Let l = c + -8. Suppose 5*a = -5*v + 100, -l*v - 5*a + 80 = -2*v. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 53. Let b(v) = -v**3 - 5*v**2 - 3*v + 4. Let y be b(-4). Suppose k + y*k - s = 0. Solve 2*g - k = 7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -19 - 26. Calculate the remainder when 62 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8053650, 8053656, 8053664, 8053674, 8053686, 8053700?\nAnswer: 8053716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2757*d**3*r + 33*d**2 + d*r - 1 wrt d.\nAnswer: 16542*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iliiizztlt. What is prob of sequence zilz?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/10)*q*q**(-3\/5)*(q**(-1\/6))**(-13) assuming q is positive.\nAnswer: q**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 2*u**3 - 4*u**3)*(3 + 1 - 2) + (-3*u**3 + u**3 + 3*u**3)*(12 + 7 + 1).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 165 times -127\nAnswer: -20955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (64\/32)\/(7\/(819\/18))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1.1 (c) 2\/13 (d) 5 (e) -0.035\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**3 + 13*k. Let l(q) = -6*q - 1 - q**3 - 4*q**3 + 1. Let y(h) = 4*b(h) + 9*l(h). Find the second derivative of y(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161 - -161. Suppose -5*x + 2*z + 16 = 0, -5*z + 3*z = -4. Solve 5*n + x*d + 1 = a, d = -5*n - 3 - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.766526 - 0.09\nAnswer: 0.676526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovklvl. Give prob of picking 1 l and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81a845 + -6?\nAnswer: -81a850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619 + 5344*i + 619.\nAnswer: 5344*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 32*k + 909. Is d(78) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*d + 3 = 0, b - 26 = -b - 5*d. Let 3*w**2 + 2*w**3 + w**b + 0 + 0 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 38 - (-7 - -15) - 0 - (1 - -6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -316, -1037, -2442, -4759, -8216?\nAnswer: -13041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, u: 2}. What is prob of picking 2 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26147302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) - -6*sqrt(96)*-2)\/(sqrt(6)\/(sqrt(6)\/sqrt(3)*-3 + sqrt(2))).\nAnswer: 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 6289640?\nAnswer: 18868920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) + sqrt(392) + sqrt(8)))**2 + sqrt(5) - (sqrt(60) + sqrt(4860) - sqrt(60))\/sqrt(12).\nAnswer: -8*sqrt(5) + 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**4\/6 + 5*l**3\/6 + l**2 - 1364*l. Let u(y) = y**2 + y - 1. Determine n(x) + 2*u(x).\nAnswer: 4*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/3*(26 + -29). Suppose -2*v + a*b = 4*b + 334, 2*b - 165 = v. Let i = v + 256. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5037, -10076, -15119, -20166, -25217?\n\"Answer: -2*y**2 - 5033*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 20, -124\/3 in increasing order.\nAnswer: -124\/3, 1\/4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568779 plus -464660687?\nAnswer: -464091908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 92400 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.6 + 1.6. Let l = w + 12. What is the nearest to 0.1 in -0.1, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 18. Which is the third smallest value? (a) -3\/4 (b) -2\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = p - 3*p + r, 0 = -5*p - r + 37. Calculate the common denominator of 10\/(-75) + p\/(-30) and -26\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163798300*c**4*p - 29*c**2*p + c**2 + c*p - 1096*c - 2*p - 44 wrt c.\nAnswer: -3931159200*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1056 - 221. Let s = m - 831. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*(k**(4\/3)\/k*k)\/k*k*k**(8\/3)\/k assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 smaller than 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6869*p - 31579 + 10526 + 10528 + 6869*p - 5*p**2 + 10525.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 4*t**2 - 3*t + 4. Let f = 448 + -446. Let p be r(f). Suppose w + 5*b = 2 + 11, 0 = 4*w + 3*b - 1. Sort 3, p, 5, w in ascending order.\nAnswer: p, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 25, -4*c + 2*c - 4*i + 74 = 0. Suppose h = -2*h + c. Let v(s) = s**2 - 9*s. Let k be v(h). Which is smaller: -3\/16 or k?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 94 = 6*p - 4*y, 13 = p + 5*y. Let o = -7 - 3. Let q be 22\/o + p\/6. What is the closest to -3 in 3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/(1\/((-8)\/8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/9 + 67664*g**4\/9 + 190812472*g**3\/3 + 254296352*g**2 = 0.\nAnswer: -16914, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42772405.\nAnswer: 5, 13, 31, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/520)\/((-3)\/13)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cddcddcddccdcddddd. Give prob of picking 2 d and 1 c.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9384)\/(-851) + -11)*74 + 26 + -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27)\/((-2)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/3269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h + 17*h**3 - 3*h**2 - 19*h**3 + 4*h + 1 + 2 to j*h + b*h**2 + d*h**3 + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 404 - 6058\/15. Let s = -257 + 239.9. Let y = 17 + s. Which is the second smallest value? (a) y (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Suppose 0 = b + 4*b - 15. Let s(x) be the second derivative of 0*x**2 + 0 + 1\/3*x**b + x. What is s(u(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 - 1.86. Let j = 16.8 - 13. Let s = j + -0.8. Which is the nearest to 1\/4? (a) d (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3980 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6 + 52*r**4 + 50*r**2 - 2*r wrt r?\nAnswer: 120*r**3 + 1248*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 38, 64, 110, 182, 286, 428?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6)\/((-2)\/(-12)). Let p = 18 + -10. Factor -12*s - r*s + 41*s**2 + p - 40*s + 57*s**2.\nAnswer: 2*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**8\/448 + a**7\/2520 - a**4\/3 + 6*a. Let y(k) be the third derivative of t(k). Find the third derivative of y(x) wrt x.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a - 11*a = -74866. What are the prime factors of a?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, z: 1, k: 3}. Give prob of sequence vkk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 141\/(-6) - (-5)\/10. Let m = z + 26. Factor -2*i**2 - 4*i**m - 4 + 6 - 2 - 2*i**4.\nAnswer: -2*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -20*u + 588. Give b(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhhh when four letters picked without replacement from hzhzhhhhzzzzzhzhzzhh?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 2485 - 2485.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 105.027 and -0.3.\nAnswer: 104.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.1.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -29335 at most as big as -39\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1)\/(24\/(-4) - -5). Let x(q) = -q**3 + q - 4. Give x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14848, -14851, -14854, -14857, -14860, -14863?\nAnswer: -14866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(28)\/sqrt(4) - sqrt(7)) + sqrt(49)\/sqrt(700) + -3.\nAnswer: -3 + sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 9*y + 49 + 13 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43797 - 43797. Which is the closest to u? (a) 2\/3 (b) 14 (c) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*h - 42, 3*h + 66 - 24 = 3*i. Suppose 3*u + 3*y = 111, -u + 74 = -4*y + i. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 4*y + 1. Let r be q(-1). Sort r, -12, -3 in descending order.\nAnswer: r, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**3\/15 - 722*u**2\/5 - 260642*u\/5 + 327. Factor s(v).\nAnswer: -2*(v + 361)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 4, c: 4, d: 3, o: 2}. Give prob of sequence ud.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 68 - 1814*s**2 + 169 - 67.\nAnswer: -1814*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3\/(-15) + 46\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**6\/30 - l**4\/4 + 2*l. What is the third derivative of m(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278858 is divided by 69710?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.162, 5, -1\/4, -35, 13\/3 in descending order.\nAnswer: 5, 13\/3, 0.162, -1\/4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*c + 216*c - 948*c + 189*c + 184*c + 181*c + 4*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7441*n - 736 + 256 = 7420*n - 14849*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*18454.52.\nAnswer: 1845.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 476 (b) -0.5 (c) 0.4 (d) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cd (base 15) in base 7?\nAnswer: -1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*(-12)\/(-30). Which is the nearest to y? (a) 0.1 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*w - 46 = 0, -6*r - 4*w + 212 = 296 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173 a factor of 587007564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -49*n - 42. Calculate the remainder when 68 is divided by f(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*j = 9 + 4, -2*j = 4*r - 22. Let f(k) = -k**2 + k**2 + k**2 - 3*k. Let o be f(3). Solve 0 = r*h - i + 12, -3*h - 5*i + 1 + 5 = o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4282*i**5 - 4*i**4 - i**3 + 19*i**2 - 477041*i?\nAnswer: -256920*i**2 - 96*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*(-4 - -4). Suppose 2*s = 2, 0 = j - 5*s - d*s + 13. Let y be (1\/9)\/((-4)\/j). Is 1 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 3:01 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11.57431 litres?\nAnswer: 11574.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v**2 - 117*v - 253. Determine n(11).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*h = 11, 2*w - 5*w = -4*h - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 835411*a**4 - 107*a**2 - 4769*a.\nAnswer: 20049864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246252020?\nAnswer: 2, 5, 7, 37, 137, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence milh when four letters picked without replacement from {i: 2, b: 1, m: 1, h: 1, l: 4}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/6)\/f**(-3\/4))**(-26)\/(f**(-5)\/f**3)**(27\/7) assuming f is positive.\nAnswer: f**(295\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 26 = -13*t, -2*g + 3*t = -64 + 58 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*t + 9. Let n = t + 15. Calculate the least common multiple of n and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzzd when four letters picked without replacement from zdzdzd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7*u + 3. Let s be y(7). Suppose 0*k = k - s. What is the derivative of 2 - 4 - r**2 + k wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 1:06 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 + -5b?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(133)*2 + sqrt(133) + sqrt(133) + 1*sqrt(133)*1)\/(-2*sqrt(700)*-2))**2.\nAnswer: 1539\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 + 133. Let d = i - -37.5. Sort d, 2\/5, 3.\nAnswer: d, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba97 (base 12) to base 3.\nAnswer: -1001012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.94 (b) -5 (c) -163592\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -88. Suppose -s*i + 2848 = 460. Let g(y) = 0 - 195*y**2 + 1 + i*y**2. Calculate g(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 2. Let v be p(-2). Suppose 0 = -v*r - r + 175. Suppose -2*m + 2 = -12. Calculate the highest common factor of m and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4653\/(-132) - -34 - -5*1\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 19. What is x(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*c - 80896 + 80896.\nAnswer: 112*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658 and 2162.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -3.7. Sort -1\/2, a, -5 in decreasing order.\nAnswer: -1\/2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (16 + -3)) + 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 x when four letters picked without replacement from {x: 3, a: 6, g: 1, q: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -g - 5. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156692*v + 78178*v + 78505*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*107.712.\nAnswer: -215.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = -3*i, 0*f - 13 = -i + 2*f. Solve -3*u - 8 = -i*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302653217?\nAnswer: 31, 9763007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)\/sqrt(9))\/sqrt(9))**2 - (sqrt(45)\/(sqrt(54)\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0*y + 0 - 14\/5*y**4 + 8\/5*y**2 + 24\/5*y**3 = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69961348297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/63)\/((-4)\/(-14)). Let z(o) = 2*o**2 - 5. Let r be z(-5). Let t be (r\/6)\/(-3) + 2. Which is the nearest to t? (a) -3 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70569454 is divided by 635?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzccocucuyooc. Give prob of sequence yo.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**(2\/17)*d*d*d)\/d)\/d)\/((d*d*((d**7\/d*d*d*d)\/d)\/d)\/d))\/((d*((d\/d**(-2\/3)*d)\/d)\/d)\/(d**(-10)\/d)) assuming d is positive.\nAnswer: d**(-946\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 548 - 543. What is the second derivative of -5 - 22*l**b - 64*l**5 + 2*l**5 - 25*l + 35*l wrt l?\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*f**4 - 2 + 4 - 34*f**4 + 11*f**2 to x*f + g*f**3 + r*f**2 + h + d*f**4 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(21) - sqrt(21)) + sqrt(21) + sqrt(3024) + (2*sqrt(3024) - sqrt(3024)))\/(((-1*sqrt(252))\/sqrt(12))\/sqrt(3)).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:09 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0192 + -2.1108. Let c = 0.13 + g. Let v = c + 2.5. What is the second biggest value in -1, -14, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 - 0.788?\nAnswer: -0.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (11 + -14 - (-4 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97855 and 32355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 3, e: 4, f: 10, n: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -5, 0.4, -365?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 17*x**2 + 15*x + 30. What is the remainder when 109 is divided by n(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4004350, -4004564, -4004778, -4004992?\n\"Answer: -214*q - 4004136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18, 0.06, 76\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3114 divided by -9042\nAnswer: -519\/1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let m be 1 - (-2 - (5 - 5) - -3). Let q(j) = -44 + m*j - 7*j + 2*j + 6*j + j. Determine g(q(o)).\nAnswer: -2*o + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30900 divided by -6\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017932067 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 10 = i. Suppose -2*g = 3*b + 4, 2*g - 4*b - 12 + 2 = 0. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 13*o + 17. Give z(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8262700 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u**5 - 23*u**4 + 5*u**2 + 8882*u wrt u.\nAnswer: -480*u**2 - 552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)**36*f*f**2*f*f**(-5)*f*(f**(-2)*f**(1\/5)\/f*f)\/(f*f**2*f**1) assuming f is positive.\nAnswer: f**(331\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-9)*m\/(m*m**(-12)))**(-33))**27 assuming m is positive.\nAnswer: m**(-2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*h = 18, 5*n - 9*n - 3*h - 21 = 0. Which is the nearest to 0? (a) 1\/2 (b) -2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2656 + 300 - 4*z.\nAnswer: -3*z + 2956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -82. Let o(f) = -f**2 - 9*f - 12. Let w be o(c). What is g in -4\/3*g + 2 + 2\/9*g**w = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68892 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -178\nAnswer: -53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -21) + -8 + 744\/(-48)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 40.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58220 + -34460. Round h to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, -5, -113, -1, -40 in decreasing order.\nAnswer: 17, 5, -1, -5, -40, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 752*n**2\/9 - 85280*n\/9 - 860672\/3.\nAnswer: -2*(n + 48)*(n + 164)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 806 - 543. Sort -1, p, -3, 1.\nAnswer: -3, -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 39 and 0.789076?\nAnswer: 38.210924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p. Let c(t) be the first derivative of t**2 - 1. Calculate u(c(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17727, -39037, -60347, -81657, -102967, -124277?\n\"Answer: -21310*r + 3583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-18)\/(-1170)*5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5497*h - 25 = -5496*h, -f + 8*h = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Suppose -2*l + 11 = -11. What is the smallest common multiple of l and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 3*n + 2. Let t(j) = -2*j**2 - 3*j + 2. Calculate -5*o(b) + 6*t(b).\nAnswer: 3*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(140)\/(-4*sqrt(64)))\/(sqrt(5) - sqrt(405)*-1 - -2*(-2*sqrt(5) - sqrt(5))))**2.\nAnswer: -sqrt(7)\/8 + 65543\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (5*sqrt(132))\/sqrt(11) + 2) + -2.\nAnswer: -10*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 2 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnnnpnn. Give prob of picking 1 p and 2 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 5*i**2 + 23*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3323852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - 2 - 390\/25. Is -11 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 138. Let q be (-80)\/200 - 6\/l. Suppose q*b - 2\/5 - 2\/5*b**2 = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*a + 142 = 0, 4 = -18*a + 14*a. Calculate the remainder when n*(1 + (-3)\/4)*-2 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (3 + -3 - (-7 - -13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375*y**2 + 2665*y - 1254 = 0. What is y?\nAnswer: 38\/75, 33\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**6\/360 - j**5\/120 + 5*j**3\/3 - 7*j. Let g(o) be the second derivative of m(o). Suppose g(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.9, -2, 0.03, -1, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 - 58*c**2 - 116*c - 48. Let s(l) = -17*l**3 + 232*l**2 + 463*l + 188. Let w(x) = 26*j(x) + 6*s(x). Find p such that w(p) = 0.\nAnswer: -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 1012*w - 1010*w + 1106464, 4*c = -5*w + 1106422. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v**4 + v**2 + 0*v + 2*v - 2*v**3 + 17*v**4 + (v - v + v)*(2*v**3 - 2*v**3 - 2*v**3) + 0*v + 0*v + 3*v**4.\nAnswer: 3*v**4 - 2*v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d*y**2*z**2 + 2*d*y**2 - 13*d*y*z**3 - 4*d*y*z - 3*d*y - d*z**2 + 24*y**2*z**3 wrt z?\nAnswer: -78*d*y + 144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24222210 (base 6) to base 8.\nAnswer: 2726336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3250 - 9110 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1571 + 1573. Put -20, l, 4, 5 in decreasing order.\nAnswer: 5, 4, l, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a55dc (base 14) in base 6?\nAnswer: -12315250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 4*g**2 + g + 1. Let l be 1\/(-8) - 357\/24. Let w = l + 11. What is n(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20121 (base 4) in base 9?\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hohooooooo. Give prob of sequence hoh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686663981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.9 - -11.9. Let i be (-2)\/17 - 156\/408. Which is the nearest to 0? (a) i (b) w (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6. Let q(f) = -f + 2. Calculate q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 3*r)*(-2 - 4 + 4) + (5*r - 4*r + 0*r)*(-2 + 2 + 3) - r + 4*r - 8*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3175 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -0.02 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 9*s**5\/2 + 1385*s**4\/4 + 2641*s**3\/4 + 1199*s**2\/4 - 75*s\/4 = 0.\nAnswer: -75, -1, 0, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3626*j + 2. Let g be r(-3). Suppose -4*z + g = 13*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 7040000 = 17*k. What is k rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40)*20 - (-4 + -10*(-76)\/(-752))?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -1. Let p = -0.2 - -2.2. Let q be ((-7)\/42)\/(7\/4). What is the smallest value in p, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205270026 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 b, and 1 j when four letters picked without replacement from {b: 2, j: 3, o: 13}.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**4 - 4598345*k**3 + 78*k**2 + 2*k - 4146.\nAnswer: -72*k - 27590070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0*b**3 + 985 + 5*b - 990 - 4*b**2 - 3*b**3 + 2*b**3. Calculate n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -46, -18 in increasing order.\nAnswer: -46, -18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 6*a**2 - 3*a - 8. Let r be f(5). Suppose -5*u = r*u - 273. Calculate the remainder when 75 is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113.08*0.18\nAnswer: -20.3544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0 - 4. Suppose -6*i + 606 = -3*i + 5*p, 0 = -4*i + k*p + 808. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/18 and -23\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 13. Let z be 63\/(-45) + (-219)\/(-135). What is the closest to z in s, 3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**4 - i**3 - i**2 - i. Let p(l) = -15*l**4 - 15*l**3 - 3*l**2 + 3*l + 6. Let v(n) = p(n) - 12*q(n). Factor v(d).\nAnswer: -3*(d - 2)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13024 and 54538.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -137\/4 (b) -1\/3 (c) 1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -143 + 94. Let o(r) = r**3 - 8*r**2 + 7*r - 8. Give o(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06424481 - -0.063946. Round q to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -35695?\nAnswer: -35696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a + 1. Let h(y) = 7*y**2 - 3. Let b(o) = h(o) + 6*l(o). Let d be b(-6). What is the second derivative of -7*z**d - 8*z - 2*z + 8*z wrt z?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124089.2 and -1.2.\nAnswer: -148907.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c - 393. Let o be q(0). Is (-2)\/(((-8)\/o)\/(-4)) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -5*l**3\/4 - 9755*l**2\/8 - 1625*l\/2 + 7810. What is f in m(f) = 0?\nAnswer: -650, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305039 (base 12) in base 6?\nAnswer: 24104113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04552 - 0.0439862. Round a to 5 decimal places.\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -33004032442?\nAnswer: -33004032440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.076455cm?\nAnswer: 20.76455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -2920641.\nAnswer: 16\/2920641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(396) - (sqrt(396) + sqrt(396)*1)) + sqrt(396))\/sqrt(12) - sqrt(132)*3))\/(sqrt(99)*-3 + sqrt(11) + sqrt(275)*3) + -2.\nAnswer: -12*sqrt(3)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-426)\/(-355))\/(-10*9\/(-2175))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 121, 329, 703, 1291, 2141, 3301, 4819?\n\"Answer: 8*a**3 + 11*a**2 + a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(700) + -2 + sqrt(700) - (3*(-1 + sqrt(700) + sqrt(700)) - sqrt(700)))**2 + -2.\nAnswer: -120*sqrt(7) + 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:16 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 163.6\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155.3 + 155. Which is the biggest value? (a) 3 (b) -3 (c) 0 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -5*i**7\/42 + 17*i**6\/24 - i**5\/2 - 25*i**4\/6 + 20*i**3\/3 - 11*i**2 + 2*i. What is q in r(q) = 0?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 629*a + 75*a - 168*a.\nAnswer: -732*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 e when three letters picked without replacement from {i: 5, b: 3, q: 4, k: 1, e: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/9 - -29\/9. Let a = -6.4 - -6. Let c = 1 - 0.9. What is the nearest to c in a, -2, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3674258\/21)\/(1\/3) + (3 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 62211?\nAnswer: 62214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-88)\/64 + 1\/2. Let v(g) = g**3 + 5*g**2 + 4. Calculate v(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*o + 3128 + 1047. Let t = 4511\/27 + o. Which is the smallest value? (a) 0.1 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031846 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(117)*4 + 5 + 2*(sqrt(13) + sqrt(13) + 1)*-6 + 5)**2.\nAnswer: -96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 4*r + 0*r + 6*r + 0*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 24. Let u be p(8). Suppose 2*o + 2*o = 3*z + 488, u = 4*z. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 493*y**4\/4 + 2*y**3\/3 - 213*y**2\/2 - 470. Find the third derivative of n(k) wrt k.\nAnswer: 2958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-1 - -8 - (176 + -196)) - -16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110101010 (base 2) to base 12.\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44476 - -312105\/7. Let j = h + -111. Which is the closest to 3? (a) -5 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 2296300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35039, -34391, -33743?\nAnswer: -33095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*c + 1617 = -2973 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 19*f - 87. Determine z(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/3 + 227594*i**2\/3 + 6371456*i\/3 + 14865816 = 0.\nAnswer: -113769, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 7, x: 3}. What is prob of picking 1 r, 1 x, and 1 u?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -555712*b - 545886 wrt b?\nAnswer: -555712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1544 divided by -58266.\nAnswer: 772\/29133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1196*u + 81375. What is m(68)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -34) + (-10 - -7 - (-5 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1798 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-429)\/2*(-2)\/54. Let z = k + -8. Let g = -134193\/34738 - 1\/1579. Calculate the common denominator of z and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86917861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115905 + -58216. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/(-5) - 3) + 9\/(-15). Suppose 5*d = -3*j + 13, o*d - j = -0*d + 14. Solve -d*l + 2*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - 3. Let z be ((-6)\/9)\/(14\/w). Let y = -2 + 2. Which is bigger: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128791152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 2*l - 8. What is the remainder when 31 is divided by (l - -5) + (-1)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203*x + 832*x + 5011*x + 629 + 1432 + 1083 wrt x.\nAnswer: 5640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3 (c) -0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -9010277.\nAnswer: -36041108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 15 = -l. Let x(m) = m**3 + 4*m**2 - 7*m - 2. Is x(l) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 115311498?\nAnswer: 461245992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-18)\/(-7))\/(5871\/27398).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*k = -242*k - 192. Let q = -3 - 1. Sort -3, k, 0, q.\nAnswer: q, -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 374 or -31971?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -30*j**2 + 707*j - 44. Differentiate c(m) wrt m.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4*7\/5 - -1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 4\/7 (b) 314\/41 (c) 4 (d) 0.2 (e) 0.1 (f) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 116 = 5*p, 10*b + 14 = 3*p + 11*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 471605 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 33*c**2\/8 - 17*c\/8.\nAnswer: c*(c - 17)*(2*c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -b + 1 - 49, 5*b = -15. Let z be (-1)\/5*(4 + 1) + a. Suppose z*w = 403 - 83. What is the highest common divisor of w and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, -90, 1.\nAnswer: -90, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 35832*t**2 + 106994352*t + 106495045024.\nAnswer: 4*(t + 2986)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 327*f - 4. Let l(c) = 3*c. Give g(l(t)).\nAnswer: 981*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + 2*o**4 + 0*o**4)*(15 - 4 - 64).\nAnswer: -106*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**6\/72 - 22*r**3\/3 + 9. Let c(l) be the third derivative of s(l). What is w in c(w) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -33. Let m be 2 - h - (-1 - -3). Suppose 0 = k - m*k + 336. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbqbbqabq. Give prob of sequence baqq.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -24, 2\/11, -2, 3\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -609, -598, -587, -576, -565, -554?\n\"Answer: 11*m - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -213440 divided by -5336\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19635 and 193375.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109921676 is divided by 240.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16\/92833 + -8459083\/65447265. Calculate the common denominator of w and -65\/33.\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + 8 + 10) - 13 - (-1 - 5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15321797\/348 + -44028. Calculate the common denominator of 2 - 26*1\/(-32) and z.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from akskakaaskk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -2*f**6 + 97*f**5\/15 - 3*f**2 + 89*f. Find the third derivative of r(y) wrt y.\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceccssn. What is prob of sequence nss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -239590, 46 in increasing order.\nAnswer: -239590, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**2 + 509*z - 1531. What is q(3)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)\/h**(-4))**(-13)*(h**0)**(-2\/3)*h**(-2)*h*h**(-1\/2)*h assuming h is positive.\nAnswer: h**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1250 divided by -250.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 52 + 68 = 0. Suppose -24 = -4*m + f. Which is the closest to 1? (a) -4 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (17\/8 - 28\/224) + -1. Solve j + 18 = -3*v, 0 = 2*j - v + l - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000188583 rounded to seven dps?\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 737703421 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 8 - 2)*(a + a + 0*a) - 3*a - 2 + 2)*(-16*a - 39*a + 10*a)*(-21*a**2 + 21*a**2 - 5*a**3).\nAnswer: 2475*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182\/(5\/(-25)*-5).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -0.5. What is s rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 11840?\nAnswer: -11835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/12 + 8*h**2 - 4*h - 228. Let l(w) = -15*w. Determine l(b(d)).\nAnswer: -15*d**2 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*s*t**3 - 386*s*t + 8371*s wrt t?\nAnswer: 69*s*t**2 - 386*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n + 17*n - 29*n + 179*n**2.\nAnswer: 179*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 1\/3*a**3 + 21\/4*a**4 + 14 - 1\/2*a**2 + a. Let s be n(1). What is the highest common factor of s and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let z be (-52)\/(-6) - (-6)\/(-9). Let m(t) = -t**2 + 7*t + 9. Let v be m(z). Let a(i) = -1 - v + 5*i + 2. Calculate o(a(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630*v + 812*v - 1525*v + 229620 = 1484*v for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - -0.3. Let y(r) = -3*r**3 - 2*r**2 - r. Let j be y(-2). Let u be 3\/9*j\/(-14). Which is the third smallest value? (a) g (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = 2*t. Let d(k) = k**3 - 3*k**2 + k - 3. Let n be d(3). Suppose 2*g - 7*g = n. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*x**2 - 10*x**3 + 25*x**2 + 5*x - 5*x - 8*x**3 + (1 + 1 + 0)*(2*x**2 - 2*x**2 + x**3) to the form j*x**2 + k*x + w*x**3 + u and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10565*w = 5*y + 5282*w + 5287*w + 52, 40 = -4*y - 3*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-2 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 14. Determine u(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/3 (b) -0.3 (c) 0.16 (d) -1 (e) 3\/2 (f) -1.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/12 - d**3\/3 + 2*d + 106. Determine k(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12252?\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -231\/13, -2\/11, -2 in increasing order.\nAnswer: -231\/13, -2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122205379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 3 (c) 0.348 (d) 33 (e) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1771*x + 5*h = -1767*x + 25, 3*x - 5*h = -20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 607*v - 4264. Calculate k(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4909841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 - 7*a - 3. Let f be b(-6). Let o be 1*f\/(-6)*-34. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {c: 2, s: 2, d: 3, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*t**2 - 2\/7*t + 2\/7*t**3 + 2\/7.\nAnswer: 2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106276?\nAnswer: 2, 193, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**12\/(((i**(2\/7)\/i*i*i)\/i)\/i))\/(i**(-4))**(-6\/25) assuming i is positive.\nAnswer: i**(2057\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:26 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/25)*i**(3\/4)\/i assuming i is positive.\nAnswer: i**(-21\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297303?\nAnswer: 3, 113, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33327 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*v**4 + 6*v**3 - 4*v**3 + 36*v**4 - v + 2*v**2 + 0*v**2 to the form i*v**3 + z + p*v**4 + b*v + a*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22695371*b + 63386752?\nAnswer: -22695371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*y - 35*y - 101*y)*(-25 + 9 + 2).\nAnswer: 2394*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 147*g - 158. Give a(2).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) - 2*-2. Suppose -v - 3*j = -2 - 1, 0 = 5*v + z*j - 4. Suppose v = 5*l - 17 - 8. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1619 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**6 + 1085*u**4 - 140*u**2 + 8*u wrt u?\nAnswer: -120*u**3 + 26040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 55.91. Let d = h - -1.8. Let z = d - -4.11. Which is the second biggest value? (a) z (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -9 - (2 - -5 - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 0. Let a be (-107)\/c*(-3 - -6). Suppose 15 = -4*f + a. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000397888 rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + b + 2*b = 533, -z + 4*b - 110 = 0. What is the tens digit of 1 + z*3\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -632c4 (base 14) to base 13.\nAnswer: -84bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/24 - 1\/(-4). Let a(s) be the first derivative of -4\/7*s + 3\/7*s**2 + 4\/21*s**3 - p. Find u such that a(u) = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -535386 divided by -6?\nAnswer: 89231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 16. Suppose -4*l - 931 = -l + 4*z, -v*l - z - 1224 = 0. Let t be (-2)\/((-5)\/(l\/(-2))). Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1114)\/(-9) - (-6)\/27. Let x = -95 + s. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + x - 12 = 0, -309*m + 305*m = 2*x + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2 - 1791*x + 247380 = 0.\nAnswer: 217, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aalnnunannnu. What is prob of sequence un?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.058069+-52.836\nAnswer: -52.777931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 + 35*q**4 - 110*q**3 - 170*q**2 + 105*q + 135 = 0. What is q?\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -361 and 4.465.\nAnswer: -1611.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rklmrllllrrrrklrk. Give prob of picking 1 k, 1 r, and 1 m.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 121*y + 16 + 15 - 2 to r*y + z and give r.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - (2 + 4) - 5. Solve -2*q - 3*q = i, b - 1 = -q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7344) + (1*(sqrt(7344) + (sqrt(7344) - 2*sqrt(7344))) - sqrt(7344)))\/(-1*sqrt(12)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 243157 (base 13) to base 3\nAnswer: 1121212201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -21*i. Let k(s) = -8*s**2. Give k(b(z)).\nAnswer: -3528*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 40. Suppose -5*b - 5*j + 190 = 0, 0*j = 5*j - v. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 + (0 - (2 + 4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 2*n**2 + 8*n**2. Let l(s) = 4*s + 7. Let f be l(-2). Determine w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 35. Let i(b) = b - 2. Let m be i(6). Solve x = z + z + m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -57 + 33 + 3*h**3 + 6*h**2 - 18*h + 6*h = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 7*j = 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635322?\nAnswer: 2, 3, 19, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 0.4.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 5*s - 6. Let d be (3 - 2)\/((-1)\/6). Let z be w(d). Suppose -3 = 4*t + 9. Sort 1, z, t.\nAnswer: t, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71603058 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 17, m: 2}. Give prob of sequence smm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8*20\/6. Suppose 0*m + y*m = 0. Suppose 5*f + 10 = -m. Is f equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s**3 + 2*s**2 - 5*s - 2. Let y be i(5). Let b(m) = m**2 - 58*m + 36. Let w be b(22). Let h = w + y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.10602 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/(-52) - (-2)\/((-16)\/(-30834)). Calculate the highest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(3\/1 - (-40)\/(-30)). Suppose -m*s + 26*s = 4554. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81938 - 28834 = -3077*j for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.24 and 0.004.\nAnswer: 0.10896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54618.35 litres?\nAnswer: 54618350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 - -14)\/((-90)\/10 - -10). Let t = -2 + -1. Let h = -1 - t. Solve h*l + 11 = u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2\/(-2) - -89. Suppose 2*y - 4*b = -4, -b = y - 4*y - 21. Let l be 0\/(4\/1) - y. Calculate the greatest common factor of l and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4\/11 + 4*q**3\/11 - 10*q**2\/11 - 12*q\/11 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -95.63856 and 2.\nAnswer: -93.63856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776566317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 24. Suppose 3*z - 2*y = 1, 2*y + 2 = 5*z - y. What is the lowest common multiple of i and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*g + 42. Let h be (g + (5 - 4))\/1. Solve u + u + 6 = h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6396, -11464, -16532, -21600, -26668?\nAnswer: -31736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-2)\/5)\/((-20)\/25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -282628344 divided by 260968\nAnswer: -1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167947 is divided by 664?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykkykkyk. Give prob of picking 3 k.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/7597 and -35\/1256?\nAnswer: 9541832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.017, -3, 5014.4 in decreasing order.\nAnswer: 5014.4, 0.017, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 420433 <= 0.004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*15\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5174635 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/(-2) - 1\/2. Let d be 1\/5 - 1636\/b. Suppose 18 = 4*n - d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -89, -243, -511, -923, -1509, -2299?\n\"Answer: -5*a**3 - 12*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c**3 + 0*c**5 + 0 - 1\/60*c**6 + 0*c**4 + 0*c + 2\/105*c**7 - 4*c**2 - 1\/168*c**8. Let b(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + -81. What is the lowest common multiple of 99 and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 330d?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*l - 17, -o = 2*l - 3*o - 14. Solve x - l = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*f + 26 = 5*s, -5*f = 25. Solve z + 8 = -d, -d + 0*d + s*z = -12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 5*k**2 + 2*k + 12. Suppose 0 = 17*x + 3*x - 80. Let l be f(x). Which is the closest to 1? (a) -5 (b) l (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011100 (base 2) to base 5.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*q)*((q - 9*q - 2*q)*(q + q + 0*q) + 4539*q + 4*q**2 - 3*q**2 - 4552*q) - 3*q**3 - 2*q**3 + 6*q**3 as b + r*q**2 + j*q**3 + a*q and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262 or -523\/2?\nAnswer: -523\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 5 + (3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/63 at least as big as -7\/33508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/30 - 7*n**4\/24 - n**3 + 31*n**2 + n. Give i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnsszmsisll. What is prob of picking 1 m, 1 z, and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409 is divided by 2404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0613 - -0.1111. Let f = 0.05 - t. What is f rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g, -23 = i + 4*g + 25. Let s(y) = -y**3 - 5*y**2 + y + 3. Let m be s(-5). Sort i, -5, 5, m.\nAnswer: i, -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7059 - 7059.2. What is the second biggest value in b, -2, -1\/6, 0.2, -524?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 583.1 + -583. Which is the nearest to i? (a) 1 (b) 19 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 88, -5*z = -7*z + 7*z + 13*f + 545 + 574 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by (-21 - -26)\/((-1)\/3*-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -87. Let v = 111\/2 - i. Let z = -3 - v. Which is the second biggest value? (a) z (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906*c + 25560 = 910*c. List the prime factors of c.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1574\/7 and -226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -2e7?\nAnswer: 2df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877359546?\nAnswer: 2, 61, 271, 56783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/14488 and -97\/14488.\nAnswer: 14488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 31. Let m = 52 + k. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -7576027\nAnswer: -37880135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 36*(1 - 3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5138, 5250, 5530, 6062, 6930, 8218, 10010, 12390?\n\"Answer: 14*s**3 + 14*s + 5110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-87 + 40 - 85)*(-3 + 3 + 1) + 3 - 5 + 1 + (-3 + 0 + 1)*(1 - 1 + 1))*(-4 - 3*y**3 + 4).\nAnswer: 405*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 13*v + 89*v.\nAnswer: 103*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*o - 61 = 0, 2*r + o = -2*r + 211. Suppose 0 = 5*g + 5*s - 100, g + g = -5*s + r. Let u = 27 + g. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9656, -9540, -9244, -8684, -7776, -6436?\n\"Answer: 14*c**3 + 6*c**2 - 9676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858807 is divided by 344?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 374\/1189467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -260 in 2\/7, 0.2, -5\/87676?\nAnswer: -5\/87676","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 102, 3936, -4 in increasing order.\nAnswer: -4, -0.16, 102, 3936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7221\/7 - -1032. Sort -1, y, 1\/12 in increasing order.\nAnswer: -1, 1\/12, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 4. Suppose -794 = -5*p + b, 317 = 4*p - 2*p - b. Let y = 166 - p. Suppose 0 = 5*z - 50 + 20. Let t(l) = l - 5. Calculate y*x(w) + z*t(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147 + 132.1. Let y = 15 + z. Let p = -3 + 4. What is the closest to p in -0.3, y, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.4 (c) -1\/2 (d) -1112.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q + 10. Let a be d(0). Let j = 15 - a. Calculate the remainder when 18 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54575 - 3*a - 27258 - 27262.\nAnswer: -3*a + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.604 - 170\nAnswer: -169.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 less than -0.2186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - -6*1\/(-3). Let h be (-10)\/4*4\/(-5). What is the highest common divisor of g and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**3 - 2*b + 5. What is the first derivative of t(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 1. Let v(f) = -3*f - 1 + 2*f - f. Suppose 4*o - 7 = 3*u + 7, 22 = -4*u + 2*o. What is u*v(k) + 5*t(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w**3 + 11*w**2 + 11*w + 11. Let q(m) = m**3 - m**2 - m - 1. What is -66*q(j) - 6*y(j)?\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 9*m**2 + 5*m - 7. Suppose -3 = -6*j + 15. Let l(r) = r**3 - 4*r**2 - 2*r + 3. Let g(d) = j*o(d) + 7*l(d). Calculate g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 8*v + 6*v = 17, 6*v + 66 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -54*j**2 - 3833*j + 87. Let p(c) = -11*c**2 - 765*c + 18. Give 6*f(z) - 29*p(z).\nAnswer: -5*z**2 - 813*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.15 + 0.0248899.\nAnswer: -8.1251101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 - 194*d**2\/5 + 2156*d\/5 + 2352\/5.\nAnswer: 2*(d - 84)*(d - 14)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) - (-1825)\/5860. Let l = 22381\/2930 + q. Let p = -280\/3 - -91. Calculate the common denominator of l and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55153103?\nAnswer: 23, 2397961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y*y**(-3\/4)))*y)**(17\/6)*(y*y**6)**(-23\/2))**(-21\/2) assuming y is positive.\nAnswer: y**(12453\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2330172?\nAnswer: 2, 3, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10*j)**20*j**(-4\/11)*j*j\/(j**(7\/8)*j) assuming j is positive.\nAnswer: j**(19339\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.36 + -5.41. Suppose -m - 40 = 5*j, 0 = 2*j - 0*j + 2*m + 24. Which is the nearest to -1? (a) j (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.4 times -212?\nAnswer: -113716.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1d4d0 (base 14) to base 2\nAnswer: 10010010100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474162 is divided by 78.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 16. Suppose 11*k = p*k + 21. Calculate the smallest common multiple of 11 and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + ((sqrt(891) + -1)*5)**2.\nAnswer: -450*sqrt(11) + 22304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 8*n - 2. Let i be x(3). Let h = 14 + i. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 + 2*f**3 + 6*f**2 - f**4 + 8*f + 0*f**4 in the form i*f + h + c*f**4 + w*f**2 + p*f**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 81*x - 25*x + 107214 = 0. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 864500995*o**3 + 1441855520.\nAnswer: 2593502985*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, -3\/4, 2141, 4\/115?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -91908 divided by -12\nAnswer: 7659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*s + 16\/5 - 4\/5*s**2 - 2\/5*s**3 = 0. Calculate s.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -905 + 970. Calculate the highest common divisor of q and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from oooeukooqqooko?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -40.38. Let t = 0.62 - d. Which is the third biggest value? (a) 0.5 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 - o**3 + (-1 + 2*o + 1)*(-4*o**2 + 5*o**2 + o**2) + 3*o**3 - 5*o**3 + o**3 - 7 + 2*o**3 + 7 + 2*o**3 - 2*o + 2*o.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/((-287)\/738)*2384\/(-447)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 84 - 21 = 0. Calculate the remainder when 11 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, 71, 133, 193, 251?\n\"Answer: -o**2 + 67*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 50740365?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, 0, -4, -2, 25.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.5, 4, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179600 is divided by 2110?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 670\/25 - 16\/20?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - 2. Let d = 206198 + -206194. Put d, -116, x in descending order.\nAnswer: d, x, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/60 + 3*p**5\/20 - p**4\/3 - 5*p**3\/3 - 1153*p**2. Give h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3467*x - 2192*x = -86*x + 1448*x + 561680 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 73 = 352. Let t = u + 36. Let a be ((-6)\/8)\/(t\/(-28)). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o - 32795 + 8797. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33141903.\nAnswer: 3, 11047301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v**4\/4 - 13*v**3\/3 - 13*v**2\/2 - 3*v + 137. Factor x(t).\nAnswer: -(t + 1)*(t + 3)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 8*u - 1. Give s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -216a9?\nAnswer: 216a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 35 - 71 - 5*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -166226079.1 to the nearest one million.\nAnswer: -166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 + 1) - (0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1337 and 24690379.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 5*z**2 - 80*z + 442. Calculate l(5).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11 + 223*s**4 - 1173*s - 1168*s + 67*s**4 + 2337*s wrt s.\nAnswer: 3480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -431\/14 + -5\/7. Let a be 4\/(-22) + (-37704)\/(-220). Let w = -335\/2 + a. What is the common denominator of i and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:53 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d3a - 4?\nAnswer: -1d3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.114925 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d58 (base 14) in base 6?\nAnswer: -203402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 222*f + 10. Let j(m) = -2*m**2 + 150*m + 10. Determine 3*j(a) - 2*t(a).\nAnswer: -4*a**2 + 6*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -5*p**4\/4 - p**2 + 1. Let q(u) be the first derivative of 0*u**3 + 78 + 0*u + 1\/4*u**4 + 1\/2*u**2. Give h(i) + 2*q(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 0, k - 2 = 2*y - 9. Suppose -r**4 - y*r + 13\/4*r**3 - 3\/4*r**2 + 1 = 0. Calculate r.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, -1240, -5133, -12736, -25291, -44040, -70225?\nAnswer: -105088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {t: 2, v: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 68*j**2 + 973*j - 3. Determine t(12).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, v: 3}. What is prob of picking 2 a?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802416.5 weeks to hours.\nAnswer: 134805972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -27.11481551802.\nAnswer: 27.21481551802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqfvqfvvqffqf. Give prob of sequence qff.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -275, 0.5, 71 in descending order.\nAnswer: 71, 0.5, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-5)*(-35)\/21. Let j = -3 + q. Suppose 9 - 1 = 4*r. Which is the second smallest value? (a) j (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzzdakkzzzkt. Give prob of picking 1 k and 1 t.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -18 + 23\/2*g**2 + 44*g. Differentiate t(h) wrt h.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3667648 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -406 + 419. Calculate the smallest common multiple of 22 and q.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 14*c**2 + 13*c - 2. Let i be q(-15). Let g = i - -45. Let a = g + -22. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 8*i - 6*i. Solve -20 = 4*t - i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + -108 - (1 + -1 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 308 = 250 - 30. Calculate the remainder when 3078 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/10 - 3*v**4\/2 - 8*v**3\/3 + 90*v. Find l, given that y(l) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -17.8.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -1258930.2425.\nAnswer: -1258930.6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 275 + -246.2. Let t = -35 + p. Let h = 1.2 + t. Sort h, 5, -3 in descending order.\nAnswer: 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86cc6 + -4?\nAnswer: -86cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5174)\/(-4)*5\/(-36). Let o = 1443\/8 + j. Find the common denominator of o and (-1)\/(-4) + (-145)\/28.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g**2 + 2*g - 2. Let w be c(2). Suppose 15*l + 345 = 1080. Which is greater: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a5 - -100?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 2 + 11 + 42*m**3.\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1807\/588 - -1\/98. Let z be (-1)\/(3\/(-24)*2). Calculate the common denominator of b and z\/(-14) - (-606)\/308.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/50 and 58\/175.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-2)*(-2 - -13). Suppose 12 = -2*x + 60. What is the highest common divisor of h and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Let d(u) = 11*u - 1. What is the remainder when d(c) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 3*j + 1. Let s = 2 - 6. Let w be y(s). Put 0.1, w, 3 in increasing order.\nAnswer: w, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -580 divided by 116\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 2*i**2 + i - 2. Let v be h(-2). Let f be 4\/(-1 + 6 - ((-24)\/(-4) + 0)). What is the closest to 1\/2 in -2\/5, v, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 4*b)*(-3*b**2 + 5*b**2 - 3*b**2) - 1 - b**3 + 1 + (-4*b - b + 3*b)*(-b**2 - 4*b**2 + 3*b**2) + 231*b - 24*b**3 - 231*b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + b**4 + (-2*b**2 - 9*b**2 + 8*b**2)*(4*b**2 - b**2 - b**2) + 4773*b + 821*b**4 - 4773*b.\nAnswer: 816*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 + 5 + 5*k**2 - 4*k**2 + k**2 + 7*k. Let i be t(6). Let r = i - 9. Is 4\/5 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, -1, 15, -2 in decreasing order.\nAnswer: 15, 0, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002373087 to 7 decimal places.\nAnswer: -0.0002373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.58 - 3.42. Sort o, -2\/7, 2 in increasing order.\nAnswer: o, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101\/(28280\/112)*115\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*-2*(sqrt(567) + (sqrt(567) - 1*sqrt(567)) + -3 - 5*(sqrt(567)*1 + sqrt(567))))**2.\nAnswer: 69984*sqrt(7) + 6614784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 6*y - 330. Let c = -50 + y. Is c equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62+-0.06931\nAnswer: -62.06931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 + 5*h - 12. Let g be n(-7). Let o(b) be the first derivative of -1\/3*b**3 - g*b - 2 - 1\/4*b**4 + 3\/2*b**2. Give o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 6*z - 16. Let r be w(-5). Which is smaller: r or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2280 - -210aa?\nAnswer: 1992a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Let m(g) = -19*g**5 - 5*g**4 - 9*g**2 + 5. Let u(j) = j**4 - 1. Let r(f) = n*u(f) + m(f). Find the third derivative of r(o) wrt o.\nAnswer: -1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -32\/14265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 30 - 4*x + 4*x**3 + 5*x**3 + 29 in the form l*x + k*x**2 + a + v*x**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 586.0939 - 585.7. Let z = -0.0929 - -0.13. Let a = z + o. Round a to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(6\/(-18)). Suppose -5*v + 16 = u. Is 3*(-1 + 181\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 17904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -52. Solve n = -h*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374986544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -49b764 (base 13) to base 12\nAnswer: -712b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 514 (base 7) to base 16\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4799 divided by 6?\nAnswer: -4799\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a factor of 18528692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/12 + -2937*((-570)\/(-108))\/(-19). What is the greatest common divisor of 1200 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -20.7. Let a = -11126\/3 - -3670. Let u = 39 + a. Sort 0, u, l, -2\/5 in increasing order.\nAnswer: -2\/5, l, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 453*n + 905*n - 452*n.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40149 + 2971?\nAnswer: 43120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/5 + -12\/5. Let h = -19 - -37\/2. Let g = -1 - h. What is the closest to 1 in m, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 14?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = 4*p, 0 = 42*r - 40*r - 3*p - 15. Let v(j) = -j**2 + 16*j - 60. Calculate v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**3\/9 - r**2\/6 - 5. Solve a(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2779*p*y**2 - p*y - 692*y**2 - 10*y wrt p.\nAnswer: 2779*y**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -135, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/130 and 26\/15.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1. Suppose 14*g + 5*x = 12*g - 9, -4*x - 14 = 5*g. Let b(u) = u + 1. Calculate g*i(h) - b(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 282 divided by 1\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = -3. Let y = 5 + r. Let u(m) = m**3 + 7*m**2 - 13*m - 35. Let w be u(-8). Put -1, y, w in descending order.\nAnswer: w, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 4*v - 3. Let q be z(-5). Suppose -2*l + 4*p = -8, -l - q*p - 4 = l. Suppose -2*a + 44 = -l*a. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 683 - 221 - 239 - 2*i - 226. Let p(o) = -3*o**2 + o - 1. Let v be p(1). Give y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-6)\/4 - 10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (11 - 0 - ((-50 - -16) + 77)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*x - 591*x + 2582138 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 33*y**3 + 108*y**2 + 345\/2 - 1\/2*y**4 - 313*y = 0?\nAnswer: -5, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m**3 - 12 + 8*m - 7*m**3 + 6*m**3 - 4*m**2 + 0*m - 6*m**3 in the form k*m**3 + y*m + x*m**2 + q and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1 - 36*r + 26*r + 18*r. Give x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:10 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18176656541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8845387381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 36. Let p be q + (24\/32)\/(11\/(-12)). Which is the third smallest value? (a) p (b) -2\/15 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d + 9. Let j(m) = -3*m - 4. Suppose i + 26 = 21. Determine i*j(l) - 2*o(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, e: 13, d: 1, o: 2}. Give prob of sequence eo.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1157 + -2?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 198 = -514. Calculate the remainder when i is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 585504 and 2394.\nAnswer: 4098528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 8*v = -5*z - 31, 3*v - 5*z = 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5082347613?\nAnswer: 3, 7, 242016553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + -0.2. What is the closest to n in -0.3, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/13, 4, -2\/11, 0.3141 in decreasing order.\nAnswer: 4, 12\/13, 0.3141, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94148?\nAnswer: 2, 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23531523 to the nearest integer?\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from emnlnomlemao?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Suppose -2*r = w + 2*r - 30, -2*r - 40 = -5*w. Let f = 14 - w. Solve 4*j = i*s - f, -2*j - 11 = s + j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, a: 7}. Give prob of picking 1 a and 2 v.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12200\/(-25))\/(2128\/(-133))?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**9*g**(-10\/7)\/g assuming g is positive.\nAnswer: g**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**3 - b + 4. Let y(r) = r**2 + 3*r - 1. Determine v(g) + 2*y(g).\nAnswer: -6*g**3 + 2*g**2 + 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 9*c - 14. Let u be r(-7). What is s in 3\/4*s**3 - 3\/4*s**2 + 0 + u*s = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:36 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (20 - (17 + ((9 - 6) + 3 - 12))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = 6. Suppose m*a + 2 = 14. Suppose 5*u - k - 67 = 65, 2*u - 60 = a*k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -138 in -0.2, -0.1, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -a + 5*a. Let b = a + 6. Suppose 0 = 2*m - 6*m - k + 10, -4 = m - b*k. Solve 4*y = 0, -2*v + m*y = -3*y + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 2*v**6\/15 - 5*v**4\/2 - 17*v. What is the third derivative of r(j) wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0*o**(-14\/9))**(-1\/37) assuming o is positive.\nAnswer: o**(5\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h + 1. Solve 0 = -t - r - h, -r = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 13*v + 32*v + 124 - 53 - 31.\nAnswer: 45*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51969 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*h - 2*d, 0 = h + d - 6*d + 15. Let g(v) = 2*v - 6. Let w be g(h). Find m such that 4*m**4 - w*m**5 - 2*m**5 + 0*m**5 - 2*m**3 + 4*m**4 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228 or -218?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - 767*h**2\/2 - 14991*h\/2 - 38097\/2.\nAnswer: -(h + 3)*(h + 17)*(h + 747)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24948 - -24955. Sort r, -27, 10.\nAnswer: -27, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 14*m - 17. Let c be x(4). Let u(s) = 2*s - 9. Give u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13707 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: Suppose -72*w + 441 - 153 = 0. Solve w = -o + 10 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let a = 818 - 817.29. Let r = 1.21 - a. What is the closest to 2 in -1\/3, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*k - 9730 + 75003 = 0, -4*r + 5*k = -65271. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2*s**3 + 0*s**2 - 1\/4*s**4 - 7\/5*s**5 - s + 41. What is the third derivative of n(x) wrt x?\nAnswer: -168*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h\/h**6*h*h*h*h)\/h*h)\/((h\/(h*h**1)*h)\/h)*(h**(-1))**(-1\/3) assuming h is positive.\nAnswer: h**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 1700766 - 19089234. Round d to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94633 + 2?\nAnswer: 94635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.4 and 0.032906.\nAnswer: -0.1776924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 - 681817*a**5 - 33*a**2 - a - 7769.\nAnswer: -240*a**3 - 40909020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 31, 11, -29, -95, -193?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*p = -0*p - 49, 3*p + 75 = 4*n. Suppose -5*u + 2*q + n = 5*q, u = 4*q - 1. Solve 4*s - 4 = u*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27071, 3, -2066 in decreasing order.\nAnswer: 3, -2066, -27071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 1 - (8 + -29 - -13) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -3*l + 70, -52 = -2*l + 341*k - 338*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3758\/5 + -755. What is the common denominator of x and (-1)\/(-2)*3430\/(-315)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -j + 37, -9 + 14 = -j. What are the prime factors of 756\/((-35)\/o - -4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -125459.\nAnswer: 2\/125459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + sqrt(847) + 1)*-3.\nAnswer: -33*sqrt(7) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 2*m - 2*m + (-3 - 1 + 1)*(-m - 2*m + 5*m) - 76 + 76 - 6*m to c + o*m and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07684 - -0.076876977. What is s rounded to 7 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:01 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.325 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Suppose -a + 2 = -2*a, -4*a + 16 = 3*i. Suppose -2*n = h - 4, 0 = -0*h - 4*h - 16. Let v(c) = -n - 4 + 3*c + i. Calculate l(v(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/9230 and 37\/105790.\nAnswer: 1375270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11898 + 11897 - 99*x + 351*x)*(-x**3 - x**3 + x**3) + 0*x**4 - 2*x**4 + 0*x**4.\nAnswer: -254*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**2. Let j(l) = -9*l - 5. Let v(c) = 8*c + 5. Let b(a) = 2*j(a) + 3*v(a). Let z(y) = 5*y + 4. Let m(d) = 4*b(d) - 5*z(d). What is k(m(p))?\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -31, -2629 in descending order.\nAnswer: -5\/3, -31, -2629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:07 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-33 - (1 + -12))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -34. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**3 + 159*a**2*n*t - a**2*t**3 - 3*a*n*t + 8*a + n*t**3 - 11*n wrt a.\nAnswer: 30*a + 318*n*t - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - -7?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 3:59 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t*x*y - 52*t*x - 5966*t*y + x*y + x wrt x?\nAnswer: 2*t*y - 52*t + y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 51 = 3*u, 0 = 3*a - 2*a - 4*u - 29. Suppose -3*s = -27 - a. Are s and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163\/3 - -55. Sort l, -2\/15, -1.\nAnswer: -1, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4220.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*12\/60*((-340)\/8)\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*b + 67, -381 = -5*o - 7*b + 4*b. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/3 - 10560*m - 25295524\/3.\nAnswer: 4*(m - 8651)*(m + 731)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**7\/420 + p**5\/30 + p**3 - 1. Let n(u) be the third derivative of i(u). Find the second derivative of n(v) wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 5. Let u(g) be the first derivative of g + 50. Calculate -q(k) - 6*u(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 - 14*w - 13. Suppose 17 = -d + 18. Suppose 17 = -2*s - d. Is b(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1944\/5*y + 4\/5*y**5 + 84\/5*y**4 + 548\/5*y**3 + 1548\/5*y**2 + 864\/5 = 0. Calculate y.\nAnswer: -12, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 25 = 6*k, l - 11643*k + 41 = -11636*k for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*w - 950*w - 37*w - 579*w + 268*w.\nAnswer: -1976*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 133*y. Let n(l) = 3*l. What is n(v(t))?\nAnswer: -6*t**2 + 399*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2\/(-2) - -1. Suppose 10 = -s*m + 2*m. Let p = 15 - m. Calculate the lowest common multiple of p and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/17 - 4327422*q\/17 + 21637160\/17 = 0 for q.\nAnswer: -2163716, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89184768*s**3 + 120*s - 263916?\nAnswer: -535108608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Suppose -q*p = -7*p + 40. Suppose 4*v = -0*v + 8. What is the highest common factor of v and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44, -29.3, 63?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -695 * 72\nAnswer: -50040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/7 + 248*g\/7 - 976\/7 = 0.\nAnswer: 4, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 581474, 581452, 581428, 581402, 581374?\n\"Answer: -s**2 - 19*s + 581494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, -1\/6, 0.25, -3\/5 in descending order.\nAnswer: 3, 0.25, -1\/6, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2) - -1) + -1. Let d = -2 + 8. Suppose -3 - 6 = 3*t, 0 = 3*r - 2*t - d. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*j + 194*j - 73 - 167 = 0. What is the remainder when 2547 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5864*q**4 + 12*q**3 - 2*q**2 + 2041340*q?\nAnswer: -70368*q**2 + 72*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + 141.92. Let g = 2.92 - y. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((880\/33)\/4)\/((-4)\/(-12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 18*u**2 + 46*u + 18. What is the remainder when 4*(-2 - -3)*1 - -4 is divided by q(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 20209854*m + 20209854*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3 - 5\/2*y**2 + 3\/5*y**5 + 0*y**4 + 0*y + 0*y**3. Find the second derivative of m(k) wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 8:25 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -1\/3*a**3 - 1 + 0*a**2 + 0*a. Let d(g) = 4*g - 3. Let z(b) = -5*b + 4. Let m(f) = 4*d(f) + 3*z(f). What is m(s(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*i - 5 = 20, 2*i = -10. Let p = -19 - -18.5. Which is the nearest to -1? (a) 0.1 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92262720 to the power of 1\/2, to the nearest integer?\nAnswer: 9605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -391*d*o**5 - 42*d*o**4*z**2 + 27577*d*o - 2*o*z**2 - 3*z**2 + z wrt o?\nAnswer: -7820*d*o**3 - 504*d*o**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134196367*i**2*w**3 + 3*i*w**3 - 3*i*w**2 - 150*w**3 + 2*w**2 + 335*w - 3 wrt i?\nAnswer: -268392734*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 2\/43, -4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/12)\/9*(-4)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -104*b - 40. Let l(q) = 78*q + 30. Calculate 11*l(g) + 8*p(g).\nAnswer: 26*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyt when three letters picked without replacement from {a: 1, t: 2, y: 1, i: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 3345*r - 16600.\nAnswer: -5*(r - 664)*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1458*l**3 - 1494 wrt l.\nAnswer: 4374*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-10))\/((-3)\/(-4)). Let f be (-10)\/(-4) + c + (-10)\/4. Is (436\/(-12) + 1)*21\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**2 - 57*y + 60. Let x(i) = -39*i**2 - 285*i + 300. Let u(g) = 24*b(g) - 5*x(g). Let u(k) = 0. What is k?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/116477405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - ((-68 - -47) + -16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -16)\/((-38)\/((-10)\/(-6)*(-18)\/15))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 115464 = 16*x + 3*z, 3*z = -5*x + 144330. What is the highest common divisor of 102 and x?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65725 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 3, -25, -85, -189, -349, -577?\n\"Answer: -2*m**3 + 2*m**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 - -193.95. Which is the nearest to q? (a) 1\/6 (b) -1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 6 = 0. Let k be y\/4*(-4)\/(-2). What is the third derivative of -k + 3 - q**2 + q**4 wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564)*1 + sqrt(3564))\/(sqrt(144) + sqrt(144) + 2*sqrt(144) + sqrt(144) + sqrt(144)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163*-335.\nAnswer: -54605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 486\/(-168) - 171\/(-228).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from diaidjk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -8. Suppose 15 + 17 = 2*u - 5*o, -59 = -m*u + 2*o. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 80 - 43 - 32 + u. Let m be v(-3). Let q(a) = a**3 - a**2 - a + 1. Give q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(171))**2 - sqrt(171)\/(3*sqrt(9)).\nAnswer: -sqrt(19)\/3 + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o + 1)*(1 + 1 - 3) + (4*o + 0*o + o)*(-3 + 4 - 2).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9925 + 0.0075. What is the nearest to m in -14, -3, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p. Let n(g) be the second derivative of -2*g**3 + 235*g. What is q(n(o))?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 67 - (4 + -5)\/(-1). Let i = q + -66. Solve -2*v + 2*r = 3*r - 15, i = 2*r - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*w - 86 + 72, 0 = -3*w - 5*z - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, z: 2, n: 2, t: 1}. Give prob of sequence tz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51226, 205870, 463616, 824464, 1288414, 1855466?\nAnswer: 2525620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 12 = -6*k. Suppose 5*s + k - 74 = 0. Differentiate 2 + 5 - s + 6*h**2 with respect to h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35301 + -35302. Let v = -0.24 + -0.06. Which is the nearest to n? (a) -0.16 (b) -6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1966, -3914, -5856, -7792?\nAnswer: -9722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 5 - 1 - (8 - 13). Let d be ((-10)\/w)\/((1025\/30)\/(-41)). Solve -d*r = l + 25, 0*r = -r - 5*l - 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 1. Let z(d) = 24*d + 5. Suppose 3*i + 5*f - 53 = 0, -129*f + 4 = -128*f. Give i*m(u) + 2*z(u).\nAnswer: -7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/13, -0.01, -34\/11?\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*p - 19, -u - 4*p + 5*p = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64684?\nAnswer: 2, 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/4 + 10007*c**3\/3 - 4353*c + 5417. What is the first derivative of g(y) wrt y?\nAnswer: 3*y**2 + 20014*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 446 - 445. Which is the closest to -2\/5? (a) x (b) -40 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 1.980415.\nAnswer: 5.980415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83489643\/350 + -238542. What is the common denominator of 31\/350 and z?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/4 - 195*z**3\/2 - 6712*z**2 + 305259*z\/2 + 636975\/4 = 0 for z.\nAnswer: -75, -1, 19, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (9 + 11 + -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -68. Let v(r) = 4*r**2 - 12. Let k be v(-4). Let f = k + -31. What is the remainder when z is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 697 + -346. Calculate the highest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/32)\/((-6)\/(-12)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 greater than or equal to -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, -124, -551, -978?\nAnswer: -1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 9 + x + 5*x + (x - 3*x + x)*(4 - 2 - 1) in the form f*x + i and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/120 + m**4\/2 + 7*m**3\/3 - 5*m**2 - 7*m. Let l be b(-3). Solve 0 = -l*k + 20 - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:06 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20809 + -a1?\nAnswer: 20728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -831a4 (base 12) to base 2.\nAnswer: -101001110101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2582 and -91\/87916?\nAnswer: 113499556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -f. Suppose f*o + 2*m - 4 - 4 = 0, -2*o = -2*m - 12. Factor -5*l**4 - 4*l**5 - 32*l**3 + 2 + 23*l**o + 28*l**2 - 4*l - 8*l.\nAnswer: -2*(l - 1)**4*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -532, -529, -528, -529, -532, -537, -544?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120022 (base 3) to base 6.\nAnswer: -5142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 115 = -2*o, 3*o + 4*m + 1834 = 1667 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 14*t - 26. Calculate w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 721908457 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let l(j) = 24 + 2*j**y - 24. Let m(r) = 3*r. Determine m(l(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.63264236 + -18.032642. Let v = n - -1.4. Round v to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 + 117204*p - 937376 = 0 for p.\nAnswer: 8, 29293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*m - 4*m - 130. Sort -2, -42, m.\nAnswer: -42, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164195601?\nAnswer: 3, 54731867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 863, 839, 815?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 at least -13024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5 = -2*c - j, -5 = -3*c + j. Let d(x) be the first derivative of -2*x + c*x**2 + 8\/3*x**3 - 2. What is the derivative of d(w) wrt w?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-6) + -136 - 0\/2. Let h = 149 + f. Let u(q) = -17 - h + 2*q + 21. Calculate u(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42771695389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -13*t**2\/2 + 75*t + 62. Is s(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3, 3.58, 5, -2\/5 in ascending order.\nAnswer: -3, -2\/5, 1\/3, 3.58, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(425) - sqrt(425)) + 3)**2 + 1*(sqrt(1836)*1 - sqrt(1836) - sqrt(1836))\/sqrt(3) + -4.\nAnswer: -6*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 1. Let g = 19 + -12. Let y = -10 + g. Calculate h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24450003.\nAnswer: 3, 941, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 22*t**4 - 4 + 14*t**2 + 5 - 2 - 13*t**2 + 3*t**4 to the form g*t**4 + u*t**2 + o*t + x*t**3 + m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Suppose 2*m = -5*y + 26, 5*m - 27 = -4*y + y. Let j(n) = -m*n**2 + 6*n**2 + 2*n**2. Calculate j(h(r)).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzw when three letters picked without replacement from {s: 4, z: 3, w: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -74*i**2 - 499*i + 135. Calculate o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154430, 617733, 1389908, 2470955?\nAnswer: 3860874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1013 - 7?\nAnswer: -101a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 391863 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 product of 5 and -0.047?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n - 9*n - 36*n - 1591 = -6076 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76)*-2 - sqrt(76))*4)))*5)\/((sqrt(100) + sqrt(100)*-1 + sqrt(100))*5 - -3*sqrt(100)*-3).\nAnswer: -117*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 76\/6 + (-8)\/(-24). Suppose -2*p = 2*c + p - h, -7 = c - 3*p. Find the third derivative of -n + n**c + n + 6*n**3 wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -417872 - -247402. Is (-2)\/(-6) + x\/(-60)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, f: 3}. Give prob of picking 1 f and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**7\/630 - s**6\/40 + 2*s**5\/15 - 2*s**4\/9 + 22*s**2. Factor r(b).\nAnswer: b*(b - 4)**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a + 2. What is the units digit of y(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4646990340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1875\/25)\/(-15))\/(4\/12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 61*c + 70*c to z + a*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 456 (b) -1 (c) -24 (d) 10\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + (-56)\/8)*-69. Sort v, 3, 5, 2\/7.\nAnswer: 2\/7, 3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009913 to seven dps.\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3744 is divided by 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*n - 115 = 0, 4*t - n - 67 - 30 = 0. What is the highest common factor of t and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11\/5 (b) 1.3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-30))\/(9\/(-45)). Let u = -0.3 - -1.3. Let n = -1.2 + u. Which is the third smallest value? (a) m (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -35. Which is the fourth biggest value? (a) z (b) -4 (c) -1 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81257?\nAnswer: 11, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a factor of 2786507840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -5, 5314.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Let y be (3 + -2)*1*5. Suppose y*n + 25 = -v, v + 3 = -3*n - 12. Solve 2*f + m - 11 = v, -m - 13 = -c*f + m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*3*sqrt(198))\/sqrt(6))\/(sqrt(27)\/(sqrt(99)\/(sqrt(11)*2))).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150.0225 - -151. What is k rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/12 and -7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -327 - -326.9. Suppose 0 = -3*i + 2*w + 16, -8*w = -3*i - 4*w + 26. Which is the closest to -47\/2? (a) i (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1109803 and 3080070?\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h - h**2 + 5 + 44*h - 15*h - 15. Calculate the remainder when n(11) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90996181 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let a = 9.5 + 1.5. Let t = a - 10.5. What is the smallest value in t, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/10*((-1566)\/(-81))\/(-29). Which is the nearest to z? (a) -0.59 (b) 4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 10*z - 1. Let s be u(-9). Let c = s + -4. Solve -3*h = 2*g + c, 4*g - 3*h - 8 = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 9108 (b) -1\/4 (c) -0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 41 - (-2 - (9 + -1 + -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and -622940?\nAnswer: -1619644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-130)\/(104\/(-8))))\/((-2*13)\/(-1))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*3\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r + 15. Let h be s(-5). Let g(b) = 100*b. Let q be g(3). Suppose -h*f = -2*u - 384, 4*f + 4*u + 4 = q. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159585*z**4 + 1731*z**2 + 5*z - 2 wrt z.\nAnswer: -3830040*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 732549.5 millennia?\nAnswer: 8790594000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 9556*s + 37 = -9551*s, 3*s = -5*f + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(1\/(-2)). Let i(g) = -11*g - 5 - 5 + p. Let k = 7 + -3. Let c(d) = 6*d + 4. What is k*i(h) + 7*c(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -234665428*k**4 + 217686441*k wrt k.\nAnswer: -2815985136*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a factor of 139125104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -184990600 rounded to the nearest 100000?\nAnswer: -185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4878 + 1756. Is 2\/((-2)\/3*6\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 10. Let t = a + -9. Suppose t*u + 0*u = 20. Solve u*p + 12 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3 - 773*b**2 + 6*b - 53 wrt b?\nAnswer: 24*b - 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14687 is divided by 4787?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 151*s - 149*s - 3*s**2 + 0*s**2)*(0*s**3 + s**3 - 3*s**3).\nAnswer: 6*s**5 - 4*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5492 + -5478. Solve -2*p = -z - 13, -5*p + 24 - v = 5*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.098 - 17.097978549. Round x to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.6783595478 and -0.5?\nAnswer: 22.1783595478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/4)*d**(1\/2)*d**(-2)*d*d*(d\/(d**1\/d*d))\/d*(d**(-4\/5)*d\/(d\/(d**(-1)*d)))\/(d*d**(4\/9)\/d*d\/d**(-4\/7)) assuming d is positive.\nAnswer: d**(-4493\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1057, -1062, -1067, -1072?\n\"Answer: -5*t - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31222 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8465, -16942, -25427, -33920, -42421?\nAnswer: -50930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3621 + 3620. Let p(b) = -b + 5. Let s be p(0). Suppose s*a = 6 - 1. Sort a, -2, i in decreasing order.\nAnswer: a, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-2 + 3) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:47 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (4 - 1)*1. Suppose g - c = 1. Suppose 0*f + 66 = g*f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53660 + -34666. Is i a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4199 by -13.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.158 - -0.158. What is the nearest to -2 in -3, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q**2 + 4*q + 0*q**3 + 3\/4*q**4 + 3. What is the derivative of r(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 260. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**4 + 23148*p**3 + 173236*p**2 + 219360*p + 69264 = 0. What is p?\nAnswer: -2886, -6, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.22 and 13?\nAnswer: -28.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4828)\/(-18) - (-18)\/(-81). Suppose -4*k - l - 379 = -8*k, -3*k + 4*l + g = 0. Calculate the greatest common factor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, 5\/13, -1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 354 - 82 = -4*w, 4*a = 5*w - 541. Calculate the greatest common factor of w and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2194 and -49\/102?\nAnswer: 111894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {x: 1, d: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3222 - 457. Suppose -s = -5*n + 2*d, 3*d = 3*n - 0*d - 1659. Let x = n + -206. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 - 34964*w**2\/11 + 69934*w\/11 - 34968\/11.\nAnswer: -2*(w - 1)**2*(w + 17484)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -21. Let k(m) = -7*m - 3. Let a(w) = 6*w + 4. Suppose 0 = -2*s + 5 + 3. Let b(f) = s*a(f) + 3*k(f). Calculate b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n = 50. What is the highest common factor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45338826 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.5, 0.5, -5\/4, 1\/7, -5, 0 in descending order.\nAnswer: 15.5, 0.5, 1\/7, 0, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + 45. Let i(v) = -v - 4*v + u*v + 12*v. Let y(t) = 3*t. What is 2*i(s) - 11*y(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 + 36908.\nAnswer: 36959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5079\/9)\/((-11)\/(-66)). Let t = p - 2391. List the prime factors of t.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 126 = 2*b, 0 = t + b - 31 + 1. Suppose 4*a - 3*a = t. What is the remainder when a is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 18*i**2 - 13*i - 44. Let w(l) = -l**3 + 9*l**2 + 6*l + 23. Let g(c) = 3*s(c) + 5*w(c). What is g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 2*l - 2*l + (2 - 5 + 1)*(21 - 10 - 10 + 24*l) to n + d*l and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 1, a: 2, c: 4, o: 2, v: 2}. Give prob of picking 1 v, 2 c, and 1 o.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*d = 0, -3*k - d + 3*d = 0. Let t(n) be the third derivative of 0*n**3 + 2*n**2 + 0*n + 11\/24*n**4 + k. Let z(h) = 2*h. Give z(t(o)).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 238635 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31458 by -31.\nAnswer: 31458\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*a**3\/5 + 104322*a**2\/5 - 73411527*a\/5 + 4813757244\/5 = 0. What is a?\nAnswer: 948\/13, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5420.29 years in millennia?\nAnswer: 5.42029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*t**2)*(1 + 1 - 3)*(4*t + 4*t + 19 - 20).\nAnswer: -16*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a + 16. Let h be (-6)\/4*(-28)\/a. Solve -h = -4*w + u, -w + 5 = -u + 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5423386 and -39\/113627.\nAnswer: 200665282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024206559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/1159 - -2323\/5795. Factor 0*g**3 + 2\/5 + t*g**4 + 0*g - 4\/5*g**2.\nAnswer: 2*(g - 1)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*p**3 + 10*m**2*p**2 + 11*m**2 - 33*m*p**3 wrt p?\nAnswer: -6*m**2 - 198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -71*a + 111*a**2 + 17*a + 54*a. Let m(y) = -2*y**2. Determine d(m(f)).\nAnswer: 444*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 59*j**2 + 798*j + 378. Determine m(22).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 979800 divided by 24?\nAnswer: 40825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r + 17. Let f be g(6). Suppose 3*m = m + 3*q + f, 55 = 3*m - 2*q. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.729 + 0.069. Let k = -1.6523 - n. Round k to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107112 - -2?\nAnswer: -107110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*i = -99*i - 132. Let w = i - 39. Solve g = 2 - w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7855?\nAnswer: 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p - 2. Let l(d) = 2*d - 1. Let n(o) = -g(o) + l(o). What is n(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139 is divided by 177?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*h - 464 = -4*c, 0*c + 5*h + 10 = 3*c + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*c = -173, 2*c = 5*f - 312 + 87. Let s = 47 - f. Solve -4*w - 17 + 5 = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o. Suppose -23 = -4*m - 3. Let c(f) = 5*f + f - m*f. Determine c(j(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 383\/2 less than 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0875 + 3.7025. Let r = c - 0.19. Let k = 4 - r. Sort 3, k, 4 in descending order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 + -213. Let a = h + 112.99937. What is a rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2147)\/38 - -52)*(1 + -2 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4313765 or 4313764?\nAnswer: 4313764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 take away -17?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + w - 3796, 0 = 2*a - 6*w + 10*w - 1884. What are the prime factors of a?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -244 - -246. Let k be 22 - 0\/(o + -9 + 6). Solve 2*l - k = n + 4*n, 3*n - 4*l = -16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 13 = -9*x - 10*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 718.55 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12109 - 6792. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 699, 701, 703, 705, 707?\n\"Answer: 2*y + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 23948*j + 23949. Determine k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 64*w + 2684, -166 = 231*f - 232*f + 4*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 3. Let t = 5 - 7. What is g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - u + 10. Let d be 0*(-1)\/3*1. What is the smallest common multiple of m(d) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 9*o + 10. What is s(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) -5 (b) -2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - 33?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 9 = -26*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 - 7 = -5*y, 4*j + 2*y - 28 = 0. Let p = 3 - j. Let g = 76479 + -76481. Put g, 5, -1, p in ascending order.\nAnswer: p, g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 7 = -2*n + 27, 5*z + 7 = -2*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 164 = 4*h, -3*u - h + 256 = -0*h. Let y = u + -84. Let i = -10 + 6. Which is the closest to y? (a) -2 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 4, -17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -2. Let t = 46 + -50.9. Let z = w - t. What is the closest to 0.1 in 3, 1\/7, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.06163 years in millennia?\nAnswer: 0.00306163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 113*r**2 - 6*r + 1. Let q(k) = -338*k**2 + 18*k - 2. Let v(j) = 6*q(j) + 17*y(j). Let i be v(-5). Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 33*u**2 + 1 + 35*u**3 + u**3 + 2*u**3 - 36*u**3 to c*u**2 + m*u + t + p*u**3 and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + x**2)*(58 + 4 + 17)*(0*x**2 - 4*x**2 + 2*x**2).\nAnswer: -158*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let r be 9*(j + 6 + -4). Let f be (r\/12 - -4) + -4. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, 1 y, and 1 u when four letters picked without replacement from {n: 4, y: 1, q: 1, o: 2, u: 4, b: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/792*-6*3\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - f + 5*f + 7, -5*f - 49 = -3*b. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4289\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 937 - 937. Solve -5*v + 10 = -z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:49 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 11. Let b be k(-9). Let z be b*1\/8 - (-20)\/16. Solve 0 = -3*w + 4 - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*t + 5*p - 453, -4*t + 365 = -5*p. Which is smaller: 87 or t?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9238.61 rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17*l**4 + 399*l**3 - 5*l - 135. Let t(w) = -6*w**4 + 134*w**3 - 2*w - 45. Let y(r) = 11*t(r) - 4*x(r). What is the second derivative of y(o) wrt o?\nAnswer: 24*o**2 - 732*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4225*h**3 + 6*h**2 - 7*h + 7. What is the tens digit of t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5)*x)**50\/(x**(2\/9)\/x)**(-10\/17))\/((x*x*x**0)**26\/(x**(3\/11)*x\/(x\/(x*x**(2\/17))*x))) assuming x is positive.\nAnswer: x**(47011\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 + 3498*w + 15295005.\nAnswer: (w + 8745)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**2 - 141*d + 287. Let t be k(2). Calculate the greatest common divisor of t and 9861.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 8401425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5, 5*j + 4*f = 8 + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 - 198. Suppose -4*z = -p - 38 - 11, 50 = -p + 5*z. Let q = p - s. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 83 = -4*n - 44*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721 + 10007 = -551*s + 5323 - 15220 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 3\/((-3)\/2). Let n be 2\/(-8) + 1\/4. Let q be 1 + 1 + n - -6. Calculate the highest common factor of q and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184903\/7 + -26415. What is the third biggest value in -1407, o, 0.4?\nAnswer: -1407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**4\/24 + a**3\/6 + 2*a**2. Let o be p(3). Let i(s) = 7*s**2 - 3*s - 3. Is i(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -2*m - 0*m, 4*m - 2*s = 56. Calculate the least common multiple of 30 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268412?\nAnswer: 2, 67103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*(-96)\/6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 54, 80, 106, 132?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0 - 2\/3*h**3 + 0*h - 10*h**2 + 1\/24*h**4. Let f be j(6). Solve -f + 10 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2279 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*h + 3, i - 18*h = -22*h - 7. Solve i*u + 3*w = w - 31, 5*u + 37 = -4*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {r: 1, x: 3, p: 5, t: 2, g: 1, v: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 878 + -875. Let j = -29 + 41. Calculate the lowest common multiple of d and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 25*r = -300 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*x + 16, -464*z + 463*z - 5*x = -24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 1, -1, 3 in decreasing order.\nAnswer: 3, 1, -0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4623939155?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340000 - -224?\nAnswer: 340224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/20 + 2*b**4\/3 + 2*b**2. Find the second derivative of g(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**4\/8 - g**3\/6 + 2*g**2 + 238*g. Determine t(11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**3 + 90*g**2 - 52*g - 63. Let l(b) = -18*b**3 + 149*b**2 - 87*b - 105. Let c(q) = -8*l(q) + 13*v(q). What is c(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75507997 and 278?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*555\/(-37)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*t - 22, 5*w + 3*t + 28 = 2*t. Let k be 0\/(0 - w - 4). Which is the closest to k? (a) -1\/5 (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381889 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5*q**3 + 8)*((-1 + 2 - 3)*(4 - 2 - 4) + 1 + 2 + 0).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 1712*p + 45178. Calculate s(26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30 - (6\/10)\/(42\/(-140)). Let j(l) = 16*l**2 - l + 2. Let g be j(2). What is the highest common divisor of n and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -16. Suppose -l = x - 0. What is the smallest common multiple of 8 and (0 - (-3)\/x)*-12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -c66 (base 15) in base 9?\nAnswer: -3746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -29*z**2\/5 + 404*z\/5 + 28\/5 = 0.\nAnswer: -2\/29, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -p + 815, 2*n - 3*n = 5. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 166 (b) -2\/707743 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613901 is divided by 68209?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 231*f**3 + 25*f + 7. Let o be w(-17). Let z = o + 2555321. Round z to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -75559*d - 102. What is the units digit of p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 156440\nAnswer: -1564400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -15*l**3 + l**2 + 4*l + 25. Let u(y) = 7*y**3 - 2*y - 12. Let c(z) = -13*u(z) - 6*w(z). Let d = -20 - -14. Determine c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -188?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**4\/24 + a**3\/3 - 2*a**2. Let w be (12\/16)\/((6\/16)\/1). What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + l + 5*l - 6*l - l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -7*s**3\/3 + 27*s**2 - 2*s + 40. Let o be p(4). What is the fourth biggest value in 0.2, 2\/3, o, -5\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmmmlmmdlmmlmmmmm. Give prob of sequence mddl.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*u**3 + 2\/3*u**4 + 4\/3*u - 2\/3 + 0*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-65) - ((-340)\/325 + 1). Let t = 1\/50 + -21\/50. Let n be ((-9)\/12)\/((-7)\/(-4)). Sort t, d, n in ascending order.\nAnswer: n, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j + 1. Let m be x(0). Let w(z) = 2*z - 3*z - m - 15*z. Is w(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11868\/5? (a) 1\/2 (b) -18 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z + 9 = 0. Suppose 0 = -w + r - 11, -2*w + 4*r - 18 = 6. Let d be ((-18)\/30)\/((-8)\/w). Put -2, d, z in ascending order.\nAnswer: -2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 2*z**2 + 2. Let x be s(-2). Suppose -x*t = 3*h + 15, 5 = -4*t + 2*t - h. Let q be (t\/(5 + -3))\/2. Put -1, q, 9 in increasing order.\nAnswer: -1, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gki when three letters picked without replacement from kig?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 51*n + 31. List the prime factors of q(11).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Let v = -37 - -74. Let p = v + -18. Solve n - 3*s + 1 + 8 = 0, -p = -m*n - s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.2, -1843\/6 in increasing order.\nAnswer: -1843\/6, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2 - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/(i**(-1\/3)\/i))**(-37\/5) assuming i is positive.\nAnswer: i**(-703\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*w = -6*u + 2229, -3*w + 885 = 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 96659.65 decades?\nAnswer: 9665.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*k**2 + 67*k**2 + 64*k**2 in the form p + o*k**2 + m*k and give o.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -27. Suppose 4*o = -3*k + 20, -3*o + 10 = 2*k - v*o. Suppose -k*l = 2*l - 216. Calculate the greatest common divisor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1125*j**2 + 464471400*j - 47940818092880.\nAnswer: -5*(15*j - 3096476)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600692 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: Express (-54 + 210 - 95)*(5*a - 5*a + 4*a) in the form i + j*a and give j.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 255 and 11?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -55*f**3 + 3295*f**2 + 640720*f + 58220 = 0.\nAnswer: -82, -1\/11, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:12 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 2*z**2 + 4*z + 4. Let s be g(-3). Suppose s = -4*x + 3*x. Let r be 2 + (0 + 2 - x). Solve -v - 4*y - 17 + 6 = 0, -y = v + r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 11*t - 1 - 1\/2*t**2 - 1\/3*t**3 - 1\/4*t**4. Is u(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 1, a: 1}. Give prob of sequence haj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 57*y - 10. Let t(k) = 72*k - 16. Let s(l) = -5*p(l) + 4*t(l). Determine s(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 4, g: 1, p: 3, o: 2}. What is prob of picking 1 p, 2 n, and 1 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 6*u - 42. Suppose c - 30 = -3*m, -19*c + 2*m = -17*c - 52. What is the least common multiple of u and c?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8558, 17117, 25676?\n\"Answer: 8559*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663315.4ml to litres.\nAnswer: 663.3154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 8. Let u(z) = z - 6. Let y(p) = -4*u(p) - 3*v(p). Let w(k) = 133*k. What is w(y(b))?\nAnswer: -133*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 637\/5 or 128?\nAnswer: 637\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.72 times 22?\nAnswer: 873.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 436730476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33663\/(-458)*1*(-8)\/28?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/7 + 630*a**2 + 633*a - 26478\/7 = 0. Calculate a.\nAnswer: -3, 2, 1471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 37) + -12 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.298938, -1.1, 1\/4 in descending order.\nAnswer: 5, 1\/4, -0.298938, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -14. Let s be 6*(15\/g)\/5. Solve 5*w = 3*j + s, 4*w = -5*j + j - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - t**4 - 2*t - t**2 - 2*t**4 to j + x*t**4 + o*t + a*t**3 + s*t**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 21, 26 in ascending order.\nAnswer: 0.02, 21, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12234*q + 7307 + 12237*q + 3294.\nAnswer: 3*q + 10601","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.007 + 0.007. Let l = 0.7 - 0.9. Which is the second smallest value? (a) l (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004856 to the power of 1\/2, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 14 + 19 - 60*y**2 + 27.\nAnswer: -60*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 124\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*p - 121, -124 = -4*p + 4*k + 32. Suppose -2*u = 3*u - 65. What is the remainder when p is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -77. Calculate the remainder when 15*(-4)\/(r\/(-36)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = 141*n + 43. Which is the nearest to 0.1? (a) n (b) -0.1 (c) -171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1064*r**2 + 38?\nAnswer: -2128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 8*v**2 + 5*v - 14. Let d be 9\/(-2)*(-4 - -6). What is the remainder when 196 is divided by a(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -402 and 30?\nAnswer: -12060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 282, 129, -106, -435, -870, -1423, -2106?\nAnswer: -2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 48*y + 1. Let j be t(-16). Let w(h) = -h**3 + h + 5. Let z be w(0). Suppose 16 = 1088*d - 1092*d. Sort 10, j, d, z in descending order.\nAnswer: 10, z, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:33 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 1\/4.\nAnswer: -5, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10467\/838 - -4\/419. What is the common denominator of n and 41\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108) - (1*(0 + sqrt(108)) + sqrt(108)))**2 + sqrt(108) + sqrt(108) + sqrt(108)) - ((-1 + sqrt(108))*1 - (sqrt(108) + 0 + sqrt(108) + 3))**2.\nAnswer: -556 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjbbbjj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416 = -33*w + 50 + 62 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 35. What is v(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25901014303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/2833 - 70843\/25497. Let j = 2204898607 + -26509495912635\/12023. Let m = j - -2\/1093. What is the common denominator of d and m?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/((-5)\/30). Let s be 9\/j*(-6 + -2). Suppose 0*n = -n + s. Solve 10 = 4*y - 2*k + 4, 3*y = -4*k - n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24571776 is divided by 363.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 71. What is the remainder when h is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376480145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2643, 5281, 7919?\n\"Answer: 2638*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8\/10*15\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1427 - -25637\/18. Calculate the common denominator of j and 2\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-27) - 76\/(-18)) + -3. Let l(o) = -2*o**2 - o + 2. Let p be l(k). Let m be 26\/13 - (0 + p). Let v(z) = -z**3 + 2*z**2. Determine v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -3 - (-4)\/(8\/6). Suppose 5*j - 20 = 5*k, 3*j - 2*j = -5*k - 2. Put v, -3, j in ascending order.\nAnswer: -3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2.2, -3 in decreasing order.\nAnswer: 2.2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416753 is divided by 411.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 2*n**2 + 2*n - 5. Let d(l) = -l**3 + 3*l**2 - 3*l + 8. Determine 5*d(j) + 8*m(j).\nAnswer: 3*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166169\/76 + -2187. Calculate the common denominator of s and -121\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**5\/20 + t**4\/12 + t**3\/3 + 3*t - 1. Let p(n) be the first derivative of u(n). Let p(s) = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -436? (a) 2\/7 (b) -51\/8 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/2456*(-4)\/3. Let h be 0*(-8)\/(-32)*(-1)\/3*3. Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -45*z - 3298. Does 61 divide v(-76)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332 (base 4) to base 16.\nAnswer: fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 38. Let k = -10 + d. Suppose 2*n + 2*v - 6 = 0, 6*v + 1 = 3*n + v. What is the lowest common multiple of n and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(4 + 2 - 3)*(-2*m + 2*m - 2*m)*(-2 + 1 - 1).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 131*b. Calculate q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 954, 4369, 10062, 18033?\n\"Answer: 1139*q**2 - 2*q - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118955 - 82042. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 5\/7, -17\/11?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 6*z = -38, 9747*x - 9749*x + z = 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odocipdccnoidn. What is prob of picking 2 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/17185 and -88\/15.\nAnswer: 51555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -278, -337?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27612 and 1638?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 13941*y + 55780.\nAnswer: -(y - 4)*(y + 13945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let h(y) = 2*y**3 - 16*y**2 + 12*y. Let n(c) = h(c) - 2*p(c). Factor n(z).\nAnswer: 2*z*(z - 6)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1127*z**3 - 3*z**2 - 200*z wrt z.\nAnswer: -6762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 2*m + 32110, -3*k - 16082 - 3184 = m. Let f be (386330\/50)\/(6\/(-5)). Let u = f - k. What is the common denominator of 107\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 4*n**3\/3 + 11. Suppose -26*a + 20 = -24*a. Let x(u) = -a*u + 4 + 17*u - 4. Give d(x(m)).\nAnswer: 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**6)**(-47)*n**(-16)\/n*(n*n**(-1))\/n*n)**(-10\/11) assuming n is positive.\nAnswer: n**(3460\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9814\/(-31545)*(-30)\/(-12).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 0)*(-8)\/64. What is the nearest to 2\/3 in -5, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**5 + 390*d**4 - 2185*d**3 - 9210*d**2 - 6640*d = 0.\nAnswer: -83, -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 204\/25, 1\/4, 28, -1\/2, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:50 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 3)**2 - ((-5*sqrt(192))**2 - sqrt(192)).\nAnswer: -4779 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3 - 8. Let t(r) = -5*r**3 + r**2 + 10*r + 10. Let a be t(-2). Suppose -17*b - a = -102. Solve -7 - h = b*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*y - 32 + 31 = 0, 2*a + 2*y = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*r = 68 - 7, -2*m = 3*r - 3. Let g be -3*1*(-3)\/m. What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -0.4 (b) 12\/5 (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3\/6 + 7*m. Let w(a) = -4*a**2. What is w(v(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + a = -4*t - 719, 2*a + 898 = -5*t. Calculate the common denominator of 11\/9 and (238\/t - 8\/(-36)) + 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16441883?\nAnswer: 839, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -46 + (0 - -62).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 9) in base 4?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 4. Let h(k) = k**3 - 3*k**2 + 2*k + 2. What is h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 5*v + 18*v**2)*(1 + 1 + 0)*(11 + 10 + 8)*(3*v - 3*v + 2*v).\nAnswer: 2088*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**4 + 8*c**4 - 7*c**4 + (4 - 4 - c**2)*(1 - c**2 - 1) - 231*c**3 + 231*c**3 - c**4 as n + j*c**2 + q*c**4 + t*c + m*c**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Let z(y) = -4. Let c(a) = 51*a**2 + 136. Let q(g) = -c(g) - 34*z(g). Calculate n(q(x)).\nAnswer: -2601*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*-2)*-2 + sqrt(130) - sqrt(130)) + sqrt(130))\/(sqrt(360) + sqrt(360)*-3) + -5 + (-5 + 1 + 1*sqrt(637))**2.\nAnswer: -667*sqrt(13)\/12 + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10132210 (base 4) to base 15.\nAnswer: 567a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 147 - 203 = 0. Calculate the smallest common multiple of ((-20)\/5)\/4 + 85 and q.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 2. Let a be (-285)\/(-20) - 6\/h. Let b = -6 + a. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5, 2 = -a + i + 6. Suppose 2*m = a*u - 44923230, 29370284 = -2*m - u - 15552962. Let d = m - -7961621. What is d rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -15. Let s be 6\/2 + (-1 - -5)\/(-4). What is the third derivative of -6*a**6 - 30*a**s + a**k + 41*a**2 wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06182*-744.6\nAnswer: 46.031172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -24, 1189?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 8:43 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110111 + -10?\nAnswer: -10110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - n = 91 - 5, 54 = 2*y - 4*n. Let z(i) = 11*i + 77. Let s be z(-6). Suppose 2*x = 5 + s. Calculate the remainder when y is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + 205?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -646.1726 + 646. Let w = 291.142 - 291. Let l = n + w. What is l rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/10 - 3\/(-5). Let v be 2 + 21\/(-6)*t. Let f = -1 + 1.4. What is the nearest to 0 in 0, v, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(10\/4))\/(-8). Let k = 35.5 - 49. Let q = 13 + k. What is the closest to -2\/7 in n, -8, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 4) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 18. Let m = -16 + i. Let h = -2.92 - 0.08. Which is the second biggest value? (a) h (b) m (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose 5*p + 2*r = p + 44, -3*r = -l*p + 42. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 368 + 4*d**2 - 360 - 5*d**2 as r*d + h + k*d**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 = 37. Let u be (-5)\/6*h\/(-30). Which is the second smallest value? (a) u (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/(-6))\/8)\/((-4)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 40 + (-17 - 60) - -11\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 2 w when four letters picked without replacement from {y: 4, o: 1, n: 1, s: 3, g: 3, w: 5}?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 5*r + 5. Let m = 172 - 178. Let h be -9 + (m - -7)*6. What is n(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*m + 4*i - 21, -11 = 4*m - 5*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3146854*y**5 - 34*y**2 + 80*y - 738?\nAnswer: 188811240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48051936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 3*n**2 - 7*n - 9. Let j be t(-4). What is the derivative of 96*i**2 - 14*i**j - 96*i**2 + 34 wrt i?\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 2. Let k = 5 - 2. Let r(y) = 4*y - 2. Determine k*q(x) - 4*r(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1058175 by -14109.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -382.73 to 0 decimal places.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 62. Suppose 7 = -2*n - 2*h + s, -13 = -4*n - h. Sort n, 2, 1.\nAnswer: 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27816 and 13474952?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80353885919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1359388 and 1156.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.857 + -100.857. Which is the third smallest value? (a) -0.1 (b) p (c) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/10 - (-1582)\/1356.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/7, 2\/57, 9, -1\/6, -3\/2 in increasing order.\nAnswer: -7, -3\/2, -1\/6, 2\/57, 1\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(16\/24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -47, -3, -90, -4, 0.\nAnswer: -90, -47, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197895.\nAnswer: 3, 5, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 9*u - 11. Let n be g(7). Put n, 5, -3, 52 in decreasing order.\nAnswer: 52, 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27883, -39060, -57689, -83770, -117303, -158288, -206725?\nAnswer: -262614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8 + 12\/144. Let t = -0.0211 + 5.0211. Which is the smallest value? (a) d (b) 16 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*p**6 - 2*p**5 + 87*p**2.\nAnswer: -7800*p**3 - 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226402 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:51 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a decade in months?\nAnswer: 1770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -554 + 856. Let g = 304 - q. Which is bigger: 0.12 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1519235 to the nearest ten thousand.\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -32. Let l be (-10)\/(-40) + u\/(-8). Is (2\/4)\/(l\/(-22)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11.4, 1\/5, -2?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 740621?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 7 = 10*n + 3*b, -12 = -6*n - 4*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8636267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 33. Suppose 488 = 5*l + i, 4*l - k*i = 6 + 370. What are the prime factors of l?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from xmmmxmxmmmx?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/480 - 5*x**5\/24 + 77*x**4\/32 - 45*x**3\/4 + 2172*x**2. Factor s(k).\nAnswer: (k - 45)*(k - 3)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-13.4761988\nAnswer: -13.3761988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1471 + -1465. Let r(q) = q**3 - 8*q**2 + 13*q - 13. Calculate r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 12\/15593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170231276 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -754 - -758. Solve -t*y + 4*a = 4, 0*y + 23 = 2*y + 3*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174312*a*h + 23195*a wrt h.\nAnswer: -174312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 33. Let q(w) = -w**2 - 5*w - 1. Let d be q(-5). Let v = d + u. What is the highest common factor of 18 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483704, -483703, -483702, -483701?\nAnswer: -483700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.5 + -2.5. Let i = 19 - l. Let w be (2\/(-9))\/(2\/6). What is the smallest value in 3, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-2\/23)*k))\/k)\/k**(-6\/7)*k\/(k*k*k\/(k\/((k**(-1\/7)*k*k*k)\/k))*k)*k\/(k\/(k\/(k*k*k**(-2\/9)))) assuming k is positive.\nAnswer: k**(-1178\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (1 + -2)*14. What is the highest common divisor of f and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 8. Suppose -4 + x = -l. Suppose 3*i = 4 + l. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 88*p - 1028. What is o(10)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -10, -2, -1.\nAnswer: -25, -10, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 30037*o + 30042*o - 32 - 15, 52 = -6*d + 4*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t - 5. Suppose 0 = -5*o - n + 76, 0*o + n + 14 = o. Let j(l) = 2 - 6 + 0 + 0 + o*l. Let c(z) = 3*g(z) - 4*j(z). Give c(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57009 is divided by 362?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4318468 and -65\/181104.\nAnswer: 362751312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/27*(-2379)\/122?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/13 - 10*j**2\/13 + 2*j - 14\/13.\nAnswer: -2*(j - 1)**2*(j + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + 4. Let z = 53 - j. Sort 0.1, -3\/8, z in descending order.\nAnswer: z, 0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqpbmgf. What is prob of sequence bqm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656.639031 rounded to the nearest 10?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (1 + -5 - (-1 + 3))) + -14 + 9?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8 + 2*b - 6 + 2*b + 2*b**2. Let q be w(-2). List the prime factors of (q\/3)\/(10\/(-105)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*f - 17*f + 38 - 3 + 4 wrt f?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 46. Let z = 18 - i. Is -0.01 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17738.395368 from -563.\nAnswer: -18301.395368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04627 and -7435.\nAnswer: 344.01745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8126972 is divided by 267.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from koffkzkzgogzfzmo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 7*d**2 - 9*d + 2. Let v be t(-8). Suppose -2*a = -5*x + 21, 4*a - 4*x + 2 + v = 0. Solve -3*s + 2*n + 13 = 4*n, -a*s + 27 = 5*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 29*d + 42131. Is c(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5\/2 + 1161*k**4\/2 + 111315*k**3\/2 - 500409*k**2\/2 - 29307243*k + 29501208 = 0.\nAnswer: -193, -24, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 358\/84 - (-11649)\/163086?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5539186066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 6*x + 8. Let f be q(-7). Suppose -20 = -2*b + 4*k, -2*b + 5*k = 3*b - 40. Solve u - 5*u + 3*o + f = 0, 0 = u - 2*o + b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 1 y when three letters picked without replacement from yvvdsbdh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87221*t - 14 = -u - 87225*t, 2*t = u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p - 858*p - 263*p in the form f*p + x and give f.\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 357?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -1808, -5956, -14114, -27620?\nAnswer: -47812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 12*x - 7. Let s be j(11). Let r(c) = -c**2 + 5*c + 4. Let m be r(5). Solve -2*g - m*w = -12, -2*g = -s*g - 5*w + 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*g = 212*g - 15. Let j(p) = -2*p + g + 2 + 0*p + 4 + 5*p. Let z(d) = -4*d**2. Give j(z(l)).\nAnswer: -12*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 3*l. Let d(j) = 24*j**3 + 68*j. Calculate -6*d(t) + 136*m(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9*27\/6. Let g be 6 + -13 + u*(0 - 1). Calculate the common denominator of 99\/32 and 274\/(-28) - 1 - g.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-35))\/((-112)\/(-200))\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*u**3 - 1 + u**2 - 2*u**3 - u - 3*u**3 + 2 to n*u**2 + v + k*u**3 + y*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(190) + sqrt(190) + (sqrt(190) - sqrt(190)*2) - sqrt(190)))\/(sqrt(250)*2))**2 + 2 + ((-4 + sqrt(304) + 0)**2 + sqrt(304))*1.\nAnswer: -28*sqrt(19) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/22 + (-208246)\/(-88). Let s = h - 2379. Let b = 578\/5 + -3383\/30. Calculate the common denominator of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:02 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 8 = -17*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 0.03\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 22*k**2 - 1. Let r(c) = 45*c**2 + c - 2. Let i(q) = 5*d(q) - 2*r(q). Is 7 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-8) - 26\/4. Let z = 8 + c. Suppose -5*i + 4*h + 70 = -h, 3*i - 2 = -5*h. Calculate the least common multiple of z and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(((-40)\/70)\/(256\/(-1344)))\/(-148*1).\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -17. Let y = z - 4. Factor 1\/4*m**4 + 0*m**2 + 0*m + y + 1\/4*m**3.\nAnswer: m**3*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*-1*sqrt(567) + 1 + (sqrt(21)*-1)\/sqrt(3) + -3*sqrt(7)*4)**2 + 5.\nAnswer: 262*sqrt(7) + 120133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1134, 1138, 1144, 1152, 1162?\n\"Answer: h**2 + h + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6083, 29736, 69149, 124316, 195231, 281888, 384281, 502404?\nAnswer: 636251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/4)\/(100\/30).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**6\/30 - l**3\/3 + 2*l. Find the second derivative of w(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33743, -33740, -33737, -33734?\nAnswer: -33731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8757308 milligrams?\nAnswer: 875.7308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286, -5, 3, 812, 33.\nAnswer: -286, -5, 3, 33, 812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:53 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 2. Suppose 0 = 3*i + 33 - 9. Let z be -6*(-4)\/i + 19. Let f be (-4)\/(z\/(-12)) + 0. Give h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 907.75 - 83.35. Let a = -912 + g. Let t = -98 - a. Round t to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -5 + 15 - (-9 + 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 44?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 25*t - 31. Let g be n(-4). Solve -4*w + 10 = d, 5*d + 0*d = -g*w + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -770\/156227 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 - 3*t - 38*t**4 + 4*t**3 - 2*t**3 + 2*t - t in the form g*t**3 + m + o*t**4 + f*t + b*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4144740 and 20.\nAnswer: 4144740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1615*o + 2354*o + 1546*o + 2369*o.\nAnswer: 4654*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - (-66)\/14. Suppose 11*g = 12*g - 268. Suppose n*s + g = 703. List the prime factors of s.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38888, -78084, -117280, -156476?\n\"Answer: -39196*g + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 47*h**2 + 26*h - 24. Calculate the remainder when 87 is divided by k(23).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1257956.5 rounded to the nearest ten thousand?\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 94*b + 2209.\nAnswer: (b - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = o + 39, -3*d + 41 = -2*o - 1. Solve -3 - d = -15*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5059.\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 148*c - 150.\nAnswer: 2*(c - 1)*(c + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + 1 - -5 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4 - 69236*h**3 + 300396636*h**2 - 6881660316*h + 39442365072 = 0 for h.\nAnswer: 11, 12, 8643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-7 + (-1)\/2*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*k**4\/2 - k**3 - 63*k**2\/2 + 9*k.\nAnswer: k*(k - 3)*(k + 3)*(7*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.2 - -24. Let j = -7 - -7.3. Which is the nearest to -2? (a) 4 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163658798.\nAnswer: 2, 41, 48679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 + 2*f**2 + 2*f + 3. Let d(v) = -41*v**3 + 11*v**2 + 10*v + 15. What is -2*d(p) + 11*m(p)?\nAnswer: -6*p**3 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*c + 1\/2*c**2 + 1\/4*c**3 - 1\/2.\nAnswer: (c - 1)*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**2 - 4*w + 37. Let k(j) = 20*j**2 - 9*j + 75. Calculate -4*k(a) + 9*s(a).\nAnswer: a**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3214 divided by -22016.\nAnswer: -1607\/11008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - y = 991 + 66, -4*c = -3*y - 1059. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*56\/(-4). Let i = 18 + g. Solve 2 + 4 = -2*o, 0 = b - 2*o - i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/96 + 2*n**3\/3 - 31*n**2\/16 - 92*n + 39. Suppose r(k) = 0. Calculate k.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.33 - 0.3300025. Round g to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 4:38 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2057b (base 14) to base 13\nAnswer: 2960c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 5*q**2 - 5*q - 3. Let n(r) = r - 2. Let i be n(7). Suppose 8 = i*z - 12. Give t(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877216?\nAnswer: 2, 11, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685*a + 6108372 = 1009*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 != 42422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 40. Let u be h(-12). What is the nearest to 6 in 0.05, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 2*n - 2, q + 4*n - 4 = 0. Let d(h) = h**2 + 3*h - 8. Let c be d(-5). Let k be (c\/(-6))\/(1\/2). Are q and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 + 4121762*k**2 + 4247234617920*k + 8494452748800 = 0. What is k?\nAnswer: -2060880, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 4. Let l be d(-6). Suppose -5*j + 52 = l*c, -4*j = -3*c + 88 - 10. Suppose 0 = 2*o - 26 - 2. What is the remainder when c is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = 3*k + 14, -4*c - 10 = 5*k. Suppose k*v - 7*v = -25. Suppose 3*n + 4*u = 40, -4*n + 43 = 4*u - v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x - 12. Let m be r(9). What is the smallest common multiple of m\/(0 - (-9)\/24) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-94)\/(-8))\/(15\/(-12) - -1). Let d = g - -56. What is the smallest common multiple of d and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39.67 in 1, -4, -1.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjjjjjqjjj. Give prob of sequence jj.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 + -172. Suppose -2*q + 22 = -q - 4*n, y*q - 121 = n. What is the remainder when 123 is divided by q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/a)**(-11)*(a**(-9)*a)\/(((a*a**(-8)*a)\/a*a*a)\/a) assuming a is positive.\nAnswer: a**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 16 = 3*u. Suppose -2*h = -3*b - b - 28, h - 3*b - 11 = 0. Suppose -u*n = -0*n - h. Calculate the remainder when 37 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 3}. What is prob of sequence juu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/47)*v**(-17))\/(v**0\/v)**(-40) assuming v is positive.\nAnswer: v**(-2681\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*w - 2482*f**2 - 1134*w wrt w.\nAnswer: f**2 - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (36 - 78) - -33\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/6 - 4\/(-6). Let h = 13 + a. Let l = -5649.5 - -5650. Sort 7, h, l in descending order.\nAnswer: 7, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745 (base 10) in base 5?\nAnswer: -23440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3596576 is divided by 3355.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1268709 (base 11) to base 13.\nAnswer: 5ba254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 1 + 1)*(-2*l + l - l) - 238*l**2 + 2924*l - 2924*l + l**2 - l + l + (3*l - 4*l + 3*l)*(9 + l - 9) in the form y + s*l**2 + c*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9551 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7267 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -850681*g + 850589*g - 5428 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.4 - -11. Let t = -19 + c. Let m = -8.3 + 8. Sort m, t, 2\/3.\nAnswer: m, t, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -392*k**5\/3 - 1064*k**4\/3 - 334*k**3 - 380*k**2\/3 - 50*k\/3 = 0.\nAnswer: -1, -5\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 1 - (-2 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 2*m - 1. Let u be o(3). Let c = -1 - u. Suppose l + 2*l - c = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -19. Suppose 7 = 4*x - f. Suppose 2*n - 5 + 3 = x*p, -p - 1 = -5*n. Solve n = l - 0*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/105)\/(((-33)\/(-21))\/(-11)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -8 - 12 - (0 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 15*k - 6*k**2 - 4*k + 21*k - 5*k + 6*k.\nAnswer: -6*k**2 + 40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 4. Let v = -1 + s. Solve -k - 4*r = -8*r + 16, k = -r - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(26\/(-44) + 15\/30). Let h = q - -38. Put 0.11, h, 1, -0.1 in ascending order.\nAnswer: -0.1, 0.11, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1498 or -2281?\nAnswer: -2281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217207.9922 + 217279. Let w = x + -71. What is w rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11065601, 22131198, 33196795, 44262392?\n\"Answer: 11065597*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((45\/70)\/((-18)\/(-21))). Is 1371\/((1 - g) + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7440 is divided by 1215?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*j - 2, -224*j - 8 = -220*j - 4*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113456 (base 8) in base 11?\nAnswer: 27094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49645, 99298, 149055, 198916, 248881?\nAnswer: 298950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**3 + 156*y + 2751. Let m(j) = -5*j**3 + 155*j + 2750. Let s(r) = -5*f(r) + 6*m(r). Differentiate s(b) wrt b.\nAnswer: -15*b**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e466b (base 16) to base 5\nAnswer: 1234021213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**2 - l - 2*l**2 - 9*l**2 wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -14 + 8 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*19)\/2 - (-36 + 40). Let c(a) = 2*a - 24. Determine c(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351351 by 84.\nAnswer: 16731\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 4*m. Let n(v) = v**2 + 10*v - 3. Let o be n(-10). Let c be b(o). Let q be (-335)\/(-15) - (-21)\/(-63). Solve 4*a - c = -q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-22)\/(-8))\/(2\/8). Suppose 2*r + 3 = o. What is the remainder when 7 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377*o**4*q**2 - 2*o*q**2 - 7*o*q + 5*q**2 wrt o.\nAnswer: -4524*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 + 6877*k**3 + 11*k**2 - 20827779*k wrt k?\nAnswer: -12*k**2 + 41262*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3 - 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487\/7 + (-112)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551 (base 13) in base 4?\nAnswer: 300210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 307 times -0.3\nAnswer: -92.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176965 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7 = -5*h, 2*h - 5*g + 0 + 14 = 0. Solve u - 7 = -3*n, 0*u = u - n - h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 56.5028.\nAnswer: -16.95084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/4, -17\/5, -0.18, 0.3, -2 in ascending order.\nAnswer: -17\/5, -2, -0.18, 0, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3313 (base 5) to base 10\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1224 or 1220?\nAnswer: 1220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.2 and 3.22?\nAnswer: 97.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4781?\nAnswer: 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -184097210 to the nearest one hundred thousand.\nAnswer: -184100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*a = -45, -4*v - 2*a + 35 = a. Suppose -4*l = -3*d + l + v, d - l = 3. Solve 0 = 3*m - 2*m - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2097 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-3)*3\/(-2). Let k(t) be the second derivative of t**3\/3 + 7*t**2\/2 + 21*t + 1. Let f be k(-1). Solve f*m + d = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a1262 + 0?\nAnswer: 1a1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let g(y) = -9528*y + 7940. Let t(o) = 2*g(o) + 15880*i(o). Let h(q) = 2*q**2. Calculate t(h(c)).\nAnswer: -6352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - 1 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 12*x - 6. Let h be 435\/(-33) + (-12)\/(-66). Let q be c(h). Solve -1 = 4*k + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 40, 2 in ascending order.\nAnswer: -3, -1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/6 + 36*l**4 - 1624*l**3 - 5527*l**2\/3 + 16827*l\/2 - 4983 = 0. What is l?\nAnswer: -3, 1, 66, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -283*m**3 + 7*m**2 + 5. Let r(t) = -141*t**3 + 4*t**2 + 3. Let z(i) = -3*o(i) + 5*r(i). Let u(f) = f + 4. Let c be u(-3). Is z(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2099119603 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h + 11*h + 1 - 54*h.\nAnswer: -74*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-2*y + 2*y + 2*y**2) - 5 + 5 + y**2 - 4 - y**2 + 4 + 35*y**2 - 3*y**2 + 21*y**2 + (-1 + 1 + 4*y)*(-5*y + 5*y - y).\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 - 1084*t = 0 for t.\nAnswer: -271, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776757291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -305, -288, -255, -200, -117, 0, 157?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(30\/9 + -3). Suppose 4*l - 3*d - 32992 = s, 2*d - 12 = -d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**4*u**3 - 409685*c**3*u**3 - 2560218*c*u**3 + c wrt c?\nAnswer: -60*c**2*u**3 - 2458110*c*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - -36c409?\nAnswer: 36c465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 4 - 8 + 7*w - 4. Let n be ((-1 + 4)\/(-3))\/(((-189)\/(-147))\/(-9)). Calculate g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73208.66 + -0.1.\nAnswer: -73208.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*y - y**3 + 116*y - 1 - y**4 in the form h + r*y**4 + w*y**3 + i*y + n*y**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -326, -491, -656, -821, -986?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301050864*k**5 - 29*k - 53712.\nAnswer: 6021017280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6169800*87\nAnswer: -536772600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + h + h**2 + h**3 + 1. Let f(v) = -4*v**3 + v**2 - 6*v - 1. Let t(a) = -f(a) - 3*n(a). Is 12 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17155.\nAnswer: 5, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 21.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0 - 3*m - 3\/2*m**2 - 1\/2*m**3. What is the derivative of u(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.184922g in nanograms?\nAnswer: 2184922000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwwwwhqmqmmqwm. Give prob of sequence mq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 4*y**4 - 3*y**4 + (15*y - 22*y + 37*y)*(8*y**3 - 6*y**3 + 5*y**3).\nAnswer: 207*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2738\/4125 - -4\/1375. Solve -8\/3*o - b*o**2 - 8\/3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15 - 0. What is the second derivative of 3*y**2 + x*y + 2*y - 4*y wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = 5*i + 1806. Let m = 108 + -98. What are the prime factors of (i\/m)\/((72\/(-20))\/9)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607532 is divided by 3652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 62. Let x be t\/(-12) + -2 + (-19)\/(-4). Solve m + 4 = -m + c, -2*m = -x*c + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 21. Let k be (-176)\/77 - 4\/j. Let u(x) = -x**3 - 3*x**2 - 4*x - 2. What is u(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 84*o**2 - 6*o - 3100. Calculate j(41).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 + (-2)\/3. Let a = -0.269 - -0.039. Let p = a + 0.13. What is the biggest value in k, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1182, -4, 0, -48, -8, 3 in descending order.\nAnswer: 3, 0, -4, -8, -48, -1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 41 = 5*z + 39, -3*z = 2*i + 39. Let u(d) = 13*d + 88. What is u(i)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*p = -385*p + 206 - 26 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - 2. Suppose -5*t + 13 = -n - r*n, -4*t + 40 = 5*n. Let s(h) = h**2 - 3*h - 5. What is s(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 - 9*c**2\/2 + 12*c + 30. Let j be s(3). Is 18560\/44 + j\/(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041189235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2046105?\nAnswer: 3, 5, 41, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddbdssddbdssbb. What is prob of sequence bd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1)\/15 - (-66)\/30. Suppose -2*s + p + 7 = 0, q*s + 8*p - 5*p - 11 = 0. What is the highest common factor of 164 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 4*h + 45*h + 51 = 8*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/3)*p\/p**(-1\/9)*(p\/p**(-2\/11))\/((p*p*p**(3\/4))\/p) assuming p is positive.\nAnswer: p**(-445\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxx. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63838 and 9476156?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 - 37*j**4 + j**3 - 2*j**2 - 2760365*j wrt j.\nAnswer: 80*j**3 - 444*j**2 + 6*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 6*a**2 - 5*a + 7. Let r be k(6). Let z = r - -32. Let s be 3*-3*(-2)\/z. Solve -s*w = -w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 9*k**2 + 4*k**2 - 15*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 201 = -31*k, -4*r - 788 = k - 779 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19469, -39341, -59153, -78905?\nAnswer: -98597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/23 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -162, -250, -340, -432, -526, -622?\n\"Answer: -n**2 - 85*n - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 3) + 0\/(-2). Suppose -5*m = 14 + s, 13 = -u - 2*m. Let l = u - -14. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.838 - -1.252. Let r = -0.09 + b. Let s = r + -5.0002. What is s rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(h + 7 - 7 - 2)*(0 + 5 + 0) as b*h + x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 481 + -2?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1 + 12*m - 36*m + 3. Let l be f(-1). What is the greatest common divisor of 78 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*l + 376 = 0, -4*p + 8*p - 2*l = 370. Suppose 0 = -4*o - x + 38 + 250, -5*x = o - p. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 4, s: 4}. What is prob of picking 3 s and 1 o?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7868\/(-24728) - 1\/4*-2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289079696?\nAnswer: 2, 17, 1062793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23381, 23313, 23185, 22985, 22701, 22321?\nAnswer: 21833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.037 + -20.037. Let k = d - -19.9. Let x = -150 - -153. What is the third smallest value in 2\/5, k, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-80) - 23\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -359 - -368. Suppose 2*o = x - 1. Solve -o + 10 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -35.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 3*v**2 + 3*v**2. Let w(h) be the third derivative of -h**5\/12 - h**2. Give f(w(m)).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926455?\nAnswer: 5, 385291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**3*w*w)\/w)\/w)\/w*w*w*w)**(-4\/13))**14\/((w*w*w**(2\/5)*w*w)\/w*w**(1\/13))**48 assuming w is positive.\nAnswer: w**(-12248\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 883694790 to the nearest 1000000.\nAnswer: 884000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 8\/1 + -1. Suppose l*v - 53 - 45 = -2*h, -4*v = h - 99. Let b(f) = f**2 + 11*f - 5. What is the remainder when v is divided by b(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 2)*(-10*a**4 - 18*a**4 - 6*a**4) - 5*a**4 - 2*a**4 + 4*a**4 + (-3 + 3 - a)*(-3*a + 3*a - 2*a**3).\nAnswer: 169*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 891, -25, -1\/2, 5 in decreasing order.\nAnswer: 891, 5, -1\/2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 15*q**2 - 5*q - 11. Let o be z(7). Factor 24*s**3 - 24 - 21*s**3 - 5*s**o + 32*s - 6*s**2.\nAnswer: -2*(s - 2)*(s - 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/(-1235)*76\/(-552)*-15*1.\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 189, 228, 267, 306, 345?\n\"Answer: 39*l + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-32)*12)\/((-762)\/23368)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6620 - 6618. Sort 4, s, 3\/7, 0.2 in decreasing order.\nAnswer: 4, s, 3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30891 is divided by 434?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 24 = -5*u - 0, 0 = -4*u + 5*f - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5 + 155*a**4\/4 + 833*a**3\/4 + 651*a**2\/4 - 1161*a\/4 - 243\/2 = 0. What is a?\nAnswer: -9, -2, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-22) + (5740\/110)\/(-1). Let h be t\/(-60) - (-4)\/30. Let y be (-6)\/(-15) + (-4)\/10. What is the nearest to h in -1\/2, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -7493619\nAnswer: 2\/2497873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*v - 127848 = 0, 4*x - 3*v - 319594 = -x. Suppose 5379 - x = -7*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167 - 214?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -3, 45 in decreasing order.\nAnswer: 45, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 217 - 45)*(-2*k + 2*k - 2*k**2).\nAnswer: 560*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*i + 68 = 0, 2*l - 2*i = 2*i - 44. Let q = -11 - l. Suppose -4*g = q*a + 6, a + 2*a - 26 = 5*g. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/78 + (-12591560)\/(-2652)?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - -258. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 - 2*h - 1. Let p(o) = -43 + 40 - 8*o + 14*o**2 + 2*o. Let m(c) = -2*p(c) + 7*z(c). Give m(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -5, -0.1 in increasing order.\nAnswer: -5, -0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccqccqcqcqq. What is prob of picking 4 q?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 326, 553, 602, 473, 166, -319, -982?\n\"Answer: -89*b**2 + 494*b - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 + 14*j**2 - 1962*j - 18. Let z(f) = f**3 - 6*f**2 + 980*f + 8. What is -4*k(r) - 9*z(r)?\nAnswer: 3*r**3 - 2*r**2 - 972*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*l + 122 + 72, 2*d = -l + 423. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 215, 872, 1969, 3506?\n\"Answer: 220*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38515, 78990, 119475, 159976, 200499, 241050, 281635, 322260?\n\"Answer: t**3 - t**2 + 40471*t - 1956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115 is divided by 222.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/29 and -73\/1624?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 7*y**3\/6 - 11*y**2\/2 - y. Let i(m) = 3*m - 5. Let a be -4 - (52\/4 + -8). Determine a*i(h) + 4*f(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1840\/9 - 36809\/180. Find the common denominator of q and -2 - 11\/144*3.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6540041 (base 8) to base 14\nAnswer: 338c6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmnss. Give prob of picking 1 m and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 71*b - 99 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3864675 + 2142*b**2 + 2161*b**2 - 4306*b**2 + 6810*b.\nAnswer: -3*(b - 1135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5596287.\nAnswer: 3, 37, 50417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 2*p**2 - 2*p + 3. Let a be o(2). Suppose 4 - 12 = -4*l. Suppose -l = 2*m + 8. What is the second smallest value in 1\/8, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjr when three letters picked without replacement from tfkkzzttkztfkjr?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*h**2 + 56*h - 1 - 56*h.\nAnswer: -167*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -144*(((-3718)\/(-18))\/(-11) + 19)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9110775551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64915267?\nAnswer: 19, 1049, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321 (base 6) in base 8?\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - c**2 + 2*c**2. Let f(o) = 316*o - 920. Let t(a) = -474*a + 1472. Let p(y) = -8*f(y) - 5*t(y). Determine w(p(q)).\nAnswer: -49928*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.18 - 2.3. Let r = 100.88 - h. Let a = r + -100.99906. Round a to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1176007 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.2 (c) -2 (d) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2220, 12272, 30160, 55884, 89444, 130840?\nAnswer: 180072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29701*m**4*s**2 - 2*m**4*s + 5*m**3*s + 116*m**2*s + 700*m**2 + m + 2*s**2 - 1 wrt m?\nAnswer: 712824*m*s**2 - 48*m*s + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229634, -229625, -229610, -229589, -229562?\nAnswer: -229529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*a**3*f**2 + a**3*f - 13*a**3 - 1404*a**2*f**2 wrt a.\nAnswer: 1608*f**2 + 6*f - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -7) + 38 + -9 + 20 + -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.0529.\nAnswer: 2.0529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8806, -8805, -8804?\nAnswer: -8803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-26) - -4)*8\/42?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 225*n - 310. Give a(-81).\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*40.369.\nAnswer: -40.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.1 (c) 14\/3 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(20)\/(sqrt(4) + sqrt(16)*-5) - (-2 + ((2*sqrt(80))\/sqrt(4))**2).\nAnswer: -78 + 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101972, 8, -28 in increasing order.\nAnswer: -28, 8, 101972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose -4*r - 4*v = t, 0 = 2*r - 3*r + 3*v. Solve 4*j + r*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, e: 3, i: 1, o: 1, c: 2, l: 3}. Give prob of sequence eso.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623, 1247, 1871?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -29. Let t be 51\/15 - 2\/6. Let j = -12\/5 + t. Put l, j, -1\/8 in decreasing order.\nAnswer: j, -1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983.191 centuries in months?\nAnswer: 4779829.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4309 and 1655351?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 - 1.5. Let p = z + -2.9999935. Round p to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541436473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/39 (b) -6 (c) 1\/10 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10472 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 + t. Let c be h(2). Let s = -13 + c. Let p = 17 + -10. What is the remainder when s is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4164 + 12428\/3. Find the common denominator of -97\/495 and m.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/70184 and -91\/36?\nAnswer: 631656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*q - 47*q - 19*q**2)*(-33 - 44 + 97).\nAnswer: -380*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**3*l - 2*f**3*m**3 + 39*f**2*l*m**3 - 5*f*m**3 + 12*f*m**2 wrt l.\nAnswer: 3*f**3 + 39*f**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 13*o - 14. Let a = -8095 - -8099. Give v(a).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*o + 60 - 60 to the form m*o + z and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*p**3 - 16*p**3 - 21*p**3 - 19*p**3 - 17*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 11. Let c be i(-9). Factor -6*m - m**2 - 2*m**c + 3*m.\nAnswer: -3*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3771143866 + 3771030547.99988. Let b = 113325 + o. Let t = b + -7. What is t rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -113*y - 91*y**3 + 228*y - 2*y**2 - 116*y. What is the units digit of j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*w - 12. Solve -w = u - 4*v, 2*u - 3*v = -2*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*g - 187 - 23, -c = 2*g - 109. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - z + 2)*(-5 + 0 + 3 + (-6 + 4 + 5)*((1 - 4 + 1)*(4 - 3 + 1) + 3 - 3 + 2)) to the form g + h*z and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86165803 from 10.8.\nAnswer: -86165792.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 30*o + 15 = 5*u, -61*u + 125 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 56 - 17)*(-2 + 4 + 0)*(g**2 + 2*g**3 - g**2) in the form o*g**2 + t*g**3 + p*g + d and give t.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 524727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -15, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -3\/2, 2, -5, -223?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.9057 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -169, -248, -327?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64586?\nAnswer: 2, 43, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 5, 5\/12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, 1, -26 in descending order.\nAnswer: 2, 1, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**2 - 3\/4*n**4 - 5*n + 0 + 0*n**3 + 7\/20*n**5. Find the third derivative of k(z) wrt z.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-76)*18\/450)\/((-12)\/60).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.05831466 rounded to two decimal places?\nAnswer: -26.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11794818 to the nearest integer?\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 29*t**2. Let w(c) = -2*c**2. What is r(w(i))?\nAnswer: 116*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560, 1118, 1676, 2234, 2792?\nAnswer: 3350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23355884*c**4 + 2443320*c**2 wrt c.\nAnswer: 560541216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssfkvsfveez. Give prob of sequence fzk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/227 (b) 2 (c) 596\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 22*n - 2*n. Determine x, given that n - 3\/2*x**4 - 3*x**3 + 0*x + 0*x**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2604, 10381, 23378, 41613, 65104?\nAnswer: 93869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59639987\/165900 - 28398\/79. Find the common denominator of l and 131\/280.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -710*m - 1714*m - 43*m + (-1 + 2 - 3)*(2 - m - 2) to the form v*m + a and give v.\nAnswer: -2465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1220*m**2*n*v - m*n - m*v + 913*v wrt m.\nAnswer: 2440*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c48 + -150?\nAnswer: af8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 395515 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 37. Let b(p) = 27*p - 27*p + 10 - p**d. Suppose 2*u + 4*o - 8 = 0, 4*u - o = 3*u - 2. What is b(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((276\/14)\/(-69))\/(2\/(-140))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 28. Calculate f(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(384) - sqrt(384)*1))\/(sqrt(16)\/sqrt(2)*-1) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(275) + 3)**2 - (sqrt(275) - 5*(1 + sqrt(275))).\nAnswer: 50*sqrt(11) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 8116?\nAnswer: -8115.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let q(o) be the third derivative of o**4\/24 + 5*o**3\/6 - 3*o**2. Let u(s) = -2*s - 6. Let p(v) = 6*q(v) + 5*u(v). Calculate h(p(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2 + 18 + (27 - 49).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/4*l**2 + 1\/2*l - 1\/2*l**5 + 0 + 5\/4*l**4 + 0*l**3 = 0. What is l?\nAnswer: -1, 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -32?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.7 and -1062.143.\nAnswer: 4992.0721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/((m*m**(3\/10))\/m)*m*m*m)\/(m\/(m\/(m**(-4)*m))*m))\/(m*m**(-6\/5)\/m*m\/(m\/((m\/(m*m**(-8\/7)))\/m*m))) assuming m is positive.\nAnswer: m**(543\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 780 + -784. Let t be (12\/(-9))\/((-2)\/3). Let l be 8\/(-26)*4\/(-8). Sort t, -9, s, l.\nAnswer: -9, s, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/2 + (-3)\/6. Let s(n) = -3*n**3 + 2*n**3 + 7 - 4*n**2 + 9*n - 3*n. What is the units digit of s(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087337910 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 - (-102)\/(-30))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 4. Let m(w) = -w + 5. Let u(h) = -4*m(h) + 6*t(h). Let n = 4 + -1. Let b be u(n). Is b not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by (2 - 15\/6)*(-76)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 3 = t - 0 - 3 - 1, 3*t + 3*i - 111 = 0 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 3 + 3*r**2 + 7 + 4*r**2.\nAnswer: 7*r**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1093588*134\nAnswer: -146540792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5023 - 1304. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let v(i) = 22763*i. What is v(q(w))?\nAnswer: -45526*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 233 in -73, 0.4, -2\/3, -5, 4, -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-36)*(-320)\/(-560).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 + 252. Let r be (-37)\/(-5) - (-6)\/(-15). Calculate the greatest common factor of w and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**3 + 19*o**3 + 0*o**3 + (1 - 1 - 2*o)*(3*o**2 + 2*o**2 - 3*o**2) + (2*o + o**2 - 2*o)*(2*o - o - 3*o) + 0*o**2 + 0*o**2 - 2*o**3 - o**3 - o + o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011001120111112 - 11?\nAnswer: -11011001120111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -26, -24, -18, -8?\n\"Answer: 2*n**2 - 8*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0 - 2 - 1 + l**2 - 2. Determine c(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p + 4*p**3 - 7 + 9*p**3 + 7*p**2 - 19*p**3 + 5*p**3. What is b(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x + 74 = -2*x, 79 = 3*v + x. Find the common denominator of -67\/2 and (1*-1)\/(v\/371).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from uupnnpuuuuuuu?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 7 = -32 + 63 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033 (base 5) to base 14.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j - 12. Suppose -6*h + j*h - 2 = 0. Let y be (4 - 26\/6) + (-38)\/(-60). Are y and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/12)\/(4*(-4)\/(-32)). Suppose -2*k + 3*k = -2*o - 5, 4*o + 25 = 3*k. Let n(l) = -k*l**2 - 3*l**3 + 3*l + 2*l**3 + 3 + l**2. Determine n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 65095920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37\/12 + -17\/6. Let f = -0.08339 + -0.31661. What is the second biggest value in f, w, 0.13, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -0.09 in decreasing order.\nAnswer: 5, 0.4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95.66 - 97. Round g to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 52. What is the common denominator of -8\/9 and (-123)\/24*m\/(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187 - 2611*c**3 + 856*c**3 + 140 + 16*c wrt c.\nAnswer: -10530*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffuaudaamdmmffmmf. Give prob of picking 1 d and 1 a.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 16*w - 26*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12211861?\nAnswer: 31, 393931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:57 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 2*l + 1. What is g(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0605598837 to four dps.\nAnswer: 0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -7*l - x - 55, -4*l + 45 = -3*x. Is 13 a factor of 2334\/l - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, -481, 6 in ascending order.\nAnswer: -481, 6, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011100011011 + -1100?\nAnswer: 11010011100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -62. Suppose 4*m = v + 1. Let 0 + 2\/9*k**m - 4\/9*k - 2\/9*k**2 = 0. Calculate k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -452*w + 19637. Let r be s(43). Let o(d) = 45*d - 1. Let p be o(3). Calculate the highest common divisor of p and r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10130220012 + 1?\nAnswer: 10130220013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4*w - 5*w)*(-4 + 0 + 3) + 0*w - w + 3*w + 0*w + w + w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y**3 + 4*y**2 + 2*y - 2. Let z be h(-3). Let x = z - 86. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20\/9 (b) 0.5 (c) -5\/2 (d) 23 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1609005 by -107267.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:55 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 575\/3105*12\/10. Which is the biggest value? (a) 3 (b) 1\/4 (c) 0.15 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:47 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3374, -3180, -2986?\nAnswer: -2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 - 3)*(-v - v + 3*v)*(6*v + 389 - 389) to the form i*v**2 + l*v + y and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -2328818.8.\nAnswer: 256170.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -855*q + 430*q + 413*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 32, 60, 94?\n\"Answer: 3*a**2 + 13*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -19\/5, 1\/11 in descending order.\nAnswer: 2, 1\/11, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djuuqq. What is prob of picking 1 u, 1 j, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29895501, -29895508, -29895515?\nAnswer: -29895522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11295 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -8)\/(-9 + 0). What is the third biggest value in 2, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817919 divided by -4.\nAnswer: -817919\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5147454 by 39.\nAnswer: 131986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 4 - (-1 - (-1 - 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**7\/3150 + b**6\/225 - b**5\/50 + b**4\/6 + 3*b. Let v(p) be the third derivative of n(p). Suppose v(s) = 0. What is s?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 - 8*l - 4. Suppose -4*x - b = -3*b - 46, -x + 34 = -5*b. Let j = x - 15. Let q be c(j). What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6 - 3*o + 1 + 0*o + 2*o. Let h be v(7). Suppose 0 = 3*s + 2*n - 819, h*s + 2*s + 2*n - 544 = 0. Calculate the highest common divisor of s and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**3)\/(y**14\/y) assuming y is positive.\nAnswer: y**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-154)\/(-21))\/(2\/(-3)). Let g = 38 + z. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5721 + -0.4279. Let x = 0 - -0.2. Let k = x + -0.19. Put n, k, -0.2 in descending order.\nAnswer: k, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than or equal to 1205\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*r**4 - 10909*r**3 - 9*r**2 + 5785*r - 1?\nAnswer: 2136*r - 65454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.25969 litres to millilitres.\nAnswer: 30259.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - -11. Suppose -3*p - 34 = -2*p. Let f = p + m. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 369*c**2\/2 + 7*c - 2. Let x be w(5). Is 1 - x\/(-5) - (-12)\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -197. Solve k = 5*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200*o**4*w**2 - 2*o**4*w + 2*o + 2052*w**2 with respect to o.\nAnswer: 800*o**3*w**2 - 8*o**3*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 520729 and -35813.\nAnswer: 484916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2831894562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7*(-4)\/((-16)\/(-28)). Solve 3*v - 2 = q*j - 0, -4*j - 4*v - 24 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -1\/4*j**4 + 1\/3*j**3 + 26*j + 28 + 1\/2*j**2. Give k(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18251029605130 + -1\nAnswer: 18251029605129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -87, -4, 5, 0 in descending order.\nAnswer: 5, 0, -2, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -6, 4, 32, 84, 166, 284?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -336247603 and 0.01.\nAnswer: -336247602.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*d**2 - 622*d**2 + 124*d**2 + 135*d**2 + 126*d**2 + 121*d**2.\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, j: 3}. What is prob of sequence sjsj?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbappbnbnbbpb. Give prob of sequence npp.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 - 13*d**2 + 9*d**2)*(4 - 1 + 2*d - 5).\nAnswer: -20*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -11883531250.\nAnswer: 11883531253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + (87 - 85) - -51.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m. Let v(h) = -8*h - 33 + 25 + 13 + 15*h + 15*h. Give v(b(d)).\nAnswer: -220*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/67 + 53\/469. Let w = -0.21 - 0.79. Which is the biggest value? (a) -0.4 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhbjbjbbaaaaya. What is prob of sequence yjha?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 107\/41 (b) 0 (c) 1.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.582278 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -17, -27, -39, -53?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 11\/(220\/1328) - 4\/10?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4437566581 to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 13*p**2 + 27*p - 43. Determine m(-8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -1\/3*x**3 - 1 + 4*x + 9\/2*x**2. Let o be b(7). Solve -h + 2*q = -3*h + 14, 4*h - o = q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfccvvvccn. What is prob of picking 1 c and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*q = -11, 11 = -3*u - 3*q + 2. Let z = -11 - 2. Let c = u - z. Calculate the remainder when 29 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/2687?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -291 - -511. What is the greatest common divisor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28690 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/5*u**3 + 1\/15*u**4 + 5*u**2 - 1\/150*u**5 + 0*u + 0. Determine z, given that g(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 + 10\/4. Let o(l) = l**3 + 5*l**2 - 9*l - 14. Let a be o(-6). Suppose -q*m = 4*p - 6, 4*p + a = -0*p. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.192 + 1.192. Which is the biggest value? (a) -2 (b) -0.4 (c) -1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 4. Let w be k(8). Let o be (0 + (-2)\/(-6))\/((-104)\/312). Put o, 5, w in ascending order.\nAnswer: w, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1142 - -2847. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49053134 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 13*r - 12. Let n be i(12). Let j(v) be the first derivative of 0*v + 4\/3*v**3 + n*v**2 - 3. Let p(a) = 2*a**2. What is p(j(w))?\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.8475 rounded to 0 decimal places?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = 4*h. Let j be h\/4*4*4. Let r = j - -11. Solve r*g = 3 - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 762.8 and -75?\nAnswer: -57210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006854472325 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:06 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -1.4, 51, -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -28*y + 486. Solve 2*u = -y + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6)\/((-30)\/5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 15*b + 5. Let g be v(6). Suppose 7*t + 208 = g*t. What is the derivative of -7 - 5 - t*p**4 - 28 wrt p?\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 99*c + 1571*c**2 - 20032*c**2.\nAnswer: -18461*c**2 + 99*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**3*v**2 - 192*p**3 - p*v**2 - 13*v wrt v?\nAnswer: 4*p**3*v - 2*p*v - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -4\/5 (b) 6 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:05 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 + 43*u - 425. Give o(25).\nAnswer: -1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-8)\/76 + -4*(-225)\/3135)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4326910485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 170. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163535 is divided by 815?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0 + 4*f + 0. Let l(s) = -7*s**2 - 5*s - 5. Let g(b) be the first derivative of 2*b**3 + 2*b**2 + 4*b - 1. Let q(c) = -5*g(c) - 4*l(c). Give z(q(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8461*z = -39583 - 73842 - 55795 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2) + -376 + 388?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 - 51*t. Let q(d) = -4816*d. What is q(v(z))?\nAnswer: 19264*z**2 + 245616*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14. Find the first derivative of -4 - 5*w**f - 1 + 7*w**3 wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/18 + (-693)\/(-54). Let q = l + -11. Let u be (-4)\/(-10) + ((-9)\/(-15) - -1). Solve q = -g - u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/13*(-8)\/(-24)*(-4)\/(-2).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -29?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvavparrhavmrh. Give prob of sequence rr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549293*i + 549255*i = -950 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 330*x**2 - 1608*x + 1280.\nAnswer: -2*(x - 160)*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 186*m - 792. Let o be b(4). Sort -5, o, 186.\nAnswer: -5, o, 186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18935 + 18735.42. Let m = 204 + p. Let d = m + -0.42. What is the smallest value in d, -1.4, -2\/5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*s**(5\/2))*s*s*s*s**4\/s)\/(s*s**2)**(-5\/4) assuming s is positive.\nAnswer: s**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19885339, 39770676, 59656013, 79541350?\nAnswer: 99426687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2202\/11 - 200. Let w = -0.393 - 0.037. Let l = w - -2.43. Which is bigger: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 30288577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012121220 (base 3) to base 12.\nAnswer: -11920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3612, 1521, 1, -4 in increasing order.\nAnswer: -3612, -4, 1, 1521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017125 to six decimal places.\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 190*m**3 + 1800*m**2 + 6750*m - 118125.\nAnswer: 5*(m - 15)**3*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 5*k = 165, -4*y - 3*k + 146 = 0. Let p = 5 - 0. Suppose y = -p*j + 100. Solve -1 = -4*w - j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2231, 2434, 2639, 2846?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3829209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82265\/6 - 13630. Let i = -81 + s. Let u(g) = -3*g**2 - 2*g - 1. Let z be u(-1). Which is the third smallest value? (a) z (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -15, 37, 107, 195?\n\"Answer: 9*o**2 + 7*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 110110010101?\nAnswer: -110110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -51971 at most -51937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqqm when four letters picked without replacement from cqccamaqaaar.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16277, -26865, -37415, -47909, -58329?\nAnswer: -68657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -167 - (92 + (12 - 71)).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 6*p - 249. Let d be c(12). Let t = d + 135\/4. Factor 0 - 9\/4*s**3 - t*s - 9\/4*s**2 - 3\/4*s**4.\nAnswer: -3*s*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -99. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24.5, -0.2, -0.5, 2, 12, -0.13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142812 and 28629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -12) + -1 + 0 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*s**2 + 99106*k + 320215669*s**3 - 204 with respect to s.\nAnswer: 4*k*s + 960647007*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -143, 2 in increasing order.\nAnswer: -143, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7*x*(x\/x**(1\/3))\/x*x)\/(x**0)**(2\/9))**2 assuming x is positive.\nAnswer: x**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225250, 225249, 225248?\nAnswer: 225247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u + 204 = -34 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 116.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -98, -133?\n\"Answer: -35*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245776 by 8.\nAnswer: -30722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/4 - (91\/(-14))\/(-13). Solve f + 4*a - a = 1, 2*f = g*a + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1880 - -1235. Let c = t + 287. Let f = 845 + c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7331629*r**5 + 3102920*r.\nAnswer: -146632580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 246712 divided by -123356\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19584)\/192*(8\/(20 - 12) - 8\/6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301 + -138. Let d = g + -167. Put d, 4, 0.3 in descending order.\nAnswer: 4, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6.665. Let u = 135.665 + v. Let w = u - 135.37. Round w to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43237404 divided by 5334.\nAnswer: -8106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*(a*a\/(a*a**(-2\/3)))\/a*a)\/a**(-2\/3))\/((a*a*a**(-1))\/a)**38)**4 assuming a is positive.\nAnswer: a**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -0*w. Suppose 0 = -4*j - w + 74. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*a + 2*a + 2*a)*(a + 3*a - a) in the form y + f*a + u*a**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k**2 + k. Let u(m) = 7*m**3 - 13*m - 5. Let w(p) = -6*r(p) - u(p). Let j be w(-7). Solve 2*n - 7*n + 4*g = -21, 0 = -3*n + j*g + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/14*-8*(-949 + 950). Suppose l*x + 3\/7*x**3 + 12\/7 + 15\/7*x**2 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 1030*n**2 - 10*n - 130. Let f(h) = -3*h**3 + 2058*h**2 - 22*h - 254. Let u(i) = 4*f(i) - 9*v(i). What is the second derivative of u(o) wrt o?\nAnswer: -18*o - 2076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-26)\/24)\/((-5)\/(200\/(-5))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - i + 11 = 10*k, -2*k + 2*i = -18. Let d(y) be the first derivative of -k - 3*y**2 - 1\/3*y**3 + 0*y. Find the second derivative of d(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 192 - 132. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1051217925 divided by 210243585.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*y + 1810 = 0, 0 = 2*y - y + 5. What is the tens digit of (-32)\/10*l\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15771)\/8261*(-4)\/(-42).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {w: 3, k: 1, l: 7, z: 1, q: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/(-898)) + -2. Let k(l) = -21*l**2 - 4*l - 36. Let b be k(-6). Let w = z - b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 172 = 4*p, 2*p + 109 - 275 = -2*v. Suppose -81*x + v*x = -2. Solve -3*z + 1 + x = -4*r, -r = 2*z - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -599\/39 or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 487 + 491 + 6*n - 2*n. Give i(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66, -141, -214, -285, -354, -421?\n\"Answer: c**2 - 78*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**2 + 10*k - 4. Let j be c(-5). Suppose 0 = i - j - 351. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36967, 36942, 36917?\nAnswer: 36892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5381857*m**4 - m**2 - 2*m - 1621393 wrt m?\nAnswer: 64582284*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**3\/3 - 4*m + 15. Let p be z(6). Let l = p - 27. Calculate the highest common factor of l and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16524 and 4.\nAnswer: -0.66096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 - 131 = -3*y. Solve -y = -6*f + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)\/j)\/j)**(-1\/47)\/(j\/(j**(-3\/7)*j))**(-31) assuming j is positive.\nAnswer: j**(4413\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) - (-8)\/(-3). Let r = 254 + -254. Which is greater: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l - 39*l + 1612 - 1671. Is l greater than -1\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1594 = 394. Which is smaller: 299 or h?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/134391807 and 41\/72.\nAnswer: 1075134456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/132)\/(((-10)\/(-45)*1)\/2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64575054 to the nearest integer?\nAnswer: 8036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 43 + -3 + -30.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 4:35 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 7*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/6 - 2*x + 2. Let t(a) be the first derivative of d(a). Let l(z) = -z**2 - 4*z + 4*z. Determine l(t(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1\/2*v**2 + 0*v**4 + 0*v**3 + 0 - 3\/10*v**5 + 9*v. What is the first derivative of x(p) wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -49*u**4 + 28*u**3 + 192*u**2 - 112*u + 16 = 0.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*u + 128*u - 1 - 4*u**2 + 18*u**5 + 4*u**2 + 0 - 5*u**2 wrt u?\nAnswer: 360*u**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2110 and 7\/10004.\nAnswer: 10554220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23196, -47674, -72152?\nAnswer: -96630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-3) - (-2)\/6. Let h(b) = 8*b**2 + 8*b - 5. Is h(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59135 + -0.05.\nAnswer: 59134.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 3. Let r(d) = 2807*d + 1. Give r(q(l)).\nAnswer: 8421*l - 8420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/41694770 and 73\/670?\nAnswer: 41694770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*m + 3*m - 2 = 0, m + 7 = 2*d. Let n = -1 + d. Let a(q) = q + 1. List the prime factors of a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 19 = 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -436.0957006 to two decimal places.\nAnswer: -436.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3632390 and 293564.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x. Let z(f) be the third derivative of 1\/30*f**5 + 0*f**3 + 0 + 2*f**2 + 0*f**4 + 0*f. Calculate m(z(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o - 316 = -120*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*w = -94*w - 96. What is the lowest common multiple of 212 and w?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = 3*l + 2, -11 = -2*u + l. Suppose -31 = -u*h + 13. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h + 2 = 0. Let m = 27\/2 - 40\/3. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96.21 + -89.271. What is c rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 - 6*l - 6*l + 14*l. Let x be s(2). Is x\/(-12) - 2974\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 h when three letters picked without replacement from hppppppppppphph?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g = -i - 15*g + 87, -3*g = 4*i + 51 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40522 + -0.0397.\nAnswer: -40522.0397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {u: 7, t: 8, z: 2, f: 3}.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-110)\/(-25) - 36\/(-10). Solve 3*l + 18 = -5*b, -4*b - 13 = -h*l + 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - d + 296. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + o + 3 = 28*w, -6*o + 10 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let b(u) be the second derivative of 0*u**2 + 2*u + 2\/3*u**3 + 0. Give b(h(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.02 - 2.6. Let c = d + 4.58. What is the third smallest value in 4, 1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4682901 millilitres to litres.\nAnswer: 0.0004682901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**3 - 155*t**2 - 2*t - 58. What is i(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - l - 383 - 20*l**2 - 9*l**2.\nAnswer: -29*l**2 - l - 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (7 - -4) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.3711ml in litres?\nAnswer: 0.8083711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70300 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 559?\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Let g = -4 - -10. Let f be ((-44)\/g)\/(2\/6). Let o = 19 + f. Determine s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u - 14*u + 3290. Let t = u + 414. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -c + 5, 20 = 9*v - 4*v. Suppose -4*l + 199 = -193. Suppose 0 = 2*t - l - 64. What is the greatest common factor of c and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-251104992.\nAnswer: 251104992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 - 8*t - 4. Let x(p) = 3*p**2 + 7*p + 3. Let d be 12\/2 + (-5 - -8). Suppose 4*o - 32 - 7 = -5*k, -2*o + d = -k. Determine o*x(y) + 5*i(y).\nAnswer: -2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from udppudduupp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**10*z)\/(z*z**21)*(z\/((z\/z**(-2))\/z))**25)**(12\/5) assuming z is positive.\nAnswer: z**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let w(h) = j + h**2 + h**3 + h - h**2 - 4. Let q be w(2). Solve 4*a + q = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s + 32 = -640. Solve -3*q = 2*d - s, -d + 2*q - 5 = -3*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730188 is divided by 365082.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2256 - 3.22. What is q rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(25) - sqrt(75)\/sqrt(3)))\/(4*sqrt(10)\/sqrt(2)) - (5*2*(sqrt(5) + -1) + -2).\nAnswer: -10*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -1.97. Let u(o) = o + 3. Let b be u(5). Suppose -3*n + b*n + 25 = 0. What is the closest to 0 in n, 4\/7, g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 - 183*p\/4 + 195.\nAnswer: -3*(p - 4)*(p + 65)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2276442, 2276464, 2276500, 2276550, 2276614, 2276692, 2276784?\nAnswer: 2276890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122119183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 12*n = -41 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12120 * -4.\nAnswer: 48480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263793648.\nAnswer: 2, 3, 43, 127807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:12 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3200 - 4?\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Suppose -23 = -8*g + 3*g + i, g = 3*i - b. Suppose g*u - y - 27 = 0, 9 = 2*y + 3. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 74 = 11. Let x = -257\/3 - a. What is the third biggest value in 2, x, -1\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5633777990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sesuuussuss. What is prob of sequence uu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.506853 to 3 dps.\nAnswer: -0.507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + 22. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 1966.6.\nAnswer: 137.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i - 2. Let r be c(-3). Solve -n + 2*n - 2 = -2*d, -5*n = 2*d - r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t - k + 21 = 36*t, -24 = -5*t + k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 2, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -168338588, -168338591, -168338594, -168338597?\n\"Answer: -3*w - 168338585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195606076 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 227605003 to the power of 1\/2, to the nearest integer?\nAnswer: 15087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*h - 226 - 244, -1223 = -5*z - 2*h. Let u be 2 + z\/7 - (-2)\/7. Is 36 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a factor of 609882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 235004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -35784*i**3 - 852*i**2 + 426. Let n(v) = 421*v**3 + 10*v**2 - 5. Calculate -5*k(a) - 426*n(a).\nAnswer: -426*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*81.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11964*d**2*g**3*p + 3*d**2*g**2 - 2*d**2*o*p - 340*d*g**3*o - d*g**2*p - 1171*g**2*o - 2*g**2*p + 12*g wrt g.\nAnswer: 71784*d**2*p - 2040*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -163\/3, 3, -0.2, -5, -0.1 in increasing order.\nAnswer: -163\/3, -8, -5, -0.2, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**2 + 31*g - 13. Let q(o) = -3*o**2 - 10*o + 4. Let d(v) = -2*n(v) - 7*q(v). Let r(b) = -11*b - 236. Let j be r(-21). What is d(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -84537\nAnswer: 8453.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.861697us to nanoseconds.\nAnswer: 3861.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50720 and 1756180.\nAnswer: 14049440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2396 and 43727.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36107094 is divided by 2580?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (-10)\/3. Suppose -z = q - 5*q + 3*j, 0 = 4*j - 16. Suppose 0 = -q*s - 0*s - 16. Let w(b) = b + 5. Calculate w(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 20, w = -4*o - 385 + 90. Let l = w + 308. Which is the closest to 2\/29? (a) l (b) 3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 14*w - 12*w. Let c be (w\/(7\/2))\/((-3)\/24). Let k be (-8)\/(-44) - 57\/11. Which is bigger: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*c**3 - 41*c**3 + 22*c**3 + (-c**2 - c**2 + 3*c**2)*(-c - c + 0*c) + (5*c**2 - 4*c**2 + 5*c**2)*(-12*c + 4 - 3 + 0).\nAnswer: -62*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140a (base 12) to base 9.\nAnswer: -3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 4. Let d(x) be the second derivative of -2*x**3\/3 + 3*x**2\/2 + 5*x. Determine 6*d(k) - 5*n(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1087?\nAnswer: -5435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1108543 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {f: 4, i: 1, e: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 39, 309678.\nAnswer: 1, 39, 309678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337706 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: Which is the second biggest value? (a) 0.5 (b) 0.02 (c) 5\/13 (d) 3 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8)\/r**10 assuming r is positive.\nAnswer: r**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + 6256?\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53375 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -449193.01 - 3092862?\nAnswer: -3542055.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 28. Calculate w(31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240693 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9 + 10 + 6*i + 2 - 3*i. Let y(j) = 4*j + 4. Let k = 0 - -6. Determine k*h(n) - 5*y(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 207? (a) -0.4 (b) 1.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -0.1.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21622343 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + 0.09. Let v = 5.03 + c. What is the closest to 0.1 in 0, v, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -13b0?\nAnswer: -13b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 0*b**4 + b**4 + (-4 + 4 + 5*b)*(-1 - 2*b**3 + 1).\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 148904?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t - 42*t - 162 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 9*i + 2*i**3 + 45 + 2*i.\nAnswer: 2*i**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*o - 4, 0*o + 5*o + 5 = 5*c. Suppose -m + 162 = -2*a, -c*a = -4*m + 360 + 303. Which is smaller: m or 170?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 5*h**2 - 13*h - 1. Let d be g(7). Solve 4*f + 3*x - 3 = 0, -4*x + 18 = 4*f - d*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = 5*g - 0*g. Does 30 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.67745 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 + 86*f**3 + 2*f**2 + 3218*f.\nAnswer: 24*f**2 + 516*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(624)\/sqrt(3) + sqrt(13))*-6*1 - (-4*-2*sqrt(143) - sqrt(143))\/((sqrt(539) - sqrt(539)*-2) + sqrt(539) - sqrt(11)))**2.\nAnswer: 212496037\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 + -14a96?\nAnswer: -14a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3140118 and 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2251090 to the nearest ten thousand.\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1017*q**5 - 6*q**4 + 6*q**2 - 55*q + 10. Let p(i) = i**5 + i**4 - i**2 - i. Let t(h) = 6*p(h) + x(h). What is the second derivative of t(l) wrt l?\nAnswer: -20220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 4, -1, 188, 57 in ascending order.\nAnswer: -1, 4, 17, 57, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**7\/360 - 3*f**4\/4 + 6*f. Let o(j) be the third derivative of u(j). Let c(z) = 2*z**2. Calculate c(o(i)).\nAnswer: 98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20944)\/1938 - -11 - ((4 - (-2)\/12) + -4).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 467, 1379, 3097, 5891, 10031, 15787, 23429?\n\"Answer: 45*i**3 - 2*i**2 + 67*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o + 13. Let j(l) = 4*l - 12. Let v(a) = 6*b(a) + 7*j(a). Let d be v(-4). What is the second derivative of -4*g**4 - d + 0 + 2 - 6*g wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**14)**25*p**(-4)*p**29)**(-7\/5) assuming p is positive.\nAnswer: p**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -328619 greater than or equal to -4272046\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 261. Differentiate -3*h - 6*h**3 + 3*h + 96 - u with respect to h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - 2*y)*(0*y - 4*y + 3*y) + 3327*y**2 - 4872*y**2 - 4840*y**2.\nAnswer: -6386*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 2, h: 1, x: 1, f: 1, v: 1}. Give prob of sequence fh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 2*t**2 - 1259*t**3 - 183*t**3 + 73 - 2*t**2.\nAnswer: -1442*t**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 7 = 2*y, -7*y + 6*y - 26 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 6 + 15 - 3*l**3 - 9.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*s = -343 - 177, -10 = -2*s. Let q(m) = -3*m**3 + m**2 - m - 1. Let c be q(2). Let g = c + 43. Calculate the highest common factor of g and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 330611, 661205, 991799, 1322393?\n\"Answer: 330594*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 222356576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023109636 rounded to seven dps?\nAnswer: 0.0002311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 261665797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 50. Sort z, -1, -5 in increasing order.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 30, 75, 158, 291, 486, 755, 1110?\n\"Answer: 2*d**3 + d**2 + 2*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 45492.\nAnswer: 136476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-90)*(9\/9 - 4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.6 in 4\/7, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8200 and 3800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -46?\nAnswer: -5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1923b16 + 1?\nAnswer: 1923b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 105 times 4\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 2*l + l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 1.85, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**5\/12 - 695*j**4\/6 - 193210*j**3\/3 + 268*j**2 - 2*j + 1. Determine y, given that s(y) = 0.\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 3*w - 4*w + (1 - 4 + 1)*(2*w - 2 + 2) + 0*w + 0*w - 2*w - 149*w + 3*w + 641 - 644.\nAnswer: -153*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:07 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*i = -3, -47*i + 8 = 4*c - 50*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 63.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780 plus 0.71399?\nAnswer: 1780.71399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y - 5*v = 10, 4*v + 16 = 0. What is the lowest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 3 (b) 0 (c) -11321 (d) -1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 150 = 38. What is the remainder when n is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/920 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -16*g + 10. Let x be g*-7 - 450\/(-60). Suppose 0 = 2*h + 2*p + 16, 0 = -4*p + 7 - 23. Which is the second smallest value? (a) -0.1 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -35. Is 20972\/12 - (f\/9 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7557\/5 or -1510?\nAnswer: -7557\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.2, 148, -28\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/4)\/(-2 - 24178\/(-12088))?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d = -11*d - 112. Let l(i) = -5*i + 1. Let r(m) = -8*m + 1. Determine d*l(h) - 5*r(h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 54 (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10462 is divided by 491?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.05, -0.1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 33*p**2 - 2. Let y(h) = 21*h + 25*h - 116*h + 27*h + 37*h. What is y(o(c))?\nAnswer: -198*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 25*h + 48. Let z(t) = -66*t - 258. Let y be z(-4). Let f be j(y). Let s(r) = r**3 - 7*r**2 + 8*r - 8. Give s(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39.7958+-152\nAnswer: -112.2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0*y**2 + 0*y**2)*(-4*y + 2*y + 4*y) - y**3 + 2 + 0 - 9.\nAnswer: -3*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + g = 713 + 14402, -3*g - 15 = 0. Suppose -f + 8*f = c. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(2) + -1 + sqrt(14)\/(sqrt(42)\/sqrt(6))) - (-1*sqrt(64))\/(sqrt(200) + sqrt(200)*2)*-1.\nAnswer: 3 + 88*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-7110)*32013 + -26 + (-14 - 5)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*i - 225, 3*j = j - 3*i + 107. Suppose 5*y = -2*u + 182, 2*y - 127 - j = -2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114169 divided by -97.\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272.47 + 15544.53. Let g = q + -15817.29068. Let o = g - -0.29. What is o rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 694377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 11 = 2*x. Let j(h) = h**2 + 15*h + 28. Let p be j(-13). Suppose -r = p*y + 3*y - 16, r - 8 = -3*y. Solve -w = u + 1, 12 + 13 = x*u - y*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*(k*k**(-1\/4))\/k*(((((k\/k**(-1))\/k)\/k)\/k)\/k)**(17\/2))\/(k**(-2)*k*k**(-1)*k\/(k*k**(-1)*k)*k*k**(-7)) assuming k is positive.\nAnswer: k**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 57*m**2 + 1084*m + 331. Determine f(-15).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37279 + 468.718.\nAnswer: -36810.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 0*h**4 - 2*h**4)*(-4*h + 4*h + h) + (-3 + 3 - 2*h**3)*(-h**2 - h**2 + 0*h**2).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 3*p)*(0*p**3 + p**3 + p**3) - 17*p + 2 - 5*p**4 + 17*p.\nAnswer: -7*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -353?\nAnswer: -9884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19260*f**2 + 4022*f**2 - 8672*f**2 + 8566*f**2 - 19884*f**2.\nAnswer: -35228*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 65 + 2*x + 61 - 3*x**2 - 121. Determine b(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -5\/2 (b) -522 (c) -0.5 (d) -2\/9 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2, 0, -0.2, -1\/7044?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301996 and 1416156?\nAnswer: 2932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 - 4*y - 5. Let i(g) = -2*g**2 - 3*g. Let j(u) = 3*i(u) - w(u). What is j(-5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, 36, 31, 28, 27?\n\"Answer: r**2 - 10*r + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t**2 + 10. Let b be (2\/(-6))\/(-10 - (-413)\/42). Let r(c) = 65 + c**2 - b*c**2 - 66. Determine -d(p) - 10*r(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m + 5409 = 61*m. Let u = 2993 + m. Suppose -h - 4*a + 131 + 184 = 0, 0 = 4*h + 2*a - u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92476?\nAnswer: 2, 61, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b + 4990. Let s(r) = 36*r - 4988. Determine 4*s(i) + 5*z(i).\nAnswer: -i + 4998","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1538 by 21.\nAnswer: 1538\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2. Let n(i) = 5*i**2 - 10*i. Let j(h) = 7*h**2 - 12*h. Let r(o) = -5*j(o) + 6*n(o). Give r(f(z)).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y. Let a be ((-5)\/5)\/(1 - 0). Let x(l) = -6*l**3 + 5*l**2 - 9*l. Let s(p) = a*x(p) - 5*j(p). Find the second derivative of s(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 - 486 = 6*x. Suppose -s - 42 - 19 = 0. Let d = s - x. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4722 divided by -77.\nAnswer: 4722\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 598*b.\nAnswer: -2*b*(b + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322*-0.035.\nAnswer: -11.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -4 + (24 - 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/112115 and 97\/179384.\nAnswer: 896920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18099?\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31609 and 7957?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -8*r + 70. Suppose -2 = -o + w + 13, w = 3*o - r. Suppose 2 = -4*j + o. Solve -2*f = -5*g + j, 5*f + 2*g + 3 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 101131202103?\nAnswer: 101131202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -17?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - -6) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003065396 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1793247456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 644738.1mg?\nAnswer: 644.7381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11959 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7a3 (base 15) to base 9\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooocoro. What is prob of sequence or?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 12, -4*s + 2*x = 168. Let p = 51 + s. Solve -p = 2*u - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 11001101000100101001001?\nAnswer: -11001101000100101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 58*b**2 - 885*b + 205. Determine y(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1, 1, -5 in ascending order.\nAnswer: -5, -1, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -50109, -5\/6 in ascending order.\nAnswer: -50109, -5\/6, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k + 4*x = -10, -5*x = 5*k - 70. Let f = -9 + 11. Suppose a - 31 = 4*l, a + l = 8 - f. What is the lowest common multiple of k and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18254694343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 (base 12) in base 4?\nAnswer: -12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 11:51 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 106, 0.1, 2.16, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.155147 grams?\nAnswer: 5155147000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 + 4. Let f = -118 - -124. Let x(y) = 6 - 20*y**2 + 8 + f - 5. What is 15*p(c) - 4*x(c)?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6134*y + 2 - 141*y**2 - 55*y**5 - 6134*y wrt y.\nAnswer: -3300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12978, -169, 21 in decreasing order.\nAnswer: 21, -169, -12978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 17*r - 20484. Does 116 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/7 + 174*g**2\/7 - 3870*g\/7 + 3698\/7 = 0. Calculate g.\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9145223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 22 = 4*x + 50 + 20, -3*x - 21 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(9) + (sqrt(9) - -6*sqrt(27)\/sqrt(3)))\/(sqrt(9)\/sqrt(3)*5).\nAnswer: -1 + 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10553226?\nAnswer: 2, 3, 17, 157, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/60*-3)\/(20\/(-150)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/((-8)\/(-192)*(-20)\/30). Solve a*i + 40 = 355*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 164. Let s(v) be the first derivative of v**3\/3 - 102. What is s(m(w))?\nAnswer: 4*w**2 - 656*w + 26896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-406) - 4572\/(-1008).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from yqyuqnqunudquq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26823284.\nAnswer: 2, 6705821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 5 + (sqrt(192) + ((sqrt(192) + -1 + sqrt(192))*-4 - sqrt(192))**2 + sqrt(192) + -2 + 1 + sqrt(192))*6 + 2).\nAnswer: -6624*sqrt(3) + 186826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 5*k**2 + k**2 + (-928 + 4513 - k + 2312 - 71)*(-2*k + 0*k - k) as l*k + i*k**2 + p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.243 and -52.6.\nAnswer: -12.7818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 10. Let s be j(10). Let y = 2 + s. Let c = 17 - y. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -126, -256, -430?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*k + 22*r - 19*r, 2*r = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*h + 1410, -1161 = 4*a - 4*h - h. Let t = 35831\/24 - 4450\/3. Find the common denominator of (6 - (-343)\/(-56))\/((-2)\/a) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4230215\nAnswer: 2\/4230215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylyylllllylly. Give prob of picking 2 l.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/30 + 17*j**4\/24 + 2*j**3 + 25*j**2. Let l be b(13). Let g = l - -256. What are the prime factors of g?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w + 177. Let g be o(-18). Suppose 192 = 31*z + 6. Solve -5*s - z*s - g = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 351064 and 351055 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2\/(-4)*-7. Let b(v) = 2*v - 10. Is b(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3) + 21\/18. Suppose 4*k + 5*u + 16 = 0, 0*k = 5*k - 4*u + 20. Let q = k - -3. Is q less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1194*c**2 + 1192*c**2 + 5 in the form n*c + m*c**2 + y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 4*g. Let r be o(-3). Let l be 60\/(r\/88*-2). Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 12:58 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, 25 in decreasing order.\nAnswer: 25, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h - 11. Let u be z(1). Suppose -588 = -2*w - 3*v + v, 0 = 2*v - u. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 108*n - 5. Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/12 + 76*a**2. Let z(r) = -17*r. Give b(z(p)).\nAnswer: -1445*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 38284278.07 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 553, 1242, 2207?\nAnswer: 3448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403270 is divided by 66468.\nAnswer: 4462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 7*z - 40, -5*z + 84*x + 11 = 37*x + 44*x - 41 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -46*0.3\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a7 (base 12) in base 10?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 - (-994)\/22. Let m = 58 - x. Suppose 5*z - 3*f + m = -4, 5*z = -4*f + 11. Which is bigger: z or 1\/123?\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - x + 28 = 0, 240*a - 239*a + 5*x = -16 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/1 + 0)*2. Let u be c - 0\/(-3 + 4). Let x = -16 - -66. Calculate the highest common factor of x and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g. Suppose 2*s - 3*s + 31 = g. Suppose 0 = -2*m - 2*m + 44. Calculate the remainder when s is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -4, -5, -6, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -12 + -10 - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -623*k**5 - 10*k - 32 wrt k.\nAnswer: -12460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 10*x**2 + 227*x - 560. Give v(10).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 975\/4 (b) 2\/9 (c) -0.5 (d) 0 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77724 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*l + 41 - 13 = 0, -32 = 4*n - 2*l. Let z = 16 - n. Let g be (((-153)\/(-6))\/17)\/(9\/84). Solve 3*k = -k + 2*y + g, -5*k - 5*y = -z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -b28?\nAnswer: -b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*12\/(-4))\/(3*(-8)\/(-144)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1598, -5128, -11012, -19250, -29842?\nAnswer: -42788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 817783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 113, 110, 107, 104, 101, 98?\n\"Answer: -3*s + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, m: 4, e: 9}. What is prob of picking 2 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*l + 3 = 0, 0 = -889*o + 881*o - 2*l + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, 0.16 in descending order.\nAnswer: 0.5, 0.16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9050 - 576 + 94*m - 95*m in the form o*m + x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*p**4 - 4*p**3 - 107*p**2.\nAnswer: -288*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.047*25\nAnswer: -1.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 94 - 104. Let i = -28 + 27.5. Let u = -0.9 + -0.1. Which is the closest to u? (a) y (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*h - 0*a + 103, -3*a = -3*h + 75. What is the remainder when h\/2 - (1 - 3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 2, y: 1, h: 3, f: 3}. What is prob of picking 2 f, 1 z, and 1 h?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7724 is divided by 157?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2032\/(-8636))\/((-18)\/(-51))*(-18)\/(-19)\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/5750 and -103\/37950?\nAnswer: 189750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 51*a + 11 = 50*a, 5*v + 16 = -2*a. Sort 108, 0, v, 1, -4.\nAnswer: -4, v, 0, 1, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*i**3 - 13 - 9 - 6 + 24 to the form o*i + z*i**3 + t + x*i**2 and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 53*t**2 + 5*t. Let x(o) = -o. What is a(m) + 5*x(m)?\nAnswer: 53*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -225890000 rounded to the nearest 1000000?\nAnswer: -226000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/23)*g)\/(g\/(g\/(g**(-11)*g))*g)*g**(6\/7)\/(g**17*g) assuming g is positive.\nAnswer: g**(-1143\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 12:03 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-228)\/(-95))\/(8\/10). Let k(a) = -2*a + a**s + 7*a**2 - 21 + 35 + 9*a - 15. What is k(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -0.26?\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7832881795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -22 - (-1 + 2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 1000001001011?\nAnswer: 1000001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmww when four letters picked without replacement from {m: 4, z: 1, r: 1, w: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*l**4 + 97*l**2?\nAnswer: -1392*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96575.36s to microseconds.\nAnswer: 96575360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1, -15, 1 in decreasing order.\nAnswer: 2, 1, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -4, 3782, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-1\/9)\/h)\/h))**(-10\/11)\/(h**(-1))**(-32\/3))**(1\/16) assuming h is positive.\nAnswer: h**(-167\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 205217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10323?\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 59*s**2 - 32*s + 60. Let p be f(30). Sort p, 266, 4 in ascending order.\nAnswer: p, 4, 266","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602054 smaller than 2601894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154166 and 1577.\nAnswer: 12795778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 17. Let j(m) = -10 + 10 + q*m. Let n(k) = -4*k. Let u be 1 - (-1 + (0 - 0)). Give u*j(t) + 3*n(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:03 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -21*m**4\/2 - 53*m**3\/6 + m**2\/2 + 21*m. What is the second derivative of p(x) wrt x?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = s. Suppose -f + 4*l = 21, 4 = -2*f - 2*l - 38. Let p = -29 - f. Is p greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208087457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11 and 0.002.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10*i = -2*o - 20, 0 = -i + 2*o + 8. Which is the nearest to -1? (a) i (b) -1 (c) -5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:51 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -103*q - 31*q + 68*q + (2 + 2*q - 2)*(0 + 3 - 4) + 13 - 13 - 6*q.\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(0 + 5 + ((0 + sqrt(363))**2 + -2 - sqrt(363)) + -5) + 4.\nAnswer: -55*sqrt(3) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 52*p**2 + 237*p - 4. Determine m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80\/3*n - 24 - 26\/3*n**2 + 2\/3*n**3.\nAnswer: 2*(n - 9)*(n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0284687161 + 0.02847. Round d to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 163*f - 6213. What is n(49)?\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = 32*j - 2. Let s(q) be the first derivative of 6\/5*q**5 + 0*q**j + 3 + 3*q + 0*q**3 + 0*q**4. Differentiate s(v) wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104\/77 or 1?\nAnswer: 104\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-43\/5)\/((m\/((m\/(m*m**(29\/5)))\/m*m))\/m*m*m\/((m*m\/m**(-29))\/m)) assuming m is positive.\nAnswer: m**(247\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3594, 13533, 29820, 52455?\n\"Answer: 3174*t**2 + 417*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399 and 4937271.\nAnswer: 656657043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15372 and 7272?\nAnswer: 3105144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 + 4*i**2 + (i + 2*i - i)*(-3*i + 5*i - 3*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -346 + 100?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + 177*d + 2764. Calculate w(-51).\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48, -46, -36, -18, 8?\n\"Answer: 4*y**2 - 10*y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 0.009 (c) 1\/8 (d) -1\/3 (e) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 8*t**2 + 8*t + 6. Let k be p(-7). Let i be 7\/2 + k\/2. Find the second derivative of 0*v + i*v**4 + 5*v - 2*v wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*z + z. Let q = 28 - 24. What is the second derivative of -b + z*b + q*b**2 - b wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*y**3 + 11 - 2*y**2 + 4*y**3 + 2*y - 24*y**3 + 4*y to k*y + x + i*y**2 + m*y**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -6. Let n = m - -22.8. What is n rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -5*h + 2\/25*h**6 + 0*h**2 + 0 + 0*h**3 + 2\/15*h**4 - 1\/5*h**5. Find l, given that a(l) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 37 + -134 - (1 - 1). Which is greater: r or -104?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 128*p. Let n(u) = 3*u - 13. Determine j(n(h)).\nAnswer: 384*h - 1664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:39 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120220 - -12?\nAnswer: -120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12869293 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v + 7. Determine p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 1 + 6 + 8*t**3 + (0*t**2 + 3*t**2 - 5*t**2)*(2*t - 7*t + 2*t) as v*t + l*t**3 + n + h*t**2 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 17*a + 59. Let b be q(-20). Does b = -21\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12511, -12510, -12509?\n\"Answer: o - 12512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195.9869 + -196. Round i to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0*o + 3*o)*(17*o - 3*o + 2*o)*(0 + 2 - 3)*(-2 + 0 + 17)*(-2*o + 0 - 2 + o) to m + h*o + f*o**2 + n*o**3 and give f.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14733300?\nAnswer: 2, 3, 5, 67, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -5. Let k(r) = -r**2 - 9*r + 14. Let u be k(j). Find the second derivative of -y**u + 4*y - 2*y + 2*y**4 + 0*y**4 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**8\/48 - g**4\/4 + 8*g**2. What is the second derivative of v(r) wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 6*t + 3. Let q be u(6). Suppose q*x + x = 32. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, t: 1, l: 4}. Give prob of picking 1 l and 1 p.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2751 - -2754. Let v(d) be the first derivative of -d - 1\/2*d**2 + g. Give v(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128159547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 8\/4 - (852912\/9072 + -94).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/48)\/((-1)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 0) + (-2 - 1). Let g be (0 - s)\/(3\/(-15)). Let n = -5 - -9. Solve -d = -n*m - 0*d + 24, 5 = -3*m - g*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -4, 5, 984.\nAnswer: -7, -4, 0, 5, 984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1867585 is divided by 580.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**4\/6 + 17*t**3\/6 + t**2 - 300. Give s(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 12*c**3 - 5*c + 10*c**4 - 11*c**3 to t*c**4 + x*c + l*c**2 + s*c**3 + u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26954424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17278117, 17278116, 17278115, 17278114, 17278113?\nAnswer: 17278112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:38 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503, -498, -481, -446, -387, -298, -173, -6?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 106*w - 487. Give g(75).\nAnswer: 1838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 844, 765, -102, -1757, -4200, -7431, -11450?\nAnswer: -16257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 916 = 5*b, -2*b + 1123 = 4*m - 677. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 439613\/70 - (-10)\/(-25). Let t = 6276 - a. Find the common denominator of t and 49\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184367 divided by -557\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 75, 72, 89, 132, 207, 320, 477?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 5761543264299 + 5761543264299.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -794\/13 - -2356\/39. Which is the closest to u? (a) -3 (b) -77 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.11. Suppose 2*h - 75 = -2*j + 79, -329 = -4*j + 3*h. Suppose j = 13*y + 28. Which is the nearest to -2? (a) y (b) -2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 - 342*c**2\/7 + 344*c\/7.\nAnswer: -2*c*(c - 1)*(c + 172)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1645, -5\/6, -3.7, 44, -0.3 in decreasing order.\nAnswer: 44, 0.1645, -0.3, -5\/6, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 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: Three letters picked without replacement from memmbybmybbbmmbeebm. What is prob of sequence ybb?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253 - 245. Let r be (19 + -12 - m) + (-1 - -5). Solve -r = -2*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104983 is divided by 963?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14656650?\nAnswer: 2, 3, 5, 97711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9*4\/6)\/(-2). Suppose a - r - 1 = 2, -b*a = 3*r - 9. Solve a*j = 5*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + b = -2*b - 134, -h - b = 33. Let m = -32 - h. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z - 124. Let s be r(31). Let j(a) be the second derivative of 5*a + 1\/2*a**3 + 0*a**2 + s. Let g(t) = -2*t**2. Give g(j(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.8 + -61. What is the nearest to 0.3 in i, -0.3, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n + 30. Let m be a(4). Suppose 14 = -d + 4*x, m*x = 7*d - 3*d. What is the greatest common factor of 11 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1*sqrt(612) - sqrt(612))*-4 + (-1*sqrt(612) - sqrt(612))*-2 + sqrt(612)))**2.\nAnswer: 382500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9 - 14 - 41*l**3 - 2*l**2 - 1 - 4 wrt l.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 255995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 7 (c) -3 (d) -5\/2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 4) to base 5\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1461 = 5*b, -5*b - 4*k = 48 - 1511. Suppose 2*j + 3*a + b = 0, -358 + 74 = 2*j - 4*a. Let f = -65 - j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.72898573 rounded to 2 decimal places?\nAnswer: 52.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 25*c + 10. Let o(v) = -v**2 - 12*v - 5. Let l(g) = 7*o(g) + 3*r(g). Suppose 10*t - 5*t - 35 = 0. Is l(t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 66*d**2 + 360*d.\nAnswer: 3*d*(d - 12)*(d - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 5291?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/5 - 4519*s**4\/5 - 9041*s**3\/5 - 4521*s**2\/5 = 0 for s.\nAnswer: -1, 0, 4521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (13 + -4 + -10515) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -6. Let k = a + -17. Let l be (-14700)\/9*k*-20. Round l to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 4.06, 5 in ascending order.\nAnswer: -0.1, 0, 4.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/5 + 383*w**2\/5 - 10978*w\/5 + 7544 = 0 for w.\nAnswer: -410, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10424256391556 + -2?\nAnswer: -10424256391558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521556\/145 or -0.13?\nAnswer: -521556\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t + 174*t - 40*t - 42*t - 54*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.6 and 20.265.\nAnswer: -113.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -15. Let y be (-5)\/1*4\/j. Let n = 14 + y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -30.17. Which is the biggest value? (a) p (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -y, -15644*b + 15643*b - 15 = -3*y for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose -g*m + 10 = -2. Let z be 3\/(-6 + 3)*-3. Solve -t = z*t - 5*d - 10, t - m = d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -800\/829 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537437?\nAnswer: 3, 11, 46589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1455.803ml to litres.\nAnswer: 1.455803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -33. Let o = 174602542 + -174602522.0000059. Let b = j - o. Round b to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 217 = 3*r - x, 0 = 5*r - 4*x - 365. Let w = -348\/5 + r. Is -1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 12, r: 5}. What is prob of sequence rw?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.04, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1080*h - 762. Let k be z(-7). Calculate the greatest common factor of k and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.26.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92\/3 - -29. Suppose 0 = 5*t + 4*m + 6, 4*m = 4*t + 6*m. Suppose i + 0 = w - 6, -t*i = 5*w - 9. Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002278923 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvplggglvvpgpvggva. Give prob of picking 1 g and 1 l.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k + 10 + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/4 + g**2\/2 - g + 1. Suppose 12 = i - 2*o, -i - 2*o + 1 - 9 = 0. Calculate r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*s + 205 - 205)*(s**2 - 2*s**2 - s**2)*(-47 - 22 - 10) in the form a + y*s + f*s**3 + r*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 1\/3 (b) 2427 (c) 0 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -60. Sort 1, k, 0.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*d - 126 = 137*d, 0 = 4*g - 3*d + 35 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2 + 2 + (-1 + 4 - 1)*(-1 + 2*q + 1) + 3*q - 4*q + 0*q + 5*q + 2*q - 4*q + 4 + 8*q - 4.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**3 + 2*n**2 + 4*n + 3. Let u be a(-3). What are the prime factors of (2 + 0)*u\/(-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103948 or -3\/26?\nAnswer: -103948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 + 115*c**2 + 4*c + 11. Let s(j) = -j**3 + j**2 + j + 2. What is -a(l) + 5*s(l)?\nAnswer: l**3 - 110*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*g**2 + 6*g**2 - 2*g**2 in the form o*g**2 + z*g + c and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235122 + 4?\nAnswer: -235114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g*x - 86315*g - 444*x + 1456 wrt g.\nAnswer: 4*x - 86315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1120 - 1099.22. Let w = r + -21. Let x = 0.26 - w. Round x to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303661 + -0.1.\nAnswer: 303660.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4485153, 8970305, 13455455, 17940603?\nAnswer: 22425749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1931*v - 54 - 42 - 1930*v)*(-2 - v + 2).\nAnswer: -v**2 + 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 24 = 4*w. Let j be (0 - 78\/w)*28\/21. Let u = -17 - j. What is the highest common divisor of u and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**2 - 3*i - 10. Let b(m) = 15*m**2 - 5*m - 19. Let w(s) = -3*b(s) + 5*v(s). Let f(a) = -2*a**2 + 3. Determine 7*f(c) - 3*w(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 752, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -51. Let o be 0 - 5 - (-6)\/g. Let s(y) = 125*y - 127*y + 0 + 1. Calculate s(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o + 2. Let n be h(-4). Let s be n\/(-20)*85\/68. What is the nearest to 1\/3 in -2, 0.09, s?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488, -468, -446, -422?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/(-3)*(-12 + 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -663 divided by 221?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 77*m + 1746. Let i(c) = -c**3 - 21*c**2 + 22*c + 14. Determine i(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31044, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-4)\/(-6))\/(((-240)\/50004)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17*v**2 + 415*v - 3306. Determine p(8).\nAnswer: -1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 16 = 0, 2*i + 2*i - 259 = b. Does 5 divide (-2)\/(((-80)\/b)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 3, l: 1, b: 4, g: 3, u: 2}. Give prob of sequence uul.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -3. Suppose -18 = -3*b + 3*r + 18, -2*r = 0. Suppose b = 5*g - 3. Sort 5, s, g in decreasing order.\nAnswer: 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1 + 2 - 6*u + 0*u. Let z(b) = 5*b - 2. Let q = -18 - -21. Suppose -j - 2 = q. Give j*z(v) - 4*x(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11998555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 1\/4*n**2 + 0 + 3\/4*n = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 8*c**2 - 5*c - 8. Let q be v(9). Suppose -7*x + q*x - 1197 = 0. Calculate the remainder when x is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 9 = 2*s + 5*t, 0 = 2*s - 4*t + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-9)\/(27\/(-6))). Suppose 0 = -3*d + 3 - 33. Let m be (-66)\/d + (-27)\/45. Solve -m = 2*g + 2*g + x, u = 3*g - 3*x - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 5}. Give prob of sequence aba.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 7*z - 5*y, 0 = -2*z + 56733*y - 56735*y + 58 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 + 190. Put -2, -3, 3, x in descending order.\nAnswer: x, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*h + 65. Let m be 162\/(-39) + (-4)\/h. Let x be ((-2)\/m)\/(11\/(-22)). Sort 5, -5, x in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.93 + -2.27. Let r = n + 4.62. What is r rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h - 4*m + 15, -3*m = -3*h - 9. Let g be -3*((-389)\/3 + h). Let l = -4243\/11 + g. Calculate the common denominator of l and -73\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 55751 = 1657. List the prime factors of n.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.9598 millilitres in litres?\nAnswer: 0.7209598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 a when four letters picked without replacement from lliilamlllliiiiiil?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (109 - h**2 - 51 - 22)*(0 - 3 + 4) to i*h**2 + j*h + l and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251630 divided by -6?\nAnswer: -125815\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 12*c - 4. Let q = -6 + 11. Let r be y(q). Calculate the highest common factor of 30 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 28. Let m = 2 - 1. Which is the nearest to 1? (a) m (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + p. Let z(r) = -19*r**2 - 6*r. Let x = -5 + -34. Let k(q) = x*u(q) - 6*z(q). Factor k(y).\nAnswer: -3*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*l - a, 3*a + 18 = 10*l - 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -307 + 302.3. Let s = 20 + -18.3. Let u = s + g. Which is the closest to 0.1? (a) 3\/2 (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17636 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(2448)*2 + sqrt(2448))**2 - (1 + sqrt(2448))*3) + -2 - (0 + sqrt(2448) + -1 + -2 + 2 + sqrt(2448))**2) + -3.\nAnswer: 12*sqrt(17) + 188487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*u - 528*u = 9864 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 80. Let t be y(13). Suppose -f + x = -t, 5*f - 492 = -4*x - 0*x. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*l = -5*d, 4*d = -5*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 9, -3, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Let k(f) = -2*f**3 - 3*f**2 - 3*f - 3. Let y = -4 - -8. Let g(s) = -3 + 3*s**3 + 4*s + 3 + y + 4*s**2. What is a*g(t) + 4*k(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -41*i**2 - 6143*i - 82931. Calculate k(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 8*p**2 + 10*p + 6. Calculate x(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915 a factor of 526826410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34125 = -5*t + 5*g, -3*t - 17*g - 20473 = -18*g. What is the common denominator of -4 - (t\/672 + 7) and -77\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 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: Calculate prob of sequence eee when three letters picked without replacement from ejeeeeejeeeeeeeeeee.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:07 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-1)**2 + 2 + -5.\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (845343\/18164)\/(-393)*((-14)\/18 - -1)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*s = 2*v - 95, 3*v - s = 57. Let b be (-1252)\/(-6) + 3\/9. Calculate the greatest common divisor of b and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747 is divided by 143.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9763765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22766 + 22786. Calculate the lowest common multiple of h and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 20 = 0, -4*p - 3*t + 40 = 0. Suppose 0*b = b - p. Let j = 11 - b. What is the smallest common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w - 66. Let q(l) = -3*l**3. Let y be q(-1). List the prime factors of 0 + (-3)\/y + w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f - 4, 30 = -4*r + 5*f. List the prime factors of (6 - r)\/(1\/1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -244, -484, -718, -940, -1144?\n\"Answer: r**3 - 3*r**2 - 238*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60051 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 573 (c) 26 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/19 + 4\/133. Which is the second smallest value? (a) 3 (b) v (c) -1\/9 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*q + 260129 = 427221 + 522452. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - 0.09. Let m = 73 - 72.84. Let g = m - 3.16. What is the second biggest value in -0.2, i, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:22 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 221121122 (base 5) to base 7\nAnswer: 11066006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/9)*x\/(x**(3\/25)*x)*(x**19\/x)\/x**(-24))**(3\/14) assuming x is positive.\nAnswer: x**(4799\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-30) + (-135)\/75 + 407\/165?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*a + 13. Is -6 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4473, -8972, -13485, -18012, -22553?\n\"Answer: -7*a**2 - 4478*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -34\/8071?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g**3 + 98*g**2 + 137*g - 57. Give i(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 7*y**2 - 9*y - 7. Let f be n(-7). Is 2 a factor of ((-4)\/16)\/((-2)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -46. Do 69 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -766667*s + 1. Let g(z) = 1533334*z - 2. Let c(x) = -3*g(x) - 5*l(x). Let y be c(3). What is y rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48492 plus 0.1777504?\nAnswer: 48492.1777504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 679 divide 8962800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875676249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5 - 25230*n**4 - 53071299*n**3 - 106066920*n**2 - 53020848*n.\nAnswer: -3*n*(n + 1)**2*(n + 4204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.13118 hours in days?\nAnswer: 2.0471325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) -0.2 (c) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.59, 99502, -3, -2\/9 in decreasing order.\nAnswer: 99502, 0.59, 0.09, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14*11808\nAnswer: 165312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148\/259)\/(18\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k - 10 = -330. Which is the smallest value? (a) -2\/9 (b) k (c) -5.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**2 - 17534 + 50*a**2 + 17533)*(-a + 1 - 1).\nAnswer: -60*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/20)\/(4\/((-100)\/35)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610 is divided by 1606.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 + i**5\/20 + 7*i**4\/24 - 2*i**3\/3 - 7*i**2. Let t be v(4). Suppose l + 357 = t*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*p - 208 - 33 - 53 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 1, g: 1, r: 1, d: 1, y: 2}. What is prob of sequence sdq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 - 7*r - 201 + 102)*(3*r**2 + 0*r**2 - r**2).\nAnswer: -14*r**3 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {c: 2, d: 7, z: 1}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(240)\/(sqrt(12)*2) + 1 + sqrt(180))**2.\nAnswer: 42*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20382228 and 41\/20.\nAnswer: 101911140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) + -1) + -2 + sqrt(1088))**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1775036 by -2.\nAnswer: -887518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*10\/(-225)*(-16 + 19).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)*d**5)\/(d\/(d*(d\/((d*d\/(d\/d**(-3))*d)\/d))\/d)*d**(-1\/7)) assuming d is positive.\nAnswer: d**(536\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*p = -40, 8 = y - 4*p + 6*p. Solve -10 = 5*n, -2*w - w + y = -4*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16147 divided by 9?\nAnswer: 16147\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w**3 + 1. Is 7 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 0.1, -4, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-2)\/(-4))\/((-93)\/62)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20742261?\nAnswer: 3, 17, 317, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(3) + -2 + sqrt(3))*-6*4 + sqrt(12)*-5*-6)*-4*-4)**2.\nAnswer: -1400832 - 589824*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7417 is divided by 337.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d72a4 (base 14) in base 16?\nAnswer: 4992f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*t = -5, -70*q = -66*q - t + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11717, -23375, -35033, -46691, -58349?\nAnswer: -70007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 263801740*q\/9 + 8698919753378450\/9.\nAnswer: 2*(q + 65950435)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Suppose 0 = -5*a - 4*y + 31, -11 = -5*a - y + 8. What is the remainder when a is divided by ((-2)\/x + 5)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 - 11*v**3 + 9*v - 2*v**3 + 17*v**3 to the form y + h*v**3 + n*v**2 + s*v and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/6, -5, -0.04?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -3\/4, -1\/2, 0.141, 0?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 3*d**2 + 14*d - 26. Let g be q(4). Let w = 171 + g. Is -38 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2795531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2 - 2 + (-1 + 2 + 1)*(2*i + 0*i - 4*i) + i + 2 - 2 + 0*i - 4*i + 3*i + 2*i + i - 5*i + i + 4 - 4 + (-6 + 4 + 0)*(-i - i + 3*i).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -253*u**3 + 253*u**3 - 10*u**4 + 2 - 7*u**4 + 4*u**4 + 114*u**2 as t + h*u + z*u**4 + n*u**3 + m*u**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + -5. Let x = 1483703 + -1483703.10000066. Let l = j - x. Round l to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 2. Let b be k(-7). Let u be (-9)\/1*(-2 - -1). Suppose -2*p + o - 3 = -2*o, -b*o + u = -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: Let u(j) = 5*j**2 + 5*j + 5 - 2 - 2 - j**3 + 5. Let z be u(5). Suppose 2*b - z = 5*i, -4*i = 3*b - b + 14. Solve -6 = 5*l + 2*n, 2*l - 9 = -0*n + b*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**3 - 15*y**2 + 11*y + 6. Let s(f) = 4*f**3 - 10*f**2 + 7*f + 4. Let a(h) = -5*o(h) + 8*s(h). What is a(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4611 and 8636838?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2556 + -3?\nAnswer: -2560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 32062*h**3 + h - 16033*h**3 + 2*h - 16032*h**3 - 19*h**2 in the form r*h + z*h**3 + b*h**2 + j and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4396*r = -4342*r - 1296 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -54340+0.0781795829\nAnswer: -54339.9218204171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(9\/(-4) + 2)*1. Suppose s*k = -5*k + 60. Calculate the remainder when k is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27.39 and -5348.\nAnswer: -146481.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 4*v + 9. Let n(l) = -l**2 + 7*l + 2. Let i be n(5). Let g = -10 + i. What is the smallest common multiple of g and z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Suppose z - 11 + 3 = g. Suppose -28 = -4*q - 0*q + 3*v, -20 = -4*q + v. Solve q*t = -5*u - 2 + 3, 0 = -5*u + 3*t + z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2028 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.036*-3.8042\nAnswer: -3.9411512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-322))\/(8\/(-28))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 10, t: 1, v: 3}. What is prob of sequence stz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 + 2. Let b = 23 + -18. Let r(p) = -b*p - p - p. What is j(r(a))?\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -587*h**2 + 10*h + 4*h + 1170*h**2 - 584*h**2. Let v be 8\/(-6)*(-63)\/6. Let i be c(v). What is the nearest to -1\/4 in 0.2, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -222, 4\/7, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslcllhlddhdlhdsssld. Give prob of picking 1 d and 1 c.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/10 - 0)*(-180)\/108. Let g(j) = -j - 4. Let v be g(-4). Suppose v = 2*x - 3*x. Sort -0.2, x, i.\nAnswer: -0.2, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 + 227. Let n = m - 39. Is 66 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 8*j**2 + 7*j - 9. Let t be h(-6). Is (-27)\/(-63) + 28572\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + c - 2 = 0, 2 = -3*d + 4*c - 1. Let s(z) = -5*z**2 + 2*z - 13. Let h(w) = -w**2 + w - 1. Let q(b) = d*s(b) + 6*h(b). Calculate q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*i - 1016015, i = 3 - 0. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74793, 74768, 74751, 74742?\n\"Answer: 4*f**2 - 37*f + 74826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 - -173. Calculate the smallest common multiple of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 0*d)*(1 - 3 - 8 - 1 - 4 + 6 - 1 - 1 + 4 - 1 - 3 + 2 + (-2 - 1 + 4)*(-3 + 2 + 3)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 7*d - 4*d)*(2*d**2 + d**2 - 4*d**2) + 16*d**2 + 49*d**3 - 12*d**3 + 118*d**3 - 16*d**2.\nAnswer: 173*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - 2546?\nAnswer: -2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 + -3 + (12 - -37). Let n be (2\/(-4))\/(2\/(-48)). Calculate the highest common divisor of n and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 17. Round t to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -501\/287 or -2?\nAnswer: -501\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0171558685 rounded to 5 dps?\nAnswer: 0.01716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 2.27?\nAnswer: -2.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from ddhhhhdhdddhd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuqilsf. What is prob of sequence if?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 12}. Give prob of sequence sn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*g**4 - 2*f**2*g**2 - f**2 - 4305*g**5 - 65*g**2 wrt g.\nAnswer: -48*f**2*g - 258300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4170060.\nAnswer: 2, 3, 5, 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 - 18 = -5*k, -r - 10 = -2*k. Sort k, 5, 2, 1 in descending order.\nAnswer: 5, k, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/8358 and -25\/20298.\nAnswer: 142086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/4278 and -53\/92.\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15369830609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 53*q + 49. Let p(a) = a**2 - 27*a + 25. Let g(x) = 3*d(x) - 5*p(x). Let u be g(9). Is (10\/25)\/1 + u\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i - 8. What is the smallest common multiple of 10 and z(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85 - 85 + 21*s**3 - 2*s**2 + (-5*s + 0*s + 4*s)*(3*s**2 - s**2 - s**2) + s**3 - s**3 + s**3.\nAnswer: 21*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 6, f: 4, n: 1, k: 4}. What is prob of sequence kkn?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1972626 and 326.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)\/(2\/22). Let s = 2 + 11. Let o = s - r. What is the greatest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2 - r - 3*r + 3*r - 3. Let w(z) = -9*z**4 + 7*z**2 + z + 1. Let p(y) = f(y) + w(y). Find the third derivative of p(a) wrt a.\nAnswer: -216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*f**4 + 2584*f**2 + 89760 wrt f?\nAnswer: -144*f**3 + 5168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 10. Let w(c) = -2*c**2 - c + 10. Let o(q) = 4*a(q) - 5*w(q). Let s be -1 + (-7)\/1 - -1. Is o(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15 + 9 + 0 + 0. Let x = 4 - -12. Let r be (k\/4)\/((-12)\/x). Solve 0 = r*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 4 + 5 - 1 + 5*w - w to the form r + u*w and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 28*d. Let r(k) = -13*k**2 + k - 665. Calculate u(r(a)).\nAnswer: -364*a**2 + 28*a - 18620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/672 and -169\/11256?\nAnswer: 45024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4520 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/(819\/162162).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 6192, 772 in decreasing order.\nAnswer: 6192, 772, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*p + 312. Suppose 0*v - 3*v + p = 0. What is the remainder when v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-33\/2)*z*z**(1\/5))**(-40))**(2\/17) assuming z is positive.\nAnswer: z**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1186 - -1383. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*g + 144*g - 1332*g - 5*g**2 in the form l*g + w + v*g**2 and give l.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 10*b + 15, 5*w + 3*b - 10 = 0. Suppose -5*z = -4*z - 1, -w*z = -2*j + 615. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 148*g**3 + 84*g**3 + 3*g**2 - 35*g**3.\nAnswer: 197*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525381052 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -125768 greater than -125769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -665 + 680. What is the remainder when 133 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4909801 to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*k - 21*d + 105 = 12*d - 37*d, -3*d = -k + 80 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 3*q**3 + 4*q**3)*(-121 - 12*q + 121).\nAnswer: -60*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 2 = 0. Suppose 5*b + j = 4, -2*b + 5*j + 4 = 3*j. Suppose u - b = k. Solve -2*c - c = 2*h, 0 = -u*h - 5*c + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2382036 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 10*y**2 - 21*y + 3. Let c be t(-3). Suppose 3*v + c + 55 = 2*d, -5*d + 159 = -4*v. What is the greatest common divisor of d and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, 4 in decreasing order.\nAnswer: 5, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 - 101. Suppose 0 = -c*u + 2947457 - 65747457. Round u to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*b**3 + 7*b**3 + 17*b**3 + 6*b**3 + 52*b**3.\nAnswer: 166*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4528*n**3 + 1283 + 1054*n**3 + 2278 + 482 with respect to n.\nAnswer: 16746*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 135*o**3 + 205*o**2 + 199*o**2 - 397*o**2.\nAnswer: 135*o**3 + 7*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-1 - (3 - -6)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6 - 7 - -7) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4082*s = -4*m - 4086*s - 8, m - 5*s = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7824 minus 772794636?\nAnswer: -772802460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80*9459*(-6)\/(-270).\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*24\/270 + (-224)\/(-24) + -9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czdc when four letters picked without replacement from pcccpdz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.373 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 406, 3, 7, -11 in decreasing order.\nAnswer: 406, 7, 5, 3, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278505 is divided by 128?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -38. Let q = -19 + n. Let w = 27.3 + q. What is w rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120500 and 3325800?\nAnswer: 16629000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5\/4 + 9*m**4\/4 + 9*m**3\/4 + 3*m**2\/4 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.67 + 414?\nAnswer: 390.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/12 - q**3\/3 + 5*q**2 - 15*q. Is l(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -0.117 in descending order.\nAnswer: 1, 0.3, -0.117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnynn. What is prob of picking 1 n and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023831 rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054779 - 1859261.\nAnswer: -1859260.945221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4403777 kilograms to nanograms.\nAnswer: 440377700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136 + 5443400?\nAnswer: 5443231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9037, 17354, 24905, 31684, 37685, 42902, 47329?\nAnswer: 50960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 165 = -67*m + 305 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**3 + 4*l - 7. Let t be ((-14)\/8 - -2)\/(9\/(-36)). Let c(m) = m**3 - m + 1. Calculate t*y(z) - 6*c(z).\nAnswer: -2*z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) + 0)*3)**2*3.\nAnswer: 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-8))\/(-1))\/(11\/(-44))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p**11\/p)))**(-7)\/(p\/(p*(p\/p**(3\/7))\/p)*p*p*p*p*p**(18\/5)*p) assuming p is positive.\nAnswer: p**(-2521\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 361*j**3 - 52*j**3 - 125.\nAnswer: -413*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -11, -1 in ascending order.\nAnswer: -11, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, h: 1, y: 4, c: 2, k: 1, j: 7}. Give prob of sequence yjcy.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4911211 + 5124.5.\nAnswer: 5122.0088789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:47 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:12 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 21917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*0 - (-10)\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 - 186. Calculate the smallest common multiple of n and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -2*y**5\/15 - 14*y**4\/3 - 106*y**3\/9 - 26*y**2\/3 + 2976. Find x, given that l(x) = 0.\nAnswer: -26, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1419 divided by 236.\nAnswer: -1419\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0.09, 9\/29?\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 50. Let v = -9 + o. Find the third derivative of r**5 - 7*r**5 - v*r**4 - r**2 + 16*r**4 wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*z + 10 = 0, 130*z + 11 = a + 135*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42413 * 3123\nAnswer: -132455799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23 - 33 + 0*r - 5*r - 12*r + r**2. What is the units digit of s(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5208, 19911, 44098, 77769, 120924, 173563, 235686?\n\"Answer: 4742*l**2 + 477*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1069 and 4276.\nAnswer: 4276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5841908 to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/3*3 - -173. Suppose -4*d = -x - 62. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*o, -4*w - o - 20 = 3*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:23 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -14*n**3 - 62*n**2 - 13*n - 36. Calculate i(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -4. Let i be 2\/g + (-16)\/(-30). Are 1 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**19*(m**(1\/4)*m)**(3\/13) assuming m is positive.\nAnswer: m**(-1961\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1 + 25\/10). Let y(n) = -6*n - 3. What is y(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-222)\/18 + 24)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*l + 25. Solve l*p - 9 = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 2*j**2 + 5*j - 3. Let g(d) be the third derivative of d**6\/120 - d**5\/30 - d**4\/4 + 2*d**3\/3 - 27*d**2. What is -5*g(k) - 6*u(k)?\nAnswer: k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 140 = k - 3, -314 = -2*k - 5*o. Solve -24*h - 163 + 16*h**4 + 6*h**3 - 17*h**4 - h**2 + k = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eireiieeife. Give prob of sequence ifee.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*c + 2*c - 4, 0 = -3*k. Let l(b) = 53*b**3 - b. List the prime factors of l(c).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-38))**7\/((u*u*(u\/((u**(-1)\/u)\/u))\/u)**(-3\/8)*(u\/u**(-6))\/u**(2\/27)) assuming u is positive.\nAnswer: u**(-1091\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + -46.56. Let t = q + 46. What is the third biggest value in t, -1, 2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -3, 0.4, -4 in descending order.\nAnswer: 55, 0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3138 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t. Let q(l) = 158*l**2. Give q(g(y)).\nAnswer: 632*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*z + z = 25, -5*q = 2*z - 40. Let g(p) = -3*p**5 - p**4 + 2*p**3. Let v(s) = -3*s**5 + 3*s**3. Let h(y) = q*g(y) - 5*v(y). Solve h(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552176497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 2*p**3 + p - 4*p**3 - 5*p**3 as x*p + q + u*p**2 + v*p**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2*s - 1. Suppose 2*k = -0*k - 8. Let c = 12 + k. Is v(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 5*y - 71. Let r be (16\/y - 0)*(-126)\/12. Solve -4*m - r = -12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffgfff. What is prob of sequence gfff?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922030594.\nAnswer: 2, 3, 7, 23190719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 + 1dc?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 8\/12719, 0.5, -19?\nAnswer: 8\/12719","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + u - u)*(-5 + 2 + 1)*(-u**2 + 0*u**2 + 4*u**2).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 - 2*k**3 - 13 + k**3 - 14*k**2 + 12*k. List the prime factors of a(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -12. Let w = i + 51. Which is the fourth biggest value? (a) -2\/3 (b) w (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-36))\/((-24)\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12751787 is divided by 3187930?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*q - 14, 4*l = 9*l + 4*q - 50. Find the third derivative of 42*k**l + k**2 + k**2 - 18 + 15 - 38 wrt k.\nAnswer: 5040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let k = -1 - c. Let l(m) = m + 1. Let v(r) be the first derivative of -r**2\/2 - 2*r - 39. Determine k*l(z) + v(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (-13 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.328 + 2.26. Let o = -0.168 - f. Which is the nearest to -4\/15? (a) -0.5 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 + j - 1 + 3*j**4 + 0*j**4 - 3*j**3 - 2*j**4 to k*j**4 + n*j**2 + q*j**3 + g + y*j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - t**2 + t + 1. Let n be r(-1). Suppose -q + 0*d + 37 = d, -n*q - 5*d + 80 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1347 - 1347.04. Let r be (4\/28)\/((-1)\/(-7)). What is the biggest value in 0.09, -2\/7, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 3*r - 2. Let w be l(-5). Suppose -5*b = 15, -6*b + w*b - 46 = -i. Calculate the remainder when 98 is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0 + 1\/20*k**5 - 7\/2*k**2 + 2*k + 1\/6*k**3 - 5\/12*k**4. Let h be t(5). Which is bigger: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4586337 and 6579?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**5\/40 + z**4\/32 + 7*z**3\/24 - z**2\/16 - 3*z\/4 - 108. Find d such that j(d) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 17. Suppose -z = 5*y - 14, -71*z + 68*z - 2*y + 29 = 0. What is the remainder when a is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 240 = 5*d, 2*d - 3*i = i + 84. Let r be 43\/(-15) - (-4)\/(-30). Let t be 778\/6 + (8\/(-3) - r). What is the greatest common divisor of t and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 19*v + 3. Suppose -2*k + 3*w + 15 = 0, 34 = 4*k - 5*w + 1. What is the remainder when k is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -36*h. Let n(s) = s - 13188. Determine n(i(u)).\nAnswer: -36*u - 13188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -1\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 7. Let m = 1.1 + -5.1. What is the closest to u in 1\/2, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16114*m**3 + 648*m**2 + 181*m. Let y(n) = -1239*n**3 - 50*n**2 - 14*n. Let d(x) = 2*q(x) + 27*y(x). What is the third derivative of d(s) wrt s?\nAnswer: -7350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 1416656 = -24*p + 362841. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w - 105. Let k be w\/(-21)*(-4 + 1). Let o(h) = -5*h**2 - 12*h - 5. Let n(x) = 6*x**2 + 13*x + 6. Let p(c) = 6*n(c) + 7*o(c). Give p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -82?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**4 + 0*q**3 + 17*q**4 + 5*q - 4*q - 8 - 78*q**3 - 33*q**4 to n*q**2 + w + h*q**3 + t*q**4 + l*q and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, -25, -6 in increasing order.\nAnswer: -25, -14, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 37*b**2 - 103*b - 54. Let t(w) = 28*w**2 - 79*w - 41. Let d(s) = -10*l(s) + 13*t(s). What is d(-3)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124235283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 - 74 - 68 - 305*o to the form z + q*o and give q.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1318455963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6387*q**5 + 2*q**3 + 370*q - 2. Let g(f) = 12773*f**5 + 5*f**3 + 741*f - 5. Let p(w) = 2*g(w) - 5*t(w). Find the second derivative of p(l) wrt l.\nAnswer: -127780*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-852))\/(255\/1224*-8)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 0. Suppose -1 = -5*g - d + 12, -u = g - 5*d. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**6\/40 + 59*s**5\/5 - 235*s**4\/8 + 219*s**2 - s. Factor b(v).\nAnswer: -3*v*(v - 235)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/3 - 200*o**3\/3 + 5406*o**2 - 262192*o\/3 + 246176\/3 = 0. Calculate o.\nAnswer: -157, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -693675 divided by 5\nAnswer: -138735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 76.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 1) + -1 + 4 + -1. Let g be (3\/(-6))\/(x*(-2)\/(-32)). Solve 7*y - 2*y - 22 = -g*i, -4*y + 5 = -i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*i = -5*u + 110, 4*i = 0. Which is the fourth biggest value? (a) u (b) -0.3 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255904014*a + 12*a**2 - 255904014*a - 33*a**2.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302228, -604533, -906840, -1209149?\nAnswer: -1511460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/2 + 3*i**4 + 4*i**3 - 8*i**2 - 24*i - 16 = 0. What is i?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 23 + 16*s**2 + 0 - 10*s + s**3 - 6*s. Let f be h(-17). Let x(o) be the second derivative of -o**4\/12 + o**3 - 7*o**2\/2 + o. Give x(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/(-30)*(-6)\/27.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3 + (6510\/(-9))\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h**2 - 2*h + 1. Give d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1339378, -1339377, -1339376, -1339375, -1339374, -1339373?\nAnswer: -1339372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34*-142.7765.\nAnswer: -48.54401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(153)*5 + 0))**2*3.\nAnswer: 45900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7387, -7379, -7367, -7351?\n\"Answer: 2*i**2 + 2*i - 7391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 10*b**2 + 20*b + 10. Let t be p(7). Calculate the greatest common factor of 39 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 9) + (82 - 70). Let x = -8 + 11. Solve -m - x = -n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*r - 110*r = 0, 0*t - 5*r = -2*t. Let h be 0\/((-1 - 1)\/(-2)). Solve t = -h*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = -y, 3*y - 2*y = -5*o - 16. Let x(q) = -39*q**3 - 27. Let f(v) = 3*v**3 + 2. Determine y*x(i) + 54*f(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52128 and 654496.\nAnswer: 5890464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280782315?\nAnswer: 3, 5, 11, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 92888, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l + 11*l - 165 + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0*t**3 + 0 + 0*t - 1\/12*t**4 - 2*t**2 - 1\/60*t**5. What is the second derivative of s(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -263 - -263.67. Let z = -0.77 + m. Which is the nearest to z? (a) -0.5 (b) 1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*p + 5*q, 0*p + 3*p = -q + 63. Let g be 7\/3 + 3\/(-9). Let v(w) = 6*w**2 - w - 2. Calculate the smallest common multiple of p and v(g).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m + 27*m - 17*m + 22*m to the form z*m + p and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4. Let s(k) = -121*k**3 + 205*k**2 - 104*k + 32. Let a(x) = 4*n(x) + s(x). Factor a(q).\nAnswer: -(q - 1)*(11*q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 527610000 to the nearest 1000000.\nAnswer: 528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(((-4)\/(-10))\/(((-120)\/50)\/1)). Solve -2*o - c = -0*o - 2*u, -o - 5*u = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 486530625 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*q - 1982 + 4091 - 2109 + 6*q**2 - 3*q**3 to the form g + y*q**3 + z*q**2 + l*q and give l.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26266 and 322.\nAnswer: 183862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181367?\nAnswer: 293, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 26*p**2 + 93*p - 85. Calculate the remainder when 5268 is divided by c(22).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 202 = 2*n, 5*y = n + 4*y - 104. Let s = n - 69. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95815561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 7. Let x be c(8). Let r be 2 - x - 3 - -12. Let g = -2158 + 2159. Solve 0 = -3*s - r, -o + 2 + g = -s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34280 - 34275. What is the nearest to b in 0, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-242 + -94) + 1220\/48 + 2\/6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69499*b**5 - 43497*b**2?\nAnswer: 4169940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 4*d + 167600144*d**2 - 167600210*d**2.\nAnswer: -66*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 - -0.07. Which is the closest to 2? (a) 0.4 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47078?\nAnswer: 2, 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z + 60. Let x be (z\/12)\/(1\/8). Let w = 20 + x. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2494 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:10 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5.3. Let d = -0.3 + g. Suppose 10*p + 2*t = 6*p + 26, -3*t + 14 = p. Sort d, -5, p, 4.\nAnswer: -5, d, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.9 times 0.33?\nAnswer: 159.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*n + 54*n + 144*n - 367*n + 52*n + 60*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 10 + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cdfad (base 16) to base 15.\nAnswer: 275a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 - 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*j + 2*j + 2483673 - 2483682, 2*j = z + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -7. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - 2*q**5 + 3*q**5 + (0 + 1 + 0)*(-q**3 + q**3 - 2*q**5) + q**5 + 6*q**2 - 6*q**2.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(2\/(12\/(-15)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -4397, -0.3, -2\/7, 3\/7, 1\/7, 0.01?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (9 + 1 + 1 + -24 - -26)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56327 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -433000500 (base 6) to base 3\nAnswer: -112111010020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, c: 2}. Give prob of picking 2 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-5 + 56\/10). Let b(d) = 9*d - 25. Let w(i) = 10*i - 25. Let r(z) = -6*b(z) + 5*w(z). Let v be r(l). Solve -v*n - 4 = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126625 > 126628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391510 divided by 5.\nAnswer: -78302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10341887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -16, 3*y + y = -5*n - 12. Let i be (-28)\/56*(0\/2 + y). What is the biggest value in -38, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-4) - (2 - (-22)\/(-8)). Suppose 0 = -b*g - 58 + 79. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44577297 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702, 867, 1142, 1527, 2022?\nAnswer: 2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 408153422 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/4 - 235*t**3\/2 - 1386*t**2 + 956*t. Suppose u(b) = 0. Calculate b.\nAnswer: -231, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11525449657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(-8*k + 0*k + 0*k).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7852 + 7880 = t - 6*i, -2*t - 2*i = 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5177 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 519427 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**3 + t**3 - 49*t**3 + 11*t**3.\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h. Let i(p) = 2. Let t(j) = 3*j + 20. Let v(b) = -6*i(b) + t(b). Let o(z) = 4*z + 10. Let r(x) = -4*o(x) + 5*v(x). Calculate k(r(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -126*b**4 - 5*b**2 - 23*b + 1. Let v(c) = -129*c**4 - 6*c**2 - 21*c + 1. Let n(d) = 6*h(d) - 5*v(d). Find the second derivative of n(s) wrt s.\nAnswer: -1332*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Factor x + 4*x - x - f*x**2.\nAnswer: -2*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 4*c**2 + 54*c + 8. What are the prime factors of j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1239 and -65\/18?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3*d**10)\/(((d**0\/d)\/d)\/(d**(-1)\/d)))**(11\/5) assuming d is positive.\nAnswer: d**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a148 (base 14) to base 16.\nAnswer: 6c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 3212?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*q**3 + 20287*q**2 - 165221 wrt q?\nAnswer: 18*q**2 + 40574*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a millennium?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63324261 (base 7) to base 14.\nAnswer: 9d40a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23000330 (base 4) to base 13\nAnswer: 176c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (42 - -16 - 48)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 79. Let k = x - -38. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 15916*x**4 - 1951616*x**3 + 3966864*x**2 = 0 for x.\nAnswer: -121, 0, 2, 4098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkkkkwakwwaawkq. What is prob of picking 1 a and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, 58, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhfhhbfhgghggbhgg. Give prob of sequence hghh.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-297))\/(27197\/27207 - 1). Let c = w + 996\/11. Calculate the common denominator of -45\/8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) - -2*(1 + sqrt(475) + sqrt(475)) - -1*sqrt(475)*4)*-6 + 5)*-1)**2.\nAnswer: 3780*sqrt(19) + 1385149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222200 + -10?\nAnswer: -222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -747\/1015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -110*h**2 - 2*h - 56. Calculate q(0).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 12) in base 15?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(272) + 3 - sqrt(272)))**2*-3*-4 + 5)*5.\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2553011 is divided by 213?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 744344 and -4.\nAnswer: -2977376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/47)*y)**(3\/2) assuming y is positive.\nAnswer: y**(69\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4748*v**2 + 50612*v**4 - 101224*v**4 + 50649*v**4 wrt v?\nAnswer: 888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + z. Let h(k) = 123*k**3 + 8*k**2 - 3*k - 1. Give h(o) + 3*t(o).\nAnswer: 123*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32013122 (base 4) to base 13.\nAnswer: 20417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 16. Let x be t(6). Let i(l) = -2*l + 5. Let r(k) = -2*k + 4. Let n(a) = 5*i(a) - 6*r(a). What is the remainder when n(x) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g + 2. Let w be b(3). Let s = 6076 + -6031. Calculate the common denominator of 157\/s - w\/(-80) and 8\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/(15*1840\/3000)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddn when four letters picked without replacement from dnnddddddddddndddd?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14*0.02629\nAnswer: 0.36806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56 - 145c?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1237327 = -36*s - 23299. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/18240 and -101\/1824?\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -2 in decreasing order.\nAnswer: 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -52, -11, -1 in ascending order.\nAnswer: -52, -11, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151470, -151435, -151400, -151365?\nAnswer: -151330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*q**4 - 40*q**3 - 17*q**2 - 2*q = 0. What is q?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/18 - (-1)\/3. Suppose w*n + 1 = -3*m + 2*n, -5*n - 20 = 0. Is -3 + 9 + m - -404 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3 + 13, 0 = -3*w - 5*c - 1622. Let x = 54 + w. Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34987 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4616.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 14. Let v be x(10). Suppose -v*q - 5 = k, 4*k = -k - 25. Suppose q = -5*h + 69 + 26. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129830 or -127975?\nAnswer: -129830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 9. Let v = j - -4. Let c = v - -2. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0.5, -1\/4, -79, -4\/19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1119156 meters to centimeters.\nAnswer: 11.19156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/6*30\/25. Let c = -1 + g. Solve 0 = -c*m, -15 - 1 = 4*l + m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14 - (-4755)\/(-105))*8\/312*-39?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 26*j**3 - j**2 + 1. Suppose -6*a + 4*a = 8. Let h(k) = k**3 + 4*k**2 + 1. Let n be h(a). Does 13 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 87*l + 90.\nAnswer: -3*(l - 30)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1820058*j**6 + 4903765*j**2 wrt j.\nAnswer: 218406960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -30.7 less than 131638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9009133 decades in years?\nAnswer: 9.009133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/(50334\/(-4194) + 12). Let s = -398 - f. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 8070642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.103 rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**3 - 2*c**4 + 13*c**4 - 7*c**3 + 0*c + 3*c to a + j*c**4 + h*c**2 + f*c + y*c**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.2. Let s = 5.6 + -5.6. Which is the closest to -2? (a) j (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/20 - 6\/(-5). Let u be (d + -2)\/(2\/(-6)). Find the second derivative of u*v + 4*v**3 - 6*v**3 + 0*v**3 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmhgmhmggggmgsh. Give prob of sequence mh.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105 - -4662?\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 + 6 = 0. Let h be (-1 + l)*180\/42. Suppose -h = -0*m + 5*m. Let f(w) = w + 11. What is f(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k + 15. Suppose -8 = -m + k. Solve -5*z + m = -2*j - 4, 15 = 5*z + j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 26*h + 101. Let u(d) = d**2 - 23*d + 102. Let c(i) = 6*r(i) - 5*u(i). Let v be c(40). Calculate the highest common divisor of v and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.497 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(6534))\/(sqrt(96)\/sqrt(2)))\/((sqrt(6) + sqrt(96) + sqrt(24))*-3*-6))**2.\nAnswer: 121\/84672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n**(-18)\/n))\/n*n**(1\/25))**(-5\/3))**36 assuming n is positive.\nAnswer: n**(-6012\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.3 + 4.3. Is 0.7 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 - -609. Does -2\/3 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 601*i**2 - 10 - 572*i**2 + 10. Let j(m) be the second derivative of -2*m**3\/3 - m. Calculate t(j(d)).\nAnswer: 464*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 - -198. Solve 0 = -5*l + 1 + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p - 2*p. Suppose 0 = -o + 16 + 11. Suppose 5*d + 10 = -0*d, -4*d + 27 = 5*y. Solve p*r - y = -o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -133, -143, -135, -103, -41, 57?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 169, 238, 289, 316, 313, 274?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -b70a231?\nAnswer: -b70a236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -344 - -148. Let y be (560\/k)\/(2\/(-7)). Suppose y*r - 5*r + 10 + 5*r**2 - 2*r + 12*r = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44024348 divided by 4.\nAnswer: -11006087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/11 + 6\/11*a + 2\/11*a**2 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3078744233*r**2 - 6*r + 12*r + 3078744230*r**2 - 6*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -441, -1300, -2723, -4704, -7237?\n\"Answer: y**3 - 288*y**2 - 2*y - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 - -175. Find the first derivative of 6*y**b - 40 - 6*y**2 - 164*y**4 + 200*y**4 wrt y.\nAnswer: 144*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 20. Suppose -4 = -m*j - 8. Let v be 4*j*5\/(-10). What is the closest to -0.1 in 3, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -357 + 387. Suppose 17 = 4*f - 5*u, k = -3*f - u + 19. Let i(n) = n + 1. Let h(w) = -2*w - 1. What is f*h(j) - 3*i(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + z. Let l(u) = -6*u**2 + u + 10. Let d(i) = -l(i) - 6*o(i). What are the prime factors of d(-3)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -11, 234 in descending order.\nAnswer: 234, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d + 25. Calculate the remainder when 73 is divided by l(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4*a)**14)**(2\/57)\/((a**(-1)*a**6)\/(a\/(a*a**(-2)*a))**(4\/17)) assuming a is positive.\nAnswer: a**(-2237\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/((i**(-4\/15)\/i)\/i*i)*i)\/i**(-1\/4))**37)**25)**(-1\/32) assuming i is positive.\nAnswer: i**(-50135\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5505 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22729.48 and -0.5.\nAnswer: -22729.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2\/3)*s))\/s**(-4\/7)*((s\/s**(-1\/2))\/s)**(-3\/10))\/(s**(-7\/3)\/s*(s\/(s**(-2\/3)*s))\/s)**42 assuming s is positive.\nAnswer: s**(64717\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/27902 and -24\/13951.\nAnswer: 27902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (-4 + (sqrt(432) + 2)**2 - sqrt(432)).\nAnswer: 48*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 771630467\/120 + -6430211. Let d = 238\/5 - u. Calculate the common denominator of d and -53\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1015909783 divided by -4.\nAnswer: -1015909783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*2*4).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -86.13?\nAnswer: 86.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 5*o + 19, 4*o = 2*w + 14. Let r be 6\/3 + (1 - 6). Sort w, r, 4 in increasing order.\nAnswer: r, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3307 - 4800 = -8*w, 0 = w - 4*r - 1018. Calculate the remainder when w is divided by 226.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1176756 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/606680 and 89\/16.\nAnswer: 1213360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2 + 30654*q\/7 - 3162408\/7 = 0.\nAnswer: 782\/7, 1348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2391, -3317, -4243, -5169, -6095?\n\"Answer: -926*r - 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4982, -18380, -40714, -71984, -112190, -161332, -219410?\n\"Answer: -4468*i**2 + 6*i - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5474 - 273691\/50. Are 0 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 5*g. Let v be l(-4). Let d be 4*7*(-2)\/v. Suppose 5*u - 131 = w + 2*w, -97 = -4*u + 5*w. Calculate the highest common factor of d and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/9*576\/120.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 - c**4 + 3*c**4)*(0 - 2 + 3)*(-3*c + 22*c + 13*c).\nAnswer: 32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 3, -6\/17, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 618 + 552. Suppose 7*k - 2*k - m = 0. What is the greatest common divisor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 12*f = -18. Let y(j) = 3*j**2 - 3*j + f + 7*j**3 - 9*j**3 + 0*j. Calculate y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5.3. Let t = 19936 + -19934. Which is the third biggest value? (a) n (b) t (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:17 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 3*w + 2. Let s(k) = -2*k**2 + 27*k + 11. Let l be s(14). Calculate the remainder when 114 is divided by b(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -60. Suppose -5*c - b + 176406 + 903597 = r, 0 = b - 3. What is c rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 43. Let z = d - 1.2. Which is the smallest value? (a) 1 (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 14. Suppose -3*a + m + 6 = 0. Let b(z) = -z**2 + 2 - z - 2 + 0*z**2. Let y(t) = 6*t**2 + 2*t + 1. Determine a*b(h) + y(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*a = -256*a + 204611. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3\/5 + 3598*h**2\/5 - 7181*h + 17940 = 0.\nAnswer: 5, 3588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19183564, -38367127, -57550690, -76734253, -95917816?\n\"Answer: -19183563*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.499933 in -1, 0, -2\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = k + 5*n, 19*n = k - 29235 + 29464 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 60700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = 3*p + 2, -2*b + 6 = 0. Let u(c) = 18*c - 30*c + p + 14*c. Calculate the smallest common multiple of u(17) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*v**2 - 190*l**3*v + l**2*v - 7*l*v**4 + 4*l*v**3 + v wrt v.\nAnswer: 2*l**3 - 84*l*v**2 + 24*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60010 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5, -w - 3*m = -7*m - 20. Solve -4*r = -4 - w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3548061 (base 9) to base 5\nAnswer: -442443244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 3*v + 1. Let n be t(2). Suppose n*s - 4*s = -3. Solve -b = -s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/4 - 1251*y**4\/2 - 4387*y**3 - 18811*y**2\/2 - 32613*y\/4 - 2509 = 0.\nAnswer: -4, -1, 2509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x**3 + 0 + 0*x + 1\/270*x**5 - 1\/540*x**6 - 1\/945*x**7 + 1\/108*x**4 - 7*x**2. Factor y(g).\nAnswer: -2*g*(g - 1)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25072 rounded to 3 dps?\nAnswer: 0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -2 in decreasing order.\nAnswer: -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 772.4653 nanoseconds?\nAnswer: 0.0000007724653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*j - 125 - 1, -4*n - 4*j = -624. Let s = 140 - 99. Calculate the remainder when n is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14196*l**2*p**2 - 2*l**2 + 6*l*p**5 + 3*l*p + 2692*p wrt p?\nAnswer: 28392*l**2 + 120*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1425, -5375, -11949, -21141, -32945?\n\"Answer: d**3 - 1318*d**2 - 3*d - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2042, -655, 5 in descending order.\nAnswer: 5, -1, -655, -2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*h**2 - 4 - 5 + 12 - 1 + 2*h to y*h + t + b*h**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 863299659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -153*26\/(-4)*5\/(25\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6 - 3526422*r**5 - 538963728*r**2 wrt r?\nAnswer: 120*r**3 - 211585320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -38*d + 40. Let v(g) = -13*g + 14. Let y(z) = 6*i(z) - 17*v(z). Calculate y(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -v - 16. Calculate the smallest common multiple of v and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125 - -108) + (3 - -31).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 times -7224?\nAnswer: 679056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 17\/28634815?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from {t: 1, d: 3, s: 2, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456604 + -15326912.6.\nAnswer: -14870308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1377*i**2*o**6 + 756*i**2*o + o**2 wrt o?\nAnswer: 165240*i**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:41 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -3*g + 6, -4*a + 5*g = -0 + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*l - 26 + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -32*v**2. Let o(s) = s. What is o(z(q))?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4 + 4*f**2 - 173 with respect to f.\nAnswer: -4*f**3 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(72))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*1\/1*(-31 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 64. Suppose -q*f - 102 = 444. Let y be (f\/(-455))\/((-7)\/(-5)). Are y and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138790.172 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*p + 1 + 5, -5*i = -2*p - 4. Solve 7*u - 6*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 6*k**2 + 8*k - 2. List the prime factors of p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 28*j**3 - 276*j**2 - 468*j.\nAnswer: 4*j*(j - 13)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m**2 - 9. Let q be -1 + 11 + (2 - 3). Let g(s) = 3*s**2 - 2. Let r(a) = q*g(a) - 2*t(a). Let o(l) = -2*l**2 - 5 + 5. Determine r(o(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 divided by 1556993?\nAnswer: -369\/1556993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t + 10235 = 548*t - 66*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50312290?\nAnswer: 2, 5, 7, 718747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2. Let v(y) be the second derivative of y**5\/15 + 3*y**3\/2 + 112*y. Let c(o) be the second derivative of v(o). Calculate w(c(a)).\nAnswer: 576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:57 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -251*f + 267*f + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 153, 135, 127, 135, 165, 223, 315, 447?\n\"Answer: h**3 - h**2 - 22*h + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 24*w - 15. What is the remainder when w is divided by (-4)\/12*(0 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-9) + (-24)\/(-54). Let a be (0\/(3 + -2))\/1. Suppose 7 = 3*l + b, 0*l + 5 = 3*l - b. Solve a = c*m - t - 14, 32 = 4*m - t - l*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.89598 micrograms in tonnes?\nAnswer: 0.00000000004489598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*u**3 - 2*u**4 + 87*u**3 - u**4 + 8*u - 14*u**5 + 6 wrt u.\nAnswer: -280*u**3 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 30\/19, -863 in descending order.\nAnswer: 30\/19, 1\/7, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9018, 13114, 17210?\nAnswer: 21306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 4*y**2 + 6*y - 15. Give h(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.16 (b) 2\/5 (c) 0.8 (d) -1\/2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*((-99)\/(-6) - 1\/(-1)). Let n = i + 69. Let u be 4\/(-4)*-13 + -2 + n. Solve -y = 2*h, -2*y - 3*h = 2*y - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 - -561\/2. What is the closest to k in -4, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p + 8. Let i be ((-28)\/4)\/7*2 - 4. Calculate h(i).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92175845 to the power of 1\/2, to the nearest integer?\nAnswer: 9601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 - 4*t - 6. Let v = 12 + -7. Let z be j(v). Solve 4*p + 0*l + l = 21, 4*p = -4*l + z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782679495.\nAnswer: 3, 5, 13, 251, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 5:07 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*p - 10 + 4*p + 7)*(2 + 3*p - 2).\nAnswer: -45*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066 - -9872100935?\nAnswer: 9872100935.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1 + 10*f - 1. Let u(h) be the second derivative of h**3\/6 + 125*h. Determine n(u(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2*v + 14. Let h(k) = k**2 - 6*k - 34. Let n(t) = 2*f(t) + h(t). Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*1 - 0\/1. Suppose -3*g + 3709 - 1465 = 0. Suppose 0 = y*a - 888 - g. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -5. Suppose 2*n = -2, 0 = -5*m + 2*n - 7*n + 45. Let r = 521\/14 + -75\/2. What is the closest to r in a, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19082 + 30718. Let g = x - 488869\/42. Find the common denominator of g and 163\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -743\/8. What is the common denominator of 6\/(-15) + (-838)\/(-220) and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/5)*u*u)**(-2\/71))**(-11) assuming u is positive.\nAnswer: u**(286\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -3*l**4\/4 - 5*l**3 + 9*l**2 - 86. Factor w(z).\nAnswer: -3*z*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 9. Let k = m - 7. What is the third derivative of 4*r**4 - 10*r**3 + 3*r**2 + 10*r**k wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -76, -217, -484, -919, -1564, -2461?\n\"Answer: -7*j**3 - 8*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21547 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 3*c**2 + c - 13. Let d be k(4). Suppose -7*o + 3*o = -28. What is the highest common divisor of d and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 997715.4 decades?\nAnswer: 119725848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1837)\/501*7\/539?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elqtmitqlqlleeillqe. Give prob of picking 1 l and 1 m.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*(((i*((i**(-8)\/i)\/i)\/i*i)\/i*i*i)\/i)\/i))\/(i*i\/((i\/i**(-6))\/i))*i**(-6\/7)*i\/((i\/((i*(i*i**(-1\/2)\/i)\/i*i)\/i)*i)\/i) assuming i is positive.\nAnswer: i**(163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 34.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4408, 8658, 12908?\n\"Answer: 4250*w + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 4. Let l = 45 - 34. Let a be t(l). Let z(h) = -h**3 - 6*h**2 + 3*h + 2. Is 15 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-32)*-4*2\/(-3). Suppose -2*q + q + 2 = 0. Let -1\/4*y**4 + 1\/4*y**5 - 1\/2*y**3 + 1\/2*y**q + 1\/4*y - g = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(-731*l + 2648 - 589*l - 2648).\nAnswer: 1320*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-10)\/105*18. Let t = -35 - -65. What is the greatest common divisor of r and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1cc0c7?\nAnswer: 1cc0cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/(4\/(-50)). Solve -2*k + 2*g = 6*g - x, 4 = k + g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 3*i - 221, -2*i + 3*s + 154 = 0. Suppose 2*n = 357 + i. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d. Let b(c) = -1227*c. Give p(b(k)).\nAnswer: 11043*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.3. Let i = -0.8 + 1. Let q be (16\/(-10))\/(6\/(-15)). What is the nearest to v in -4, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 501, 677, 923, 1239, 1625?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -186*a - 12515. Calculate g(-91).\nAnswer: 4411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14515 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 3 + 2*k**3 - 11 - 6*k to j*k**2 + a*k**3 + t + v*k and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:05 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -63335322 divided by 3398\nAnswer: -18639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x - 40. Let u = x + 60. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**3 + 9*m**2\/2 - 80*m - 19. Let r(d) = -13*d + 18. Give 9*c(o) - 4*r(o).\nAnswer: -2*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -2*f. Let w be ((-27)\/f)\/(6\/8). What is the tens digit of (44\/w)\/(2\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 237748075?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 2*b + 3*b, -5*b = -4*v + 7. Which is bigger: 18\/11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273400 take away -21.1?\nAnswer: -1273378.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*2*170\/102?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 79 = -56. Suppose -6*w + 89 = -19. What is the highest common factor of w and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031634 divided by -22?\nAnswer: -515817\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 0.25 (c) -50 (d) -0.069 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*h + 13 = 0, 0 = -h - 2 + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*j - j - 12 = 0, 5*n + 32 = -3*j. Sort n, -2, 0, -7 in increasing order.\nAnswer: -7, n, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.1, -38, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/13 + 8*r**2\/13 - 64*r\/13.\nAnswer: 2*r*(r - 4)*(r + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*f - 4*s, -5 = 5*f - 0*s + 5*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4 + 14. Let g be ((-12)\/(-20))\/(r\/10). Let c = g + 43. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 44233244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 400.5206 grams?\nAnswer: 400520600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 5*y**4\/2 - 9*y**2 + 1. Find the second derivative of c(h) wrt h.\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 9381, 24926, 46689, 74670, 108869, 149286?\nAnswer: 195921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*m - 86582, -2*y + m + 6961 = -79621. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 136*u**2 + 3822*u + 542387. Calculate q(-137).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(91)*-2*-3)\/sqrt(7) + 4.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 10*h - 13. Let r be z(5). Let y be ((-3)\/r)\/(1\/(-16)). Calculate the greatest common divisor of 52 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38\/7? (a) -1\/2 (b) 1.266 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:32 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*b - 4 - 87*b**2 + 67*b + 2 - 1 wrt b.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 1 q when three letters picked without replacement from qsnfwhs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, 14, 54, 116, 206?\n\"Answer: v**3 + 2*v**2 + 11*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17790*g - 224 = -5*m - 17789*g, 11*g - 146 = -3*m for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5571 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -d9a?\nAnswer: d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13028552 and 872.\nAnswer: 13028552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3941 - -1626. Let k = -2314.998433 - f. What is k rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 60. Put p, 3, 1, -2 in decreasing order.\nAnswer: 3, p, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4720132*h**2 - 80*h**3 - 4720132*h**2.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 times -1206\nAnswer: 6512.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1345224, -2690594, -4035964, -5381334, -6726704, -8072074?\nAnswer: -9417444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.796 + 1.796. Which is the third smallest value? (a) h (b) -200 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1524, -3044, -4556, -6060, -7556, -9044, -10524?\nAnswer: -11996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 2. Let i(x) = 2*x**2 + 102*x - 94. Let c be i(-52). Give b(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 7 = -21*j + 41 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3172\/51397 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94\/71 + -305\/284. Put -4.4, -5, s in decreasing order.\nAnswer: s, -4.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -579431, -2317755, -5214975, -9271097, -14486127?\n\"Answer: -a**3 - 579442*a**2 + 9*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 21*y - 4*o, -786*y = -789*y - 20*o + 452 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 2. Suppose 0 = -5*z + g*u + 2, -5*z + 4*u + 5 - 1 = 0. Let a(m) = m**3 + m + 3. Give a(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14.9343, 0.2, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/4 - 423\/3. Let u = r + 143. Solve 2\/5*p**4 - 12\/5*p**2 - 6\/5 + 0*p**u + 16\/5*p = 0 for p.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/4078620 and -81\/820040.\nAnswer: 154987560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-120)\/45*(-3)\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0 + 1 + 2*b - 10 + 2*b**2. Let i be (-3)\/(-10 + 86\/8). Calculate the smallest common multiple of 9 and j(i).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -7, -2\/19, -3, 2.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27844318.\nAnswer: 2, 13922159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 8 = 0. Suppose 2*j - 10 = 2*g, y*j - 5*g - 33 = -8. Suppose j*f = f - 21. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.2133 nanometers to kilometers.\nAnswer: 0.0000000000062133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 41 = 2*x + 23, 4*a - 2*x - 50 = 0. Let o be 2\/(-4) - a\/(-20). Let p = -6 - -10. What is the third smallest value in -2, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1719 + 1724. Let x = 14 - 10. Solve -5*m + v*i + 2 = -13, x*m - 5*i - 11 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 202886267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6, a: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47096 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 62*h - 2616. Let n(q) = 2*q. Give o(n(i)).\nAnswer: 124*i - 2616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 574*y + 2349. Determine k(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s**3 + 8*s**2 - 8*s. Let p(c) = 3*c - 3*c - 4*c**3 - 3*c - 3*c**2 + 6*c. Suppose 0 = -5*h + x + x - 34, 5*h = -2*x - 46. What is h*p(f) - 3*a(f)?\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11443*o*y**2 + 158874*o + 31*y**2 + 1 wrt y?\nAnswer: 22886*o*y + 62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:15 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 90140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1 + 1)*(29 - (-616)\/(-21)). Solve -9*k - 24*k - 231 = s for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/(l\/l**(-3\/5))*(l\/l**(-1))**(-18) assuming l is positive.\nAnswer: l**(-218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*y = -2369 + 2287, -3*h - 70 = 4*y for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -340.331 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542 (base 14) to base 5.\nAnswer: 13123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20049 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 3.04. Let l = 1.5 - 5. Let x = l + 4. Which is the biggest value? (a) x (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbywdbbdbdybby. Give prob of sequence ydw.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 17 = -0*j. Let w = j - -26. Calculate the least common multiple of w and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (5 + 6)) + (3 - 11 - -27).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5802 + 5801. Put 67, -5, -0.2, j, -3 in ascending order.\nAnswer: -5, -3, j, -0.2, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - 0 - -2) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - d**2 - 73. Let y be p(0). Let o = 156 + y. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*z + 4, 4*z - 10 = 3*b - b. Suppose z*t + 21 = h, 0*h - 4*t = 5*h - 10. What are the prime factors of (h\/4)\/(9\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by 2325900.\nAnswer: 16\/193825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 89 = -22*r. Suppose -r = -b - 4. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 15 - 65. Let n be (5 - 3)\/((-4)\/(-14)). Let f = y - n. Solve -t + 1 = f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-69))\/((-33)\/55).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -423*c - 2*c**2 + 416*c - 4*c**2 + (0*c + 2*c - c)*(-2 - c + 2) - 3*c**2 + 5*c**2 - 4*c**2 - 2*c**2 - c**2 + c**2 - c**2 + 21*c**2 - 2*c**2.\nAnswer: 7*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1635 and 51799089?\nAnswer: 258995445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 67 - 29 = 0. Suppose a = 2*t - 32. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1064 + -5322\/5. What is the closest to -1 in -0.07, 0, 0.06, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = -7. Let c be -4 - (y + 1 + -3). Suppose -2*z - 2*o + 16 = 0, -3*z + o = c*z - 10. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 880*u**2 + 12404*u + 21320.\nAnswer: 4*(u + 2)*(u + 13)*(u + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2584 - 2583. Which is the closest to j? (a) 0.42 (b) 2\/29 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0*q**5 - 1\/3*q**3 + 0*q - 1\/30*q**7 + 0*q**4 + 2*q**2 + 0 + 0*q**6. What is the first derivative of y(m) wrt m?\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731276 is divided by 2335.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2. Suppose 0 = -4*f + 3*f + 2. Let m(d) = -4*d + 4*d - 2*d**f + 0*d. Determine x(m(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274209282*q**6 + 4106*q**2 + 6166*q.\nAnswer: 32905113840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:02 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 2\/5, 8, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 214 + -137. Calculate the greatest common divisor of 22 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 19*c = -56 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/84)\/(-6 + (-6874)\/(-1146)). Let u = 12651\/448 - y. What is the common denominator of u and -145\/6?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*o**3 + 367*o**3 - 708*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 63, -3, 32, 0 in increasing order.\nAnswer: -3, -1, 0, 32, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 164\/10)\/((-2)\/5) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158 + 1330 = -69*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4273 - 2162. What are the prime factors of f?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91326, -2, -5, 39 in increasing order.\nAnswer: -91326, -5, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 2 + 2 - 20*n - 2*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(-5 + 126\/27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 357324.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + a + 3*a = -119, -39 = -c - 3*a. Let z = c + -15. Let g = -3727 - -3733. What is the greatest common factor of g and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20578, -20604, -20632, -20662, -20694, -20728?\n\"Answer: -p**2 - 23*p - 20554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998*q**2 - 1220*q**2 + 516*q**2.\nAnswer: -1702*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -22. Let m be (6\/(-24))\/(v\/(-16)). Factor 6\/5*d - m*d**2 - 4\/5.\nAnswer: -2*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2780 = -3461455*w + 3461705*w + 14220 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0.154. Let n = 0.156 + y. Sort n, 5, -3, 3 in descending order.\nAnswer: 5, 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/231 and 89\/158813358.\nAnswer: 1111693506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 91, 164, 235, 304, 371, 436?\n\"Answer: -m**2 + 76*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 3*t**2 - t**3 + (4*t**2 - 2*t**2 - 4*t**2)*(2*t - t - 3*t) - 1 + t**3 + 1 - t**3 + 0*t**3 + 0*t**3 + (-1 + 2 + 2)*(-8*t + 8*t - 5*t**3).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2486, 4, -5, -444 in decreasing order.\nAnswer: 4, -5, -444, -2486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875022 is divided by 246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - (sqrt(200) - (sqrt(200)*-1*-3 - sqrt(200)))) + sqrt(200))\/sqrt(5))\/((-3*sqrt(24)*-1)\/sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 70*r**2 + 3*r - 5. Let i(b) = 71*b**2 + 4*b - 6. Calculate -5*i(h) + 6*p(h).\nAnswer: 65*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101.852 * 3.7\nAnswer: 376.8524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -80. Put 3, m, -855 in ascending order.\nAnswer: -855, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.3 (b) 10345 (c) 0.0184 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2700\/(-378) - (-2)\/(-4)*-14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w - 0. Suppose -k - 25 = -w*k. Put k, -1, -5 in ascending order.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08093 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103318509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 304*n - 60 - 14*n**2 - 400*n + 5*n**2.\nAnswer: -3*(n + 10)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 - 36636\nAnswer: -36633.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23467252 - -47?\nAnswer: -23467203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/5*(1 - 6). Suppose -v + 2 = q*b + 5, 0 = b + 2*v - 8. Is 40\/(-3)*3\/b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -277*i. Let t(k) = -23*k**2 + 9*k - 18. Let f(s) = -5*s**2 + 2*s - 4. Let h(q) = -18*f(q) + 4*t(q). Calculate h(b(x)).\nAnswer: -153458*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232242566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 + f**3 - 5*f**2 + (3*f + 2*f - 3*f)*((3 + 1 - 5)*(f + f + 0*f) - 1 + 1 + f)*(3 - 4 + 2)*(125*f + 17*f + 50*f).\nAnswer: -383*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22917871303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -216 in 2\/15, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1578, 1584, 1590, 1596?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3994*t + 2871 + 2903 - 13532*t - 5774 to the form i + y*t and give y.\nAnswer: -17526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -42*w**3 - 15*w**2 - 27. Let x(u) = 6*u**3 + 2*u**2 + 4. Let a be 2\/(-7) - (-313)\/(-7). Let b(h) = a*x(h) - 6*i(h). Differentiate b(c) wrt c.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-4))\/m)**(-14\/9) assuming m is positive.\nAnswer: m**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 3*j + 4*g, -4*j - 5*g = 0. Suppose j = -y + 4*l - 0 + 14, -53 = -5*y + 3*l. Let f = y - -30. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {i: 1, d: 5, q: 12}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 49120 = -7*l. Suppose 28*v - l = 10744. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2579 and 7?\nAnswer: 18053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by 6.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 5 + 5*f + 3 + 2. What is the least common multiple of t(-4) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k + 28*k + 11*k)*(3 + 1 - 2)*(4 - k - 4).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 979\/89*(-3)\/(-11). Suppose m*i + 231 = p, -2*i + 246 = p - 0*p. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 2*s**2 - 4*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -179275.9.\nAnswer: -179275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(1\/(-2)). Which is the biggest value? (a) -0.4 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 557 = 4*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 683830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.124 and 3.\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 10. Let k = -1 + l. Let r(c) = -c**2 - 5*c + 9. Let a be r(-7). Sort 4, a, k.\nAnswer: a, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616794973.\nAnswer: 53, 61, 107, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15))\/((-110)\/(-462)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 14 + 7 = -i, 0 = 5*i - 4*j - 38. Suppose -f - i = 4*f, 2*f + 510 = 2*h. What is the highest common factor of 23 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -3*b + 4. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(2 - 3) + -2. Suppose -2*f + 7 = -b, -5*t + 50 = -5*f. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 9*f - b + 2*b = 7*f + 2*f + 2*f + 9, 0 = -9*b + 126 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2949 + 4208. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70735840 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u + 138. Let g = u - 34. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, o: 3}. What is prob of sequence ww?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7680261*v**3 + 2*v**2 + 2*v - 515001.\nAnswer: -46081566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 58095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from srrfpfpp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1222*l + 1222*l + 315*l**2)*(0*l**2 + l**3 + 0*l**2).\nAnswer: 315*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = 10. Suppose 2*p = i*p - 9693. Let o = p - 13025\/4. Calculate the common denominator of 67\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/146340 and -103\/102438?\nAnswer: 1024380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2352, 1984, 1616?\n\"Answer: -368*z + 2720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**2 - 11*d + 5. Let a be h(5). Suppose -t + 5*o + a = t, t - 114 = -3*o. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7589 + 7574. Let x be (4\/(-6))\/(4\/(-3)). Put q, x, 3 in decreasing order.\nAnswer: 3, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1119741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -11\/33806284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -169, -256, -331, -388, -421?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 9. Let r be 12*-1*1\/2. Let j be y(r). Let p(a) be the third derivative of -a**6\/120 - a**5\/20 - 2*a**3\/3 - a**2. Determine p(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 - 209. What is the first derivative of 11 + 81 - 4*l**z - 3*l**2 + 33 - 9*l**3 wrt l?\nAnswer: -39*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124004 (base 5) to base 2.\nAnswer: 1000110100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 76 = 10*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414020 by 414020.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 5. Put o, 4, 3 in decreasing order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13360801*g**2 - g + 12679942 with respect to g.\nAnswer: 26721602*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:02 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19451, -37883, -56315, -74747, -93179?\nAnswer: -111611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.8. Let u = -36\/49 + 95\/196. Which is the smallest value? (a) 9\/4 (b) u (c) -0.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(4\/9)*x)\/x*x\/(x*x**(-5\/9)))**(-7\/2))**18 assuming x is positive.\nAnswer: x**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102200326 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtttmgmgttmettetggg. What is prob of sequence ttmg?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0*5.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - -1) + (-2024)\/276. Put u, 1, -1.7 in decreasing order.\nAnswer: 1, u, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105216643?\nAnswer: 7, 61, 239, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 319 - 123*r**4 - 35 - 303 + (0*r + 4*r - 1 - 3*r)*(-r**2 + r**2 - 3*r**3) as y*r**4 + c*r**3 + p*r + f + s*r**2 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -77. Suppose h - 2*h - 135 = -5*c, -5*c = 5*h - 165. What is the greatest common factor of c and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**(-8)*r**(-6)*r\/(r**(-4)*r))**(1\/18) assuming r is positive.\nAnswer: r**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:47 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -242399, -969508, -2181357, -3877946, -6059275, -8725344?\n\"Answer: -242370*o**2 + o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047 times -182?\nAnswer: -8.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/45 + (-412)\/60 and -103\/268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438179.\nAnswer: 7, 62597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341488902 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -267*h**2 - 849*h + 3. Let a(l) = 11*l - 1. Let p(n) = -3*a(n) - i(n). Find the second derivative of p(q) wrt q.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 12 - 27, 5*o = v + 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 64005515 (base 7) to base 4\nAnswer: 110221233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*u - 162*u + 183*u + 362*u + 153*u.\nAnswer: 644*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y + 4. Let c be ((-1)\/(-3))\/((-1)\/15). Put y, c, 3 in decreasing order.\nAnswer: y, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4517*m - 533*m - 369569 = 4578*m - 2655*m for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 23 - (2 - -7) - (3 + 14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94478077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = -t, 0*x + 5*x = -t - 3. Calculate the lowest common multiple of t and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207859 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/20 - (-14)\/8. Suppose -5*v = -2*h - 297, 4*v - 153 - 81 = -t*h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and 2.3457?\nAnswer: 79.7538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3194 - -223232\nAnswer: 226426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*l + 1. Suppose 4*h - 3*t = -t + 54, t = 1. Let y = l + h. Solve -11 - y = 4*r - q, -2*q + 14 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23061 by -12276.\nAnswer: -7687\/4092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.3 (c) 2\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80988890 divided by -8098889.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 5*y - 1. Let n be a(4). Solve 6 = n*o - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*y**2 + 51*y**2 - 4*y**4)*(38*y + 47 - 22 - 23).\nAnswer: -152*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/((-13)\/((-104)\/16)). What is the nearest to 1 in -1\/5, f, 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133273 plus -325?\nAnswer: -133598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4842473 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*n + 5*p, 5*n - 3*p + 2*p = -8. Let q = 2 - n. Suppose 8 = -0*r - 2*r, -q*u - r + 156 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183583*y**2 - 95720*y**2 - 94226*y**2.\nAnswer: -6363*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*l - 83 + 330 = 0. Sort 2, -6, l, 5, -5 in decreasing order.\nAnswer: 5, 2, l, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001881538561 to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n + 0)*(-3 + 4 - 3) + (0*n + 4*n - 5*n)*(-3 + 3 + 1).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 + -15*(-3)\/27. Let c = 1458 - 1457.763. Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42308671 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -740, 11, 19, -4 in decreasing order.\nAnswer: 19, 11, 3, -4, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*u - 5 - 215 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3. Let p(v) be the first derivative of -4*v - 6. Suppose -2*m - 210 = -16*m. Let h be (-21)\/3 - (-19 + m). Determine h*q(u) + 2*p(u).\nAnswer: 3*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 348 or 347?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8969271?\nAnswer: 3, 2989757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n*(n\/n**(2\/5))\/n)**24*(n*n**(-6\/11))\/(n*n**(-4))*n**3*(n\/n**(2\/7))\/n assuming n is positive.\nAnswer: n**(54119\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - o = -7*u + 54, -3*u + o + 34 = 0. Let n = 0 - 0. Solve n = 4*a - 2*a + u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z**3 + 1560*z**2 - 1269*z + 22. Give k(141).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + 3*o - 4*o**2 - 334*o**3 + 333*o**3)*(-o + 3*o - o) as j*o**3 + n*o**2 + u + i*o + z*o**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14160243 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/6, 279\/29, -4\/9, -0.3 in ascending order.\nAnswer: -4\/9, -0.3, 11\/6, 279\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(833)*2 + 5)*-3.\nAnswer: -168*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + t - 6, 0 = -4*a - 4*t + 64. What is the tens digit of 505*1*7*a\/245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, 1 n, and 1 g when four letters picked without replacement from {b: 4, i: 1, g: 5, w: 2, n: 2}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q + 20 = 0. Let b(w) = 2*w**2 + w - 1. Let n be b(1). Let c(t) = -5*t + 4*t**2 + 2 - 3*t**n - 5 + 0. What is c(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -3 (c) 22 (d) -61\/27 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/(-60))\/(12\/(-18)) - 5.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -883182*m**2*r - 5*m**2 + 114102 wrt r?\nAnswer: -883182*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.169 * -274.\nAnswer: 46.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2. Let v(g) be the third derivative of -37*g**4\/12 - 23*g**2 - 1. Determine v(r(i)).\nAnswer: 222*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107531\/12 + -8955. Find the common denominator of p and 1\/330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 40*p - 45*p - 4*z, -2*p + z - 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-24) + (-1 - -3) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(4)*4 + -3*(sqrt(34) - sqrt(136)))\/(sqrt(14)\/(sqrt(567) + (sqrt(567) - (sqrt(567) + 3*sqrt(567)) - sqrt(567)))).\nAnswer: -189*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -265152, -265150, -265148, -265146, -265144?\n\"Answer: 2*l - 265154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 12 - 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 4, 2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 19120*f - 2079000.\nAnswer: -2*(f + 110)*(f + 9450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 + -1.2. Let q = -0.2 - 0. Let f = 19480.2 - 19480. What is the fourth smallest value in f, 7, w, q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + r**5 + 3*r**3 - 3*r**5 + (-6*r**4 + 3*r**4 + 2*r**4)*(-9*r - 6*r + 3*r).\nAnswer: 10*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7895637 - -31782531. Suppose -2*c + j = -2913106. Round c to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3893 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -13\/24 (b) 2\/5 (c) 0.3 (d) 3 (e) -0.156 (f) -2 (g) 57\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001403883 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1145266892.5809922 + -1145266987. Let d = 94.441 + h. Let n = d - 0.022. Round n to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 28*n**2 + 18*n - 59. Let c be x(-27). Let j = c - 184. Solve j = -8*h + 13*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -10) + -20 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -22*g - 1\/2*g**2 + 0*g**3 + 1\/12*g**4 + 0. Let r(d) = 12*d**2 - 10. Calculate -10*c(q) + r(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tata when four letters picked without replacement from {t: 3, a: 15}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + y - 2383, -3*h + 20*y - 12*y = -2455. What is the smallest value in h, 1\/5, 5\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 - ((46 - 10 - -3) + -5)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -12. Solve -7*k = 10 + l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -66, -170, -366, -684?\n\"Answer: -5*p**3 - p**2 - 4*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**4 + 3*y**3 + 3*y**2 + 5*y. Let m(i) = 4*i**4 - 16*i**3 - 16*i**2 - 24*i. Let q(a) = 14*h(a) + 3*m(a). Factor q(r).\nAnswer: -2*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (63\/14)\/(14\/(-2042)). Suppose -3250 = 5*j + r - 0*r, -4*r = 3*j + 1933. Let t = j - y. Find the common denominator of t and 83\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/15)\/4*(-10)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40000 divided by -5.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 28 - 11 = 0. Let z = -315 + 333. Solve -z*r - 20 = -c*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25047, -25045, -25033, -25005, -24955, -24877?\nAnswer: -24765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1044319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - ((1 + sqrt(833))*-1 - sqrt(833)) - (-1*sqrt(833) + sqrt(833) + 4))*-1 + -1)**2.\nAnswer: -84*sqrt(17) + 7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8655*t**3 + 90144*t**3 - 9424*t**3.\nAnswer: 72065*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqdjvvjavvqhjqvhj. What is prob of sequence hjvh?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. Solve 0 = k - 3*k + d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10470 + 10475. Sort -2, 21, 0.2, -0.3, u.\nAnswer: -2, -0.3, 0.2, u, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*d = 3*d - 4, 36 = -5*x - 4*d. Let t be (x\/6)\/((-14)\/525). Factor -t*h + 1 + 23*h - h**2 - 2.\nAnswer: -(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -38*c - 165. Calculate the remainder when 89 is divided by v(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*o**5 + 238*o**2?\nAnswer: -10200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467233 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1062380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15251094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 3. Let v be z(6). Let c(k) = -9*k + 1. Does 14 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3.6. Suppose 4*s + 6*r = 2*r - 20, 0 = 5*s + 4*r + 21. Which is the nearest to s? (a) -4 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 * -0.2421\nAnswer: 18.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 3*s, -c + 3*s + 3 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + -3*sqrt(1053) + sqrt(1053) - sqrt(1053))**2.\nAnswer: -162*sqrt(13) + 9490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 28573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 10*o + 15 = 0. Let g(p) = o*p + 3*p - 7*p. Let l(s) = 2 - 2 + 14*s**2 - 9*s**2 + 10*s**2. Determine l(g(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 27*x**2 - x. Suppose -2*y - y - 2*j = 0, y + 5*j = 13. Let n be d(y). What is the greatest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.365 + -1.365. Which is the third biggest value? (a) -0.15 (b) 9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 13*t**2 - 18*t**2 - 4*t**2 + 4*t**2. Let x(l) = 141*l**2. Determine x(k(y)).\nAnswer: 564*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-8 + 4 + -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2\/13, 3.8, -1, -3\/62 in decreasing order.\nAnswer: 3.8, -3\/62, -2\/13, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (89 - (0 - -2)). Suppose 0 = -4*y - 11 + 35. Let r be y\/1*(-10)\/(-6). Calculate the highest common factor of q and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 106572332*p**4 + p - 440901630 wrt p?\nAnswer: 426289328*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1cd (base 15) to base 7\nAnswer: -1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -9409\nAnswer: 75272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -96 + 92 - 9*m - 16*m + 27*m. Let v(p) = -p - 1 + 0*p + 2*p. What is -j(g) + 3*v(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -538160 divided by -2480?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -527.072844 to the nearest integer.\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8\/11)*x\/(x\/(x**(-25)\/x)) assuming x is positive.\nAnswer: x**(-294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 65.\nAnswer: 7\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7324604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 5\/(20\/44) - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-2) - (36\/(-8))\/(-9). Put 5, p, 2 in increasing order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109*w + 109*w + 3*w**3)*(-w - w + 0*w + 2) to u*w**2 + s*w**4 + j*w**3 + l*w + t and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12693609059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -32*t - 125. Let f be a(-4). Solve 2*o + f*i = 5*i + 4, 0 = -5*o - 3*i - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5259*c**2 - 5254*c**2 - 11*c + c + (0 + 3 - 4)*(-21 - 20*c**2 - 20 + 40) as z*c**2 + v + b*c and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2403 + -845. Let m = g + -1551.53. What is m rounded to 1 dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54670 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142838 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 6*q**2 - q**2)*(5 - 2 - 1)*(-4 + 1 + 1).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -10.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (-3 + sqrt(242))*-2 + 4 + -4 + sqrt(242)*-1 + -1)**2.\nAnswer: -132*sqrt(2) + 2186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63407286?\nAnswer: 2, 3, 391403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 = 5*b + 3*r, -b + r = -3. Let s = -0.04 + 0.09. Let l = s - 0.15. What is the smallest value in b, l, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ess when three letters picked without replacement from {e: 5, m: 3, s: 8}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22302 (base 16) in base 13?\nAnswer: 4b97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -271, -3, 0 in increasing order.\nAnswer: -271, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*n + j = 971*n + 2, -j = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4273566?\nAnswer: 2, 3, 11, 73, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4856 = -n + 20096, 2*j - 49832 = -2*n. What are the prime factors of n?\nAnswer: 2, 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(1\/7)\/v)\/v))**11*v\/v**(-10)*v**(-4) assuming v is positive.\nAnswer: v**(269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1160 and 548873720?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 - 232.1. Put 2, -2, 5, n in increasing order.\nAnswer: -2, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.033 and 2.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (231\/(-28) - -7)*(0 + 4). Let q be 2*x\/5 - -7. Solve 15 = q*f, f - 2 = -3*w + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.36 + -92.64. Let f = -130 - p. What is the third biggest value in 4, 2, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-12))\/((-4)\/16). Let f(i) = 14*i - 5. What is the units digit of f(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 494, 1, -4, 0, -3, -2.\nAnswer: -5, -4, -3, -2, 0, 1, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 20*t - 7. Suppose 0 = -110*j + 106*j + 108. Calculate the remainder when i(7) is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000865 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -15. Let t = 5 + h. Let d(j) = j**3 + 3*j**2 + 2*j + 3. Determine d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {c: 2, r: 1, o: 1, s: 1, a: 1, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 3, c: 10}. What is prob of sequence lfc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086423 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 4*k + 2*k + (-9*k + 2*k - 6*k)*(-1 + 4 - 5)*(-5 - 4 - 2).\nAnswer: -284*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638742521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 11983239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1. Let w(m) = -2*m - 8. Suppose 10*n + 180 = 70. Let f = 3 + n. Let s(t) = f*g(t) - w(t). Let p(d) = d. What is p(s(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 + -6 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 0.517.\nAnswer: -0.3619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36562329 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 48 = 2*r. Suppose 416 = -7*c + 444. What is the highest common divisor of r and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 2*l + 8050*l**3 - 16131*l**3 + 2 + 7997*l**3 as w + d*l**2 + t*l + o*l**3 and give o.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5\/6, -418, -0.1?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/154 and 73\/127624?\nAnswer: 1403864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -51*4.14\nAnswer: -211.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13540, -54126, -121744, -216394?\n\"Answer: -13516*y**2 - 38*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 220 times 4\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 - 6*p**2 - 4*p - 5. Let x(a) = -7*a**3 - 13*a**2 - 9*a - 11. Suppose 49 = -2*b + 61. Give b*x(z) - 13*n(z).\nAnswer: -3*z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c6 + -1e?\nAnswer: -1e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91316 and 55611444?\nAnswer: 55611444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 825274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from grrgggrgrrgggrrggrr?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r + 6*r - 3*r + 4*r - 44 in the form x + u*r and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. Let b = -60 - -63. Sort q, -5, b in descending order.\nAnswer: q, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/10)*v*v**4*v)\/((v**9*v*v)\/(v*v**(-8))) assuming v is positive.\nAnswer: v**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10636 and 1090559601.\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -0. Suppose w*q + 55 = 175. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013227 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66314.25 micrometers to nanometers.\nAnswer: 66314250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 4*q + 6. Let z be g(-6). Let v be (-1 - 0)*-3 - 1. Solve -2*l = -4*u - z, l + l = -v*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6300, 12904, 19508, 26112?\nAnswer: 32716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.115 times 3.64045\nAnswer: 0.41865175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -15. Suppose 4*h - w*s - 32 = 0, 2*h - 5*s = -2*h + 36. Solve -4*i + 0*i = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 208*l - 368. Let f be a(-4). Which is smaller: -1199 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 11479365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(3 + 3 + 138\/(-18)). Let y(c) = 2*c + 39. Let q(r) = 4*r + 76. Let o(j) = n*y(j) - 2*q(j). Let g(b) = 4*b. Give o(g(k)).\nAnswer: 8*k + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 36, 60, 88?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9)*(8 - 32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/480 and -17\/2457.\nAnswer: 393120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 - 19. Suppose a - 19 = -y, -c - 7 = 4*y. Suppose -6*x = -89 + a. What is the smallest common multiple of 2 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6235873 - 18.\nAnswer: -17.3764127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63914.\nAnswer: 2, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 21482156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167.7867 + -0.1133. Let o = 168.2 + c. Suppose -20 = -2*g - 4*i, -4*g - g + 76 = -3*i. What is the closest to 0.1 in g, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7401632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 327*y**5 - 166*y**5 - 6*y**4 - 157*y**5 + y**3 - y**5 - y**3 + (4*y - 2*y - 4*y)*(4*y + 4*y**4 - 4*y).\nAnswer: -5*y**5 - 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - a, 5*v + 2 + 2 = -a. Suppose v = -2*j - 2*j + 40. Let u = -36 - -44. Calculate the smallest common multiple of u and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:38 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75040722 + 276.\nAnswer: 75040998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 7053699?\nAnswer: 7053699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/4 + 8*c**3\/3 - 13*c**2\/2 + 45*c - 12576. Determine t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 32\/15, 0.1, -33.1, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190*k**3*s**3 - 10*k**3*y**2 + 5*k**3 + k**2*s**2 - 254*s**3*y**2 with respect to y.\nAnswer: -20*k**3*y - 508*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 16. Suppose 2*l - 23 = 3*a, -4*a + 5*l = -a + 35. Let w = a - c. Sort -3, -5, w in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 749 = 233. Let k = i - 69. Solve 0*w = -v + 4*w - k, 5*v - 3*w + 17 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zno when three letters picked without replacement from {z: 2, b: 1, o: 4, n: 6}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 4*l + 3*l - l)*(1 - 2 + 3)*(-3 + 7 + 11).\nAnswer: 30*l**2 - 60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000260120555 rounded to 6 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*l + 5*l. Suppose 13 - 35 = -l*k. Solve 0 = 4*m + 31 - k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 120733 + 241917 - 2*y**2 + 0*y**2.\nAnswer: -y**2 + 362650","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 204.2.\nAnswer: -1429.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 = 4*b, 5*h - 15 - 3 = -2*b. Let q be b\/5*420\/(-8). Let d = -25 - q. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hckckckffflflkkkklf. What is prob of sequence lh?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 - 4*h + 1. Let q be j(-4). Solve 4*p - 3 = q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 284652*u\/7.\nAnswer: -2*u*(u + 142326)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - x - 7056 = 0, 5*n = 12*x - 7*x + 7080. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 5. Let o be l(5). Let j be 6\/(-2) + (13 - o). Let i be (-1)\/2 + (-72)\/176. Is i > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 18?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 22\/(-12))\/(106\/(-8904)) - 41.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 371 - 363.96. Let k = -7 + a. Round k to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbi when three letters picked without replacement from ibbbibbbbbiii?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -6*t + 50 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o = 33 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 354?\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3048, -3047, -3046, -3045, -3044?\n\"Answer: l - 3049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 4*a + 2*a + 3*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/(y*y*y**(1\/4)\/y))\/((y**(-1)*y)\/y*y*y\/y**(-2))*y**(-3)*(y\/(y**3\/y))\/y*y**(1\/3)\/(y*y\/(y\/y**(-6\/11))*y) assuming y is positive.\nAnswer: y**(-445\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5491827 to the nearest ten thousand.\nAnswer: 5490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 30*y**4 - 2*y**2 + 2*y + 29. Let j(l) = -31*l**4 + 3*l**2 - 3*l - 29. Let h(f) = -2*j(f) - 3*p(f). Differentiate h(g) wrt g.\nAnswer: -112*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(65\/(-20) - -4) - 1. Which is the fourth biggest value? (a) -0.5 (b) 1.3 (c) o (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*9*(-10)\/180\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001110110 (base 2) in base 6?\nAnswer: 42342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - f + (-2*f - 1 + 1)*(6 - 4 - 1) - 3*f + 0 + 0 + 2*f - f - 2*f - 7*f + 0*f - 6*f + (-2 + 2 + 2)*(2*f - 4*f + 0*f) - 2*f + 1 - 1 - 4*f + 2*f + 3*f.\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100021001 (base 3) in base 7?\nAnswer: -504136","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -30.6, -34, 2, 5\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5006 - -5073. List the prime factors of r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287*v + 1362*v - 681*v + 203*v + 1295*v to the form t*v + o and give t.\nAnswer: 2466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2. Let t = 0 + 4. Suppose 5*s = 3*k + 16, t*k + 6 = s - 4. Give c(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43472726 + -5?\nAnswer: 43472721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*v**2 - 35*v**2 + 9*v - 9*v - 42*v**2.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4\/5))\/(b*b\/(b*b**(-4)))*b*b**0*b\/(b*b**(6\/11)))\/((b*b**(-4))\/(b\/b**(6\/11)))**26 assuming b is positive.\nAnswer: b**(4789\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9679*s**4 + 5*s**3 + s**2 - 46899*s.\nAnswer: 116148*s**2 + 30*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 1 + 1)*(-3*d**2 - 2*d**2 + 2*d**2) + d**3 + 2*d**3 - 2*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 377204775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -7*j - 2*j. Calculate the greatest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20002411000 + 0?\nAnswer: 20002411000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617468.\nAnswer: 2, 29, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -y. Suppose y*p + i = -2*i - 83, -2*p + 4*i = 14. Let x = p - -33\/2. Which is smaller: -2\/3 or x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169624576*x**2 - 11409024*x - 191844.\nAnswer: -4*(6512*x + 219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*u + 242*u = 1407 + 4345 + 41204 for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*r + 28, -8 = -m + 5*m - 5*r. Let n = 2 + m. Let v = 8 - n. Solve 4*u - 6 = 3*b + 5, -3*b + 24 = v*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l - 80*l - 2 + 6*l + 2*l**3 - 3 + 33*l**2 - 3*l**3. Calculate m(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)*r*r*r**(-16\/5) assuming r is positive.\nAnswer: r**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1319, 1322, 1335, 1364, 1415, 1494?\n\"Answer: m**3 - m**2 - m + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -23 (c) -63 (d) -0.3 (e) 2\/83 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24973\/1017)\/221)\/((-3)\/((-54)\/(-40))).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Is -37*l*(-2)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -8.77.\nAnswer: 43.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -26*i**5\/5 - 18*i**2 + 17. Find the second derivative of m(t) wrt t.\nAnswer: -312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6993.222 - -7006. Let w = -53.752 - x. Let u = w - -66. Round u to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*m - 290*m - 50037 = 0. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Suppose -3*j + 6 = 3*d, 0 = -5*d - 14*j + 12*j + 4. Let i(t) be the first derivative of d*t + 0*t**2 - 7\/3*t**3 - 27. Give u(i(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214 + -149. Let u be (-465)\/i - 2\/(-13). Let y be 14\/u - 6*-3. Solve 0*p - y = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + 22\/6. Suppose -36 = 3*n - l*n. Let f = n - 14. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -j + 11470, 92*k - 45846 = -4*j + 97*k. What are the prime factors of j?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*f - 59*f - f**3 - 56*f.\nAnswer: -f**3 - 158*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78685\/21 - -3747. Sort -4\/3, i, -62 in descending order.\nAnswer: i, -4\/3, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(3*q - 5*q + q)*(18*q - 2 + 23*q - 45*q).\nAnswer: -4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 - (2 + -22). Let n be z\/11 - (-4)\/22. Suppose -46 + n = -2*r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-9))**27 assuming n is positive.\nAnswer: n**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -57*o**5 + 7905*o**4 - 279078*o**3 + 3224148*o**2 - 6568056*o - 2404512 = 0.\nAnswer: -6\/19, 3, 22, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59682356 divided by -14920589?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221371.\nAnswer: 31, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4928 + 1185 - 7967 = -5744*g - 222. Factor 445\/3*h**g - 10120\/3*h - 5\/3*h**3 + 9680\/3.\nAnswer: -5*(h - 44)**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2 - 4*s + 6. Let p(u) be the third derivative of u**5\/15 + u**4\/12 - u**3\/2 - 319*u**2 + u. Calculate 5*p(q) + 3*r(q).\nAnswer: -4*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 7*p**2 + p - 8. Let l be h(7). Sort 1, l, -2, 0 in ascending order.\nAnswer: -2, l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 4*h + 5. Let j be m(4). Suppose -j*b + 26 + 29 = 0. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 46000.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 23*d**2 - 29*d + 300. What is q(-21)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*z + 10071. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 96 = 36. Suppose -29 = -2*l - 5*v, -8*v + p = -4*v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/44*2\/(-1)*3. Suppose -4*t - h*v + 1895 = 374, 0 = -3*v - 15. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111010010 + -1?\nAnswer: 100111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 3*b**2 - 4*b + 1. Let l(v) = -v**2 + 0*v + v + 0*v. Let q(y) = -133*y - 25668. Let z be q(-193). Give z*g(c) + 4*l(c).\nAnswer: 2*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3927, 3928, 3931, 3936, 3943?\nAnswer: 3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 4*s - 6. Let v(i) = -i + 4. Let h be v(1). Let n = 6 - h. Let o(m) = -n*m**2 + 11 + 23*m + 17*m - 47*m. Determine 4*o(a) + 7*u(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 19*s**2 + 21*s + 36. Let t be l(-20). Solve n = 5*y - 20, -5*y + 3*y = -2*n - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**7\/105 - 13*r**6\/15 - 311*r**5\/15 + 117*r**4 - 243*r**3 - 72*r**2 - 2. Solve o(j) = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/8 + 32 + -23.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f + 3. What are the prime factors of t(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58626*n**4 - 58654*n**4 + 4*n**2 - 2*n - 3 + 2 as u*n**2 + j*n + v + k*n**4 + p*n**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + p = b - 103, -5*b = -2*p - 131. Is (b - 1)\/(15\/10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 26 = -3*n. Let h = n + 51. What is the greatest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132847544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((27\/((-324)\/(-168)))\/2).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 + 3*o + 5. Suppose 0 = t - 5*c - 7, 5*t = -5*c + 35. Suppose -2*p = -z - t, -6*z = -7*z + 5. Let n(r) = -r**2 - r - 1. What is p*n(u) + q(u)?\nAnswer: -2*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 53. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -2\/3, 51\/13, 0.5, -4, -726, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 211990461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*(-2)\/20)\/(-21). Let n = 29967 - 29966. Which is the closest to n? (a) x (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - -331. Calculate the highest common divisor of 40 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -374, -737, -1096, -1451, -1802, -2149?\n\"Answer: 2*p**2 - 369*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -23. Let h(j) be the third derivative of 0*j**5 + 0*j**4 + 0 - 1\/3*j**3 - 1\/120*j**c + 0*j + j**2. Find the first derivative of h(d) wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415100 divided by -355?\nAnswer: -9620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - i - 4 = 0, -2*v + i + 0*i = -10. Is (-3 + 21237)\/v*2\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (-2*(sqrt(171) + sqrt(171)*5) - sqrt(171))))\/(sqrt(72)\/sqrt(1152)).\nAnswer: 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 9. Let c be j(14). What is the third derivative of -27*d**5 + d - d + 13*d**c + 21*d**2 wrt d?\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5931, -11892, -17853, -23814, -29775?\nAnswer: -35736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 1. Let r(p) = -p**2 + 3. Let k(c) = 2*f(c) + r(c). Let h(l) = 3*l**2 + 2. Calculate h(g) - 2*k(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 27 = 4*b - 4*y, -3*y - 45 = -3*b. Let l = 13 - b. Let u be 1\/(-1)*(1 - 1). Is u greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 - -56) + -62 + -103.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101\/5 in -2\/7, -4\/19, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11*k - 13. Let o(y) = 5*y - 6. Let t = 29 + -16. Calculate t*o(n) - 6*u(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.459 - 2.68. Let y = -0.463 - g. Let r = 0.2420294 + y. What is r rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 - ((-16)\/(96\/(-30)) + 114\/(-57))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108, -191, -238, -231, -152, 17?\n\"Answer: 3*z**3 - 104*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n + 102. Let u be y(-15). What is the second smallest value in 0.1, u, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -23, -47, 5, -5, -80, 4 in increasing order.\nAnswer: -80, -47, -23, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -2244.\nAnswer: 65\/2244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -201*s - 995. Determine u(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596*q - 5 + 0 - 267*q.\nAnswer: -863*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114, -327, -672, -1155, -1782?\n\"Answer: -y**3 - 60*y**2 - 26*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d - 104 = 66*d. Let z be 1\/(d\/(-8) + -6). What is the fourth biggest value in 3, 0.4, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58125 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 5*c - 25, -2 = -4*j + 2*c. Let g = 5 + -3. Suppose -48 = -2*s - g*l, -3*s = 2*s + j*l - 116. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12293 + -12257. What is the greatest common divisor of 128 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353475201 to the power of 1\/4, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(72)\/sqrt(2) - sqrt(36)))\/(sqrt(12)*5))\/((sqrt(72) + sqrt(72)*1)\/(-2*sqrt(50))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ba (base 15) in base 3?\nAnswer: 212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:36 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1720, -1726, -1734, -1744, -1756, -1770?\n\"Answer: -x**2 - 3*x - 1716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 99*f - 1926. What is h(20)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/60 - 6\/(-18)*1. Sort 1, -2\/15, c, -12 in decreasing order.\nAnswer: 1, -2\/15, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0706401551 to five dps.\nAnswer: 0.07064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4) - (-4)\/8. Suppose 4 = h*m - 2. Let l be m - (-2 + 3) - 1. Solve -k - 4 = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y. Let r(w) = -756*w + 616*w**2 + 756*w - 246*w**2. Calculate r(f(h)).\nAnswer: 5920*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyjjjyjyyyyj. What is prob of picking 1 j and 3 y?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/35*(-35)\/(-130)*1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 4\/7, 14.862, 0.3, 3\/7, 1?\nAnswer: 14.862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 86*x**2 + 0.\nAnswer: 86*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1 - (-3 + 165)\/(-3). Let u = 42 - k. Let n = 14 + u. Solve -f - n*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 7*a**2 + 4*a + 70. Let q = 2599\/2 - 1328. Calculate the common denominator of g(-6) and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d - n - 28, 2*n - 9 = -3*d. Suppose -3*a + 48 + 387 = 0. Suppose a - 133 = 4*i. What is the remainder when d is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 2*t + 1. Let r be k(-2). Suppose 8*q - r = 3*q. Calculate the remainder when 20 is divided by q\/(1\/(-4)) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.278878\nAnswer: -0.0557756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 988*0.20305\nAnswer: 200.6134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-11480)\/680 + (-10)\/85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 2*l**2 + 2*l - 1. Let c be k(1). Suppose 7*j - 2*j - 1315 = c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 2*j**2 + 7*j + 1. Let n(m) = m**3 + m**2 + 1. Let g(u) = -a(u) - 4*n(u). Determine g(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -84 - 25\/2*r**2 - 2*r - 76\/3*r**3. What is the second derivative of s(u) wrt u?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/2? (a) 4 (b) -3 (c) -92 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6.67 times 1.9\nAnswer: 12.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -2, -0.1, 2\/133, 118.61 in decreasing order.\nAnswer: 118.61, 2\/133, -2\/25, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48063623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268119 is divided by 6290?\nAnswer: 3939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*r = -2*t - 3, -4*r + 564 = 48*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1745.88 - 1746. Put 4\/3, 5, -4, -1, p in decreasing order.\nAnswer: 5, 4\/3, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(24\/40).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986229?\nAnswer: 3, 36527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -2\/35, -2\/9, 40?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - 5*sqrt(68)*-1)\/(sqrt(484)*5).\nAnswer: 6*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*z = -954*z + 483*z - 841 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3398 + 3467. Calculate the remainder when 2413 is divided by n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962 - 326 = -572*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1277814643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7152 - 7152.2. Which is the nearest to 2? (a) 0.1 (b) 1\/5 (c) -3\/62 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47848102 to the power of 1\/2, to the nearest integer?\nAnswer: 6917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39\/15)\/(27\/(-135)). Let x = -11\/26 + -31\/234. What is the common denominator of x and (2 - (-84)\/(-27)) + s + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2360, -2412, -2464, -2516, -2568?\n\"Answer: -52*h - 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/1 - (1 + 3 + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020001102 + -11120?\nAnswer: 12012212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 156. Solve a = -5*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqii when four letters picked without replacement from {i: 5, q: 5, t: 1}.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-4))\/((-2)\/(-8)*-1). Let b be 35*(1 - 9\/x). Let r = -226 - -338. What is the greatest common divisor of r and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 + 44 = 2*k + 4*d, -3*k - 2*d + 292 = 0. Does 69 divide (-414)\/(-4)*k\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164 - 136) + (-55 - 0).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150.18 + 182.18. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 - 199320*s**3\/7 - 597972*s**2\/7 - 597976*s\/7 - 199326\/7.\nAnswer: 2*(s - 99663)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-9)\/2*(-6)\/18. Suppose -q - 5 - 4 = 0. Let j be (15\/q)\/(2\/(-6)). Sort w, j, -1 in decreasing order.\nAnswer: j, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhw when four letters picked without replacement from wwbhbhhbbbbbbbwbbb?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k, m + 2*k = -k + 1. Suppose -1 - m = z. Let q(w) = -4 + 0 + w + 2. What is q(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1928228.7ns to minutes.\nAnswer: 0.000032137145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1817606 and 47\/8179227.\nAnswer: 16358454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-1\/32))**(-40) assuming u is positive.\nAnswer: u**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48)\/sqrt(2)*2)\/(-4*sqrt(80)\/(sqrt(30)\/sqrt(3))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -37. Suppose -248 - 52 = -5*j. Calculate the remainder when j is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 13) to base 14.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29962, 59635, 89310, 118987?\nAnswer: 148666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000100744918 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 441, 0.2, 6\/7.\nAnswer: -0.4, 0.2, 6\/7, 1, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 13. Let h be s(5). Let a be 2\/h - (-66)\/18. What is the third derivative of -10*n**2 - 54*n**3 + 0*n**2 + 38*n**a wrt n?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233 (base 7) to base 12.\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 3\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, -84, -431, -1092, -2169, -3764, -5979, -8916?\nAnswer: -12677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-6) + -2)*6. Let r be 8\/(-2 - j) + 11. Let t(c) = -2*c**2 + 12*c + 3. Let z be t(6). Solve -z = 4*x + r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15724378.\nAnswer: 2, 31, 127, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*q + 29 - 23*q + 15*q - 32 to s*q + n and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 15. Let n be c(5). Solve -x + 2*x = n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3274*b + 5 + 0*b**2 - 3269*b + 3*b**2. What is j(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/105 - 29*g**4\/42 - 8*g**3\/3 + 4292*g**2. Factor t(w).\nAnswer: -4*(w + 1)*(w + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 170.7647.\nAnswer: -8.538235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 624794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2456354*p**2*v*x**3 + p**2*v*x + 9*p**2*x**3 - 1469926*v*x**2 wrt x?\nAnswer: -14738124*p**2*v + 54*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etwo when four letters picked without replacement from {o: 1, e: 2, w: 1, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/720 + k**4\/2 + 4*k**3\/3 - 59*k. Let j(r) be the third derivative of f(r). Let a(p) = -121*p**2. Determine j(a(c)).\nAnswer: 121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 440*n**3 - 2*n - 2. Let z(d) = 2*d**3 + d + 1. Determine -i(b) - 2*z(b).\nAnswer: -444*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -86*1190\nAnswer: -102340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*x + 59*x - 448. What is the remainder when x is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27473837 or -137369181\/5?\nAnswer: -137369181\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/((-13)\/6 + 3 + -1). Let x = -21 - t. Let j be (-9)\/x - (-1)\/(10\/96). Which is smaller: 10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -4. Let f = 56 + -56.153. Let q = -0.353 - f. Which is the second smallest value? (a) s (b) -2\/5 (c) q (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120.38 - -122.8908. Let p = 138.9792 + f. Let a = -143 + p. Round a to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 76619.94us?\nAnswer: 76619940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2466, -2470, -2476, -2484?\nAnswer: -2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1684986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5126 + -5125.98. Sort 0.1, a, 4, 0.3, 5\/2 in decreasing order.\nAnswer: 4, 5\/2, 0.3, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/7 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/36*(-24)\/(-16)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.4 (b) 5 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12558843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2511077272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, -854?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc7 + -374?\nAnswer: -135b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -12*i + 49. Let b(t) = t**2 - 5*t + 5. Is b(i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/89 (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2 + 1 + 1059). Let w = 6670 + b. Let c = w + -3697. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjq. Give prob of sequence kj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 14772.\nAnswer: 1\/4924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 116603176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ztzttzztzztztztttzzz?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-3))\/(950\/(-5700))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3655302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 11*b + 6. Let q be y(8). Let m be q\/8*(0 - -8). Let n = -16 - m. Solve 4*s - 5*k = 2*s - 17, 9 = -3*s + n*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -12*i**2. Let j = 29 - 21. Suppose 12 = 14*k - j*k. Let c(f) = 6*f**2 - 4*f**2 - k*f**2 - 5*f**2. Calculate c(w(u)).\nAnswer: -720*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-1\/4)\/x))**20\/(x**(5\/4)\/(((x**(-3\/7)\/x*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(1717\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3379927 = -21*l - 580851. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-42)*147\/1134\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or -83481\/769?\nAnswer: -83481\/769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1 (b) 0.01 (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 26 = v - 5*w, -v - 3*w = -20. Suppose -4*h + v = -5. Let b = 0 + h. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -577, -582, -587, -592, -597?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281176, -562346, -843516, -1124686, -1405856?\nAnswer: -1687026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*(-7 + 6)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -588, -580, -570?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = 0, 4*g + 0 - 5 = -3*p. Suppose -g*v = -2 - 12. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*d**3 + 165*d**3 - 808*d + 808*d - 1541*d**3.\nAnswer: -1969*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - (-16 - (43 + -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.5 + -13. Let r = u - -0.1. Let m = 82.74 + -82.54. What is the closest to 1\/4 in r, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.019189 and -251992747.\nAnswer: -251992746.980811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 minus -5?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 12 = -2*k. Suppose -k*t = -t. Solve 3*b - 2*h - 5 = t, h = -0*h - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*c - 10 = 0, 2*i + 4*c = 11 + 29. Calculate the highest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25600 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2361.911 rounded to the nearest 10?\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 397*o**2 + 3*o - 4160?\nAnswer: 794*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -25*p - 374. Let z = 540 + -555. Let a be b(z). Let n(i) = -3*i + 3. Let w(o) = -2*o + 2. Let r(x) = 3*n(x) - 5*w(x). Determine r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r - r)*(-63*r**3 - 243*r**3 + 71*r**3) to p*r**4 + k*r**3 + z + l*r + g*r**2 and give p.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 5*a)*(653*a - 253*a - 244*a) + a**2 - a + a.\nAnswer: 313*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 62*u**4 + u**3 + 471*u - 469*u + 0*u**3 + u**2 + 0 as l + j*u**2 + a*u**3 + b*u**4 + i*u and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0 + 0)*(-4*h + 5*h + h)*(2167 + 1834 - 719) in the form v*h + x + j*h**2 and give j.\nAnswer: -13128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c**3 - 125*c**2 + 448 wrt c?\nAnswer: -21*c**2 - 250*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 651*p - 627*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 - 24 - 2*c)*(0*c**2 + c**2 - 3*c**2)*(-4*c + 4*c - 3*c) to the form j*c**2 + b + q*c**4 + x*c**3 + o*c and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10983472.\nAnswer: 32950416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12492 + 19083. Is q a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -21a?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 23. Suppose -p = -0 + 2, 0 = 3*n + 2*p - a. What is the highest common factor of 90 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - ((-6)\/15*-5 + -9). Let j(n) = 9*n**2 + 3*n + 1. What is the units digit of j(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 309495 and 11853.\nAnswer: 2785455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -p + 22, -5*p - 3*u = -6 - 16. Factor -4*g**3 + 41*g**2 - 44*g**p + 7*g**3.\nAnswer: 3*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -170723265, -170723267, -170723271, -170723277, -170723285?\n\"Answer: -g**2 + g - 170723265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28192*j + 19046.\nAnswer: 28192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -6*q + 90. Calculate the remainder when 80 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6 and 41\/4083.\nAnswer: 8166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (3*sqrt(22)*-3*-2)\/(sqrt(704)*3*5 + sqrt(704))).\nAnswer: -9*sqrt(2)\/64 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981 divided by 11?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(32\/(-60))*(-4)\/(-14)*41132\/(-1356).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122756, -245523, -368290, -491057?\nAnswer: -613824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31257 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1740 and 189845745?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*j**3 - 18700*j**2 + 23995*j - 5330.\nAnswer: 5*(j - 533)*(j - 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 377594738 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrl when three letters picked without replacement from uelhvleherhe?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 2\/5, -0.1909, -20, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722*w - 58*w**3 + 722*w + 204*w**3.\nAnswer: 146*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 500?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28678*t**5 + 12745*t**2 wrt t.\nAnswer: -1720680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 8501?\nAnswer: 8503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = 11*n + 4*s + 20, -n = -3*s - 4. Let -1\/4*m**n + 0 + 1\/2*m - 5\/4*m**2 + m**3 = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877341.\nAnswer: 73, 25717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 - -346. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 5*r**2 + 5*r - 3. Let p be k(3). Let n = -7 - -19. Let g = p - n. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3051 - -5449. Round m to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 6*w - 118. Let f(k) = 7*k**2 + 238*k - 14. Let a be f(-34). Give z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from {p: 2, n: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.3 - 95. What is the closest to r in -1, 5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 - 2*a**2 - 1. Let t(k) = k**3 - k**2 - 1. Let w(m) = -l(m) - 4*t(m). Let x be (23\/3)\/((-8)\/24). Let o = x + 17. Calculate w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {j: 3, d: 4, z: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i - 5. Let a(p) = 4*p - 1. Let c(u) = -8*a(u) + 3*w(u). Suppose -y = -0 + 4. Let s be c(y). Solve -s = 3*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*3 + sqrt(17))**2 + sqrt(17) + (sqrt(204)*-2)\/sqrt(12).\nAnswer: -sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -12.8\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/12 - 9*q**2\/2 - 10*q + 6. Let p(z) = -z + 6. Let i be p(6). Calculate r(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64784946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*v**4 - 126*v?\nAnswer: -1500*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 4237*r + 231769. What is z(-57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6990 is divided by 2328.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from {s: 1, v: 2, j: 1, q: 4, a: 3, o: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, 81, -0.5, -0.23, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205 and 82.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -36. Let t be -6 - -1 - 0\/3. Let n = t - -7. Solve -5*a + n*a + k = -5*z, -4*a + 22 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**2 + 613 - 613.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, t: 5, v: 1, z: 1, n: 6}. Give prob of sequence net.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.0156.\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58401 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -136. Find the second derivative of -3*m**3 + 27*m**f + 30*m - 6*m wrt m.\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-43)\/(-86)*(-1 + -1*1). Let v be (-6)\/(j*4\/(-20)). Let b be (5\/v*-3)\/(2\/20). Solve -2*a = -5*a - b*l - 20, -2*l = -4*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110001212000 - -100?\nAnswer: 10110001212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + d - 3*d + 20, 3*h - 18 = -3*d. Let b = 139.044 - 139. Let x = b - 0.044. What is the nearest to x in 2\/13, 3, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 2647 = -5881. Which is bigger: 658 or s?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 30675*r - 239. Let h(q) = 4*q. What is k(h(j))?\nAnswer: 122700*j - 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 1)\/((-280)\/6580 + (-126434)\/(-2977826))?\nAnswer: 79, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 106. Solve 4*g - 8 = p*f, 4*f - 4*g + 13 = g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104322748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2135.\nAnswer: 2\/2135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (96 + -61 - 105) + -39 + 1?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1674, -3349, -5026, -6705, -8386?\n\"Answer: -j**2 - 1672*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 1. Let q be g(8). Let n = 57 - 13. Calculate the remainder when n is divided by -10*(-5)\/(q\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 103*j**2 + 3*j + 0*j + 2*j + 29*j**3.\nAnswer: 29*j**3 + 103*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279295, -279180, -279067, -278956, -278847, -278740?\nAnswer: -278635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = 2*v + 4*p, 0 = -2*v + 3*p - 3. Suppose 2*c + 1 = -0*c - l, -3*c + v*l = 6. Is 3\/11 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24314603 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(175) + sqrt(21)\/(2*sqrt(3) - sqrt(3)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**4\/12 + 7*k**3\/6 - 5*k**2\/2 + 40*k. Let v be 0 + -6*2\/(-4). Let p(l) = -l**2 + 4*l - 3. What is v*u(s) - 5*p(s)?\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1459999)\/(-2) + ((-39)\/(-6) - 6). Round d to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvugvq. What is prob of sequence uuv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579712615 is divided by 4653.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34.2 in 0.2, -4\/3, -2\/7, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2197430 is divided by 5195?\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 13 = 5*j, -264056*r = -264047*r - j - 55 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3418181522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -73. Let u(p) = -15*p**3 - 8*p**2 + 11*p + 18. Let d(w) = -7*w**3 - 4*w**2 + 5*w + 8. Let t(b) = -13*d(b) + 6*u(b). What is t(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 261 - -1?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/5 - 8*o**3\/5 + o**2\/5 + 8*o\/5.\nAnswer: -o*(o - 1)*(o + 1)*(o + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 2, 0, -1 in decreasing order.\nAnswer: 2, 0, -1, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -8. Let w be ((-319)\/u)\/((-1)\/(-3)). Let k = w + 56. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11 + 6*m**3 + 7*m**2 + 7 - 5*m**3 + 2*m. Calculate the least common multiple of 20 and j(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-232)\/32*1*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c**3 + 1\/420*c**7 + 1\/120*c**5 + 0 + 0*c**4 - 3*c**2 + 1\/120*c**6 + 0*c. Solve f(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, 498, -2, 0 in descending order.\nAnswer: 498, 0, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 413*b + 12 - 2*b**3 - 5*b**3 - 12 + 2*b**3 in the form q*b**2 + x*b**3 + o + a*b and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 66*c + 2269. Determine o(-89).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9 - 2\/9*g**2 - 8\/9*g.\nAnswer: -2*(g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1937995, -3875963, -5813903, -7751815, -9689699?\n\"Answer: 14*f**2 - 1938010*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -313*x + 327. Let h be m(1). Solve -h*b = -7*b - 42 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44668 times -3?\nAnswer: 134004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*q - 95*q - 25 = 0. Solve q*g + 15 = -d + g, g + 9 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*j**5 + 38180*j**4 - 4348372*j**3 + 2249116*j**2 + 2061160*j = 0. What is j?\nAnswer: -10\/21, 0, 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3664000 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 555, 5, 2, -4, 257 in decreasing order.\nAnswer: 555, 257, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*d + 87, 2*b - 7 = -d - 0*d. Find the common denominator of d*2*(-5)\/24 and (-2)\/(-3) + (-164)\/(-168).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.785264 rounded to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -190, 3\/10, 4, -3?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159832 is divided by 642?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k + 4*k**3)*(-3*k - 3*k + 0*k).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 55776228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 - 221*t + 50. Determine m(44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*f + 6*f. Suppose 2*k + 58 = 5*r, f*k - 8 + 4 = 0. What is the lowest common multiple of r and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546695381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.483108 rounded to one dp?\nAnswer: 507.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-348)\/72 - (-1)\/(-6). Let q(u) = -3*u + 4. Determine q(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 29*h + 76)*(h - 2*h + 3*h)*(3*h**2 - 151 + 151).\nAnswer: -174*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4514*f**2*n**3*v**2 + 34*f**2*n**2 - 262*f*n**3*v**3 - f*n**2*v**3 + 3*f*n**2*v**2 + f*v + 5*n**2*v - 142*v**3 wrt n?\nAnswer: 27084*f**2*v**2 - 1572*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 2*v - 2*v)*(0*v - 2*v**2 + 0*v)*(3*v - 3*v - 3*v).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/6*(-2200)\/(-12100)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 - 2 = 0. Let z be 2\/9 + (-38)\/9. Suppose 3*o - 9 = -3*i, -i - o = 2*i - 7. Which is the second biggest value? (a) i (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p. Let z be f(2). Suppose -k = -z*k + 43. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2406 (base 14) to base 11\nAnswer: 4798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1000)\/4000 - 1*3\/4. Suppose 6*t = -11 - 13. Sort 5, r, t.\nAnswer: t, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfzzgxcxxx. What is prob of picking 1 f and 3 x?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.13. Let u = 88 + -79.8. Let o = u - 8.2. Which is the biggest value? (a) m (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1065 and 108275?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61665.022 rounded to the nearest 100?\nAnswer: 61700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10158101?\nAnswer: 233, 43597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1952 + -a03?\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let l(m) be the third derivative of m**5\/60 + 15*m**2. Give o(l(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1*1 - -1. Suppose -d - 4*k + 14 = 0, -g*d - 1 = -4*k + 7. Suppose 5*u - 16 = -c, -u + 3 = d*c - 2. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*h - 5*h + 3912, h = -3*b + 2346. Is 29 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -113*n + 4551. What is p(47)?\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - d + 164, -5*z - 5*d = -3*z - 164. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4189 - -6431. List the prime factors of s.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47455344 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -11043?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -0.5, 4, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 3*f - 5*f + 2*f + 0*f - f + (2*f + 0*f - f)*(1 - 5 + 2) + 2*f + 3*f - 4*f + (4*f + 0*f - 2*f)*(-3 + 5 - 8) as o + k*f and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 281780, 563560, 845326, 1127072, 1408792, 1690480?\n\"Answer: -q**3 - q**2 + 281790*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 871 - 2*p**2 + 7*p - 8*p**2.\nAnswer: -10*p**2 + 8*p - 871","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*u - 17252185 = -1180855. List the prime factors of u.\nAnswer: 2, 3, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/(-10)*(-6)\/(288\/373800)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = -37*d - 525. Suppose -k - o = -108, 4*k + 4*o - o = 429. What is the greatest common factor of k and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 11*a**2 + 27*a - 4. Let o be g(-13). Let v(b) = 3*b + 76. Calculate the least common multiple of 40 and v(o).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 13 - 2. Let s(z) = 2*z + 10. Let q be s(-5). Suppose 2*h + 4*p + 20 = q, h = -0*h - p - 5. Put -2, -3, n, h in descending order.\nAnswer: n, h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nkkkknkknkkk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(1 + (-17)\/14). Let d = y - 14. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 4:23 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 - 12*r - 9. Let w be j(-4). Calculate the highest common divisor of w and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**2 + 22*v - 11. Let k(b) = -5*b**2 - 11*b + 6. Let o(m) = 5*k(m) + 3*y(m). Let d(x) = 4*x**2 + 10*x - 2. Calculate -3*d(p) + 2*o(p).\nAnswer: -2*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3150 (base 9) to base 12.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -108, -244, -388, -546, -724, -928?\n\"Answer: -y**3 + 2*y**2 - 135*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3550\/7 - 110044\/217. Let d = 7408\/1085 - x. Let s = -1370\/7 + 196. Calculate the common denominator of s and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*o - 3*o**3 + 11087277 - 11087277 as h*o**2 + u*o + f + j*o**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -157983? (a) -0.2 (b) 4 (c) 2 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4\/3149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229 and 103768831?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -62*v + 9298. Calculate the least common multiple of 300 and f(149).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d**3 + 10*d**2 - 6*d - 12. Let n(u) = u**3 - u**2 + u + 1. Let p(q) = -g(q) - 10*n(q). Let x(b) = b**3 - 5*b + 3. Give 3*p(k) - 2*x(k).\nAnswer: 4*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86208794 * 0.2.\nAnswer: 17241758.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 675355 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4723171 to the power of 1\/2, to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176027 is divided by 44003?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*o + 107*o + 2*o - 64*o + 84*o in the form f + g*o and give g.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 103*l + 964. What is h(-9)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132506.\nAnswer: 2, 11, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 6 - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 4, c: 1, r: 6}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12887193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -97. Let c(g) = g**3 - 9*g**2 - 15*g + 15. Let d be c(s). Which is smaller: d or -33?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 11) to base 15\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.125 * 744884.\nAnswer: -93110.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((12111\/(-90))\/(-11) + 5\/30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 less than or equal to -331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 3*s + 30*a, -16*s - 12*a - 31 = -12*s - 13*a for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b - b)*(-3 + 3 + 1) - 1 - 52*b + 98*b - 73*b.\nAnswer: -29*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*l - 13 + 6 = 0, -23 = -5*w + 2*l. Let s(t) = -t + 9. Let f be s(4). Suppose 4*n = -f*i + 183 + 58, 0 = 3*i - w. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-25)*h**(-31))\/(h**(-43)*h**40) assuming h is positive.\nAnswer: h**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 88161937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495537 is divided by 247768.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.888 - 0.212. Let b = r + 14.1543. What is b rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-6)\/(-4) - 3). Suppose k*i - 8 = 4*i. What is the tens digit of (-2)\/i + 123\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - 29) - (52 - 68).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3734241 is divided by 186712.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1949836066.\nAnswer: 2, 157, 6209669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2372 + 2378. Let x(k) be the third derivative of 19*k**2 + 0 + 0*k**3 + 13\/60*k**z + 0*k**5 + 3\/4*k**4 + 0*k. Find the second derivative of x(u) wrt u.\nAnswer: 156*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450021270 by 114.\nAnswer: 3947555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3581\/(-1))\/((-21)\/(-35)*4\/(-24)). What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 20. Let o(d) = -1. Let m(g) = -4*o(g) + p(g). What is the remainder when 188 is divided by m(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(2 + sqrt(605)) + 2.\nAnswer: 14 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 4*n - n**2)*(-n**2 + 3*n**2 - 4*n**2) - 6*n**4 + 3*n**4 + 2*n**4 - n**4 - n**2 + n**2 + 8 - 8 - 2*n**4 + (-1 - n**2 + 1)*(2*n**2 - 2 + 2).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336508 divided by -2.\nAnswer: -168254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6038.879 to the nearest 10.\nAnswer: -6040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7508003849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1988*j**2 + 8*j - 9. Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -860\/201 or -4?\nAnswer: -860\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4 - -18) + -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 125\/423 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/391, 0, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1126*m**3 - 674*m**3 + 525*m**3 + 522*m**3.\nAnswer: 1499*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let b(r) be the third derivative of r**5\/60 + r**4\/4 - 420*r**2. Calculate m(b(h)).\nAnswer: -h**4 - 12*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r + g, r + 3*g = -0*g + 12. Solve r*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 5) + (-104 - -110). Let z(s) = -3*s + 341*s**2 + 341*s**q - 672*s**2. Let n(l) = -l. What is n(z(x))?\nAnswer: -10*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/77 and -48\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*d - 2117, -697 = -z + 84*d - 89*d. What is the greatest common factor of 909 and z?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*w - 9*w. Which is the closest to 2? (a) w (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(2\/11))*f)\/(f\/((f\/((f**(-3\/7)*f)\/f))\/f)))\/((f*f\/f**(2\/15))\/((f*f\/f**3)\/f*f)) assuming f is positive.\nAnswer: f**(-3026\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2042 + 2483. Let b be (-2 - 15\/(-6))*-396. Let z = b + u. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(3 - 4)*-1. Let p be ((-9)\/(-3))\/(g\/(-6)). Find the third derivative of 2*q**5 + 7*q**p + 4*q**5 - 4*q**5 wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -527633 - -527636. Let 18\/13*a**h - 50\/13*a + 0 + 30\/13*a**2 + 2\/13*a**4 = 0. Calculate a.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.026 - -29.026. Which is the second biggest value? (a) k (b) -38 (c) -1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1540*s + 12 - 2*s**2 - 12 + 1540*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4550168\/5265 - 11238\/13. What is the common denominator of 19\/405 and i?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v, -y + 5*y = -v + 24. Let p = y - -40. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/3)*(c*c\/(c*c**(1\/11)*c*c))\/c)\/(c**6)**(2\/23) assuming c is positive.\nAnswer: c**(-3754\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 3758040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 340*t**2 + 148942*t + 9643. Calculate k(-438).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cno when three letters picked without replacement from {h: 3, c: 1, o: 6, n: 3, f: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 4*g - 3*g + g in the form a*g + i and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 94 = 22*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1615103715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/228 and -71\/2172.\nAnswer: 41268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6*f + 2*x = -13, f - 17 = 4*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0 + 0*h**3 - 5\/24*h**4 + 3*h**2 + 0*h**5 + 0*h + 1\/40*h**6. What is the second derivative of w(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-26\/3)\/k*(k\/k**8)\/k assuming k is positive.\nAnswer: k**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 748*g + 12 = -744*g, 4*k - 2*g - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 428, -122, -61 in descending order.\nAnswer: 428, -61, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j - 2*j + 1 + 7*j. Let p be d(8). Let a = -3 - p. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.048962l?\nAnswer: 9048.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g - 4*g)*(0 + 2*g + 0) - g**2 - 2 + 2 + 0*g**2 - 4*g**2 + 2*g**2 + (1 - 2 - 1)*(-6*g**2 + 0*g**2 + 4*g**2) + 157 - 157 + 29*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - 4)\/(-1*3\/9). Let h be 2010\/z*(-426)\/(-4). Suppose 4*n - 5*f = h, -2*f = 3*n + 2*n - 5971. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*i = -6*i - 27, -6 = n + 3*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1\/(-3)*0. Let j = -3108 + 3106. What is the nearest to j in 2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/13)\/f)**(-2\/99))**(11\/2)*f**0*f**8*(f\/(f\/f**(-1)))**(-1\/15) assuming f is positive.\nAnswer: f**(1598\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -20902 and -20977 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 + 8532*w + 34151. Determine i(-4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*d + 20 = 6*j - 137*d, 2*j + 4*d = 8*d + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t + 3*x, 4*x - 12 = 2*t + 3*x. Let p(z) = z + 18. Let r(q) = -q - 1. Let j(i) = p(i) + 5*r(i). What is the tens digit of j(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -9 - 1. Let u(k) be the first derivative of -3 + 4\/15*k**3 - 2\/5*k + 1\/15*k**6 + 1\/5*k**2 - 1\/5*k**4 - 2\/25*k**w. Determine g so that u(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/5)\/(q*q**(1\/17))*(q**(1\/5))**(2\/93) assuming q is positive.\nAnswer: q**(-11498\/7905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59830 is divided by 285.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 18*t**2 - t + 16. Give x(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 7 + 2. Let t be 5 - 0\/(0 + r). Suppose -3*x - 5*m = -7, t*x = 4*x - 2*m + 2. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400165.\nAnswer: 5, 163, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 2277660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2412\/(-240)*5)\/(2\/(-88))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23184.17 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 0.077, 0.1, -172.289, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 2*n**2 + n + 8. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53262 divided by -17754?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 12. Let d(s) = s - 6. Give d(m(i)).\nAnswer: -2*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**37\/(r**(-2\/9))**(1\/5) assuming r is positive.\nAnswer: r**(-1663\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 15*d**2 + 17*d - 9. What is the units digit of v(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -286a?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**2 - 11*i - 1. Let x = 9 - 17. Let t(z) = -26*z**2 - 34*z - 4. Let d(u) = x*n(u) + 3*t(u). Factor d(s).\nAnswer: -2*(s + 2)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-4)\/16*-4. Solve 3*a - 4*f - f - 5 = 0, 5*a + 3*f + w = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -27. Which is the closest to y? (a) 1 (b) 1\/4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 + 23 = 2*q. Let l = q - 56. Suppose 0*k = 5*k - l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 491 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 135?\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-7))\/(((-396)\/(-126))\/11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/21 - (-1)\/(-3). Let t be 6\/3 + (-3)\/i. Factor -2*l**2 - 2*l**4 - 2*l**3 + 4*l**4 + 0*l**5 - 3*l**t + 5*l**5.\nAnswer: 2*l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -300?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 45*o + 660. List the prime factors of p(10).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1527*t**6 + 2412*t**2 wrt t?\nAnswer: -183240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 65. Let p = 63 - d. Solve -2*s - 12 = 5*n, p = -5*n + 2*n + s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 106 + 4. Let y be 2\/(-3)*-2*258\/(-32). Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -1\/2, 0.43, 23912?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -37*p + 179. Let l(i) = -38*i + 216. Calculate 5*l(n) - 6*m(n).\nAnswer: 32*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*g**2 - 2*g - 7*g**4 + 1 - 74*g**2 + 36*g**2 to the form p*g**4 + x*g**2 + q*g + m + y*g**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 39. Let v be i(41). Differentiate -14936*a**v + 74 + 58*a**3 + 14936*a**2 with respect to a.\nAnswer: 174*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 132\/10*(-2)\/(-6) and 982\/(-40) - (343 - 362)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(-1)*45\/1674*31.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 divided by 8?\nAnswer: -449\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3839, 7690, 11541, 15392?\n\"Answer: 3851*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m + 46. Let d(p) = -9*p + 48. Let r(q) = -5*d(q) + 6*u(q). What is the derivative of r(v) wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 29 = -11. Let a(k) = 7*k**2 + 64*k - 3. Is a(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - s**2 + 7 + 2*s**2 + s**2 - s**2 + (-2*s**2 + 5 - 5)*(1 + 3 - 1) + 53*s**2 + 5*s**2 + 26*s**2 - 2 - 3*s**2 + 2 to p*s**2 + d*s + x and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13916?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (82 - 2)*8\/10. Let f(r) = -3*r**2 - 4*r - 30. Let q be f(-4). Let z = q + d. Solve 6*c - z*c - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/29058536 and 41\/94440242.\nAnswer: 377760968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2 + 2. Suppose -g = 2*b - 18. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 1 = -3*k, -3*s - 6 = -3*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101110001001100010 - -1011001011?\nAnswer: -11101101111110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 291983728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 12*z - 4. Let a be b(-7). Let i = 10 - 52. Let p = a + i. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*d - 5*d + 259, 2*f - 5*d - 92 = 0. Calculate the remainder when 200 is divided by f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 2, o: 1, m: 3, v: 3, j: 1}. Give prob of sequence vmy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.72 and -82.429?\nAnswer: -59.34888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*q + 38, 4*n + 2*q - 51 = -n. Suppose 4*c = 85 + 315. Let d = -56 + c. What is the greatest common divisor of d and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a4 (base 15) to base 7.\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1459824226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065032160 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2135693 and 21301?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 7*t - 112 + 10*t.\nAnswer: t - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -114. Let t(d) = 134*d - f*d - 65*d + 7. Give t(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*i**2 + 396*i**2 - i + 11 - 55 to the form d + j*i + c*i**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 2*n - 3*n**2 - 2*n**4 - n**3 - 1 - 2*n - n to w*n + v + o*n**2 + b*n**3 + k*n**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 15, s: 3}. What is prob of picking 1 s and 1 l?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**3 + 5*d**2\/2 - 5*d + 6. Let v(f) be the first derivative of x(f). Find the first derivative of v(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 3.863 (c) -2\/31 (d) 0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 13*p**3\/6 - 3*p**2 + 12*p. What is the tens digit of d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2037222 = -5*y - 287222. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**21*j*j*j*j*j**(-38)*(j\/j**(-40)*j)\/(j*j**27) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9681 in 3, -0.4, 1\/4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 26*t = -92*t + 348, -2*b + 194*t - 189*t - 18 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0105412609 to 6 dps.\nAnswer: -0.010541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*10 - -2. Let r be (3 + k)*(1 - 0). Suppose r*o - 30 = -5*o. What is the greatest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1433 - -1496. Suppose 0 = -4*b + 9*b - 45. What is the greatest common factor of p and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*x**2 + 157736*x + 15877120.\nAnswer: -4*(x - 4480)*(9*x + 886)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 463127*s\/2 - 214486618129\/4.\nAnswer: -(s - 463127)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -76. Suppose d*q = 4, f - 9 = -4*q + 13. Calculate the greatest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*i + 109, 2*i - 4*i + 85 = 3*v. Suppose -3*a + 22 = v. Let q = -143\/3 + 48. Sort a, q, 0.1 in ascending order.\nAnswer: a, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) - 238\/(-6). Let k be ((-18)\/15)\/((-3)\/w). Solve -4*t - a + k = -3*a, 0 = a - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1\/8, 0.31, -4, 0.4, 373 in ascending order.\nAnswer: -4, -1\/8, 0.31, 0.4, 18, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(45\/(-4) - -11) - 3. Put -1, 27, 35, d in ascending order.\nAnswer: d, -1, 27, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let x be (-9)\/(-2)*2\/3. Let y(z) = -2*z**2 + 3*z**2 - 5*z**2 + x*z**2. Determine b(y(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m + 5. Suppose -m*c + 8 = -c. Calculate the highest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -34*d**3\/3 + 1. Let y(v) = 2*v. What is s(y(u))?\nAnswer: -136*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 8073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l + 8 = -39*l. Solve 0 = l*i - 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8680 and 134050.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 + 11 = -5*u. Let q = u + 51. Find the second derivative of -16*o - 27*o**q - o**5 + 14*o**5 wrt o.\nAnswer: -280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 32. Let a = g - 21. Let s = -0.34 - 0.06. What is the smallest value in s, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62115 and 22.8.\nAnswer: 62137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)*2)\/sqrt(7) - (sqrt(2) + sqrt(2) + -1 + 0)) + (-5*(sqrt(24) + -4*sqrt(24)))\/sqrt(12) + 0)**2.\nAnswer: 30*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 49. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 5*g + 4*g)*(-2 + 2 + 7)*(-11*g**2 - 11*g**2 + 8*g**2 + 3).\nAnswer: 98*g**3 - 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*g**3 - 3\/7*g**4 - 3\/7*g**2 - 48\/7 - 72\/7*g.\nAnswer: -3*(g - 4)**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056675497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 0 + 19\/2*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0 = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfo when three letters picked without replacement from jsogsfgejeseegosss?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137920053 rounded to 4 dps?\nAnswer: -0.1379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (3086 + -4 + 3). Let c be 2\/4 - (-9272)\/3. Let d = c + u. Calculate the common denominator of d and -29\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16985311 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6)*48\/(-16). Let q = 10 + -14. Let r be 1\/q - 122\/(-8). Solve -p*x - x = -r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50005485 and 9.\nAnswer: 50005485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82651722732570 - 82651722732570 + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1241366, -2482628, -3723890, -4965152?\n\"Answer: -1241262*o - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.041 - 3.959. Let n = 4 + -4.08. Which is the closest to 1? (a) n (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*40\/((-1240)\/31).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-22)\/u*u**(-22) assuming u is positive.\nAnswer: u**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*v + 2*r, -5748 = -3*v + 4*r - 5708. Suppose 1 = -b + 11. Calculate the remainder when v is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -50. Solve r*t + 3*y - 5*y = 13, 4*t - 21 = -y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1b65d (base 14) in base 3?\nAnswer: -101020210101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 18*b + 38. Let a be 87 + 1 + (7 - b). Let t = a + -70. Solve -3*v - t = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 19. Let a be p(-17). Let h = 1.1 + -0.1. Let s = 2 - h. What is the closest to s in -1, -4\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 59*s**3 - 237*s**2 + 4 + 234*s**2 - s + 2. Let o be l(-2). Let y = -224 - o. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1618)\/(-6472)*4\/2*134.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(464\/(-29))\/(224\/144).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -23*u**7\/1260 + 7*u**6\/120 + u**5\/30 - 125*u**4\/12 + 81*u. Let p(m) be the third derivative of t(m). Solve p(r) = 0.\nAnswer: -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 2*i**2 + 122*i - 2478. Let z(s) = s. What is z(b(l))?\nAnswer: 4*l + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8903 or 8925?\nAnswer: 8925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -400*i - 25. Let q(k) = -50*k - 3. Calculate -25*q(u) + 3*z(u).\nAnswer: 50*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 15) in base 3?\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 134*i**3\/3 - 3*i**2 - 13*i - 54. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/2182950 and 53\/3373650.\nAnswer: 37110150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000189201 to 6 decimal places.\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2, -1.3, -2\/13, 3, 75 in decreasing order.\nAnswer: 75, 3, -2\/13, -1.3, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161.50413443166 - -161.528024. Let j = c - 23.02389029834. Let b = 23 + j. What is b rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dggdgag. What is prob of picking 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4956 - 2528. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2 + 13*y + 2. Let d(z) = z - 6. Let p(j) = 13*d(j) + 6*h(j). Let k(l) = l**2. Determine p(k(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*f - 3*w + 23, -f - 4*w = -16. Suppose -328 = -4*k - 2*j, f*k - 412 = -k - 2*j. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3300a - 1521?\nAnswer: 318c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 4, -3, -1 in descending order.\nAnswer: 4, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*l + 3, -2*l - w + 6*w + 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*o + 30. What is the least common multiple of o and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f + 2*f - 2*f + (1 - 1 - f)*(-1 - 1 + 0) - f + 0*f - 7*f + 2*f + 0*f - 1 - 5*f.\nAnswer: -15*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/637*-7)\/2.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = -2*z + 6, 3*z + 15 = 0. Let l be 1\/(1\/8) + o. Find the third derivative of -4*b**l + 5*b**2 + 3*b**3 - 4*b**2 - 3*b**3 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 149*l**2 + 87*l**2 + 98*l**2 - 479*l**2. Let j(b) = 5*b. Calculate t(j(n)).\nAnswer: -3625*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168176 and 368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 2*q - 8*q + 45*f = -16*q - 3*q, -3*q - 2*f - 54 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20944)\/(-6188))\/((-22)\/429)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0101 + 0.0237. What is d rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -411 + 489?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -46.047. Let a = -3.399 - -6.446. Let q = a + t. Sort -0.4, 1\/5, q in ascending order.\nAnswer: -0.4, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:37 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 39*s**3 + 11*s**2 - 102. Let d(p) = 20*p**3 + 5*p**2 - 50. Let v(y) = -7*d(y) + 3*k(y). Differentiate v(m) with respect to m.\nAnswer: -69*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -90*g**2 - 5880*g + 3745. What is q(-66)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538531599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k - 106*k = 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*h**4 + 188*h**4 - 106*h**4 + (-h**2 + 2*h - 2*h)*(h**2 - 4*h**2 + 4*h**2) to the form t*h**4 + k*h + b + j*h**2 + o*h**3 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let g = 1 - 1. Let v(b) = 2 + 0 + g*b + 0 + 7*b. Give -6*q(a) + v(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 99\/(-15)*(-25)\/90. Which is the closest to 1? (a) 1\/3 (b) y (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1232\/(-64) + 17 + 3. What is u in 15\/4*u + c*u**2 + 3 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 6 + 12*i - 7 in the form u + j*i and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3890, -3888, -3886, -3884?\nAnswer: -3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2 + 3*g + 3. Let n(s) = -5*s**2 + 4*s + 4. Let q(u) = 3*n(u) - 4*w(u). Let v(j) = 3*j - 1. Determine q(v(y)).\nAnswer: 9*y**2 - 6*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 1, -92821, 6.\nAnswer: -92821, 1, 6, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -371 - 247. Let k be ((-6)\/4)\/(3\/o). Let c = k - 157. Calculate the greatest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -189 + -2542977?\nAnswer: -2543166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-5)\/6)\/(4\/(-12)))\/2. Let f be (-22)\/(-11) + (-16)\/4. Which is the nearest to f? (a) 2\/23 (b) h (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.3. Let o be (-3 - -3) + (-1 - -1). Suppose o = -h + 2 - 7. Put -0.1, g, h in descending order.\nAnswer: -0.1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256498.\nAnswer: 2, 11, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 10*q + 20 = 0. Suppose 12 = q*j - 0*j. Suppose -4*l = -3*l - j. Calculate the least common multiple of 35 and l.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48500286 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, 1 y, and 1 a when four letters picked without replacement from {p: 2, w: 2, y: 5, i: 2, a: 1, f: 5}?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (16 - 8) + 6 + -1 + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*i**4*k - 98290*i**3*k**3 + 16*i**2*k + 266*i**2 + 4*k**3 - 21*k**2 wrt i?\nAnswer: 384*i*k - 589740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(54)*-1 + 0)*2.\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16162 divided by -399.\nAnswer: 16162\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d. Let u(i) = 275984*i. What is q(u(t))?\nAnswer: 5519680*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, e: 2, b: 4}. What is prob of picking 1 s and 2 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/4)\/(1\/(-32)). Find the common denominator of (-1)\/3 + (-115)\/o and -37\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 12*q - 2 = 0, k + 4*k - 5*q - 512 = -507 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/4, 137, 571, -2 in increasing order.\nAnswer: -2, 25\/4, 137, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -23722 + k**2 + 8*k + 23724 - k. Let a(m) = -m**3 - 2*m**2 + 3*m + 2. Let l be a(-2). Let s be (-10)\/4*l\/(-2). Give j(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 1)*(5*n**3 - 5*n**3 + n**3) + 5*n**3 - 2*n**3 + 6*n**3 + (-2 + 2 - 1)*(-3*n**3 + 0 + 0) + 4*n**3 - n**3 - 5*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5103\/18616 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.19, 1658, -9?\nAnswer: 1658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24350, 48620, 72892, 97166, 121442, 145720, 170000?\n\"Answer: o**2 + 24267*o + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*(sqrt(85) + sqrt(85)*1) - sqrt(85) - sqrt(85))*-1)\/((sqrt(30) - 2*sqrt(1470))\/(sqrt(72)\/(sqrt(12) - sqrt(48)))).\nAnswer: 72*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 3*c + 87 = 15*u, 0 = -5*u + 2*c + 127. Put -10, 4, u in increasing order.\nAnswer: -10, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2*m**3 - c**2 + 4*c*m**2 + 51*m**3 + 1 wrt c?\nAnswer: 6*c*m**3 - 2*c + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjzew. Give prob of picking 1 z and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.104780559 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030533 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from zzzzclfllzl?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*x + 677, w - 17*x + 207 = -20*x. Let r = w + 264. Calculate the smallest common multiple of 35 and r.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -2 - -6 - -8 - (-89 + -19 - -7)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1038556.\nAnswer: -1\/259639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12146, 12145, 12144, 12143, 12142?\nAnswer: 12141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {r: 9, b: 1, a: 7, s: 2, f: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 23*b - 55*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 - 2*n + 2. Suppose 0 = 4*x + 2*x - 6. Let a be j(x). Suppose 2*y + 4*h = h + 20, -4*y + a*h = 4. Solve -l = y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/((-870)\/(-25)))\/((5\/6)\/(4\/136))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798*f + 61 = -808*f - 1009. Is f > -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 7*v - 6. Let b = -72 + 74. Suppose -b*y = 2*y - 20. Suppose -2*d + 18 + 17 = -5*f, 2*d = -f + y. Determine t(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6057, 12267, 18477, 24687, 30897, 37107?\nAnswer: 43317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 4*v + 3*v**2 + 4*v**2 + 3*v to f*v + c*v**2 + q and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7217 + 35 = 49*a. Let r(n) = 113*n**2 + 3*n - 4. Let q be r(3). Suppose -9*j = -a - q. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8600341 is divided by 1177.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 13. Let u be i(-6). Let k(t) = t**2 + 3*t + 7. Let x be k(u). Let d = -90 + 141. What is the greatest common factor of d and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 81*f**2\/4 + 1599*f\/4 - 1681\/4.\nAnswer: (f - 1)*(f + 41)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -141, -200, -261, -324?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bc0 - -408?\nAnswer: 41c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1200205*u**5 + 3*u**2 - 26749382*u?\nAnswer: -24004100*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*t - 35*t + 14*t - 700 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 12:55 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*-19.989\nAnswer: -19.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-18 - (-11 - -3) - (-97 + 5 + -5))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:35 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n**4 + 19\/120*n**6 + 0 + 0*n**5 + 2*n**2 + 0*n**3 + 0*n. What is the tens digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538 divided by 10.\nAnswer: 269\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/3 + 423656*v\/3 + 22435550792\/3 = 0. Calculate v.\nAnswer: -105914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 - 100. Suppose v*w + 4*g - 5*g - 1 = 0, 0 = 2*w + g + 1. Solve -p - 3 = -w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {u: 1, h: 1, p: 1, w: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.5985516 and -20.\nAnswer: 91.971032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 0*o**2 - 55*o**2 + 1 - 16*o**2.\nAnswer: -73*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 14*k**2 + 56*k - 415. What is o(15)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -2\/9, 4, 3565, 0.02, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, -0.6, -4, -7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5031735 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4829524?\nAnswer: 2, 7, 137, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 3*x + 17. Give h(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 3*v. Let f be 4*((-5)\/(-2) - v). Differentiate -z**f + 4 - 1 - 1 with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 40*a - 26 - 64 = -f - 115, f - 24*a = -289 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -1\/4, 3, 2, 0.3, -0.1517?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r - 12*r - 11*r - 15*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {a: 2, d: 1, t: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.056 + 1.2. Let m = 10.844 - d. Let o = m - 4.4. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5308.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (0 + 2) - 1. Let u(m) = -8*m**2 + 90*m - 14. Let g be u(11). Suppose g*y - 14 = 15*y. Is o at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -676 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 254. What is the remainder when 958 is divided by s(18)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/90*-3)\/((-16)\/160)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87.2+-2313\nAnswer: -2400.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -579, -2301, -5167, -9177, -14331?\n\"Answer: -572*d**2 - 6*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7011?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w. Let t(d) = -d. Let b(u) = 3*u. Let r(y) = b(y) + 2*t(y). Suppose -10*l - 135 = -5*l. Let v = l + 26. Determine v*f(q) - 8*r(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25049574 is divided by 4932?\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2 + 0) + (-16)\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -18, 95, 1\/3, 25, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*c - 109 + 109)*(3*c - 7*c - 4*c) - c**2 - c**2 + 3*c**2.\nAnswer: 113*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0727080214 + -0.07271. What is d rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 + 21*a**2 - 73*a**2 + 16*a**2 + 13*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1452 + 21?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-319007)\/12038*(-2)\/(-4)*-1*4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 259 = 21*y. Suppose 0 = -z + 3*x + y, 4*z - 2*x - 1645 = -649. Calculate the highest common factor of 26 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13899\/13 - -1069. Which is the nearest to 33? (a) n (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v + 4. Give o(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 1\/120*m**5 + 0 - 15*m**2 + 0*m + 0*m**3 + 1\/720*m**6 + 1\/72*m**4. Factor f(n).\nAnswer: n*(n + 1)*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 4*s - b, 23*s + 396 = 27*s + 5*b. What is the greatest common divisor of 75 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n**5 + 19*n**4 + 76*n**3 + 20*n**2 = 0.\nAnswer: -2, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415389*x**2 + 830801*x**2 - 415401*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/16 and -137\/7436490.\nAnswer: 59491920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 at least 3\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98360 = k - 505840. Round k to the nearest 10000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224482 is divided by 3264?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-22)*1*-1. Let j = -1.1581 - -1.5581. Which is the nearest to 1? (a) w (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42\/5 of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 575 + 5*o**3 - 576 + 441*o**4 - 4*o**3 + 22*o**2 - 22*o**2 in the form t*o**3 + i*o**2 + y*o**4 + n*o + q and give y.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*x + 20, 0 = -2*x - a + 7 - 3. Let w(i) = 2 + x - 2 + 4*i. Let v(u) = 2*u. Give w(v(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30000 = 2*g + r, -3*r + 60000 = g + 3*g. What is g rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*a + 1436 = 0, 3*r + 2*r - 7204 = -4*a. Suppose -z + 350 = -3*n - n, 4*z + 4*n - r = 0. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4936.6, -2\/31, 3\/2 in decreasing order.\nAnswer: 4936.6, 3\/2, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 103*f - 100*f. Suppose -31*u - 8 = -f*u. Determine d, given that -d**3 + 5*d**5 + d**2 - d**4 - u*d**5 + 0*d**5 + 0*d**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 2*d + 64*d**2 - 5 + 29*d**2 + 0*d - 78*d**2 in the form g*d + j + b*d**3 + h*d**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -850\/9 greater than -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 29628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4370309921 plus -0.064?\nAnswer: -4370309921.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 - 58) + -1 + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0 + 13*x**2 - 3*x + 0*x**4 + 1\/30*x**5 + 15\/2*x**3. Let m(k) = 4*k. Determine m(v(o)).\nAnswer: 8*o**2 + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**5 + 60*r**4 + 549*r**3 - 5982*r**2 - 7296*r + 12672 = 0.\nAnswer: -11, -2, 1, 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -1. What is the greatest common factor of 48 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -254 - -262. Solve 12 + w = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9746204.\nAnswer: 2, 13, 23, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -111342 (base 6) in base 13?\nAnswer: -439a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2)\/s*s)*s**8\/s)**(39\/7)*(((s\/(s\/s**(1\/7))*s)\/s)\/s**3)**(-30) assuming s is positive.\nAnswer: s**(990\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 128, 0.8, 3, -7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*w - 357, 2*r - 91 = 3*w + 147. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 483*m**3 - 53*m**2 + 2*m?\nAnswer: 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 2*m)*(-51*m**2 + 101446 + m - 101446).\nAnswer: 51*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*g - 72, -a + 2*g = 5429. Put 0, 1\/3, a in decreasing order.\nAnswer: 1\/3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b**2 + 2*b + 2. Calculate f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, 16, 1\/65, 0.3, -0.4, 9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62783 = 1775*g - 4773 - 67344 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372329.5 millilitres in litres?\nAnswer: 372.3295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 86, -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 1482 = 0. Suppose -k - 146 = -4*o. Suppose m - 5*m + o = 0. Calculate the remainder when m is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 10. Let q = 18 + -23. Let y(m) = m + 10. Let c(v) = q*d(v) + 4*y(v). Suppose -2*r = 5*s - 4*r + 19, 2*s + 3*r = -19. Calculate c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -2*f. Let c(d) = -f*d**2 + 2*d**3 - d**3 + 0*d**3. What is the units digit of c(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 159*i - 766. What is s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*y = -163*y - 5135 - 505 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 119 - 343. Let f = y - -36. What is the remainder when 11 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r - 2*r - 4*r + 13*r + 31*r**2 + r**3 to the form g + c*r + h*r**3 + p*r**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 0*q**3 - 3*q**5 + (-q**2 + 5*q - 5*q)*(-q + q + 2*q**3).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 16 = 8. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 89374158.\nAnswer: 89374158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 10) in base 3?\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 + 16\/4. Suppose -2*n - 5 = -d*j + 15, 2*n + 31 = 3*j. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432148.805 rounded to the nearest 100?\nAnswer: 432100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 - 87*k**3\/2 - 541*k**2 - 2226*k - 2628.\nAnswer: -(k + 2)*(k + 6)**2*(k + 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (12 - 2\/1). Let p = d + -15. Let s = 28 + p. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + 1986. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41343642 divided by -13781214.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 360 (c) -1\/12 (d) 0.5 (e) 2 (f) -0.07 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1)\/(2\/2). Suppose -3*c + 30 = -g*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 14*d - 3*d + 264 = 69 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5232249 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2. Let x(q) = -q**2 + 9*q + 2. Let g be x(9). Let u(r) = -r**3 + 2*r**2 + 3*r - 3. Let k be u(g). Let t(i) = k - 3 - i. What is t(f(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93\/4 - 23. Let i = 707 + -708. Which is the closest to i? (a) g (b) 4\/15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -72*z**2 + 11*z - 64. Let q be y(4). Which is greater: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1696 - 2*g**3 + 1696.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91999 is divided by 30572?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1616 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 207*m + 209. Give b(-3).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r - 1. Let t(j) = 7*j - 1. Let q = 1 + 56. Let w = q + -63. Give w*f(c) + 7*t(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxiqdqvvd. Give prob of picking 2 d.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -41.001 - 5\nAnswer: -46.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40 and 95\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + (-2 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 387005111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 + 2*p**5 + 205*p**3 + 65*p**2 - 2*p - 22.\nAnswer: -240*p**3 + 120*p**2 + 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 229184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3 - -5) + 20)*1. Suppose -3*r + 6*r - 15 = 0. Let g be (-1 + -4)*(4 - r). Solve 3*n - 3*i = -n - u, 5*n = -g*i - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 7*g - 14. Let s be t(-5). Let r(m) = m**2 + 1. Let l(d) = 4*d**2 + 12. What is s*l(j) - 12*r(j)?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 = -35. Suppose k = 2*m - 0. Suppose 3*g + m + 2 = 0. Is g at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353\/489 + -9\/163. Which is the second biggest value? (a) h (b) 102 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = -90. Let l = m + -27. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.19575 centimeters in nanometers?\nAnswer: 791957500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 14 = 2*i, 2*i - 12 = 6*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - -0.6651.\nAnswer: 0.5851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 21 + -27 - (1 - 62)) + -7 + 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (798\/7)\/3 + 1. Find the second derivative of w*h + 31*h**5 + 6*h**5 - 1 + 7*h**5 wrt h.\nAnswer: 880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.9476 and 4.\nAnswer: -131.7904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26964 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - 166. Calculate the remainder when (w\/(-8) + 0)*(-5 + 1) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345042\/5 greater than 269007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1216a?\nAnswer: -12165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/192*8 - -2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 8*a**2 + 8*a + 8. Let k be u(-7). Suppose -4*g - 5 = y, 102*g - 106*g = -2*y + 14. Let b = 13 + -9. Sort y, b, k, 0.\nAnswer: 0, k, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t - 31*t + 9*t - 19*t + 25*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*((5795*l - 2847*l - 2859*l - 2)*(0*l - l**2 + 0*l) + l**3 - 8*l**2 + 8*l**2).\nAnswer: -88*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*z - 40, -5*z - 2*x = -4*x - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101142 (base 8) in base 5?\nAnswer: -33424042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41301)\/(-2471) - (27\/(-21))\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 12*t + 24, 27*t - 14 = 4*x - 0*x + 30*t - 77 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 121 = -4*g, 4*g = -g + 25. Suppose -23*c + 185 = o. Solve -3*q = 5*s - c, 4*s + 8 = 4*q - 0*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/48*((-3)\/2)\/(2\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7831 at least 7831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 + 3*p + 5. Let m = 4 - -2. Is b(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28693957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*i + 51934 = 7306, 4*y - 2*i - 44640 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1545 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/75 less than 2\/1075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3 + 7*b**2 - 21*b**2 + 10*b**2 + 5*b**2 - 5*b. Let p = -40 + 46. What is r(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3425.35 and -5?\nAnswer: -17126.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 - 68*w**3 - 7*w - 26*w**3 + 7*w - 50*w**3.\nAnswer: -137*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/9 + 313*x\/9 + 314\/9 = 0.\nAnswer: -1, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -483 + 491 + 0 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 60. Let k be b(11). Solve 6*h = 2*h + k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69403 or 6176859\/89?\nAnswer: 6176859\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 2*k. Put k, 0, -18 in descending order.\nAnswer: k, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166835\/1579 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 22693\/1260?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 274 (c) 6 (d) 0.11 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 7. Let v be (-81)\/15 + (-6)\/10. Let x be u(v). Let d be (-18)\/(-5) + 2\/5. Solve d = -x*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 29*h**2 - 104*h - 71. Give b(-25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*6*(-185)\/74. Let k be (-80)\/g + (-5)\/15. Put k, 1.3, -2\/11, 1\/3 in decreasing order.\nAnswer: 1.3, k, 1\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27918.8224 rounded to zero decimal places?\nAnswer: 27919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15\/11 (b) -5\/4 (c) 0.1 (d) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -301*q + 4*q**2 + 17 + 301*q as p*q**2 + g + z*q and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424*b - 228*b = -111*b - 11763 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 8. Let x(m) = 8*m**2 + m - 1. List the prime factors of x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(-1 + (-28)\/(-20)). Find l such that 3*l - 6*l + 4*l**2 + 3*l**3 - 9*l**4 + 5*l**d = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1746570.6s to days.\nAnswer: 20.2149375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 22 - 20. Suppose -w*s + 0*s = 17000004. Let y be (48\/(-30))\/(1 + s\/8500000). What is y rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 - 94 = -3*m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 40 = -4*p, -2*v + v - 5 = p. Let f = v + 5. Is -5 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/19849 and 32\/9493.\nAnswer: 218339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35.58 * 2\nAnswer: -71.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 - 156*p + 705 = 0. Calculate p.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 11*l - 36. Let j(q) = 5*q**2 - 10*q - 36. Let f(k) = 6*j(k) - 5*v(k). Differentiate f(h) with respect to h.\nAnswer: 10*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 375. Let q = z - -492. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3)*(-3)\/25. Suppose z - 3*z = -4*o + 350, 0 = -2*o - 5*z + 145. Let d = o + -84. Which is greater: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*b - 16316 + 2185, -o = 3*b - 4693. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66211407.\nAnswer: 3, 7356823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6527.024 to the nearest 100.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 - ((32 - 12) + 37 - -15)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-26)\/52*(9*-55 + 3) is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*i = -4*i + 6, -q + 14 = 3*i. Let t = -0.874 - -4.874. Which is the nearest to q? (a) 3 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.4302 kilograms in milligrams?\nAnswer: 506430200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyss when four letters picked without replacement from {y: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from zzzzzzzwzzzzzzzwzwzz?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 2\/(22\/(-77)). Let l(p) be the second derivative of p**4\/12 - 7*p**3\/6 + 3*p**2 - p. Let t be l(f). Solve t = 3*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-231*f**2 - 44*f**2 - 23*f**2)*(2 - 2 + 1)*(-2 - 4 + 0) as v*f**2 + y*f + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19977062 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x. Calculate d(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-8) + -31*(-2)\/(-4). What is the nearest to 0.2 in 2\/9, 1\/3, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 1, c: 6, y: 8}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, l: 7}. Give prob of sequence ld.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 5 + -1 - 11) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 41 = -4*y, 16*y - 615*g - 622*g - 52 = 19*y - 1232*g for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 13*j - 6. What is the units digit of u(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j - 10 - 183 = 272 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 + 1421*f**3 + 8*f**2 - 3 - 55*f - 1460*f**3 - 497*f wrt f?\nAnswer: -234*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100110 (base 2) in base 7?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 12\/28) + (-12)\/4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - x**2 + ((3*x + 3*x - 3*x)*(-2 + 5 - 6) + 4*x + 2*x + 49*x)*(-2*x - 8*x + 4*x) as s*x**2 + y*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 >= 2792415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 78*f**2 - 539*f - 33. Give y(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1066*-0.001.\nAnswer: 0.0001066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x = -53*x + 15, 2*c = 4*x + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45992 is divided by 37607?\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339043181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 4*g**2 + 22*g - 34. Is 2 a factor of l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 22*y**2 - 22*y + 30. Is m(-23) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 289055040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utuuuuttuutttt. What is prob of picking 2 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -261275 bigger than -1306374\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 50\/3*o**3 + 5\/4*o**4 - 15 + 160*o + 80*o**2. Determine k, given that s(k) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 143631000?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15807 and 30.\nAnswer: 158070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*w**4 + 9*w**4 - 5*w**4 - w wrt w.\nAnswer: -168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*c + 152*c - 2 + 0 - 590*c + 155*c + 241*c.\nAnswer: 145*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 17 - -11) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25*c + 21*c = -19429, 0 = 3*q - 4*c - 19469. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*l + 156647, -3*j + 120*l = 105*l - 156507. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 114?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -791239584*i**3 + 60222*i**2 - 2116*i + 2.\nAnswer: -4747437504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*80\/2. Let p = 27 + m. What is the remainder when ((-15)\/10)\/3*-22 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 327 + 68 = 0. Let u = x + 200. Does u = -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8021457 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 2*b + 30. Calculate a(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2354986 and 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17)*2)**2 - (-2 + sqrt(153)) - (1 + (sqrt(17) + -1 + -5 - sqrt(17)))**2.\nAnswer: -3*sqrt(17) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 137*y**2. Let a(f) = 251*f**2. Calculate q(a(u)).\nAnswer: 8631137*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -21175*j**7\/6 - 9548*j**6\/3 - 4614*j**5\/5 - 248*j**4\/3 - 8*j**3\/3 + 2*j + 25. Factor d(q).\nAnswer: -q*(7*q + 2)**2*(55*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 1\/20*i**5 - 7\/120*i**6 + 0*i + 0*i**4 + 0 + 0*i**3 - 2*i**2. What is the third derivative of s(c) wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84633001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*1)\/(12\/(-8)). Let d = 2\/7 + -3\/35. Let u = 2.9 + -3. Which is the closest to u? (a) d (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -2) + 836\/(-133)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/10)\/(o**10*o))**(-2\/7)\/((o**(2\/27)\/o**(-1))\/(o**(1\/5)\/o*o**(-3\/4)*o)) assuming o is positive.\nAnswer: o**(1213\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*y - 17, 2*j = -j - 5*y - 22. Let q(k) = 2 + 4*k - j + 2 - k**2 + 0. Let x be q(3). Solve -6 = -3*a + x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**6\/40 + 3*c**5\/80 - c**4\/16 - c**3\/8 - 7*c - 2. Factor f(n).\nAnswer: 3*n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4136 - 4131. What is the second biggest value in 0, -8, 2\/95, -2, w?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 3796\nAnswer: -7\/3796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = p - 7 - 8, 1 = -p + 3*q. Suppose 11*n - p*n = 42. Suppose 10 = -x - 5*u, 3*x - n*x + 17 = u. Solve -5*s + 2 = 3*o + 17, -2*o = x*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*n - 16. Let l = 8 - n. Suppose 3*x - 123 = j + 2*j, 4*x - 172 = -l*j. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -19*s - 1\/2*s**3 + 0*s**2 + 0. Let u(b) = -3*b. Determine 5*o(h) - 6*u(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000070983736 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21072943 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*n*t**2 + 8*c*n - 657*c*t + 4*c - n*t**2 - n*t + n - 1289 wrt t?\nAnswer: -4*c*n*t - 657*c - 2*n*t - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13658578821 - 13658578686.99999446. Let d = -134 + i. Round d to 7 decimal places.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229\/5 - 46. Let j = -0.10339 - -21.10339. Which is the second biggest value? (a) j (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 3*d + 3853 = -19*z, 2*d = 3*z - 2311. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - b = 263, 45*b = -3*z + 50*b + 789. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 + -361 - (-2 + -2) - -76?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/28)\/(24\/56)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94663*-2.\nAnswer: -189326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z**2 - 9*z**2 + 12*z**2 - 3*z**2 + 2*z**2 + 2*z**2 + (-2*z - 2*z + 0*z)*(2 + z - 2) to n + t*z**2 + o*z and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 - 6*y**2. Let p(h) = -11*h**2 + 6*h + 6. Let o(q) = 31*q**2 - 17*q - 17. Let n(v) = 6*o(v) + 17*p(v). Determine a(j) - 6*n(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144510 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -470 (base 9) to base 5\nAnswer: -3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:13 PM?\nAnswer: 615","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-12)*1575\/375*-8.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 61 = -16*c - 4*t, t = -c + 11 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/(9\/54). Suppose -k*q = -8 - 12. Let t = -6 + q. What is the remainder when 15 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*c - 5 - 0, 0 = 5*c - 2*h - 7. Factor 3*l**2 + 33 + l**2 + c - 24*l.\nAnswer: 4*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 685\/7 (b) -2195\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31\/14 - -12\/7. Put 4, d, 0.4 in descending order.\nAnswer: 4, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/9*s**2 - 2\/3*s + 16\/9*s**4 + 4\/3*s**3 - 2\/3*s**5 + 0 = 0. What is s?\nAnswer: -1, -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - h + 6*h**3 + h**4 + h**2 + 3*h**3 - 13*h**3 + 0*h**2 in the form q*h**3 + j + y*h**4 + t*h + z*h**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -23 - (2 + 6)) + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o + 13. Let u(x) = -x**3 + 8*x**2 - 7*x + 3. Let b be u(o). Solve -b*g + 2 = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*x**3 + 4)*(2 - 2 - 2)*(-x - 1 + 1).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9))**(-32))**(16\/11)*y*y*(y\/(y*y**(-2\/9)\/y))\/y*y*y\/(((y*y\/y**(-1\/8))\/y)\/y)*(y**(-1\/2)\/y)**1 assuming y is positive.\nAnswer: y**(-2045\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3279*2.\nAnswer: -6558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -21. Let b be (22\/33)\/((-2)\/h). What is the second derivative of b*z**5 + 9 - 3*z - 9 wrt z?\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176 - -180 - (18 - 2)) + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - -11?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**2 + 12*t**2 - 25*t**2 - t - 23 - 6*t**3 to the form w*t**3 + r*t + u + a*t**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-80)\/6)\/(-5)*12. Suppose -4*p + 0*h = 4*h - l, 31 = 5*p + 2*h. Suppose -2*q - 3 + 11 = 0. Sort p, q, -5 in ascending order.\nAnswer: -5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 14.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*d + 293702, d + 1 + 0 = 0. Round q to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.7342928 rounded to 1 dp?\nAnswer: 58.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025162558 rounded to six decimal places?\nAnswer: -0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimimjimim. What is prob of sequence mimm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -33*q**2 + 3104*q - 41. Give y(94).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2800*y + 2783*y = -354076. Does 164 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.22 + 71.22. Let d = -69 + o. Let k = 1.97 - -0.03. Which is the closest to -2? (a) d (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 370 + -1?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 10*t + 16. Let c(i) = i - 2. What are the prime factors of c(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 98450861506032?\nAnswer: 98450861506031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*r - 3*k, -20*r - 5*k = -21*r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5105, -5051, -4947, -4769, -4493, -4095, -3551, -2837?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163353859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a4 (base 14) to base 9.\nAnswer: -1726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24031 less than -0.4657860652?\nAnswer: -24031.4657860652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -0.12 (c) 3 (d) -0.5 (e) 1265 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.469 times -3754\nAnswer: -1760.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 0.205?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 395, -48, 0, 3, -3 in descending order.\nAnswer: 395, 3, 0, -0.4, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 0*u**2 + 0*u**2)*(-u**3 + 0*u**3 - u**3) - u**2 + u**2 + 2*u**5 + u**3 + 5*u**5 - u**3 - 112*u**4 + 59*u**4 + 29*u**5 + 53*u**4.\nAnswer: 38*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o = 70*o + 41*o + 819 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2349 - 372*l - 2349)*(-5*l**3 + 3*l**3 + l**3) - 19*l**4 - 15*l**4 + 19*l**4 as c + b*l**2 + r*l**4 + f*l + h*l**3 and give r.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 1100 - 92. What is the first derivative of -m*p + 252*p - 99*p**3 - 14 + 33*p**3 wrt p?\nAnswer: -198*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -67*q**4\/4 - q**2\/2 - q + 1. Let s(i) = i**2 + 3*i + 1. Let f be s(-2). Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 44*k**2 - 39*k + 686. Determine o(45).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -69. Let s(v) be the second derivative of j*v**3 + 0*v**5 - 1\/10*v**6 + 0*v**4 - 2*v + 2*v**2 + 0. What is the derivative of s(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4.5. What is the closest to -0.2 in -4, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 19 = -2*m. Calculate the remainder when (-32)\/5*(-35)\/m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12)*6400\/(-400).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Suppose 2*v + 13 = 5*y - 254, -210 = -4*y - a*v. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 0*k**2 - 7*k**2)*((-3 - 4 + 6)*(2 - 4 + 4) + (-2 + 2 + 4)*(-4 + 8 + 8)) to b*k + g + q*k**2 and give q.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7 - 1. Suppose w*m = -r + 33, r + 0*r - 4*m - 5 = 0. Let i be ((-7)\/(r\/18))\/(-2). Solve 2*u - 5*b - 30 + i = 0, 5*b = -5*u - 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4 - 92*i**3 - 98*i**2 - 319089*i wrt i.\nAnswer: -24*i**2 - 552*i - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((4\/(-2))\/(-2))\/3)\/(9\/297)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -54, -81?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 28*m**2 - 2103. Let t(b) = 4*b**2. Give -r(x) - 7*t(x).\nAnswer: -x**3 + 2103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 313804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 200 and -0.1099.\nAnswer: 199.8901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -212*t + 21. Does 50 divide y(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/28960 and 119\/80.\nAnswer: 28960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Let m = -9.9 - -9.8. Which is the closest to m? (a) 2 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 7, c: 1}. Give prob of picking 1 l and 1 c.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11636133073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + s)*(0*s + 3*s - s) + 1 - 1 + s**2 - 2*s**2 + 3*s - 3*s - 6*s + 2*s**2 + 7 + 6*s.\nAnswer: 5*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * -182.\nAnswer: 47.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n**3 + 5*n - 5*n**2 + 4 + n**2 - 2*n**2. What is the units digit of m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3411408 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 2\/83 (c) 11 (d) -5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 54. Let a(t) = 4*t + 8. Let x be a(-2). Solve 0*u - h*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33a8653 (base 12) to base 13\nAnswer: 2097306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-312)\/143 - (4\/22)\/(-1). Let l be 3 + d\/(-2) - (-22 + 21). Suppose -f + l*y = 2*f - 1, -5*y + 13 = -f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 127084716*f + 254169448 = 0 for f.\nAnswer: -31771181, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -32*d + 1794. What is the second derivative of -78*w**2 + 51*w**2 + 217*w + 36*w**2 + d*w**2 wrt w?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23048673?\nAnswer: 3, 7682891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 66?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2666 + -4929?\nAnswer: -2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 1\/2 (b) -5 (c) -5\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -4) + -2 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:56 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3078*o + 15 = -3075*o. Solve o*q - 9*q + r + 1 = 0, -3 = 2*q + 3*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207585199 a multiple of 1068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16546 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**3\/2 + k**2 + 3*k. Let z be b(-2). Let o = 3 - 2. Sort z, -0.3, o.\nAnswer: z, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n + 15 = 0. Suppose n = 2*q + 1. Solve -y + q = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 19. Let r(i) = -i**3 + 5*i**2 - 3*i - 1. Let w be r(k). Suppose w*b + 94 - 988 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.442211 rounded to three decimal places?\nAnswer: -12.442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(245) + -1 - sqrt(245)) + 2)**2 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30848*z**3 - 4*z**2 + 2*z + 95.\nAnswer: -185088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2993 - 3697 + 874 = 0. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422735 (base 8) to base 7\nAnswer: 1124252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490136281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127294466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 62*l**2 + 226*l + 50. What is d(-5)?\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 5. Let o(l) = 2*l + 3. Calculate -5*o(w) + 3*y(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 641 = -3*y + 158, 3*t = -y + 301. What is the lowest common multiple of 11 and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, c: 1, p: 1, g: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/(l*l*l**(-4\/9)))\/l)\/l*l*l*(l*l**(-2\/23)\/l*l*l)\/l)\/(l**12\/(l\/l**24)) assuming l is positive.\nAnswer: l**(-6964\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 + 1230602*b - 6152960 = 0.\nAnswer: 5, 615296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, -7232\/35?\nAnswer: -7232\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427 + -227. Suppose 52 + q = 9*b. Suppose 2*l = 9*l - b. Solve 2*a = -0 - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:59 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((2 + 2*sqrt(468))**2 + sqrt(468) + sqrt(468) + 1 + 0) + -5)*-5.\nAnswer: -37490 - 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -115902, -115903, -115904, -115905, -115906?\n\"Answer: -o - 115901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.87 - 0.07. Let k = l + -1.8. Let z = 468.6 + -469. Which is the nearest to k? (a) 2\/11 (b) z (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 312\/3503 (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 11*a - 5. Let d = 9 + -3. Let g be (-315)\/36 + d\/8. Is 11 a factor of i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((8\/6)\/((-1608)\/(-134)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 + 1188*r**2 - 53521*r\/5 + 23796.\nAnswer: (r - 5)*(r - 4)*(r + 5949)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 35*u = 0. Let x be 4\/22 + (-795)\/(-165). Solve 4*y - 8 = x*n + 5, -3*y - 3*n - 24 = u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8648 - 5371. Suppose 4*q + 3177 = 3*l, -955 = -4*l + 4*q + w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20545 at least as big as -20550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 2. Let k be ((-4)\/2)\/(2\/(-3)). Suppose 5*q = -m - 3 + 31, 17 = -m + 4*q. Let h(j) = 16*j - m*j - 7*j - 8*j - 3. Calculate k*h(f) - 5*a(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10775 + -10664. Is 0.3 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 48 = -20*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/(-2)) - -44. Let u be (-149738)\/(-42) - (-28)\/q. Let m = -3572 + u. Find the common denominator of 12\/11 and m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -36. Let s be 3*5*(-44)\/b. Suppose 0 = 2*d + 5*k - 59, 4*d + k + k = s. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/24 + 4\/3. Suppose w*h - 3*h = 0. Solve h*j = 5*o - 2*j + 12, 0 = -3*o + 5*j - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112634 and 146?\nAnswer: 8222282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.434 and 10202.\nAnswer: 10201.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -203, -310, -429, -566?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - -2) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*p**3 + 83*p**3 + 34*p**3)*(-2 + 5 - 5) - 3*p**2 + 2*p**3 + 3*p**2 to the form i*p + t*p**2 + g*p**3 + w and give g.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196628 is divided by 98309.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -60, -135, -230, -339, -456?\n\"Answer: t**3 - 19*t**2 + t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, z: 3, t: 5, o: 3}. What is prob of sequence zvvz?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/12)\/(1\/(-6)). What is the derivative of 0*i**2 + 3 - i**2 - b wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123990 is divided by 137.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*l = 24 + 6, 16 = 3*t + 2*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1008 and -61\/624.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/7)*o)**(1\/32))**36 assuming o is positive.\nAnswer: o**(153\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 7, x: 6}. What is prob of picking 3 x and 1 j?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 4*z + 2. Let p be h(5). Let a(d) = -2*d - 1. Let m be a(p). Let n be (1\/4)\/(6\/48). Solve m*g = -n*c - c - 25, -2*g - 24 = 4*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 4.69, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 0 + 9*j + 39 - 993*j**2 - 9*j.\nAnswer: -993*j**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1 + sqrt(605))*6)**2 - sqrt(605)).\nAnswer: -43632 + 1606*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 65. Let x = 45.00164 - b. What is x rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 375\/35 - (-4)\/14. Let g be 270\/(-33) + 2\/v. Let b(a) = a**3 + 7*a**2 - 16*a - 3. Calculate the remainder when b(g) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -637245*t**4 + 245353605*t**3 - 5497880*t**2 + 30800*t.\nAnswer: -5*t*(t - 385)*(357*t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*c = 164997, -5*c - 130315 = 5*j + 34680. What is j rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235660293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202633823?\nAnswer: 7, 137, 211297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3795 - -4356. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4 + (-5)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*h - 20, -357*h + 359*h - 14 = 3*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 24*b - 125. Let j be a(8). Suppose o + j*o = o. Let c(v) = v**2 - 7. Give c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - x - 115, -20 = -t - x + 33. Suppose -6*i = -2*i - t. Let v = -17 - -35. Calculate the lowest common multiple of v and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50097369 is divided by 201.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8880 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 5*j - 125, -j = h + 19. Let c be (-101)\/(-11) - (-4)\/h. What is the units digit of ((-6)\/c)\/(4\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/6)\/1 + 52\/78. Let a = c + 8. Solve 4*f = 2*f - a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -697, -12 in decreasing order.\nAnswer: 2\/11, -12, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/4*(-3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.991 - -18. Let j = 0.065 - t. Let a = j - 0.156. Which is smaller: a or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/5 - 9*u**4 + u - 272. Let f(t) = 0. Calculate t.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-1)\/(-10) - 18\/(-45)). Let k(i) = -4*i**3 - 5*i**2 - 4*i - 9. Does 6 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + -0.83. Let n = -3.4 + d. Let g = -0.2 - n. What is the nearest to -1 in 2\/9, g, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 138*u**2 - 14279*u - 825. Determine f(207).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 4, -2\/7, 226, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 16*b = 6*b. Solve 3*g = 5*m + 16, -3*g = -b*g - 4*m - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997277?\nAnswer: 3, 151, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164.1352g to kilograms.\nAnswer: 0.1641352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2*(0 + -1). Let w(n) = -9*n**3 + n**2 - 6*n + 6. Let i(j) = -18*j**3 + 2*j**2 - 11*j + 11. Let k(f) = -6*i(f) + 11*w(f). Is 6 a factor of k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20 + (-2848)\/(-144))\/((-1)\/(-6)). What is the second smallest value in 2, -0.4, m, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (7 + -14)) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29139330 by -110.\nAnswer: -264903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1270655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 23396.\nAnswer: 93584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:31 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 4*w - 60. Let j be g(-4). Solve 12 = -j*t - 3*x, -3*t - 9 = -0*x - x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = 10. Suppose -q - 2 - c = -2*b, -b - 5 = 0. Are -12 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 36*v + 35 - 44*v - 57 + v**2 + 27. Suppose 3 = -2*q + 17. Give l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -7*i**2\/2 + 3*i + 32. List the prime factors of n(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w**2)*(-w + 0 + 0) + 3*w**3 + 0*w**3 - w**3 + (w**2 + 0*w**2 + w**2)*(3*w - 3*w + w) - 8*w**3 + 0*w**3 + 0*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 - 230*a - 2645 = 0. Calculate a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-25) - (-162)\/15. Suppose 108 = -g*b + 13*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4*d + 5*d)*(558 - 14246*d**2 + 558 - 1116).\nAnswer: 14246*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 77 + 52 - 53 + 183*v. Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 2, -3, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 + 0*s**3 - 6*s**3 + (20 - 4*s - 20)*(-1 + 1 + s**2).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.1, -0.9, 17?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let y(r) = -1560*r**2 - 27*r + 27. Let k(a) = 120*a**2 + 2*a - 2. Let s(p) = 54*k(p) + 4*y(p). Determine s(j(i)).\nAnswer: 960*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(350)\/sqrt(7)*2 + (3 + sqrt(6)\/sqrt(3))*-1))**2 + -2)*-2.\nAnswer: -338 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19)*-1 + 2 + (3*sqrt(228))\/sqrt(12) + -2*sqrt(19) + sqrt(19) + -2)**2.\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3021*u - 90594. Determine r(30).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 3*h**2 + 7*h + 7. Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 12)*(-q + 0 + 0).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7.6. Let w = 6 - 6.5. Let q = w + u. What is the biggest value in -2, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 49*d**2 + 29*d + 49. Calculate the lowest common multiple of 70 and t(-14).\nAnswer: 65030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.029 - -38. Let j = -2.344 + 2.373112. Let u = j + d. Round u to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50264 and 77959464.\nAnswer: 77959464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iit when three letters picked without replacement from iatit?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by -244260?\nAnswer: 71\/81420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136.271 + 133.4. Let h = 0.079 - x. Let p = h + 0.05. Which is the second smallest value? (a) -3\/4 (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 894, 883, 858, 813, 742, 639?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 22*n = -14. Let l(f) = f**2 - f. Let b(p) be the second derivative of 5*p**4\/12 - p**3\/2 - p. Calculate n*b(c) - 3*l(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -463\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v - 5976 + 7109 = 4003 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + c - 1. Let x = -167 - -168. Let j(a) = 2*a**2 - 6*a + 8. Suppose 0*g - 5 = -2*k - g, -11 = -2*k + g. Let n(z) = k*m(z) + x*j(z). Factor n(r).\nAnswer: -2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r - 19. Give m(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 9*h + 8. Calculate c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14462 times -120?\nAnswer: 1735440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 + -335 - (-40 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*i + 2*i - 19, 0 = 3*i - y + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a**3 - 295*a**2 - 51. Let s(v) = -4*v**3 - 97*v**2 - 18. Give 6*k(m) - 17*s(m).\nAnswer: -4*m**3 - 121*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35973 = -3*x + 3*t + 11475, 0 = -x - 4*t + 15836. Is 70 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202 + 282 + 192 - 70)*(4*f + f - 3*f).\nAnswer: 1212*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 2*i - 5*i. Let c(f) = 8*f**2 + 5*f. Let q(j) = -j + 3. Let k be q(-3). Let y(m) = 9*m**2 + 6*m. Let t(l) = k*c(l) - 5*y(l). Calculate o(t(d)).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 4*a - 26, -4*o - a = 24. Let f(x) be the second derivative of x**4\/12 + x**3\/2 - 3*x**2 + 5*x. Is 2 a factor of f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 2814*z - 530*z.\nAnswer: -3344*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(46 + 69 + 18)*(-2*d + 2*d + d**3).\nAnswer: -266*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab9403 (base 13) to base 14.\nAnswer: -7750ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470647200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -886.938857 rounded to the nearest 10?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -846, -1699, -2562, -3435, -4318?\n\"Answer: -5*p**2 - 838*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -f - 5. Suppose -36 = -25*g + 13*g. Suppose -b + 4*b = f*x + 453, -g*b = 5*x - 493. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 225, 229, 237, 249, 265?\n\"Answer: 2*r**2 - 2*r + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5748.923 - -5748.86656534. Let x = -0.106435 - c. Let k = x + 0.05. Round k to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76))**2*5*-6.\nAnswer: -2310 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -1. Calculate the greatest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*4 + sqrt(931))*-4 + sqrt(931) - (((sqrt(133) - 1*sqrt(133)) + sqrt(133))\/sqrt(7) + sqrt(171)*-1))**2*-5.\nAnswer: -1630295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/2 + 20*y + 200 = 0 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150, 146, 142?\n\"Answer: -4*p + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4466339873 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -87.87566 * 0.25\nAnswer: -21.968915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**3 - 55*g**2*k**3 - 2*g**2 - 1360*g*k**3 - k**3 wrt g.\nAnswer: -30*g - 110*k**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 4*f**2 - 16*f - 70. Let c be p(-6). Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.171 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 243 = -707. Let z = u - -1863. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.2, -2.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Let y = 3.000004 + n. What is y rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103228*b**2*l**2 + 4874*b**2*l - b*l + 5*l wrt l?\nAnswer: 206456*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + 6 + -9 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3085632193.\nAnswer: 7, 440804599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1000) - (sqrt(10) + -2*sqrt(1000) + sqrt(10)))\/(sqrt(18)\/(2*sqrt(1089) - sqrt(9))))**2.\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3}. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/10 - r**4\/4 - 89*r**2. Let j(n) = -n**2 - 7*n - 6. Let q be j(-4). Let c(p) = p**3 + p**2 + p. Give q*c(k) + a(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 - 6*h - 3. Let l be a(7). Suppose 3*f = l*f - 34. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44, 34, 72, 206, 484, 954, 1664?\n\"Answer: 8*w**3 - 24*w**2 + 6*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1452507 by -5061.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/93? (a) -1 (b) -7 (c) 3\/4 (d) 0.5 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83429.\nAnswer: 19, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160 divided by 116?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4293 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302.364 * 0.5.\nAnswer: -151.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let u(a) be the third derivative of a**4\/8 + 87*a**3\/2 - 361*a**2 + 3*a - 2. Calculate f(u(j)).\nAnswer: 3*j + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 10*w + 465. Calculate the remainder when 239 is divided by r(16).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2*81051.\nAnswer: 259363.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 1067339?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20 and -77\/16206.\nAnswer: 162060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*v - 4 + 18 = 0, 4*w + 5*v - 17 = 0. Let b(t) = -t + 13. Let k be b(w). What is the second derivative of 63*g**2 + 25*g - 63*g**2 - k*g**5 wrt g?\nAnswer: -300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2*f**5\/5 - f**4\/2 + 10*f**3 - 23*f**2 + 20*f - 481. Factor s(o).\nAnswer: -2*(o - 2)*(o - 1)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 - 5*h - 4. Let x = -14 - -11. Let i be s(x). Suppose 3*o - 15 = i*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2 + 2)*(11*g**2 + 13 - 69 - 9*g**2).\nAnswer: 2*g**3 - 56*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8949083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -258 + (-2)\/10. Let q = 7111\/30 + u. Find the common denominator of q and (-5 - (-116)\/24)*29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37747 = 2*q - 3867. Round q to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/59757 and 71\/45.\nAnswer: 896355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 40*s**2. Let f(v) = 316*v - 23. Calculate f(g(p)).\nAnswer: 12640*p**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.97886 to 0 decimal places.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 604004661 divided by -201334887\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7151 + 7151. Let x = 4 + -3.8. What is the closest to x in g, -10, 4\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q**2 - q)*(-2035*q + 5254 - 5254 + 394*q).\nAnswer: -6564*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 3)*(-2*b**2 - 2*b**2 + b**2) in the form l*b**2 + x + h*b and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 572 = 2*s, 5*v - 16 = v. Suppose 2*k = 4*w + s, w = k + 4*w - 139. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 85*j**2 + j + 2. Let d(o) = -o. Give g(d(q)).\nAnswer: 85*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/70)\/1*(-195)\/338?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263659.7 grams to micrograms.\nAnswer: 263659700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*w = -2*i + 27, 0 = 3*w - 4*i - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 407310\/19 - 21446. Do r and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370892 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a (base 12) in base 6?\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 455044*m - 455047*m, -3*w - 15 = 6*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6060*y. Let a be l(1). Let w be (-38894)\/a + 4\/(-10). Let p = -15\/101 - w. Calculate the common denominator of p and -87\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) - (-3)\/(-15). Suppose 5*a - 3*j + 35 = 0, 3*a - 4*j + 32 = -o*a. Let x be 3\/(-6) - 10\/a. Is x greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -s - 24 = -4*s - p. Let o be 2\/s - (-1 + (-57)\/12). Find the second derivative of -16*b + 16*b**5 - 7*b - b - o*b**5 wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426 = -8*h + 498 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m. Let v(x) = -x**2 - 5*x - 4. Let h be v(-3). Let q(u) = 4*u**h + 1851 - 1851. What is q(y(j))?\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, z: 4}. What is prob of picking 3 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164772 and 468.\nAnswer: 2142036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 166\/8 - -2*(-3)\/8. Suppose 32*p = 28*p + l. Solve 2*g + n - 10 = 0, 3*g + 0*n - p*n + 11 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 17*z**2 + 20*z + 66. Let r be q(-16). What is the common denominator of 89\/64 and (-1)\/10 + 22\/(-10) + r?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*n**3 - 26 + 43*n**3 + 29.\nAnswer: -110*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Let m(n) = n - 3. Determine m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*h)*(-2 + 1 - 1) - 1 + 1 + h)*(3*h - 1 + 1) + 16*h**2 - 5*h**2 - 46 - 9*h**2.\nAnswer: 17*h**2 - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*a + 5 = -p, 2*p + 4*a + 10 = 0. What is the third derivative of 146 + p*k**2 + 8*k**2 - 146 - 14*k**3 wrt k?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 4*f - 29 = 18*g, g - 2*f = 7. Solve 0 = -3*c - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 5*i - 85. Let x = i - 83. Solve x*m + m = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -26*w**4 - 5*w**3 + 14*w**2 - 5. Let t(j) = 27*j**4 + 6*j**3 - 15*j**2 + 6. Let x(a) = 6*s(a) + 5*t(a). Find the third derivative of x(o) wrt o.\nAnswer: -504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -16*w + 15*w. Let k = w + -83. Find the second derivative of -23*p**2 - 4*p**2 - k*p + 38*p wrt p.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 155 and 0.82.\nAnswer: 155.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40375 or 40374?\nAnswer: 40375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5348533.\nAnswer: 5348533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*v**6 - 614*v**2?\nAnswer: -7800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206662 is divided by 218.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.539 - -0.039. Suppose -2*d + 0*d = -5*u + 8, 3*u + 3*d + 12 = 0. Sort o, u, 0.5 in descending order.\nAnswer: 0.5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2885, 5756, 8641, 11540, 14453, 17380?\nAnswer: 20321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1417857 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408933 and 147?\nAnswer: 2862531","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.202606363 and -0.08?\nAnswer: 0.282606363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-36)\/(-9))\/(-2*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73.61 - 74. Let x = y + -23.61. Let i = x + 24.0000011. What is i rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/7192 and 47\/4192820.\nAnswer: 259954840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -207590642427*n**3\/5 - 1578318*n**2\/5 - 3*n\/5 = 0.\nAnswer: -1\/263053, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6 - (-32)\/42) + (-104)\/210.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**2 + 5*h + 4. Let p = -12 - -11. Let j be t(p). Solve 4*a = -2*k, 0 + j = -4*k - 4*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 41. Calculate the remainder when h is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - -2*sqrt(2448) - sqrt(2448))*3 + -2 - (sqrt(2448) - (sqrt(2448)*-3*-2 + sqrt(2448)))*-1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 94532 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**3 + 187*a**2 - 7*a + 28. Give j(24).\nAnswer: -3020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -40, 2\/5, 21, 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39653 is divided by 239?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*m - 3, 381*h - 376*h - 9 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 0*n - 2*n + (3 - 2*n - 3)*(6 - 2 - 2) + 707 - n - 768 + 2*n.\nAnswer: -2*n - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 219*g. Let p(s) = 26*s**2 + 57*s + 3. Let v(f) = -3*f**2 - 19*f - 1. Let m(q) = p(q) + 3*v(q). Give n(m(x)).\nAnswer: 3723*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 673 = 75*f + 479 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6 - 9 - (-4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1539) + -1)*1)**2 + ((4 + sqrt(1539))*-5 + -4)**2.\nAnswer: 2052*sqrt(19) + 94456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 8*d + 4*d)*(-4*d - 2*d + 5*d)*(20 + 6 + 94).\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(288) - (sqrt(288)*-3 - sqrt(288))) + sqrt(2) + 4)**2*-4*-5.\nAnswer: 9920*sqrt(2) + 154080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -2 (c) 22728 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(320) + sqrt(320) + 0 + sqrt(320) + 1)**2.\nAnswer: -48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6681 from -113.\nAnswer: -113.6681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 436273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 830, 1579, 2328, 3077?\nAnswer: 3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 674126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86, 0, -218, -634, -1314?\n\"Answer: -11*l**3 - 9*l + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 114031.\nAnswer: 1140310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.1853 - 27.32. Let m = 0.2538 + l. Round m to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37999 and 34047?\nAnswer: 99519381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 2321260?\nAnswer: -232125e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -338 (c) 4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/2 - 23867*d - 238645\/2 = 0. What is d?\nAnswer: -47729, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 51*a**2 + 624*a - 8. Determine j(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40013*u**3\/4 + 80027*u**2\/4 + u\/2 = 0. Calculate u.\nAnswer: -2, -1\/40013, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -4 + (0 - 12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14821, -29644, -44467, -59290, -74113?\nAnswer: -88936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*i - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.5 - 13.4. Let f = 2.7 - 3. Which is the nearest to p? (a) -2\/7 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 11*v**2 - v + 2. Let q be d(-12). Let k(b) = -52*b - 49*b + q*b - 54*b. Let o(c) = 4*c**2. Calculate k(o(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -0.05, 0, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 65*i + 3. Suppose -103 = -30*l + 47. Let a(g) = 32*g + 2. Let h(v) = l*a(v) - 3*r(v). Let x(k) = 3*k**2. What is h(x(m))?\nAnswer: -105*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 + 2)*(2*t**2 - t**2 + 2*t**2 + (0*t + 3*t - t)*(4 + 2*t - 4)) to k*t + u + w*t**2 and give w.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(3*sqrt(6)))**2*5.\nAnswer: 55\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -2 + 1 - (82 - (-26 - -84))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9342 + 9349 + (2 - 3\/(-14)*-41).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -19*y**3 + 5*y - 5. Let u(t) = -10*t**3 + 3*t - 3. Let f be (((-6)\/12)\/((-4)\/40))\/(-1). What is f*u(w) + 3*b(w)?\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 33459367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 3*h. Let r(j) = j + 5. Let p be r(-3). Suppose -p*n - 4*y - 2 = -9*y, -5*y - 28 = 3*n. Let t be 26\/(-7) - n\/(-21). Give s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let m be 3\/(-47 + 48 + (3 - 1)). Let u(a) = -a**2 - 12*a + 32. Let p be u(-14). Put m, -5, p, l in ascending order.\nAnswer: -5, l, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -13, 4, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3)**47\/(w**11*w\/w**15))**(-15\/8) assuming w is positive.\nAnswer: w**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161717961?\nAnswer: 3, 53905987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/3 + 59*m + 960 = 0.\nAnswer: -15, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/12 + 9*k**2\/2 + 35*k\/4 + 42. Solve d(j) = 0 for j.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 = 5*v, 19*v - 18*v = -4*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*((-6)\/(-4) - 0). Let y(q) = 2*q**2 - 1. Let x(s) = 10*s**2 - 6. Calculate v*x(g) + 11*y(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10958215 to the nearest integer?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**4\/24 + i**3\/6 - i**2. Let h(r) = -r**3 + 5*r**2 + 2*r - 6. Let x be h(5). Is o(x) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**2 + 2*x - 17. Let d(g) = 16*g**2 - 4*g + 35. Determine 4*d(n) + 9*r(n).\nAnswer: n**2 + 2*n - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - (sqrt(600)*2 + sqrt(600)))*-6 + -2*sqrt(600)*-2)\/(sqrt(144)\/(sqrt(24)\/sqrt(75))).\nAnswer: 32*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*p - 121, 0*z + 3*p = -z + 114. Let f(r) = r**3 + 12*r**2 + 30*r + 40. Calculate the least common multiple of z and f(-9).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.013 and 8664?\nAnswer: 8662.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*y + 211*y = 4. Let g(b) = b**2 + 68 - 36 - 31. Let n(q) = 2*q**2 + q + 2. Give y*g(f) - n(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1712 divided by 428\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*x = -108*x - 9, 4*x = 2*z + 12. Solve 4*y = 2*u + 7 - 15, z = 2*y + 2*u - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*j + 3, -j - 17 + 9 = 2*r. Suppose -3*w - 15 = -i, -2*w + 5*i - 3 = 7. Sort r, w, 9.\nAnswer: w, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 65. Let c be (-20)\/6*(-18)\/15. Let t be (-2)\/(-10) - (5\/25 - 5). Solve -2*v = t*i - p, i + c = v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31038482?\nAnswer: 2, 15519241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3 - i**2 - 69*i**3 - 1 + 5. Let m be s(1). Let p = m + 102. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, s: 9}. Give prob of picking 3 s and 1 r.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 196 - 192. Solve 5*c = 4*c + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23945976 and 1593.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20023 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 91950?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*g - 5, 0*c + c = -2*g - 3. Suppose -g = -h + 4*n, h - n = -3*n + 1. Put 34, -2, h in increasing order.\nAnswer: -2, h, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79096*p + 79110*p - 70 = 0. Solve 6705*n + p = 6700*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/42700 and 7\/1100.\nAnswer: 469700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1790761007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -29*n - 5. What is the remainder when 511 is divided by j(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -158, -269, -398, -551, -734?\n\"Answer: -a**3 - 92*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a centimeter in millimeters?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 + -12. Let r = w + -35. 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 tens digit of 1999479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-0.8.\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439.9605 + 440. Let q = s + -0.039337. Round q to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-10))\/(1\/(-155)). Let o = -59 + u. Calculate the greatest common factor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 4756326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(810) - sqrt(810)*2))\/(sqrt(441) + (sqrt(441)*2 + sqrt(441))*4 - sqrt(441)).\nAnswer: -sqrt(5)\/756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -40 + 78 - 44 - v**3 + 4*v**2 + 5*v. Suppose -j = 4*j + 50. Let q = j - -15. Calculate o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000036298512 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8304896 to the nearest integer?\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24132*g + 3115 - 32476*g - 6238 + 3123.\nAnswer: -56608*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111221111212 + 12?\nAnswer: 111221112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6956 + -6955.9999927683. Round g to 7 decimal places.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1405 + -8425\/6. Calculate the common denominator of x and -94\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8710 + -104459\/12. Let l = 3408 - 385. Let y = -48431\/16 + l. Find the common denominator of y and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -380*w + 360*w + 23460. Calculate the remainder when w is divided by 1148.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -49*r + 5. Let a be i(-1). Let q = -25 + a. Calculate the highest common divisor of q and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -6, 45, 17, 0.5, -2\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/72 and 109\/90440.\nAnswer: 813960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(7\/672). Suppose -17*x = -16*x - b. What is the remainder when 62 is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 2660*q**2 + 981862*q.\nAnswer: -2*q*(q - 301)*(q + 1631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1549426.2390141 + 1549426. Let j = b + 0.239. What is j rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8 + 12 = -2*b, w + 7 = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14 (b) -0.12 (c) 1 (d) -3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.4, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -594441.96 rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*a + 2 - 17, -5*a = 4*l - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 5*y**2 + 9*y - 1784. Let c(p) = 9*p + 8. Calculate -5*c(a) + 4*k(a).\nAnswer: -5*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66.061 and -5?\nAnswer: 61.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -450794, -1\/2 in descending order.\nAnswer: -0.13, -1\/2, -450794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t = -295. Let d = t - -133. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629.8194ng to tonnes.\nAnswer: 0.0000000000006298194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113031 - 0.017\nAnswer: -113031.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 2*i + 1. Let j be q(-1). Suppose -5*b - 12 - 14 = 2*f, -2*f - j*b = 18. Let a(x) = -2*x + 2. Calculate a(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 19599*x + x**2 + 39260*x - 19661*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67737923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(0 - 1 - 0). Let i be w\/14 - 138\/(-7). Suppose -6*o - i = -2*o. Which is smaller: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*s + 655*s - 1919*s + 644*s.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3633521, -7267041, -10900561?\n\"Answer: -3633520*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 1)*(-24)\/14. Is 4 a factor of n*(0 + 4\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.83 + -0.17. Let o = -17 - q. Let c = o + 8.912. What is c rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 + 0.2. Let r be (-3 + 10\/6)*-3. Let g be (2\/r)\/((-21)\/(-14)). What is the smallest value in g, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = c + 19. Solve -5*s = -c*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t - 6*t)*(1 - 3 + 3) - t + 3 - 3 + (t + t - 4*t)*(0 + 0 - 1) + 2*t - 5*t - 10*t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379616.\nAnswer: 2, 74363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -65, -92, -119?\n\"Answer: -27*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -94*n. Let w(t) = t**2. Determine h(w(y)).\nAnswer: -94*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1757, -1745, -1717, -1667, -1589, -1477, -1325?\n\"Answer: y**3 + 2*y**2 - y - 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 - 1. Let h be u(2). Let l = 9 + -4. Let b = -17 - -18. What is the nearest to b in 4, l, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 5. Let o(w) = -5*w + 20. Suppose 4*a - 9 - 27 = 0. Let q(m) = a*s(m) - 2*o(m). Let y be q(0). Calculate the highest common divisor of y and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 114 and -56020?\nAnswer: 56134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15094062 - 0.07578\nAnswer: -15094062.07578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*n + 92, -3*n + 28 = c - 30. Calculate the greatest common divisor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -244 - -3169\/13. Let b(c) = -3*c**2 + 6*c + 5. Let z(x) = 4*x**2 - 6*x - 5. Let n(v) = -5*b(v) - 4*z(v). Let p be n(-5). Is p at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -10) + -15 - (-5 + 1) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*p - 11, 4*r = 5*p - 6 - 0. Let f(i) = 2*i + 2. Let s(v) = -5*v - 1 + 2*v + 2*v. Calculate r*f(x) + s(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 5168*r**2 + 1 + 5172*r**2 - 4*r**3 + r + 1. Let f(t) = 13*t**3 - 13*t**2 - 8*t - 7. Calculate -2*f(u) - 7*q(u).\nAnswer: 2*u**3 - 2*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*l - 577433 = -577513, 2*l = -24*f - 506 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 20 - 108 + 25.\nAnswer: -l - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o - 1065875 + 1065875.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 - 0 - (1 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24609 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703045 divided by -5?\nAnswer: -540609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*((-282)\/188 - (1 - 2)). Solve 33*v = -64 - k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -16*k. Let b(m) = 2147*m. Calculate l(b(r)).\nAnswer: -34352*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 15. Suppose -y = u*y - 7976. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -796334 - 35\nAnswer: -796369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2600 is divided by 514?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206527\/1793 + -6\/1793. Let h = 115 - w. Let m = -0.3 - 4.7. Put -3\/4, m, h in descending order.\nAnswer: h, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -8. Suppose -w*p - 2*m = 2, 3*p = -5*m + 3*m. Solve -p*j - 10 = -5*l, 4*l - 11 + 3 = j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = -4*l + 253, -2*l = p - 125. Suppose 0 = 2*q + 8, 20 - l = -5*o + q. Calculate the remainder when 13 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -10. Suppose -2*m = 4*w - 2*w - 28, m = 4*w - 31. Let i be w\/(-6)*2\/6. What is the nearest to 1 in -0.1, i, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0 + 0*l + 1\/4*l**4 + 20*l**2 + 0*l**3 - 9\/20*l**5. Find s, given that t(s) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m + 34. Suppose 0 = -4*j - 21 + 69. What is the least common multiple of j and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let v(s) = 2*s**3 + 3*s**2. Let c(x) = 10*o(x) - 2*v(x). Solve c(r) = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (3 + 0)*-1. Let i be (4\/(-3))\/(4\/(-6)). Solve -2*u + u - i = d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**10*i*i*i**4)**(-27)*(((i\/(i\/i**(2\/5)))\/i)\/i**(-1\/3))\/((i*i**(1\/7))\/i**(2\/15)) assuming i is positive.\nAnswer: i**(8371\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1783*k - 40962. Calculate w(-23).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 1 + 1)*(3*c**2 - 2*c**2 - 2*c**2)*(-c + 0*c + 0*c).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -462214*r**2*x*z + 2*r**2 + 78*r*x*z - 3*r*x + 4*r + 2*x*z + 127*z wrt r.\nAnswer: -924428*x*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5105 - -5129. What is the least common multiple of 176 and n?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.09 + 20. Which is the fourth biggest value? (a) 0 (b) -0.3 (c) i (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 - 19660*y + 19655 = 0.\nAnswer: 1, 3931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u = -4*m + 900, 0 = -2*m + 5*u + 465. Suppose 5*n - m = 630. What are the prime factors of n?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = 32*x - 2*c, 2*x + 10*c + 34 = -x + 11*c for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 2*c. Let o be r(4). Let n = -121\/3 + o. Put n, 3, -0.1 in decreasing order.\nAnswer: 3, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07293 times 0.21?\nAnswer: 0.0153153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*518.4\nAnswer: -1399.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 49*b**5\/5 + 15*b**4\/4 + 14*b**3\/3 + b**2\/2 - 8*b - 50. Find the third derivative of v(f) wrt f.\nAnswer: 1176*f + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180829 and 33099?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.4483529 * -5.\nAnswer: -27.2417645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -49. Let z be (w\/14)\/((-6)\/8). Suppose 4*l - 84000004 = 2*t, 4*l = z*t + t + 84000006. Round l to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -312 + 310. Sort -95, 3, c.\nAnswer: -95, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.54 and -96975707?\nAnswer: 96975703.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 232220 (base 5) to base 4\nAnswer: 2003303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2525 and 550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1476 and 11700.\nAnswer: 479700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6175555332 and -0.02?\nAnswer: 6175555331.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236127794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(78)*2*-6)\/(sqrt(6) - (sqrt(384)*2 + sqrt(384) + sqrt(384))))**2*1.\nAnswer: 911\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 18. Suppose 0 = -u + a + 4. Suppose 0 = 4*w - u*w + 294. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/285 and ((-86)\/(-38))\/(5*(-270)\/81).\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -271\/9 (b) 7 (c) 1\/4 (d) -1 (e) 2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3763108?\nAnswer: 2, 439, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228922 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 23*v**2 + 23*v + 21. Let s be x(24). Let d(u) = 8*u**3 - 3*u**2 + 4*u. Let p(l) = -l**3 + l**2 - l. Determine s*p(j) - d(j).\nAnswer: -5*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74034470 - 74034470 - 12*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-1\/5))**(-2\/35)*(t\/(t**(-19)*t))\/(t\/((t\/(t**(2\/19)*t*t))\/t)))**(-8\/11) assuming t is positive.\nAnswer: t**(-419456\/36575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) -932 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.4 + -5.6. Let p = y + 83.7. What is the nearest to 0.2 in p, 2, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21036840 is divided by 4207368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17770, -35588, -53438, -71308, -89186, -107060, -124918?\nAnswer: -142748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 529 = 4*i, -4*i = -3*u + u + 206. Is 7 a factor of u\/(-5)*82\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -1926 + 420. Suppose 4*v = -12, -g - g = 2*v - c. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548376164 divided by -4?\nAnswer: 137094041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n**3 - 2084*n**2 + 27248*n - 2704 = 0.\nAnswer: 1\/10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*f - 145*f + 369 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2193 and -76\/45951.\nAnswer: 1975893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10835400 rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**3 + 3*u**2 - 3*u + 1. Factor o(g).\nAnswer: -3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16416.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303793*a**5 - 4*a**4 - 1170271*a.\nAnswer: 6075860*a**3 - 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:05 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25233.46 - -0.05.\nAnswer: 25233.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/15)*(r\/(r\/((r*r**33*r)\/r*r)))\/r*r*r assuming r is positive.\nAnswer: r**(539\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**3\/6 - 7*u**2\/2 - 4*u - 1. Let m(g) be the first derivative of w(g). Let z be m(-10). Solve z = -r - 0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-2 - n + 2) + 0*n + 0*n + n - 5*n + 4*n + 2*n + (-2 + 0 + 4)*(3*n - 4*n - n) + 4*n + n + 7*n - 474 - 4*n + 29*n - 27*n.\nAnswer: 9*n - 474","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100001 - 11010001001011010?\nAnswer: -11010000010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 - 43. Suppose o = -2*h + 38 + 7, 3*h - 2*o - n = 0. What is the smallest common multiple of 8 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -415901\nAnswer: -415900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g**3 + 8*g + 0 + 23*g**2 - 5\/4*g**4.\nAnswer: -g*(g - 8)*(g + 2)*(5*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1058 and -45\/33143.\nAnswer: 1524578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6338 - 3729. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -31. Let m be 5*((-16)\/(-10) + d). Find the first derivative of 28*v - 2*v**2 - 28*v + m + v**2 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010001011 - -10100110100100?\nAnswer: 10100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1134)\/405)\/((-4)\/10). Let p be (-2)\/(2*1\/(-5)). Suppose -16 = -d*u + p. Solve 5*b = u + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8186377289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3746615*y**3 - 75*y**2 - 282453213*y?\nAnswer: -22479690*y - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54337287 and 1300707?\nAnswer: 10083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5\/4, 90, 3, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 + -42027065768?\nAnswer: -42027065557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/546451 or -76?\nAnswer: 2\/546451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 31. Give j(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 372.74 + -378. Let k = -914.26 + 914. Let q = k - r. Sort 2\/13, q, -0.09 in ascending order.\nAnswer: -0.09, 2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c - 15 = 0. Let i = c + 9. What is the lowest common multiple of 2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29609*t + t**2 - 1 - 29609*t to g*t**2 + c + d*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**3 + 6*l**2 - 6*l + 356. Let y(d) = -d**3 + d**2 - d + 71. Let s(n) = -2*u(n) + 11*y(n). What is the tens digit of s(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 13 + 6 + 91*s.\nAnswer: 91*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -319*j**3 + j**2 + 2*j + 9. Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-12)\/27*-3. Let j = -7 + 5. Which is the smallest value? (a) -0.3 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -123. Calculate the remainder when r is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*v + v - 34, 5*v + 32 = -3*j. Suppose -z + 8 = -17. Let c = z + j. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-90) - (0 - 1 - -1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(-2 + sqrt(1331)) + 0)**2 + 0 + (-5*-2*sqrt(132) + sqrt(132))\/(-3*sqrt(192)).\nAnswer: -3179*sqrt(11)\/12 + 8010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -2*sqrt(162) + (sqrt(162) + sqrt(162) + 1)**2 + -1.\nAnswer: 19*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 89 - 94 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -319626 and -319625 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43014 and 10452.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12.5. Let z = 6.76 + -6.96. Which is the second smallest value? (a) z (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 - 190. Put 2\/7, s, 12.9 in decreasing order.\nAnswer: 12.9, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**10))\/(c*c**(5\/3))*(c**(2\/9))**(-20) assuming c is positive.\nAnswer: c**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7183324 * -0.5\nAnswer: -3591662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**6\/2 - 9*a**5\/5 - 111*a**4\/4 + 191*a**3 - 396*a**2 + 336*a + 157. Find t such that h(t) = 0.\nAnswer: -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2333\/6 + 777\/2. Put -4\/7, 0, 12\/7, l, 5 in descending order.\nAnswer: 5, 12\/7, 0, l, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33099843.3 and -191667.\nAnswer: 32908176.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71365678970225 minus 0.4?\nAnswer: 71365678970224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36655778*t**6 - 29805*t**2 - 771?\nAnswer: 4398693360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2392\/5 + -478. Let -8\/15 - 16\/15*f - a*f**2 = 0. Calculate f.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -79, -202, -395, -670, -1039?\n\"Answer: -2*a**3 - 17*a**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 29*x**3\/3 - 3*x**2\/2 - 438. Suppose -1 - 3 = -2*w. List the prime factors of g(w).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlnu when four letters picked without replacement from druhnul.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -653 less than -436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b**2 - 17*b + 11. Let y(n) = 7*n**2 - 6*n + 4. Let u(w) = 4*i(w) - 11*y(w). Suppose u(t) = 0. Calculate t.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2278, 4581, 6912, 9271?\nAnswer: 11658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 71 = -7*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = 5*j, -u + 14 = -3*j + 2. Let x be 2 - (2 - -2)\/j. Suppose 18 = x*v - 144. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21303200 (base 4) to base 5\nAnswer: -2241120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6695 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*z - 638 = -12 + 339. What is the lowest common multiple of 74 and z?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.9177 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 168 = -0*d + 4*d, 5*d + 165 = 4*o. Let y = -24 + o. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(108) - sqrt(108)) + 3*sqrt(3)*-5 + sqrt(3))*1)**2 + -1.\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*-6*(0 + sqrt(13))*-4)**2.\nAnswer: -432*sqrt(13) + 67401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207 + -206. Let a(u) be the first derivative of -n - 2\/3*u**3 + 3*u + 0*u**2. Find the first derivative of a(k) wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/5)\/v)\/(v*v*v\/(v**(3\/17)\/v*v)*v)*(v**(-31))**36)**(-1\/5) assuming v is positive.\nAnswer: v**(95168\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((3\/2)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 15*i - 1. Let t(g) = -4*g**2 + 16*g. Let p(y) = 5*b(y) - 4*t(y). Let l be p(-13). Solve -5*q + l = 2*x, -2*x + 0*q = -4*q + 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356.37928 rounded to the nearest integer?\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145725?\nAnswer: 3, 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/6 - 6\/(-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o - 2*o)*(2*o**3 + 1 - 1) + (-o**3 - o**3 + 3*o**3)*(0*o - 2*o + 0*o) - 3*o**4 - 3*o**4 + 5*o**4.\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4962 + 4974. Let z = -2682977 - -2682965.00003. Let y = h + z. Round y to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r - 3*r**3 + 2*r + 5*r**3 + (3*r - 5*r + 6*r)*((-r + 1 - 1)*(-22*r - 48*r - 15*r) + 0 + r**2 + 0).\nAnswer: 346*r**3 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 + -505. Let c be -10*(2 + z\/4). Let d = c - 1467\/2. Calculate the common denominator of -19\/4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4339128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.4 (c) -1\/3 (d) -1 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let b(a) be the second derivative of -35*a**3\/6 + a**2 + 41*a. Determine v(b(m)).\nAnswer: 1225*m**2 - 140*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -13 + 4 + 20 + 23 + -50\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93.35 + 8.05. What is z rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 832488, 832495, 832500, 832503?\nAnswer: 832504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 23*k + 3283 = -344 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(114)\/(sqrt(96)*-2) + (sqrt(19) + 1)**2 + 4 + -2*sqrt(304).\nAnswer: -49*sqrt(19)\/8 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:42 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -97*p - 181. Let a be w(-2). Solve -7*k - a = -27 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489131 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 15040?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*v - 3*y, -7*v + 3*v = -y - 19. Let f(j) = -3*j + 6 + 2*j - j**2 + 5*j. What is f(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 130\/(-11) - -17 - (-1 + 6). Suppose i + 4 = 3. Put i, -15, y, 2\/13 in ascending order.\nAnswer: -15, i, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-10)\/(-8))*2\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3641, -3639, -3637, -3635, -3633?\n\"Answer: 2*x - 3643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1635692996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 - 17453*g**2\/7 + 11045173*g - 1446009705.\nAnswer: (g - 8659)**2*(g - 135)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.12, 16, 0.2, -17, -0.9 in ascending order.\nAnswer: -17, -0.9, 0.12, 0.2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 - -9.5. Let m = -6 + c. What is the nearest to -1 in 2\/7, 2, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -5)\/((-2)\/(-26)). Let l = -3 - r. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615186957.\nAnswer: 3, 7, 11, 23, 89, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:05 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286 (base 13) to base 5.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t - 2*t**2 + 1 - 23*t - 1 - t**4 in the form m*t**3 + g*t**2 + w*t**4 + j + x*t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8163 and 5967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 7*n**2 - 2*n - 35. Calculate z(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77, -216, -333, -434, -525, -612, -701, -798?\n\"Answer: -k**3 + 17*k**2 - 183*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {q: 2, j: 4, y: 1, x: 6, f: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 785?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 20*y**2 - 4*y - 11. Let v(p) = -7*p**2 + p + 4. Suppose 3*o + 11 = -22. Let q(t) = o*v(t) - 4*c(t). What is the second derivative of q(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 10012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 7*a**5 + 2*a**5 + (0*a**4 + 0*a**4 + 2*a**4)*(3*a - a - 6*a).\nAnswer: -11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 14. Let w(s) = -7*s**2 + s**3 - s + 8 - s + 2. Let g be w(v). Put -1, 5, g in increasing order.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 0 + 0)*(-55 - 2 - 58)*(-3*v**2 + v**2 + 0*v**2) to the form h*v + d*v**3 + p*v**2 + f and give d.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -2 (c) 0.18 (d) 2 (e) 2\/3 (f) 10.99 (g) 0.062\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:18 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 2*sqrt(68))*2 - sqrt(68))\/(3*sqrt(16)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.5, -2\/13, 0.01, 109243, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h - 70 = 0. Let b = -270 - -286. What is the smallest common multiple of b and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/7488 and 101\/31316220.\nAnswer: 501059520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -784096752 take away -0.05?\nAnswer: -784096751.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*f - 270*f + 662*f - 257*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*u - 3 = 0, 4*z + 2*u = z + 20. Let b be (47\/2)\/((-4)\/(-8)). Suppose -4*l - 3 = -b. What is the remainder when l is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y + 6. Calculate the lowest common multiple of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14955891*t**5 + 4*t**2 - 8998*t - 9?\nAnswer: -897353460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423281 is divided by 108.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.87 and -0.192639?\nAnswer: 0.93815193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/6 and 83\/848.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 143. What is the closest to -10 in 1, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468, 951, 1444, 1953, 2484, 3043, 3636?\nAnswer: 4269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -173, -700, -1579, -2810, -4393, -6328?\n\"Answer: -176*p**2 + p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70537, 140994, 211451?\nAnswer: 281908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 504130589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28701120 divided by 280?\nAnswer: -102504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1 + -32)\/3. Let h = u + 6. Put -3, 6, h in ascending order.\nAnswer: h, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -2*2*(-4)\/16. Let b(g) = -8*g**3 + 11*g**2 + 14*g - 472. Let h(v) = 3*v**3 - 4*v**2 - 5*v + 157. Let o(s) = -4*b(s) - 11*h(s). Is o(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2161, 4310, 6455, 8596, 10733, 12866, 14995?\nAnswer: 17120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7650 and 2827440?\nAnswer: 14137200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -155\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 21775*l**2 + 452*l + 8 - 452*l.\nAnswer: -21775*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + -209)\/2)\/(-8587 + 8586).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255773 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v + 1. Let m be i(1). Let s(p) = 7*p**3 + 6. Let j(u) = -3*u**3 - 3. What is m*s(h) - 9*j(h)?\nAnswer: -h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -485 (b) -1 (c) 4 (d) -48 (e) -0.3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = -26*h + 69 + 84 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/8)*p\/((p*p*p*p\/p**(-6)*p*p)\/p*p)*(p\/(p\/((p**(-6)\/p)\/p)*p))**1 assuming p is positive.\nAnswer: p**(-163\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16355 - 16355.16. What is the closest to p in 2\/3, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 + 196 + 29)*(n**4 + n**4 + 4*n**4).\nAnswer: 1740*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211463\/22 or -9612?\nAnswer: -211463\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*(d\/d**(-2\/9))\/d)\/d*d**1)\/(((d*d**1)\/d)\/d**(-3))*((d\/(d*d**(-5\/3)))\/(d\/(d**(-5)*d)))\/(d**(1\/9)*d**2) assuming d is positive.\nAnswer: d**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 9*b**2 - 2*b - 11. Let r be i(-9). Let z be 6 - (r\/(-3) - (-10)\/(-15)). Suppose 6*p - z*p + 3729 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -13. Let u = r - 4.3. What is the third smallest value in 3, u, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 + 2*c**3 - 20*c**3 + 6*c**3 - 2*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 8*m**2 + m - 11. Let g be u(8). List the prime factors of (g + 45\/6)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -45648?\nAnswer: 45655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 19. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44609 and 9641?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 29*v**2 + 338*v - 28. What is the units digit of q(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-63)\/297)*(-432)\/324?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 152. Let o(p) = 178. Let t(x) = -4*o(x) - 5*y(x). Calculate t(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, -0.4, -1418, 1\/19, 0.2 in ascending order.\nAnswer: -1418, -0.4, 1\/19, 1\/6, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292746149?\nAnswer: 223, 647, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 6*c**2 + 5*c + 4. Suppose 21*j = 17*j + 16. Calculate s(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 3.1.\nAnswer: -0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 703102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -400?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52415178493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 5*o**2 + 6*o - 9. Determine h(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1974802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 56*w + 31 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -951*r + 8398 + 1979 = -22908 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 2*u)*(2*u - 3*u + 3*u - 3*u + 4*u + u - u + 3 - 3 + (2 - 4 + 0)*(3*u - 3*u + 2*u) - 5*u + 3*u - u) + 3 + u**2 - 3.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 67. Give g(-8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - (9 + -12 - 8) - (-14 + -7 + 6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 1969*a**2 - 1971*a**2 + 3*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -30 - (25 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (780\/9)\/(1460\/(-1095))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 575 = -5. Let c = r - 73. What is the highest common factor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.273+-23.91\nAnswer: -23.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15116 + -1\nAnswer: 15115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 9*g + 12 = 0. Suppose -3*a = 2*f - 3, -5*a + 1 = f + g. Solve 0 = 2*h + f*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 12*u - 13. What is g(-11)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -8*a, 17*a = -s + 12*a + 88 - 35. Let l(u) = -2*u + 0*u - 7*u + 10. Let m(i) be the first derivative of -3*i**2\/2 + 3*i + 2. Give s*l(x) + 7*m(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + (-2 + sqrt(112) + 4 + sqrt(112))**2 + ((-1 + sqrt(112))*-1)**2)*-6.\nAnswer: -3409 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x + 3 = 0, x - 40 = -j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14375136 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 3*w + 5*w)*(-4 + 3 + 0) + 4 - 5 + 2*w + 0 + (5 + 1 - 3)*(1 - 2*w - 1).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and -3314.236.\nAnswer: 96112.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 165*z - 4993. Give s(-125).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00110044 to 6 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 10)*(-33)\/(-66).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 27 - 3*a + a**2 + 52 as v*a**2 + m*a + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -12939*v - 51757. Calculate z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82198\/5 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*44\/133760*-48)\/((-2)\/8).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2 - 2)*(47*m - 72*m**2 - 139*m**2 - 54*m).\nAnswer: -211*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -3, 3\/5, 6\/11, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c0cb (base 16) to base 11.\nAnswer: -79357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 9. Which is the nearest to 0.1? (a) l (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -115404?\nAnswer: -6924.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 752, 1128, 1504, 1880, 2256?\nAnswer: 2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(288) - sqrt(288)) - (-5 + -2*sqrt(288)) - (sqrt(288) + 0 + (2 + sqrt(288) - sqrt(288)) + sqrt(288) + 5 + sqrt(288) + -1))**2.\nAnswer: 120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5 = -5*w. Which is the closest to -2? (a) 2\/5 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592918 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -5*k**7\/21 + k**4\/2 - 2*k. Find the third derivative of u(z) wrt z.\nAnswer: -600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**3\/24 + 915*k**2\/8 - 1829*k\/8 + 53. Factor g(p).\nAnswer: -(p - 1829)*(p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j + 2*j + 7*j)*(0 + j + 0) + (-8*j - 5*j + j)*(j - 4*j + j).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6695.\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 401 = 5*q + 112, z + 65 = q. Suppose -936 = -h + q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 26*k - 40. Give y(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.930703 - -0.069617. Let i = -37 + q. What is i rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 2. Let v(f) = -8*f + 10. Let u(b) = -30*i(b) + 6*v(b). What is u(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*y + 23, -2*y - 8 = -0*y. Let n(i) = i**2 - 9*i - 26. Let s be n(v). List the prime factors of (17 + -27)*26\/s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2287.8 and 14.\nAnswer: -2273.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 58. Suppose -4*i + 0 = 8. Sort q, 3, i in decreasing order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.05 + 1.85. What is the fourth smallest value in w, 3\/10, -1\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48217894*n**2 + 10803129*n.\nAnswer: -96435788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**3 - 4*t**2 + 4*t - 2. Let o(l) = -57*l**3 + 11*l**2 - 11*l + 5. Let v(n) = 3*o(n) + 8*x(n). List the prime factors of v(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in 0.104, -0.5, 2, 1\/3, 0.19, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27 + 24)*(-2)\/24. What is the third biggest value in q, -0.2, 8.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -18*t. Suppose -2*q - 6 = -0*q. Let c(y) = 6*y - 16. Let k(a) = -a + 3. Let l(r) = q*c(r) - 16*k(r). What is u(l(s))?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*a - 11 = 0, -5*a + 2*a + 21 = 4*z. Let r = z + -7. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 0) - (19 - (-29 + 38)) - -17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 v when four letters picked without replacement from xxxvxxxxxvxxvx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i - 5*i**2 - 104*i + 53*i.\nAnswer: -5*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 16 = 0. Let c be 4\/8 + (-2)\/o. Solve 0 = -3*b + 3, 5*b + 0 = 3*g - c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 1\/6 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -0.3, -1579\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - 0.2. Let v = -83 - -45. Let p be 9\/(-36) - v\/88. Which is the smallest value? (a) -1\/5 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -359710 in -0.5, 1\/9, -1\/6, -0.05, -2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80379 and 34752582.\nAnswer: 1355350698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 5 - 15\/(-20)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6162 - 6160. Let t = 54 + -28. Calculate the highest common divisor of v and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -12. Suppose 0*c + g*c - 4 = 0. Suppose c - 21 = -5*h. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -47*y**3 + 6*y**2 - 2*y - 8. Let w(i) = i**3 - i**2 + i + 1. What is k(z) + 6*w(z)?\nAnswer: -41*z**3 + 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172 - 352413?\nAnswer: -352241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 439636712*d**3*v**2 - 32114292*d**3*v + 12*v wrt v?\nAnswer: 879273424*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 416090000 to the nearest one million.\nAnswer: 416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + m**3)*(-230 + 150 - 444) + 4*m**3 + 3 + 5*m**3 - 6*m**3.\nAnswer: -521*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g - 53. What is q(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*x + 56, -2*x + 18 = -2*r - 10. Let u(t) = x*t - 38*t + 23*t. Let a(l) = -5*l. What is a(u(b))?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -496 (base 10) to base 8\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31061 + 31058. Let t = -0.03 + 0.23. Sort -4, r, t, 6 in increasing order.\nAnswer: -4, r, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8701*l**2 - 26*l + 14 + 8703*l**2 + 7 - 20*l. Let x be m(23). Solve 4*k - 2*a + 6 = 0, -k + 4*a + x = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 274. Let r be a(-30). Let u = r - -304. What is the greatest common divisor of 72 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56499, 56507, 56509, 56505, 56495, 56479, 56457?\nAnswer: 56429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2696895 (base 10) to base 13.\nAnswer: -7356c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**3\/9 + 296278*k**2\/9 - 222202*k\/9 - 74068\/9 = 0. Calculate k.\nAnswer: -1\/4, 1, 37034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-512)\/128 + 2*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 m when four letters picked without replacement from mssssssssyysssmms?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**50\/(j*j\/(j*j*j**(-2\/9))*j)**41 assuming j is positive.\nAnswer: j**(-451\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from qqqx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1 - -2) + (1352 - 1348)*21\/52.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 + q + 4. Let r be v(-6). Let t(w) = -2*w**3 - w**2 - 2*w. What is the units digit of t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 17 = 5, 63 = 3*j - r. Suppose 30 = 5*l + j. Suppose -l = -2*g + 54. Solve -2*o + o + 5*t = g, -4*o + 5*t = 37 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 9) to base 15\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (6 - (3 + -3 + 6)) - 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4004583130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*q - 361*q - 2046 + 177 = 0 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.7308 - -0.0692. Let h = i - 67. Let a = h + -7. Sort -3, a, 1\/5.\nAnswer: -3, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 26675682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 25 + 54 + 88 - j**2 - 2*j. Is 19 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 3*q + 3*q)*(q + 0 + 2*q**3 + 3 - 3*q) to the form k*q + o*q**3 + z*q**4 + s + i*q**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7765)\/(-130)*8 + 2\/13. Suppose 0 = 3*s - z - 458. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 116982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471309, 942620, 1413931, 1885242, 2356553?\nAnswer: 2827864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-6 - -9) - (-5 + -6 - -12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/73 + 140\/219. Let p = 2.51 + -5.51. Let d = -1.1 + 0.1. What is the nearest to d in -1, m, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/165*50\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.8. Let q be ((-1 - 1)\/(-10))\/(5\/25). Let h be ((19 - 4)\/(-5) - q) + 6. Which is the closest to h? (a) d (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 701*q - 59907. What is w(-77)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 333709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 23828*f**2\/5 + 47664*f\/5.\nAnswer: -2*f*(f - 2)*(f + 11916)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -569 + 585. Calculate the remainder when 829 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035.718um in millimeters?\nAnswer: 1.035718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12500 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 40, 61, 82, 103?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -950 - -955. Solve -6*w - 11 = -c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**6)\/u*u**(-5))\/(u\/(u\/(u\/(u*u*u*u**(2\/5)*u))))**(-41) assuming u is positive.\nAnswer: u**(-692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 215 (b) -0.3 (c) -2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02494 < 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1135726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -327, -1.36, -5 in descending order.\nAnswer: 2.4, -1.36, -5, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4 - 55164*b**3 + 26637156*b**2 - 53108836*b + 26526840 = 0.\nAnswer: 1, 499, 13290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let y(g) = 42 + 3*g + g - 3*g. Is y(t) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 614 - 132 = -5*t, -2*t - 2*o + 308 = 0. Let i(q) = -q**3 - 16*q**2 + 4*q + 73. What is the remainder when t is divided by i(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 70 = -5*m, 1 + 3 = -m + 4*v. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-258)\/90 + 6\/(-45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13442 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 84555*j**2\/4 + 42340*j + 125 = 0. Calculate j.\nAnswer: -2, -50\/16911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h + 48. Let i be k(16). Suppose 71 = 5*f - i. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 34 = 4*n, 0*n - 7 = x - 4*n. What is the lowest common multiple of (-9 - (-75)\/x) + 370\/6 and 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7552)\/1534*52\/8\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let c(f) = -40*f + 79*f + 64*f + 87*f. Determine q(c(v)).\nAnswer: -380*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7281665ml?\nAnswer: 0.0007281665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + 73\/2. Suppose 2*k = 4*k - 4. Suppose 5*s - 67 - d = -2*a, -4*s = k*a - 84. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 3*p**5 - 3*p**5 + (2*p**4 + 2*p - 2*p)*(-13*p + 40 - 40).\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubo when three letters picked without replacement from boueubel.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 0 + 2011 + 207 + -220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -2 - 23\/8. Let n = -227 - -227. Let x be (-2)\/(-6)*6\/18*n. Is t at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -16905695\nAnswer: -16905695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1510, -2, 4, -323, 0 in ascending order.\nAnswer: -323, -2, 0, 4, 1510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*t = 20, -16 = 4*q + q - 4*t. Suppose 8*a - a - 602 = q. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -4 + 0*x - 2\/3*x**3 - 2*x**2. What is the second derivative of t(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(-21*o + 10*o + 3*o)*(98 - 51 - 50) to the form h*o + r and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266199 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 5*(-1)\/39. Let y = w + 6\/13. What is the closest to -1 in -4, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*n + 1073*n - 354*n - 356*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 379 - 397. Let h be (-4)\/y + (152\/(-36) - -7). Let m(g) = -g**3 - 3*g**2 + 3*g - 3. Let p(r) = -6*r**3 - 16*r**2 + 16*r - 16. Give h*p(k) - 16*m(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972756624 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 10*a**2 + 3. Calculate x(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 26*z**2 - 29*z + 43. Let b be u(27). Does 3 divide b\/((-33)\/18) - -42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 - 6*s - 51. Let j(a) = -7*a**3 + 10*a + 103. Let g(p) = -3*j(p) - 5*y(p). What is the first derivative of g(b) wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 29*g**2 - g - 6. Let b be w(-5). Let r be 370\/b - 3\/6. Let x = r + -6715\/1629. Find the common denominator of 151\/6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 9*i**2 - 12*i - 3. Let j be w(6). Let u = j + -101\/3. Let d = 0.36 + 0.04. Which is the closest to u? (a) 0.5 (b) 1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 3 + 4)*(-i - 1 + 1) + 0*i + 0*i - 4*i - 6 + 948*i - 946*i + 4)*(-3*i + 4*i + 0*i) in the form u*i + k*i**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/14 and 41\/9518?\nAnswer: 66626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t + 17. Calculate z(12).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 360\/25*30\/4. Suppose 0 = -4*n + 8*n - o. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z + 118 = -26 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 112102012 (base 3) to base 8\nAnswer: 24414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178987*h - 178991*h + 4 + 357978*h - 4 + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*(4\/(-10))\/(66\/55)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4619*i**2 - 12 + 12 + 4614*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 101110100?\nAnswer: 101103333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948305050.83 minus 1.53?\nAnswer: 1948305049.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s - 17. Suppose 7*y = 2*y. Let b(u) = 1 + y - 3 - 5*u - 6. Give -13*b(f) + 6*c(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n**2 + 513*n - 723. What is m(84)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, l: 2}. What is prob of sequence olll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, -3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5102 greater than 5122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/22 and 34\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678 = 250*p - 4572 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 728.2051 meters?\nAnswer: 72820.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 17177 = 12579. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 2. Let c be r(1). Suppose -4*t + 40 = 5*s, -7 = s + c*t - 26. Solve 8 = s*i + 3*o, o + 29 = 5*i - 0*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4144855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.465 - -330.465. Let t = 330.0064 - m. Round t to four decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5696877937?\nAnswer: 113, 2083, 24203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*v**2 - 3 - 185*v**2 + 2)*(-2*v + 2*v + 2*v - 4).\nAnswer: -32*v**3 + 64*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 191. Let b = x + -116.000157. What is b rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:39 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -51479.8037 * 3\nAnswer: -154439.4111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 327337339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432752*m**3 + 864252*m**3 - 431504*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 9*r**2 - 9*r. Let s(b) = -8*b**3 - b**2 - b. Let f(z) = 3*z**3. Let v = -42 + 38. Let i(h) = v*s(h) - 11*f(h). Calculate -9*i(t) - 4*j(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775 divided by 25?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00482 rounded to 4 decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*w - 3 + 2*w + 1 - 1 + (-4 + 1 + 2)*(-2*w + 0 + 0) + 4*w - 2*w - 3*w - 14*w + 51*w + 13*w + 4*w - w - 5*w + 2*w - 3 + 3.\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142751 is divided by 714240.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2496 and 6?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220811629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 7cd?\nAnswer: -7cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*f - 6197 - 12107 = 166*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-2\/7)\/o)\/o))\/(o*o\/((o\/(o*o*o*o**9\/o))\/o)*o))**(-17\/4)*o**(-2)\/(o*o\/(o\/o**(-1\/5)))*(o\/((o*o\/o**(-5\/4))\/o*o))\/o**(4\/5) assuming o is positive.\nAnswer: o**(1389\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833293550 divided by -2732110.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 greater than 3\/502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 6 + (0 + 1)*10. Suppose y*s - 20 = 3*s. Solve 3*j - 4*j - 2 = s*t, 0 = -5*t + j - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4, -6*j + 4*j + 3 = -g. Suppose 4*l - q = 3879, 5*q + 6248 - 1403 = g*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*y + 3741 = -88*y - 891 + 515 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229 + -74. Suppose 3*g + k = 5*s, 116 = -s + 5*s - 4*g. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 6. Let v be m(5). Let g be v\/((-1 + -2)\/78). Let z = -11 + g. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/34 + 3234\/(-833) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9729)\/(-47))\/(-69))\/(-1*2\/26)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.06. Put 0, 1\/7, y in ascending order.\nAnswer: y, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 + 2*m - 12. Let o be (-20)\/(-90) + 2\/(-9). Let j be -1 + o - (-72)\/6. Calculate the smallest common multiple of 3 and g(j).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 30 = -4*z. Let w = z + 8. Suppose -w*b - n = -27 + 4, 3*b - 5*n - 15 = 0. Calculate the highest common factor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3845*v + 19341 wrt v?\nAnswer: 3845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0026 (b) -2\/189 (c) -4\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1835.68 and -544?\nAnswer: 2379.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 188010539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/147483?\nAnswer: 5\/147483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -216 (b) -6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 22*m**2 - 2*m + 2. Let c(t) = 66*t. Let x(p) = 22*p**2 - 69*p + 2. Let y(z) = -c(z) - x(z). Determine 3*a(q) + 2*y(q).\nAnswer: 22*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -3. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:14 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -8*m - 4*m - 96 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*g - g = -3, -18 = -n - 5*g. Let q(a) be the third derivative of -a**4\/6 + a**3\/3 + 13*a**2 - 2. Calculate q(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 11*f - 6. Let v be z(10). Suppose -3*p + 20 = u, 17 = -3*u - 3*p + 47. Solve 3*q - v*s + 11 = 0, u*s - 21 = -2*q + 2*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6724*f**3\/7 + 1640*f**2 + 700*f.\nAnswer: 4*f*(41*f + 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*-1 + -3.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8401*n**2 + 124. Let v(d) = -400*d**2 - 6. Give -62*v(y) - 3*x(y).\nAnswer: -403*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5194)\/(-106)*2\/(-28)*(-4)\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 169 = 3*h - 53, -2*x + 70 = h. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -469744 and -19466.2733.\nAnswer: -489210.2733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -69013401673.21 and -11?\nAnswer: 69013401662.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 235, 515, 911, 1429, 2075?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/4 - 981*g**3\/4 - 4445*g**2\/2 - 4950*g = 0. What is g?\nAnswer: -5, -4, 0, 990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 99, 87, 71?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/6 or -8?\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6231 (base 13) in base 5?\nAnswer: -413220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -2)*(-32)\/12. Suppose 4*m + a = -a + d, -3*m + 9 = 3*a. Let u be (4 + -7)*2\/(-3). Put 4, m, u in decreasing order.\nAnswer: 4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.92 + 0.08. Let f = -15\/2 - -8. Let y = 47\/568 + 3\/71. What is the closest to f in -2, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzyyeyyyd. Give prob of picking 1 d and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -16*f**2 + 885*f - 1186. Give b(54).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -322334 and -9.\nAnswer: 2901006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -52. Let i be (6 - -5)\/(2\/t). Suppose 0 = -q + i - 7. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 120. Suppose -2*j = 4*j - w. Let o = 44 + -29. Solve u - o = -4*h, u + 0*u - h = -j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a**3 + 4*a**2 - 1714*a - 5161. Give t(-3).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108? (a) -0.15 (b) 11 (c) -5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - h - 2)*(0 + 4*h + 0) + (-1 + 2 - 2)*(-2 + 273*h**2 - 40*h**2 + 142*h**2).\nAnswer: -379*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2\/2 + 1953*u - 19605\/2 = 0?\nAnswer: -1307, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -486+2\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-1\/14)\/((((((p**3*p)\/p)\/p*p*p)\/p)\/p)\/p*p**(-3)\/p)*(p*p**(-4)*p**(1\/3)\/p)**(-27\/5) assuming p is positive.\nAnswer: p**(5591\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -18. Suppose 4*k - 2*k = w. Find the second derivative of 9*r + k*r**4 + 2*r**4 + 2*r**4 - 12*r wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2301, -4129, -5963, -7803, -9649?\n\"Answer: -3*b**2 - 1819*b - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c0013 (base 14) to base 16.\nAnswer: 8221f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596 + 124 = 15*q. Suppose -b + 5*b + 148 = 0. Let u = b + q. Solve 5*p - 1 = -u, -4*o - 30 = 5*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from haammshmhhhmmhmhssh.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c - 143. Let k be r(-22). Solve -28*b + 25 = -k*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 p when three letters picked without replacement from {y: 1, c: 3, v: 1, u: 4, p: 8}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1659 + -1673. Which is the closest to h? (a) 0 (b) -0.2 (c) 2\/3 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -802, 84, 2762, 7238, 13518, 21608, 31514, 43242?\nAnswer: 56798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712952.\nAnswer: 2, 11, 30829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z = 312 + 52 + 101. Solve z*x - 19 = -4*c, x + c = -9 + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 49905*n\/2 - 224613.\nAnswer: (n - 9)*(n + 49914)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -28*z - 84. Let p be k(-3). Solve p = u + 4*u - 25, 4*v - 4*u = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let a(c) = -c - 1. Determine a(j) + 3*k(j).\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 264*u**2 + 3510*u.\nAnswer: 2*u*(u + 15)*(u + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 62 = 3*j, -52 = -2*j + l + l. Suppose -d - 3*d - j = 0. What are the prime factors of 4\/(-4*d\/360)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let a be (12\/10)\/(3\/10). Let f = a - y. What is the highest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 1. Let z(v) = -444*v + 3. Calculate -2*l(p) - z(p).\nAnswer: 438*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(17) - sqrt(102)\/(-2*sqrt(6))) + sqrt(17)) - (sqrt(1377) - -2*sqrt(1377) - sqrt(68)*-3).\nAnswer: -51*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12))\/(((-25)\/80)\/(-5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04709 to 3 decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -91.3559.\nAnswer: -91.8559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 685603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*p - 1917 = 179*p - 10105 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 486969 divided by -21?\nAnswer: -23189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**5\/60 - 7*v**4\/6 - 47*v**3\/3 - 3*v**2. Let k be a(-24). Solve p - 17 = -2*p - 4*u, 2*p + k = 4*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 - a**2 + a. Give z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*i - 4*d, -54 = -i + 3*i - 4*d. Let h be (-2)\/(-4) - i\/(-2). Calculate the common denominator of (-60)\/(-22) + h\/44 and 79\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*2\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -6*t + 8*t - 1, 0 = 10*t + 50 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52071, 55324, 60753, 68364, 78163, 90156, 104349?\n\"Answer: b**3 + 1082*b**2 + 50988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.82 - -2.32. Let w = 35.49 + z. Round w to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 943 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g + 129*g - 4 + 36*g + 75*g + 18*g.\nAnswer: 294*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -35 + 35 + 3*s**2. Let x(h) = -h + h**2 + h + 0*h. Give x(d(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -5\/4, -0.4, 4.\nAnswer: -5\/4, -0.4, -0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 - 39*h**3 + 48*h**2 + 36*h - 48 = 0. Calculate h.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h + 3*h + h)*(-3*h + 2*h - h) + 0*h**2 - h**2 - h**2 + (-7*h + 4*h + h)*(9*h - 86*h - 101*h))*(-h - 5*h + 5*h).\nAnswer: -350*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6751, -6796, -6841, -6886?\n\"Answer: -45*s - 6706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4083 divided by -511?\nAnswer: -4083\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-298*d**2 - 46415*d + 46415*d).\nAnswer: -298*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/5 + 163*u**3\/5 - 111*u**2\/5 - 11*u = 0.\nAnswer: -55, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 62.3, -1.\nAnswer: -2, -1, 62.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -12, 0 = -m - s - 3*s - 12. Let d(r) be the first derivative of m*r + 0*r**3 - 1\/2*r**2 - 3 - r**4. What is the second derivative of d(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 6) in base 16?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 3*r**3 + 1755 - 1757 - 26*r**3 + 2*r**3 in the form t*r**3 + i*r**2 + v*r + s and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.76 - 0.8. Let l = 2.1 - -2.9. What is the fourth biggest value in -1\/3, 0, l, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i*i)**(3\/5)*i*i\/i**(-1\/7)*i*i*i*(i**(-1)\/i)\/i assuming i is positive.\nAnswer: i**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 58*t - 3. Let j(g) = 2*g**2 + 175*g - 8. What is 3*j(q) - 8*r(q)?\nAnswer: -2*q**2 + 61*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -49. Let r = 34 + b. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 1\/120*d**5 + 8\/3*d**2 + 1\/18*d**4 + 2 - 51*d - 7\/9*d**3. Suppose n(k) = 0. Calculate k.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 16) in base 8?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:21 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6218726, -6218727, -6218728, -6218729?\nAnswer: -6218730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, i: 3, s: 1, l: 2, q: 6, z: 3}. Give prob of picking 2 l and 1 s.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116690 by -10.\nAnswer: -11669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 5)*(6 - 6 - 6*i) + (1 + 1 - 1)*(3*i - 3*i + i)*(-10 + 4 - 5))*(-7*i**2 + i + 0*i + 4*i**2).\nAnswer: 69*i**3 - 23*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 2*j**4 + 64 - 66 - 2*j + 3*j in the form w*j**4 + h*j**2 + d + p*j + u*j**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8166*o + 2 + 8177*o + 33*o**2 in the form d*o + m + x*o**2 and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:18 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-7)*(((o\/(o*(o**(-5\/8)\/o)\/o))\/o*o*o*o)\/o)\/o)**20 assuming o is positive.\nAnswer: o**(465\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 345734\/5 at least 69146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2315, -4600, -6821, -8948, -10951?\n\"Answer: 5*x**3 + 2*x**2 - 2326*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6 and 1\/43.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2864838 and 282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1, -3\/7, -115, 0.2 in ascending order.\nAnswer: -115, -1, -3\/7, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 14 = -4*i, -3*y - 3*i = -448 + 457 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(1134) + sqrt(1134)*-3 + sqrt(1134) - sqrt(1134)))\/(5*sqrt(448)).\nAnswer: 19*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.95 - -431.05. Let a = l + -423.52. What is a rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -563 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 18 = -48. Which is the third biggest value? (a) l (b) 0.03 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 194, 354, 794, 1658, 3090, 5234, 8234?\n\"Answer: 24*n**3 - 4*n**2 + 4*n + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-14))\/225*-2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1054\/8 + (-4)\/(-16). Suppose -24 - y = -3*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 146?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 222791323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.8. What is the second smallest value in -1.3, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2209926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 337\/71797?\nAnswer: 337\/71797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.33 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1568389551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3049741?\nAnswer: 30497410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 - o - 2. Let a be (16\/(-24))\/((-1)\/(-3)). What is the remainder when a*(1 + 22\/(-4)) is divided by u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-1768) - (-2 - -2). Let t = x - 461\/8840. Is t equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + sqrt(363) + 4 + sqrt(363))*-3.\nAnswer: -66*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from oaaao.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-4))\/(2\/2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-240)\/35*(-161)\/(-46). What is the nearest to -2 in -1\/5, -2, u, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3*(-24)\/20. Let p be (8\/(-60))\/(k\/(-5)). Let u = 1098 + -1070. Sort u, 4, p.\nAnswer: p, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 16\/5 (c) -0.4 (d) -67\/2 (e) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 8*n + g = -17, -5*n - 4*g = -103. Suppose 29*h = n*h + 18530. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 3*a**2 - 2*a - 1. Let l be k(-2). Let p = -1 - l. Let t = p + 4. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6 + (-52)\/(-24). Suppose -3*u - 5*f + 32 = 0, 4*u - i*u = -f + 12. Solve -6*k + 4 = -u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) - 6*sqrt(336)*2)\/((5*sqrt(700))\/sqrt(4)).\nAnswer: -44*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-65)*-4*(-35)\/42?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161431 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: Let t be ((-3490)\/(-12) - -1) + (-1)\/(-3). Let p = t - 293. Let q = 73 - 72.5. What is the fourth smallest value in q, -0.5, -3\/5, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)\/((-10)\/(-6)). Let h(r) = -5*r + 2. Let u(d) = -14*d + 6. Let l(b) = 17*h(b) - 6*u(b). Let y be l(-4). Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2554*u - 2791*u - 2189*u - 407592 = -1540*u for u.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 + 204.89. Let t = x - 0.49. Put -0.3, 8, t in decreasing order.\nAnswer: 8, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22285957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104467, 3, 2, 8, 5 in ascending order.\nAnswer: 2, 3, 5, 8, 104467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 2*l**3 - 7*l**2 - 12 - 9*l - 13*l**2 + 5*l**2 + 24*l**2. Determine h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -29*q**2 + 8*q + 20. Let y(f) = 4*f**2 - f - 3. Let u(r) = l(r) + 7*y(r). Let z(p) = -p**2 - 4*p + 6. Determine 3*u(d) + z(d).\nAnswer: -4*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 114\/(-30))*(1 + -1). Solve z*t + 4*k + 2 = t, t - 2 = 5*k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12421870 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -271*w. Suppose 2*u + 18 - 22 = 0. Let j(n) = 51*n**2 - 30*n**2 - 23*n**u. What is j(k(p))?\nAnswer: -146882*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -37. Let v be (-3)\/9 - (-256)\/12. What is the lowest common multiple of (-8)\/(-12) + 28\/v and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 191*l - 31. Let r(i) = -38*i + 6. Let j(d) = -4*n(d) - 22*r(d). Let f be j(2). Let t = f + -68. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/113 - 252\/1469. What is the second biggest value in 12, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k**2 - 5824*k - 11652. Calculate j(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) -2\/3 (c) -9.235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y**2 - y + 1184. Suppose 5 = 5*v - 5*u, v - 3*u = -0*u + 3. Let h be o(v). Suppose 5*i = i + h. What is i rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1003536 and 126957.\nAnswer: 420481584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) 3\/14 (c) 0 (d) -29 (e) -4\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6292)\/(-21) - 4\/12. Let c = b - 4259\/14. Calculate the common denominator of c and 101\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2356 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17104 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -50 (b) -2\/15 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -0*q - 11*q. Let b(y) = -41*y - 1. Let u(d) = 10*d. Let s(n) = q*b(n) + 9*u(n). Let h(l) = -12*l + 3. What is 5*h(x) + 8*s(x)?\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 886 + -1534. Let w = n + 648.4645. What is w rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**5 + o**4 - o**3 - o - 2. Let q(a) = -5*a**5 + 53*a**4 - 58*a**3 + 2*a + 4. Let n(h) = 2*b(h) + q(h). Factor n(m).\nAnswer: 5*m**3*(m - 1)*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/4 + 29*q**3\/4 + 26*q**2 + 25*q = 0.\nAnswer: -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 19353, -3\/4, 8.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -635*p + 57195 - 57195 as b*p + f and give b.\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 334, -3 in descending order.\nAnswer: 334, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = -5*i + 35, -5*r + 8 = -4*i. Let a(t) = 4*t**2 - 1 - 2*t**2 + 3 - 3 + i*t. Calculate a(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f + 750 = -4*f. Suppose -f*c - 2760 = -10485. What are the prime factors of c?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + (sqrt(7) - (sqrt(7) + -1*sqrt(7) + 1))).\nAnswer: -10*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -0.170286445866?\nAnswer: 10.170286445866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10 - 9)*(-5*n + 4*n + 0*n**2 + 2*n**2).\nAnswer: 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -54324?\nAnswer: 54319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1671*-44.648.\nAnswer: 74606.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 22*r + 52. What is the units digit of p(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/2520)\/(1\/7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {x: 2, v: 5, t: 1, j: 6, e: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 2178.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.95 times -0.2407?\nAnswer: -1.191465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-17 + 7 + 28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42396700 and 16572?\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 435283925 to the power of 1\/2, to the nearest integer?\nAnswer: 20863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220441.\nAnswer: 13, 31, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 290 and -20.\nAnswer: -5800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -6 - 0) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h. Let z be n(-1). Let x(k) = -k**3 - k**2 + k. Let r(s) = -4*s**3 - 6*s**2 + 6*s + 3. Determine z*x(c) + r(c).\nAnswer: 2*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4901?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**4*i**5)\/(i*(i*i**(1\/10)*i*i*i)\/i*i**0) assuming i is positive.\nAnswer: i**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48916403 rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 2, l: 3, b: 3, a: 1, f: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k - 5. Let q = k - 5. Suppose -2*y - 2*o + 0*o + 28 = 0, -2*y - o + 25 = q. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3283\/5? (a) 2 (b) 0.6 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + 1876\/42. Let n be ((-4)\/(12\/9))\/(-1). What is the second derivative of h*j + 8*j**3 - 9*j + 0*j**n wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a = 3*n + 289, 2*a = 4. Let h = n + 112. What is the remainder when 37 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 193, 312, 465, 664?\n\"Answer: 2*i**3 - i**2 + 86*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 76, 146, 246, 382, 560?\n\"Answer: p**3 + 6*p**2 + 21*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/2*(-2)\/3. Suppose b + 13 = q + u*q, -5*b + 5*q + 10 = 0. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 12:35 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 946331, 946328, 946325, 946322, 946319, 946316?\n\"Answer: -3*g + 946334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24572 - 196293\/8. Let g = m - 285\/8. Let k be 2\/2 + 8\/(-9). What is the closest to g in k, 0.4, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000 and 250220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**2 + 148*u + 544 wrt u?\nAnswer: 4*u + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443823 is divided by 119?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + 8\/3. Suppose -27 = o*l - 1. Let c = l - -18. Calculate the remainder when 7 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 2*o - 2 + 1\/15*o**6 - 5\/18*o**4 + 2\/3*o**2 + 1\/30*o**5 - 1\/9*o**3. Let u(p) be the first derivative of i(p). Solve u(z) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let o = -5 + 7. Let h(t) = -1 - o*t + 1 + 0. Calculate h(a(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 0. Let i be ((-2)\/8)\/(3\/8). Put i, a, 5 in increasing order.\nAnswer: i, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2230*f + 3673 + 18627 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.99 - 0.01. What is the biggest value in d, -4, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28227796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x. Let s(b) = -b + 3. Let q(m) = -2*m + 5. Let g(r) = 3*q(r) - 5*s(r). Determine g(y(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1692, -3307, -4922, -6537, -8152, -9767?\n\"Answer: -1615*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - 1352*d + 451*d - 1136 + 452*d + 449*d as b*d**2 + l + o*d and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 4. Let u(d) = 22*d - 26. Let h(g) = -7*g + 8. Let w(m) = 7*h(m) + 2*u(m). Give 4*a(q) + 5*w(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 452151530 - -15?\nAnswer: 452151545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klqllqkqlqklkl. Give prob of sequence llq.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27273, 54564, 81865, 109182, 136521?\nAnswer: 163888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 3 - 3)*(-3 + 1 + 0)*(-1531 - 860 + 1895) as f + y*d and give y.\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t - 8. Solve 11 - 3 = -t*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/30 and -23\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -374 - -383. Let g be 4\/(-6)*(c + -3). Put g, -19, -2 in increasing order.\nAnswer: -19, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 39*y. Let r(k) = -78*k. What is 5*l(g) + 2*r(g)?\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 85550 = 4*r + 85537, 2*a - 14 = -3*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.07, -880\/3253 in descending order.\nAnswer: 1, 0.07, -880\/3253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/12)\/4)\/(8\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 3. Let c(f) = 6*f - 14. Calculate -4*c(o) + 22*w(o).\nAnswer: -2*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 31. Suppose -u + 4*p = -9 - s, 5*u + 4*p - 116 = 0. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208035892 or 208035893?\nAnswer: 208035892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*g**3 + 324*g**3 - 182*g**3.\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -12 - -26) + -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/62)\/(6\/(-12)) - 90\/1488\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/4)*x*x*x**9 assuming x is positive.\nAnswer: x**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 105\/29151326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/4 - 4*n**3\/3 - 3*n**2\/2 + 1. Let t(f) = 2*f + 4. Let p be t(-4). List the prime factors of k(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 336. Let b(h) = -12*h**2 + 2. Give b(a(q)).\nAnswer: -12*q**2 + 8064*q - 1354750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + r**2 + r. Let w(b) = 5*b**3 - 2*b + 1. Let i(d) = -w(d) - 3*y(d). Calculate i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*l = 8 - 10, 3*l = -12. Let t(s) = -w*s + 0*s - 4*s + 7*s. Let m(f) = 4*f**2. Determine m(t(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 - 4 = a, -a = 4*l - 1. Put 5, 2, a in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 418*q - 2009. Determine d(144).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*o = 4859 - 23686 - 36397 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 2\/15 (c) -2 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*u + 15, 5*u + 3 = 5*q + 28. Suppose q*k - 20 = -5*k. Let w(a) = 14*a - 2. What are the prime factors of w(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from illiii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39516 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.6 and 1?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*86.74.\nAnswer: -6.9392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 12 = 4*v. Let z be (-106407)\/(-28) + 2\/v. What is z rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:56 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 213205 (base 6) in base 9?\nAnswer: 26085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -84*b - 4. Let x(i) = -2035*i - 95. Determine 145*l(n) - 6*x(n).\nAnswer: 30*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 530*u**3\/3 - 70*u - 2994. Let a(b) = 23*b**2 - 3. What is 70*a(c) - 3*h(c)?\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*c, 0*m + m + c - 5 = 0. What is the second smallest value in m, 1\/7, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-511)\/146.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*o + 392 - 326 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 4*k + 3*k)*(3*k + 0*k - 6*k)*(62 + 5*k**2 - 62).\nAnswer: 45*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21476\/3 equal to 7160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 13 = -5*w - 6*b, 0 = -2*w - 2*b + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 50. What is the nearest to 1\/3 in x, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2. Let w = 2 + 0. Let g(f) = -4*f**2 - 3*f**2 - f**w + 9*f**2. Determine b(g(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123259*b*t**4 - 5*b*t**2 - 2978*b*t wrt t.\nAnswer: -2958216*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:10 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11412 + -11407. Let g(y) = 2*y**2 + 7*y. Let s(j) = -j**3 + 3*j - 6*j**2 - 18*j + j**2. Determine z*g(x) + 2*s(x).\nAnswer: -2*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -2) + 10 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(2\/23)*(v\/((v*v*v**(-2\/7)\/v)\/v))**20 assuming v is positive.\nAnswer: v**(12434\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*x - 24, -4*q + 2*x - 4*x = -20. Let w = -9 - -13. Are w and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -1\/7, -0.4, -5\/13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v + 4 = 2*s, s + 12 = 4*v. Suppose -5*r - y = -3*r - 9, 5*r - s*y = 29. Solve -2*b = 2*w + 16, -r*b - 24 = w - 0*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -9*o + 35. Let d be 6\/(-21) - (-1469974)\/o. Suppose -3*g + d = -4*j, -g = -4*j + 7821 - 77817. What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 210. Let i = 42 - n. Solve i*p**3 - 1\/8*p**5 + 0 + 0*p**2 + 0*p + 1\/8*p**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(2*sqrt(12)) + (sqrt(3) - sqrt(768)))**2 + 0.\nAnswer: 2523\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/5 - 33*t**4\/5 + 108*t**3\/5 - 48*t**2\/5 - 192*t\/5 = 0. Calculate t.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1734603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.94699kg to micrograms.\nAnswer: 38946990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**4 + 4902*b**3 + b - 1138940 wrt b.\nAnswer: -8*b**3 + 14706*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67463489 to the nearest integer?\nAnswer: 8214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 15) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850 = -w - 4*w - 5*t, -3*w + 3*t = 480. Let g = w + 165. Is g at most as big as -4\/337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03163 times -0.349\nAnswer: 0.01103887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z - f + 187, 2*z = 5*f + 137. Suppose -51*n + z*n = 240. Calculate the lowest common multiple of n and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.2318 years in months?\nAnswer: 8210.7816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -53171 (base 8) to base 12\nAnswer: -10989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-1)\/(-1)))\/(242\/121).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2621?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/5, -7, 1.7, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21526*m - 1942808 = 21518*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 15. Let p be a(-6). Solve l - 10 = 3*l, p*t = -5*l - 31 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*z**6 + 2*z**4 + 39*z**3 - 8879*z**2 + 2 wrt z?\nAnswer: -1680*z**3 + 48*z + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4829385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.7 - 9.72. Let v = -0.02 - s. Which is smaller: v or 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let c be h(-3). Let y = -7 - c. Suppose 3*g + 2*d + 22 = -g, -2*g + 2*d = 8. Sort 0, g, y.\nAnswer: g, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 20, -d - 4*d - 25 = 4*z. Solve z = -4*j - 9 - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1056838 divided by -2\nAnswer: -528419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from zjzzjzzzjzzzjjzz?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -845002, -845004, -845006, -845008, -845010?\nAnswer: -845012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o = 4*b - 8*b + 461 + 87, 0 = -5*o + 2*b + 110 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssggsgyeigssssissg. Give prob of sequence yi.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and 35\/219.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l + 3*l + 8*l)*(0 + 0 + 10*l**4).\nAnswer: -80*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 + 3*z**2 - 7*z + 4. What is the remainder when i(2) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9210791 + 4.9179. What is k rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1617396.\nAnswer: 22643544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 5, g: 3}. What is prob of picking 2 k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1680448*a - 36969861. Calculate h(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(91) + 2*3*sqrt(91))\/(-4*(sqrt(700)*2 - sqrt(700))*-2).\nAnswer: sqrt(13)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7701 + 38501\/5. What is the nearest to -20 in p, 20, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + -10e0?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 + 590*y**4 - 1165*y**3 + 580*y**2 = 0. What is y?\nAnswer: 0, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -725\/7 + 103. Sort -1\/7, r, 0.2 in descending order.\nAnswer: 0.2, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 6, 51, 846, -3 in descending order.\nAnswer: 846, 51, 6, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -433*m + 9521. Calculate n(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918 is divided by 173.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = -6. Let b be (-20)\/6*(-18)\/(-15). Let z = -1531 + 1534. Sort a, b, 8, z in decreasing order.\nAnswer: 8, a, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 8274746*a\/9 - 919416.\nAnswer: -2*(a + 1)*(a + 4137372)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228705*s - 4*s**2 + 114353*s + 114352*s - 41.\nAnswer: -4*s**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 1:00 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (-2)\/1)*7\/14. Which is the biggest value? (a) 1.5 (b) 2 (c) 4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-13 + 11) - 1*6. Differentiate 7*d**x - 11*d + 155*d**4 - 156*d**4 - 205 + 4*d - 7*d**3 with respect to d.\nAnswer: -4*d**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195.83 + 2.17. Let t = 195.83 - z. Round t to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdhy when four letters picked without replacement from {m: 11, y: 2, h: 3, d: 2, e: 1}?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 139033400547*z**2 - 139033400547*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 - n**2)*((2*n - 2*n + n)*(4 - 4 + n) - 86 + 18*n**2 + 86)*(-2 + n + 2).\nAnswer: 19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 3, 42 in decreasing order.\nAnswer: 42, 3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -600*j**2. Let i(h) = 838*h**2. Determine t(i(z)).\nAnswer: -421346400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008801 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*p**3 - 4*p + 4*p + 293*p**3 - 363*p**3.\nAnswer: -512*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Let i(k) = 11*k**3 + k**2 - 1. Let w be i(x). Suppose 0 = -3*u + w - 2. Solve -4*a = -4*n + 4, 0 = 5*a - u*n + n - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m + 4. Let w(n) = -11*n - 9. Give 9*p(a) + 4*w(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 220473 and 0.09?\nAnswer: 19842.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.32494 - 0.32494. Sort -4\/5, b, 3\/2656 in descending order.\nAnswer: 3\/2656, b, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 = -2. Let a = 4 + k. Let l = -2 + a. Calculate the remainder when 1 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.79 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**(-1\/2))\/g))**(-2\/13))**(25\/2)*((g\/((g*g**(-3)*g)\/g*g))\/g**2)\/(g**4*g**0) assuming g is positive.\nAnswer: g**(-129\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 15489*o - 15656*o + 1)*(-21 - 17*o + 7 + 12) to h + g*o + z*o**2 and give z.\nAnswer: 2839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, 1 g, and 1 d when four letters picked without replacement from xddcgddggdgdc.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756498 - 1300*z**2 - 2*z**3 - 756498.\nAnswer: -2*z**3 - 1300*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -454.77\nAnswer: 3183.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322, -1, 2 in ascending order.\nAnswer: -322, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 91. Let y = b - -60. What is the second biggest value in y, 4, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202 - -104?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*n - 102953 = 53581, 5*m = 5*n + 391365. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 0.03, -2, 0.1, -2\/9, -20, 18?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (40 - 38) + (0 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 2, y: 1}. What is prob of picking 2 y and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5615 = -27*b - 755. Are b and 178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:00 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/5, 63, 2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1347 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 6\/3285659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1432 and 25\/11.\nAnswer: 15752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6723 - -bb?\nAnswer: 6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Let m = 150 + -493\/3. Calculate the common denominator of 118\/(-6) - (0 - b) and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 5*n + 10. Let m(g) = -10*g**2 + 12*g + 24. Let f(z) = 12*k(z) - 5*m(z). Let j(h) = 0 + 576*h**2 - 553*h**2 + 0. Determine j(f(l)).\nAnswer: 92*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 23. Suppose -6*v - u = 14. Let n(c) = 3*c - 2. Let r(z) = 4*z - 13 - 20 + 31. Determine v*r(j) + 5*n(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) + (-4264)\/(-130). Suppose -m = -5*d + 2*i, 0 = -3*i + 5 - 17. Solve 3*w + 8 = -d*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**3 - z**2 + 3*z + 1. Let m be (-2 - (0 - 1))*-3. Let i be t(m). Let o = i - 97. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157823*h**3 + 191902 wrt h.\nAnswer: -473469*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10769, -85844, -289575, -686270, -1340237, -2315784, -3677219?\nAnswer: -5488850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:40 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 h, and 1 w when four letters picked without replacement from {w: 1, h: 1, e: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*m - 2*z - 0*z, 3*m - 5*z = 25. What is the third derivative of -49*k - 12*k**5 + 49*k + 22*k**2 - 9*k**m wrt k?\nAnswer: -1260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 14*u**2 - 20*u + 13. Let g(b) = -4*b + 3. Calculate 20*g(c) + 3*q(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4186 and 120302.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. What is the common denominator of (i - 38)\/(4\/4) and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36541226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*v**2 + 864*v**2 - 4281*v**2 to f + k*v**2 + u*v and give k.\nAnswer: -3553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - 1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*7\/1470)\/((56\/(-6))\/4).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + -25 + 22 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7.7. Let z = v - -5.7. Put z, -2\/9, 1\/6 in decreasing order.\nAnswer: z, 1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8 - 7686419\/(-228876).\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 14*h + 1 = -9*h, -3*x = 2*h + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 360735*g**4 - 9130 wrt g?\nAnswer: 1442940*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-22)*1\/3. Let n = -20 - -75. Let k be n\/(-35) + 8 + -1 + -5. Put k, a, -0.4 in ascending order.\nAnswer: -0.4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 10. Suppose 48 = 3*y + 48. Calculate p(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*o + 22, -73*o + d = -75*o. Let u(r) = 642*r + 37. What are the prime factors of u(o)?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6160000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210142 or 12818640\/61?\nAnswer: 210142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/2 + 567609*i\/2 - 1135226 = 0. Calculate i.\nAnswer: -567613, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1733 smaller than -1733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j - 10. Give n(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13006132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/5 - 42*s**2 + 1389*s\/5 + 1596\/5 = 0.\nAnswer: -76, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*m = 4708 - 964 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/20 + 2*w**3\/3 - 4*w. Let i(g) be the third derivative of g**6\/40 - 3*g**4\/8 - 3*g**2. Calculate -9*f(o) - 4*i(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - k = 24 - 13, 49 = 5*j - 4*k. Let f be 2\/4 - (-3)\/(-6). Suppose p + 2*p - 266 = -2*w, f = -3*w - j*p + 398. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0)\/p**3 assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/17 (b) 2.225 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 20227.33 years?\nAnswer: 20.22733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Suppose -4*x - 5*v + 11 = 0, 2*x - m*v = 5 - 16. Let n be 9\/(-1 + 4) - 3. Sort 3, x, n in ascending order.\nAnswer: x, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19232 is divided by 688?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.4 + -21.1. Let k = f + -11.4. Which is smaller: k or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(700) + -2 + -1 + sqrt(700) + sqrt(700) + sqrt(700) + 3 - (sqrt(700) - (sqrt(700) + -2) - sqrt(700))*4*-1)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/(q**(2\/5)\/q))\/q*q)**39*q**(2\/9)\/((q\/q**(1\/3))\/q))\/((q*q**0*q)**(-38\/3)\/((q*q*(q**0\/q*q)\/q)\/q)**19) assuming q is positive.\nAnswer: q**(7483\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*(-71)\/6*-3. Let b = -1359 + m. What is b rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + -5 - -88. Let s(z) = -3*z**2 + z + y*z**3 + 4*z**2 - 44*z**3 - 42*z**3. Let h(c) = 4*c**3 - 5*c**2 - 6*c + 2. Give -h(u) - 5*s(u).\nAnswer: u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 + 2*k**2 + 50*k + 49. Let u be 1*(-26 - -11 - -14). Determine n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/4*u**4 - 2*u**3 + 1\/4*u**2 + 1\/2*u.\nAnswer: u*(u - 1)**2*(5*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7344)*1 + sqrt(51) - sqrt(816)*-1)\/((sqrt(300)\/sqrt(10))\/sqrt(10) + 1*sqrt(15)\/sqrt(5)).\nAnswer: 17*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 1. Let v be x(-2). Let o(y) = 2*y**2 - 5*y - 5. Let d(k) = -2*k**2 + 6*k + 6. Let z(b) = v*d(b) + 6*o(b). Let n(i) = 6*i**2. Give z(n(m)).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 61\/6*w**3 + 0*w**4 - 67\/60*w**5 + 0 + 2*w**2 + 0*w. Differentiate o(k) with respect to k.\nAnswer: -134*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + p**2 - p + 3. Suppose 0*c = 3*c. Is s(c) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/117332 and -39\/100465525.\nAnswer: 401862100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.55965902 to four decimal places.\nAnswer: 2.5597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and 2?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1))\/((-3)\/3). Let g be 0 + r\/(-2)*-2. Solve -3*p - g = 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 481.4 in 3\/5, 161\/6, 4, -4?\nAnswer: 161\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33\/22*2354\/33 and 11.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9788.47 to the nearest ten.\nAnswer: -9790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 0.05, -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(198)*1*-6*-5)\/(4*1*-2*sqrt(18)).\nAnswer: -15*sqrt(11)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15841638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 + 3*m + 2. Let v(i) = 9*i**2 + 5*i + 4. Suppose -11 = -l + 1. Suppose -6*t - l = -2*t. Let s be (1\/t)\/((-3)\/(-45)). Give s*h(d) + 3*v(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -6*v + 4. Suppose a - 2*w = -3*w + 7, v*w = -3*a + 24. Suppose -2*h = -a*h + 4. Solve g + t = -g + 13, 5*g = -h*t + 30 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 6*t + 235. Let l = 116 + t. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 + 232*y**4 + 2160*y**3 - 7912*y**2 + 8396*y - 2880 = 0. What is y?\nAnswer: -45, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 10) in base 6?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**3 - 6*d**2 + d - 6. Let w(x) = 41*x**3 + 17*x**2 - 3*x + 17. Give -17*v(y) - 6*w(y).\nAnswer: -8*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Calculate the lowest common multiple of j and 105 - 108 - (-209 - -5).\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - y + 1. Let v be k(-1). Solve 0*x = v*c + 4*x - 10, -31 = 3*c - 5*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -97? (a) 6 (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -14. Is 24 a factor of c*24\/15*35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046466 rounded to four decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1403, 2789, 4177, 5567, 6959, 8353, 9749?\nAnswer: 11147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6482?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 9:53 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, q: 4, o: 1, l: 2, v: 1, x: 2}. Give prob of picking 2 q, 1 l, and 1 b.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1522698 divided by -1083\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:00 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2497622*a**2. Let c(o) = 43*o**2. What is c(q(l))?\nAnswer: 268238973160012*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/10)\/((-6)\/(-12)). Solve -3*c = 5*y - 14, -p*y - 5*c + 9 + 1 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45969 to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 975\/(-175) + (-4)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411705 is divided by 461?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -2318, -3, -6 in ascending order.\nAnswer: -2318, -6, -3, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 6*o**5\/5 + o**4\/3 - 6*o**3 + 4*o**2 + 8*o\/3 + 7. Let u(a) = 0. Calculate a.\nAnswer: -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219 - 57\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*224\/32.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 183 (b) 2\/17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4052, 32710, 110594, 262316, 512488, 885722, 1406630, 2099824?\n\"Answer: 4102*m**3 + m**2 - 59*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404 and 2074742.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 14. Let h be q(-10). Let y = 124 - h. Let v(c) = 3*c**3 + 2*c**2 - 2. What is the remainder when y is divided by v(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5193878 is divided by 45164.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = -4*n, -4*n = -2*n + l - 1. Let q be (5\/(-2) + n)*-2. Calculate the highest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*((-1)\/(18\/186))\/(6\/(-9)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b4542 + -c?\nAnswer: -6b4551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3*u - 2)*(2 - 1 + 1) + (-1 + 0 - 1 + 1 - 3 + 3 - 3 + 4 - 2 + (-1 + 2 - 2)*(3 - 4 + 2) + 3 - 3 - 2 + 2 - 6 + 3)*(2*u - 4*u + u))*(9 + 2*u - 9).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.031?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*r = -3*r + 38, 34 = 4*d + r. Let v be (d\/(-6) + 1)\/(2\/(-30)). Let j(u) = u**3 - 2*u**2 + 6*u + 10. What are the prime factors of j(v)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.028949l?\nAnswer: 6028.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31\/27 - -149\/270. Calculate the common denominator of -62\/25 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 - -8 - -84) + (0 + -63 + -4 - 1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017222 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*u = -121*u + 272. What is the lowest common multiple of u and 42?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2318544726 and -0.134.\nAnswer: -2318544726.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/9 + 32*o\/9 - 512\/9.\nAnswer: 4*(o - 8)*(o + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127378397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from lllllggllgglgggglllg.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 0.4, 43\/109, -1\/11 in descending order.\nAnswer: 3, 0.4, 43\/109, 0, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536200 is divided by 533.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29160, 58089, 87016, 115941, 144864, 173785, 202704?\nAnswer: 231621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(2\/7)\/m)))**(2\/65)\/(m**(-1\/3))**(-2\/7) assuming m is positive.\nAnswer: m**(-32\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 9) in base 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76867069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12967*l**2 - 9*l + 594?\nAnswer: 25934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-46)\/(-6) + -9)\/(12\/(-45)). What is the highest common factor of 535 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 11. Calculate z(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-1))\/j**(-8))\/(j**(-2)*j**0\/j)*(j*j*j**2*j*j*j*j**(-11))**(-18\/11) assuming j is positive.\nAnswer: j**(226\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76215 = 17*n - 89035 - 16157. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25535088 and 63342.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63347612, -63347608, -63347604?\nAnswer: -63347600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862861?\nAnswer: 862861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i**4\/11 - 1752*i**3\/11 - 34974*i**2\/11 - 149880*i\/11 + 186600\/11 = 0. Calculate i.\nAnswer: -10, 1, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10688 + 3488. Round w to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 1261070?\nAnswer: 1261070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1546132133 to 5 decimal places.\nAnswer: 0.15461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -91a9749?\nAnswer: -91a9748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 675*q + 1362. Let r be x(-2). What is the closest to 1 in -11, -1, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-11)*2\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2\/18015?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71200466 to the power of 1\/2, to the nearest integer?\nAnswer: 8438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 + 3*k**3 + (2*k - 3 + 3)*(-3*k**2 + k**2 + 7*k**2) + (3*k**3 + 2*k**3 + 6*k**3)*(-4 + 4 + 1) in the form o + p*k**2 + u*k + z*k**3 and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3259577*n**3 - 276*n**2 - 1025*n.\nAnswer: -19557462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 1 (b) -0.1 (c) 293 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3221 is divided by 1607.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 + 157. Let d = -42 + h. Let j be d - 3 - 0\/(-1). Solve j = w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267996157\/38 - 7051800. Let s = 731 - i. What is the common denominator of -67\/100 and s?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -268?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/4 (b) -12 (c) 0.2 (d) 35 (e) 4\/9 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3219981\/47 - 68505. Let j = -1071029389\/470 - -2278787. Let q = j + m. Calculate the common denominator of q and -65\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44864 < 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082852 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/11822 and -119\/10.\nAnswer: 59110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -101*g**4\/2 + 721*g - 1606. What is the derivative of k(p) wrt p?\nAnswer: -606*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b4 (base 13) in base 8?\nAnswer: -745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(425) + ((sqrt(425)*2 + -2)**2 - sqrt(425)) + sqrt(425).\nAnswer: -35*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 + 3*x + 35. Let n(j) = -j**3 - j**2 - j. Determine -3*n(d) - o(d).\nAnswer: 2*d**3 - 5*d**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*h - 916 = 0, 2*u + 2290 = 7*u + 5*h. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = -4*p + 2*z, -5*p = -3*z + 10. What is the units digit of 28\/(-3)*3\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -257?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 21 - 3. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -7) + 34 - (102 + -80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 - 21*z**2 + 7*z + 9. What is the tens digit of r(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hihiiihiii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31535, -45803, -69585, -102881, -145691, -198015?\n\"Answer: -4757*l**2 + 3*l - 26781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxux when four letters picked without replacement from {x: 2, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53372 by -11.\nAnswer: -4852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320.38 - 323. Let m = h + 2.62000481. Round m to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*m - 18 = 0, 0*m = -4*s + m + 61. Let l be ((-8)\/(-6))\/((-1)\/s). Let q be 1\/(-2) - 22\/l. Which is the smallest value? (a) 1\/6 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101000000 - -110000?\nAnswer: -1110100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 0 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-9 + 4 + 5 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449660172, -449660175, -449660178, -449660181, -449660184, -449660187?\nAnswer: -449660190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmtu when four letters picked without replacement from {t: 8, u: 2, m: 2}.\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-139)\/(-52) + (-128)\/(-1664)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohimbmmzzbimbbzmi. Give prob of picking 1 o, 1 h, and 1 m.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -503400 rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 363801, 727604, 1091407, 1455210, 1819013?\n\"Answer: 363803*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5034 and 37?\nAnswer: -186258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -17. Let l = 71.77 - 72. Let n = -0.53 - l. Which is the closest to -1\/4? (a) q (b) 2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276 - -278. Solve 4*t = j + 12, -3*t + 0*j - j + p = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 - s**4 + 3*s**4 + (17*s - 33*s + 0*s)*(2 - 3*s**3 - 2 - 6*s + (-2*s + s**2 + 2*s)*(86 + 23*s - 86)).\nAnswer: -318*s**4 + 96*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x. Let i(z) = -3*z - 1. Let v(b) = -2*i(b) - 3*s(b). Let y = 59018 - 58859. What is the remainder when y is divided by v(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.5, -0.4, 0.024, -1\/4, -7.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -5, 1.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48447, 387631, 1308289, 3101157, 6056971, 10466467?\n\"Answer: 48456*b**3 + b**2 - 11*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -20 - (2 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 4:39 PM?\nAnswer: 649","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round 3120000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 6. Let x(y) = -6*y - 12. Let g(b) = -11*f(b) + 6*x(b). Calculate the remainder when 33 is divided by g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 348*t - 141057 + 107301 for t.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30445.\nAnswer: 5, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**4\/5 + 564166*k**3\/5 + 1090764*k**2 + 2444850*k - 940325 = 0.\nAnswer: -5, 1\/3, 188065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r**3 + 4*r**2 + 0 + 0*r - 1\/60*r**6 + 0*r**4 + 0*r**5. Let q(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p**3 - 2*p**2 + 1. Suppose -4*w - 4*s = -0*w + 24, -27 = 5*w + 4*s. Let g = w - -4. Is d(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 - 78. Solve 0 = -2*w - 4*t - 16, w + 7*t = 2*t - y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05025, 4.462, -1\/4 in decreasing order.\nAnswer: 4.462, -0.05025, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) 2\/7 (b) 4 (c) -4 (d) 2\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + 3\/((-3)\/2). Let w(t) = 0*t**2 - 6*t - 8 + t**2 + 1. Let d be w(y). Do -2\/5 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y**2 - 4*y + 5. Let w = -7 + 15. Let d be ((-2)\/w)\/(1\/(-20)). What are the prime factors of j(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 4*z + 16, 3*o + 5*z - 2*z + 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/408 - 21968\/(-34). Let l = p - 457. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7175 - 35877\/5. What is the closest to 1 in s, -99, -2\/3, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -0.163\nAnswer: -1.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 13*y - 36. Let s be v(8). Which is the closest to s? (a) 1 (b) 0.1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693198616 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, s: 1, r: 1, y: 1, h: 2}. What is prob of picking 1 s, 1 k, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 4*-9*(-15)\/12?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -198*j**2 + 7*j + 8. Calculate g(-1).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67628 and 393820?\nAnswer: 229597060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k - v = -14, -5*k = -3*v - 24. Suppose -k*m = -m - 5. Let i = -3.1 + 3. Which is the closest to i? (a) m (b) -2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.8, 3, -2\/9 in descending order.\nAnswer: 3, 1, 0.8, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6729274 by 2.\nAnswer: 3364637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -19*l**2 + 7804*l - 21233. Give j(408).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246 - -249. Put -33, s, -1 in increasing order.\nAnswer: -33, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + -524*4\/36. Let v = a + 62. Suppose 2*k = -4*s + 3962 + 864, 0 = k + v*s - 2415. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83074 and 4494026.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -201131312300 (base 4) in base 15?\nAnswer: -b84645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 2*j + 34*j**2 - 5*j + 5*j - 67*j**2 + 0*j**2 + 27*j**2.\nAnswer: -6*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 6*r - 133. Suppose 8*z + 2*a - 3012 = 5*z, 5*a = -r*z + 2019. What are the prime factors of z?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Let q(m) be the first derivative of 2*m**3 - 3*m**2\/2 - 8*m - 9. Is q(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299) + -1)**2 + -1.\nAnswer: 22*sqrt(19) + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2597 - 1419. What are the prime factors of a?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23, 28, 33?\n\"Answer: 5*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2, 6\/7, -0.47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 31396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.3 (c) 14 (d) 51 (e) 0.051\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.6. Let h = 1.1 + n. Let y = h - 0.2. Which is the biggest value? (a) 3\/4 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 88154?\nAnswer: 88158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17a4 (base 14) in base 7?\nAnswer: -15264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-10 + -6 + 13) - -9 - 33?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = -5*c, 4 = -5214*c + 5213*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17)\/(c*c**1*c))\/(c**(-11)*c\/(c**(-2\/29)\/c)) assuming c is positive.\nAnswer: c**(-321\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-20 - -13) - -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 1, t: 1, q: 1, o: 1, p: 2}. What is prob of sequence psto?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4377*w = 4374*w + b - 15, -3 = b for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 x when three letters picked without replacement from utxuxi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -60*q - 399. What is the lowest common multiple of 15 and s(-7)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 13 - 6 = -0*j + 21, -4*h + 4 + 24 = -5*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 97*n + 92*n - 127797, 383429 = 3*s + 4*n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 774832 by -48427.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 + 3.7. Let z = -16523 - -16528. Which is the smallest value? (a) 4\/5 (b) z (c) -1\/2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229*t**4 + 7*t**3 + 228*t**4 - t**2 + 0*t + t to the form m*t + w + k*t**4 + z*t**3 + f*t**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15536*l**2 - 15156*l**2 + 30693*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/9 - l**3\/3 + l\/9 = 0 for l.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let i(n) = n**2 + 6*n - 6. Let f(w) = i(w) + 6*j(w). Let u(d) = 64*d - 10. Let q(b) = 44*b - 7. Let t(v) = -7*q(v) + 5*u(v). What is f(t(k))?\nAnswer: 144*k**2 - 24*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = j + 11. Let 0*g + j*g - g**2 - 9 + 0*g + 4*g = 0. Calculate g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*x + 5*m, 2*m = -5*x - 0*m - 29. Let s be 325\/(-35) - 2\/x. Calculate the remainder when 4 is divided by (-8)\/(-36) + (-16)\/s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -181 - 2 - (0 - 3). Let g = s - -181. Solve -5*j = x - 4*j + 9, -21 = x + g*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeejeeeje. Give prob of picking 2 e and 1 j.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/3 + 406\/180*-2 and -3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1213, -5, -3 in descending order.\nAnswer: 7, -3, -5, -1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013186077 to 7 dps.\nAnswer: 0.0001319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*k**4 + 8 - 8)*(5 - 125 - 84 + 48).\nAnswer: -4056*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -9 + x - 1\/2*x**2. What is j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - -24?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 300 = -14*l. Let r be (2588\/l)\/(1\/43). Let s = r - 1849. Find the common denominator of s and -47\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {x: 4, a: 3, t: 8, g: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.7. Let o = -4290 + 4288. Let x = 0.6 - -2.4. Sort x, o, g in descending order.\nAnswer: x, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 6. Let r(i) = 1. What is 30*r(c) + 5*v(c)?\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -3*u. Let y(q) = -2*q + 40. Let o be y(18). Suppose 2*k - 162 = o*x, 0 = -5*k + 5*x - u*x + 397. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 7*i + 5. Let s be v(-7). Suppose w + 3 = -b + 6, 4*b - 5*w = 3. Suppose -2*d + 4*k = b*d - 60, 25 = -s*k. Solve 3*u = 4 - d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 17*t**3 - 1. Suppose 4*q = q + 3. Suppose -m + 8 = 2. What is the smallest common multiple of m and d(q)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiupuucuocui. Give prob of sequence cip.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from xiirxppipp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 2*p**2 - 10*p + 7. Let x be z(4). Let i be 3\/6*x*-14. Solve i*l - 12 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**0*v)**15)**(-2\/101))**15)**(-17\/2) assuming v is positive.\nAnswer: v**(3825\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 3139*l**2 - 6268*l**2 + 3131*l**2 + 2 + 0*l + 2*l + 591*l**3 to c*l**3 + j*l**2 + f + g*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 1. Let t(r) = -8*r - 4. Let b(v) = -18*g(v) - 2*t(v). Does 6 divide b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {a: 2, y: 4, h: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2 + 23*b**3 + 4*b - 22*b**3 + 3*b + 7*b**2. What is t(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + v**2)*(4242*v**3 + 4119*v**3 + 40*v - 8211*v**3).\nAnswer: 150*v**5 + 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 362 + -28. Suppose 3 = 3*m, 3*x = -5*m + 272 + 33. Let f = x - 76. What is the remainder when h is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 9*l - 4*l - 71 + 7*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592091 is divided by 3178.\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d - 3*d)*(-309775 + 5112*d**2 + 309775) + 2*d**4 + 0*d**4 - d**4.\nAnswer: -5111*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.2 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) 9 (d) 4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r - 14. Let o(j) = 3*j - 3. Let t(f) = -11*o(f) + 2*s(f). Let n be t(5). Factor -2\/3*a**4 - 2\/3*a**2 + 0*a - 4\/3*a**3 + n.\nAnswer: -2*a**2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) -0.3 (b) -4 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000414118 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11760 divided by 28.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-165)\/(-159) + -1). Suppose -7 - y = 6*d. Let o = -5 - d. Solve -5*w - 4 = -3*g, 15 + 5 = o*g + 5*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -99*f - 17817. Determine j(-179).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - k**2 - k + 1. Let m(c) = 24*c**3 + c**2 + 3*c - 6. Give -4*d(q) - m(q).\nAnswer: -32*q**3 + 3*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595993836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28860\/(-55500))\/(13\/(-4)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28724 - -56025. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1905 times -4.1\nAnswer: -7810.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 - 2.2. Let l = -3 - -2. What is the closest to l in c, 0.5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/7 + 15096*s**2\/7 - 13207392*s\/7 + 440401280 = 0. Calculate s.\nAnswer: 484, 6580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 785000.\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1716254.\nAnswer: 2, 858127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = 158 - 176 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5661148 by 37.\nAnswer: 153004","meta":{"dup_signals":{},"source":"arithmetic__div_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 second derivative of 3464*n + 24*n**5 + n**3 - 3479*n - n**3 wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-15)*(n*n**(-32))\/n)**(2\/5) assuming n is positive.\nAnswer: n**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 59*s + 28. Let a be o(-29). Suppose 4*n + 22 = 6. Which is bigger: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 < -147489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*c + 882, d - 5*c = -d - 347. Calculate the least common multiple of 36 and 13\/(312\/d)*(-3)\/1.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s**2 - 1457*s + 4283. Calculate f(-100).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/(5\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611412826 to the power of 1\/3, to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = -31*f - 41 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from ncvcpvbrvnrvnb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(24)\/(sqrt(32)\/sqrt(4)) + sqrt(18)\/(sqrt(18)\/sqrt(3)))*5)**2 + 1.\nAnswer: 20*sqrt(3) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ityt. What is prob of picking 1 i and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/147 and -53\/21?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247053716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-13 - (-1 - -1)). Let q = -18 + k. Suppose 0 = -4*j + 20, 2*j - 16 + 3 = 3*f. Sort 0, f, q in decreasing order.\nAnswer: 0, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - y + 6 - 2, 0 = 2*y. Let h(m) = -m + 7*m - p*m + m**2 - 3. Let a be h(2). Calculate the highest common divisor of a and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 769250 - 1565649 = 0. Suppose -5*z + 5*d = -7*z + 54935, 5*z - u = -3*d. Round z to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803181.\nAnswer: 521, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42734*m**4*u**2 + m**3 - 2*m**2*u + 15*u**2 + 20*u - 14 wrt m.\nAnswer: -1025616*m*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/72 and 91\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (13279\/1092*2 - (-30)\/(-195))?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723 = -8*m + 893. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476378753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 255 + -232. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6436 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 13*w - 41. Let k be f(-8). Let j = 0 + 0.3. Let t = -13\/10 - -22\/15. Which is the closest to k? (a) j (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s + 5*s**3 + (s - s**2 - s)*(-s - 1 + 1) - 2*s**3 + s**2 - s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102 - 101122?\nAnswer: -120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 3, s: 4, y: 5}. What is prob of picking 4 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 - 176. Suppose 2*w = -3*w. Suppose w = -2*a + 3 + 7. Solve 0 = 5*r + g - 1, -a*g + v = 5*r + 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 34, 47, 58, 67, 74, 79?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946978314*c - 200*c**2 - 1946978314*c.\nAnswer: -200*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*k**2 + 61*k**2 + 23910*k - 23910*k.\nAnswer: -246*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:15 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6510\/(-279)*(-3)\/(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 14*m - 13. Let g be a(-11). Let h be (-15)\/6*(-16)\/g. Let o(s) = -3*s**3 + s**2 - 3. Let y(z) = z**3. Give h*y(b) + o(b).\nAnswer: -b**3 + b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + -0.43. Let u = 0.33 + f. Sort u, -5, 3.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*o - 4*w, 7*w = 4*w. Suppose -o*t + 108 + 88 = 0. Solve -7*g - 7 = t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317006, -316962, -316918, -316874?\nAnswer: -316830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 75 + 72 + 43 - a - 357 + 82. Let l(u) = -6*u**2 - u. Determine l(j(d)).\nAnswer: -6*d**2 - 1019*d - 43265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -1844734.\nAnswer: -63\/1844734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -0.308.\nAnswer: 3.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -0.02, -683, -0.5, -2\/13, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 20*h**2 - 5*h + 53. Calculate r(20).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = 96*k - 198 - 177. Sort -4, 638, k in descending order.\nAnswer: 638, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 3. Let h(q) = 2*q - 20. Let z = -31 + 38. Let d be h(z). Calculate c(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.76945 rounded to 0 decimal places?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-11 - 6) - 44 - 13) + -8.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23565478481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5 + 354*o**4 - 170*o**3 - 530*o**2 + 174*o + 176 = 0.\nAnswer: -1, -1\/2, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23978937 to the nearest integer?\nAnswer: 4897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34433291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 29 = q + 31, 15 = 3*q. Solve 10*w + 12 = a*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 3*o - 11*o + 12 in the form z*o + p and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*b = 18, 3 = -6*r + 3*b - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 56176.\nAnswer: 280880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 5*f + 5*f. Let x(g) = -3*g - 59 - 61 + 120. What is q(x(p))?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*-213\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2*s - 4*z - 24, 5*s + 5*z = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/3, 2\/5, -41, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 231*z + 140. List the prime factors of y(6).\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240 + 233. Which is smaller: g or -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 143588, 574367, 1292338, 2297501, 3589856, 5169403?\n\"Answer: 143596*p**2 - 9*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380365366.\nAnswer: 2, 5657, 33619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o = -2493 + 3468 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 3*x - 3. Let v be (0 - 2) + 3 - (-2 + 1). Is w(v) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102282 is divided by 14608.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -99 + -24 + 112 + (-2 - (5 + -2))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5174?\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t**(-12\/5)*t**(-3\/8)\/t*t**(2\/37)\/t)**(-1\/38) assuming t is positive.\nAnswer: t**(-7517\/56240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -166.287. Let o = l + -119.287. Let m = -119.000000187 - o. Round m to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 15, 3*d - 7038 = 4*l - 19309. List the prime factors of l.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68, -97, -128, -161?\n\"Answer: -z**2 - 26*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**2 + 5*v + 2. Let z(j) = j + 1. Let u(i) = l(i) - 5*z(i). Differentiate u(p) wrt p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - (0 + (1 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/3, 8, 1189, -2, 2\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 5b?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2) - -5*sqrt(20).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 60*j**4 + 3*j**3 - 3*j + 62*j**4 + 1 to r*j + b*j**3 + v + c*j**2 + x*j**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*b - 662 - 2*b**3 + b**3 + 662 + b**4 + 5*b**2 to the form d + o*b**2 + t*b + w*b**4 + m*b**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11010062 to the nearest integer?\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.002 (b) 24 (c) 3 (d) 2 (e) 0.5 (f) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/855092 and 53\/1343716.\nAnswer: 9406012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, e: 2, p: 2, z: 1, j: 5, h: 1}. What is prob of picking 3 j and 1 p?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 218717 = -74584 + 180774. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -257, -166, -75, 16, 107, 198?\n\"Answer: 91*i - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ddcdlddcddddddcddddd?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*g = -746*g - 60 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 14) to base 7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*k + 3 - 12, -5*u + 15 = 4*k. Let o = -7 + 5. Let b be 1\/(-3 - o - 3). Sort 1, k, b in descending order.\nAnswer: 1, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/8)\/n*n)\/n*n**(-7)*(n**(1\/4)\/n*n)**(-25\/4))**(-1\/3) assuming n is positive.\nAnswer: n**(151\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 171690b?\nAnswer: -171690b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -236*l**3 - 2*l**2 + 3. Let j(a) = -943*a**3 - 9*a**2 + 13. Give 18*i(g) - 4*j(g).\nAnswer: -476*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -198673816, -397347630, -596021444?\n\"Answer: -198673814*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 5:54 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-one quarters of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 228, 508, 900, 1404, 2020, 2748?\n\"Answer: 56*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328 + 193. Let a = j - -134. What is the nearest to 0.2 in -3, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152963 - 10290*o + 152963 to x*o + w and give x.\nAnswer: -10290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 28 = z, 4 - 41 = -z + o. What are the prime factors of ((-6124)\/6)\/(z\/(-60))?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3184, 3401, 3614, 3823?\n\"Answer: -2*n**2 + 223*n + 2963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10 + (-3)\/45. Let s = 77 + -64. Let m = s - 8. What is the closest to -0.1 in -0.1, a, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7) + 1)*1 + -1)**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (78368\/12245)\/((-128)\/(-30))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 916 + -889. Calculate the greatest common divisor of 351 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdcf when four letters picked without replacement from fcfccccdfcccccc.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*w = -3, 9*w - 13*w = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150121 - -150151. Suppose 1\/2*u**4 - 5*u**3 - v*u + 37\/2*u**2 + 18 = 0. Calculate u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*a + 1 - 19*a**2 - 56*a - 201*a**2 - 4*a**3.\nAnswer: -4*a**3 - 220*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/347 or 1?\nAnswer: 3\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 394 - 6264. Let b = -740 - g. Let c be -2*1 + b\/7. Calculate the greatest common factor of c and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6261696068 by 4.\nAnswer: -1565424017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 824*c**2. Let q(b) = -2*b. Determine p(q(d)).\nAnswer: 3296*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 8 - 23. Let y(x) = -3 + x - x + 2*x - 2*x**2. Let s(n) = -n**2 + n - 2. Calculate r*s(h) + 2*y(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7986 - -7988. Let m(a) = -a**3 + 2*a**2 - 20*a. Let r(q) = 2*q**3 - 5*q**2 + 39*q. Calculate b*r(x) + 5*m(x).\nAnswer: -x**3 - 22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2230 or 216?\nAnswer: -2230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2 - 2. Let s(n) = -531*n**2 + 3*n - 14. Give -7*a(k) + s(k).\nAnswer: -580*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 3*k - 6. Let g be y(-10). Let d = -61 - g. What is the remainder when 59 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70628058 or 70628057?\nAnswer: 70628057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (140 - 139 - (0 - 1 - -14)) + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 550.83577 to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -193a - 6fcc?\nAnswer: -8906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 8*a**2 + 8*a + 26. What is the units digit of l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -37, -58, -77?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h = -151*h - 100*h + 3318 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 3*d**2 - d**2 + 8*d**3 - d**3 + 8*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13111592 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 188788813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - 13. Suppose 2*c - 2*l = -f, -c = 4*l + l - 26. Let v be 18\/15*1\/2. Which is greater: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1006507 (base 10) to base 6.\nAnswer: -33323431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -63, 27\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 1156 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.4, 1\/4, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*n**3 - 50 + 102 - 140*n + 139*n + 6*n**2 - 51 as i*n + k + c*n**2 + m*n**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 596 and -4.\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -104. Solve 5*k - 4*f + 5 = 0, 3*k + 2*f - 1 = -j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5917\/888 - -1\/296. Find the common denominator of 123\/10 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 15092280.\nAnswer: 1\/2515380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/97 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159983 and 20253?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1012320 and -38\/1125?\nAnswer: 25308000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2162358 - -4822358. Round w to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {c: 3, r: 5, w: 3, n: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11955861.\nAnswer: 3, 229, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 - 2*n**2 - n. Let g be k(-1). Let z be (g - -3) + (-47)\/(-1). Let u = z - 32. What is the greatest common divisor of u and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + h - 7*h + 78 + 8*h + 90.\nAnswer: 2*h + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 7564224.9?\nAnswer: -3025689.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40977218 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((-40170)\/416*(-16)\/20)?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 176 = p - 79, 4*p + 37 - 107 = -5*w + 235 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9 = 4*y - 16, 0 = 4*c - 20. Let p = y + 2. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199\/12 + -46\/3. What is the closest to -0.1 in 3\/5, -3, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvpvvvpivlpp. Give prob of sequence li.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74.3 - -78. Let s = y - 18.7. Let a = -11 - s. What is the closest to 1 in -0.5, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 76\/1671703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 219 (b) -5\/26 (c) 1\/6 (d) -0.4 (e) -2\/3 (f) -4 (g) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 14256573?\nAnswer: 14256577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 5*z + 10. Let x(h) = -h**3 - 3*h**2 + 3*h + 3. Let g be x(-4). Let m be i(g). Does 25 divide m + (6 - 4 - -152)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -5. Let y = 0 + s. Which is bigger: 1\/4 or y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*u**3 - 15*u**3 - 17*u**3 + u**3 - 20*u**3 + 2.\nAnswer: 4*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54674090*k - 48355043 wrt k.\nAnswer: 54674090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2. Let n(p) = -p + 1. Let t = 32 + -18. Let f = 11 - t. Let o(k) = -4*k + 3. Let d(y) = f*n(y) + o(y). Calculate d(i(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2*(-9)\/12)\/(-3))\/(((-1786)\/(-19))\/10716).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21405340 - 5?\nAnswer: -21405345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (18 - 10) - (-4 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 3 = -5*h. Let s(l) = -l**2 - 9*l - 7. Let z be s(h). Let o(c) = 25*c - 4. Let d be o(5). Calculate the highest common factor of d and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023903 rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 4*c + 3*c + (-3 - c + 3)*(-13 - 10 + 3).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 - 10*k**2 - 3920*k + 7840 = 0 for k.\nAnswer: -28, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -17*j**3 - 501*j**2\/2 - 2*j - 12. What are the prime factors of v(-14)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(10\/((-160)\/56))*-2\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 + 88*s + 10. Let r(u) = -2*u**2 - 44*u - 4. Let b(n) = -2*g(n) - 5*r(n). What is f in b(f) = 0?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.1942 + -0.1638. Let s = -4.6 - j. Let m = 0.241799 + s. Round m to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-2*(sqrt(6) + sqrt(36)\/sqrt(6))) - (1 + sqrt(275))*2)**2.\nAnswer: 41*sqrt(11) + 18555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 73. Let u = j - 72. Round u to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 15*y**2 - 14*y + 42. Let h be s(-14). Suppose -2*t + 4*z + h = -t, 3*z = -4*t + 244. Calculate the remainder when t is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 561 - 441. Let j = o + -123. Which is the nearest to 1\/4? (a) -2\/5 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + (-1617)\/12)\/((340\/(-32))\/17)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -2653335?\nAnswer: 4\/884445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208886 and 524127?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1795*w - 46265 = 49845 - 13540 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**3 + 14*o**3 - 16*o**3 + (-2*o + 2*o + o**2)*(0*o + 2*o + 0*o) - 3*o**3 + 0 + 2*o**3 - 1.\nAnswer: 6*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 2*i**2 + i**2)*(799394*i - 380 - 799395*i - 244).\nAnswer: i**3 + 624*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p + 3. Let f be (3 - 5) + 6 + 3 - -3. Let t(v) be the third derivative of -v**4\/6 + v**3\/3 - v**2. Determine f*t(c) - 6*u(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1357\/3 - -446. Find the common denominator of -101\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 6*g**4 - 2*g**4 + (-4*g**4 - 38*g**2 + 38*g**2 + 5*g**3)*(0 - 2 - 3).\nAnswer: 27*g**4 - 25*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 19569 + 19573 = 4*r, -5*r = w + 13 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjz when four letters picked without replacement from jttjuzzkmuzjtkt.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m + 0*m + 2*m - 6*m + 2*m + 2*m + 1 - 1 + (1 - 3 + 4)*(-3 - 2*m + 3) + m + m - 4*m - 6*m + 0*m + 3*m)*(-2287 + 2287 + 276*m**2 - 83*m**2).\nAnswer: -2123*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 6*o**3\/5 + 1446*o**2\/5 + 63264*o\/5 + 61824\/5 = 0.\nAnswer: -184, -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5729190 to the nearest integer?\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 16 - j - 29.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/((-7)\/(-168)). Let t(o) be the first derivative of o**4\/4 - 8*o**3\/3 + 3*o**2 + o - 2. Is t(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.18112 + 0.18. What is h rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 4*y**2 - 8*y)*(-1108*y + 147*y**2 + 2218*y - 1110*y).\nAnswer: -588*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4917267307 and 1.92.\nAnswer: -4917267305.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*b - 2*n - 48, -4*b + 4*n - 64 = 0. Let z be 0\/6*(-9)\/(-27). Put b, 4, z, -2 in descending order.\nAnswer: 4, z, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2. Let f(g) be the third derivative of 0*g + 0*g**4 + 1\/30*g**5 + 0 + 0*g**3 - 3*g**2. What is f(n(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 11. Let x(r) = r - 6. Let p be 17\/34 - 11\/(-2). Let n(y) = p*a(y) - 11*x(y). Let m(k) = 2*k - 1. Calculate -2*m(o) + 3*n(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b1c19 (base 13) to base 14\nAnswer: 84082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 129 - x - 129.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 268948055 rounded to the nearest one million?\nAnswer: 269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from {c: 2, b: 1, u: 2, z: 1, x: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -16. What is the biggest value in u, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*u = -44697, 10*u - 6 = 12*u. What are the prime factors of a?\nAnswer: 3, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*(1*sqrt(294) + sqrt(294) - sqrt(294)))\/(1*sqrt(98)*-5 + (sqrt(98) - (sqrt(98) - (sqrt(98) - 1*sqrt(98)*3))) + sqrt(98)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + 0*n**2 + 4*n**2)*(3 - 3 - n)*(-2 + 6 + 4)*(0 - 2 + 1) to the form q*n**3 + m + h*n + x*n**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57980 and 159445.\nAnswer: 637780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338673 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*t**2 + 115*t**2 + 10 - 3*t - 48*t**2 to i*t + n + f*t**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*d + 24 = 0, u + 0*u + 5*d + 22 = 0. What is the second derivative of 6*f**3 - 2*f - 4*f**5 - 6*f**u wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -15. Let z be 3\/y*(-1 - -5). Sort z, 2, 4.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 298228, 2\/5, -1.4 in descending order.\nAnswer: 298228, 2\/5, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40, 5, 0, 3, 111, -3, -2\/59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/135 + 47*z**5\/270 - 11*z**4\/9 - 4*z**3\/3 + 17*z**2. Let k(v) = 0. Calculate v.\nAnswer: -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2 = -2*z, 5*z - 5 = -70*o + 72*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*s = -2, i + 130483*s = 130478*s - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:39 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 1905*z**2 + 9546*z + 7640.\nAnswer: -(z - 1910)*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 157006939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in 2, -3, 64, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.08 (b) 6 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5046554*o**2. Let b(x) = 7*x. Determine b(d(f)).\nAnswer: -35325878*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1215)\/(-675)*15\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.23316 + -0.03316. Which is the fourth biggest value? (a) 0.3 (b) 11 (c) m (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + -13 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2342314727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 22. Let t be 18\/(-2) + (-37 - -44). Let f(a) = a - 7. What is t*u(p) - 7*f(p)?\nAnswer: -3*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zquz. Give prob of picking 1 z, 1 u, and 1 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -55*q - 677. What is the hundreds digit of x(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 - -1.97. Let g = b - -4. Let q = g + -6.3. Is q greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 11*i. Let r be f(11). Solve r = -3*c - 0*c, c = 3*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -29*w - 3. Let a(r) = -637*r - 65. Let f(x) = 3*a(x) - 65*p(x). What are the prime factors of f(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*p**2 - 147*d + 25*i*p**2 - i*p + 4*p**2 + 3*p wrt p.\nAnswer: -4*d + 50*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -48. Let i be ((-3 - -8)\/5)\/(0 - -1). Which is the smallest value? (a) 5 (b) w (c) i (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 5863.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.2. Let r = 959\/11 - 87. Put d, r, -4\/5 in descending order.\nAnswer: r, d, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4122 and 30870.\nAnswer: 7069230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -204? (a) 9 (b) -3 (c) -1 (d) 860 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54868, 109733, 164598?\n\"Answer: 54865*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539125 and 1520.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 5*h**2 + 3*h + 2. Let i be n(4). Let u be i\/5 + (-3404)\/(-10). Let r = u - 225. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1\/4. Let h = 17 - 50\/3. What is the third biggest value in 4, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769349.\nAnswer: 7, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 53 + (1 + 6 - 1)*(3 + 1 - 2))*(3 + 8 - 9 + 2*c**3).\nAnswer: -82*c**3 - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41006096?\nAnswer: 2, 2562881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.38 (c) -4 (d) -6 (e) -0.3 (f) 26 (g) 125\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p**2 - 46409. Let t(c) = 7*c. What is t(v(y))?\nAnswer: -98*y**2 - 324863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1435*g*s**3*u**2 - 69*g*s**3 + g*s*u**2 + 310*g*s*u - 7*g*s - 2*u**2 + u wrt s.\nAnswer: 8610*g*s*u**2 - 414*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-180))\/((-2*1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l*l**(1\/3))\/(l**(-12)*l*l**(-7)) assuming l is positive.\nAnswer: l**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**3 + 31*l**3 + 12*l**3 - 98*l**3 + 14*l**3 + 11*l**3 + 8*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 4*y**2 + 2*y - 4. Let r be q(4). Suppose 4*n = -0*n. Let j be 33\/105 - 2\/(-7). Which is the closest to n? (a) r (b) j (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3*g + 6*g - 8*g + (-1 - 4 + 4)*(-2*g + 3 - 3) - 3*g + g - g + (0*g - g + 2*g)*(2 - 7 + 3) to the form f + a*g and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 13*c = 88. Are 25 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 - (-1)\/4. Suppose -2*k - k + 9 = z. Let u(h) = k*h + 1 - h - 9*h. Give u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 - 55912*w\/5 - 10920336\/5.\nAnswer: -(w + 196)*(w + 55716)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d5ca (base 16) in base 15?\nAnswer: 3a0bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:09 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -101000111101100110011?\nAnswer: -101000111101100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 527 = -5*q + 5*x, 0 = -3*q - 5*x + 1481. List the prime factors of q.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*c + 2 + (0 + 1 + 1)*(-c + 0*c - c) + 67*c + 133*c - 1 - 68*c to l + y*c and give y.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) 2\/5 (d) -653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 258060 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*g + 3 = -130*g - 3*l, 0 = -2*g + 3*l + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2426 - -2767. Calculate the remainder when x is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(143) - sqrt(143))*-2 + sqrt(143))\/sqrt(11) + 3 + sqrt(637) + -2)**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3461 - 7151 = -1066*a + 13366 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005984 to 6 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - -217. Let k = 272 - n. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 + 215157549*a**2 - 11573192830500624*a + 11573192615343076 = 0 for a.\nAnswer: 1, 107578774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*d - 18 - 90 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 4*l**2 - 2*l**2 + 4*l**2. Let m(q) = -10*q**2 + 7*q + 7. Let s(a) = -3*a**2 + 2*a + 2. Let f(o) = -2*m(o) + 7*s(o). Give n(f(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qirqqhjiqrjjrrriro. What is prob of picking 3 r?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*k + 6, k = -2*k + 4*o + 10. Let i be (-3)\/(k - (-74)\/(-4)). Sort i, 2\/9, 2\/3 in ascending order.\nAnswer: i, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 12:43 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 12*m**2 - 6*m - 9. Is v(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 670988*n - 1341992.\nAnswer: 4*(n - 167749)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.164 * -510.\nAnswer: 83.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-486)*-18)\/(2\/8)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 1274*x + 8679. What is y(175)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 64 - 49*p**2)*(-6*p - 8441 + 8446 + 93*p + p - 2*p + 3*p + (0*p - 3*p + p)*(3 - 4 - 1) - 2*p + 0*p + p - 4*p + 4*p + 2*p + 1 - p - 1).\nAnswer: -4557*p**3 - 245*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 10. Sort -1, 2, u in descending order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:38 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7349?\nAnswer: 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-641)\/(-9) + 10\/(-45). Suppose 0 = -2*i - 151 - b. Is -2 + 2 - (i - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 332787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -11 - 7. Let h(l) = l. Let z be h(-1). Let o be (-38 - v\/z)*31. What is o rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(170) - (sqrt(170) - (sqrt(170) + (sqrt(170) - -4*2*sqrt(170)))) - sqrt(170))\/((sqrt(80) - (sqrt(80) + sqrt(80)*-3))\/sqrt(8)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -3*x + g + 5, 0 = -5*x - g + 1. Suppose -k + 10 = -x*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.07 - -0.07. Let v = -30 - -33.4. Let n = v + -3. What is the nearest to f in -1\/2, 0, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54904793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-4)\/(16\/28). Let g(p) = 38*p + 30. Let a be g(7). Suppose 4*k - 37 = -5*y + 223, i*k = 4*y + a. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let r(f) = -3*f**2 + 12*f + 4. Let s(a) = -j(a) - r(a). Let q be s(5). Solve q = -3*w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 = -4*y - 23*y. Calculate the smallest common multiple of 112 and y.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.01814g?\nAnswer: 4018140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277\/2089 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - c - 2 = 0, -c = -3*n - n + 4. Suppose 0 = -t + 3*y + 31, 5*t - y = n*y + 131. Solve 0 = -2*d + 7*d - t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 770227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 260*h + 10665 = -156*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 3*r + 2. Let u be m(4). Let l(y) be the third derivative of 0*y**3 - 1\/12*y**4 + 0*y - 2*y**2 + 0 + 1\/60*y**u + 0*y**5. Solve l(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**4*w**3 + 7*o**2*p*w**3 - o**2*p + 2*o*p - 2*o*w - 3*p*w**3 wrt o?\nAnswer: 24*o**2*w**3 + 14*p*w**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, y: 6}. Give prob of picking 3 y and 1 d.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2066 and 46?\nAnswer: 47518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101640575 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/5)\/(-2*12\/(-80)). Suppose -g*z + 21*z = -3. Put z, 2, 30\/7 in ascending order.\nAnswer: 2, z, 30\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:40 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/9)\/(306\/(-27))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-24)*20)\/((16\/12)\/2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 678 + -410?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3946*n + 3455*n = 14239 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 + 518*z**2 + 512*z**2 - 1030*z**2.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011001 + -111000?\nAnswer: 100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23524 + -7?\nAnswer: -23533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*s - 0*s - 40, 0 = 2*s + 5*m + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181292, 362584, 543876, 725168, 906460, 1087752?\nAnswer: 1269044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -31*m - 29. Suppose 11*k - 180 = -k. What is the remainder when r(-12) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3797168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - h**4 - 4*h**4)*(2*h - 4 + 4) + (h - h + 2*h**2)*(0*h**3 - 3*h**3 + 6*h**3).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 + 4*j**2 + 9*j - 36. Let v be s(5). Calculate the highest common divisor of v and 2299.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**2 + i. Let t(g) = 10*g. Give k(t(u)).\nAnswer: -1100*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y. Let j(q) = 4*q. Let v(d) = 4*j(d) - 6*m(d). Let g = -44 + 65. Let o(p) = p + 21 - g. Calculate v(o(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 681 + 681. Calculate q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 + 3*f**2 - 8*f + 1. Let s(h) = -5*h**3 + 3*h**2 - 8*h + 2. Let d(t) = -6*j(t) + 5*s(t). Does 14 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**3 + 4*b**2 + 5*b - 6. Let p(a) = -32*a**3 - 18*a**2 - 21*a + 25. Let u(j) = -2*p(j) - 9*r(j). Give u(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15856, -31758, -47654, -63544, -79428, -95306?\nAnswer: -111178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -413 + 584 + w**2 - 12*w + 8*w to the form m + b*w + r*w**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjy when three letters picked without replacement from sdssjxqsdyjx?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6) + 2\/(-8))*4. Let r(w) = 2*w + 9. Suppose 7*n + 35 = 2*n. Let z(h) = -h - 4. Calculate n*z(x) + q*r(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 10. Let m be q(0). Let z(i) = -i**3 - 22*i**2 - 22*i - 24. Let j be z(-21). Let l = j + m. Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.1, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14706 is divided by 368.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218473.\nAnswer: 3, 246497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4776155 - -124196673\/26. Suppose -2*t = 4*d - 380 - 884, -4*d - 16 = 0. Let l = t - w. Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(36)\/sqrt(3)*-5)\/sqrt(6))**2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/28 (b) 1\/5 (c) 687 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**3 - 126*k**2 - 6*k - 146*k**2 + 4456 + 31*k**2 - 61*k**2 - 22*k**2 wrt k.\nAnswer: -6*k**2 - 648*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.56 - 2.3. Let m = -0.76 + h. Let n = -2 - -2.2. What is the closest to n in m, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.418 + 4.408. Let o = 0.01 + b. Let v = o + 20.0000076. What is v rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9449 - -9607. Is 161 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * -0.058342.\nAnswer: 2.275338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4\/12 + 7*a**3\/6 + a**2 + 8*a + 31. Let c(z) be the first derivative of o(z). What is c(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 351*v + 3516. Let x be i(-10). Suppose -4*c - c = -r - 10, c + 4*r + 19 = 0. Let q(l) = -l**2 - c - 4*l + x*l + 0*l**2. Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10224, -10339, -10454, -10569, -10684?\n\"Answer: -115*g - 10109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.3815 millimeters in centimeters?\nAnswer: 41.73815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(30)\/sqrt(6)))**2 + -2.\nAnswer: 32*sqrt(5) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**5*a**(1\/6))\/(a**4\/a*a*(a**(-2)*a)\/a*a*a))**20)**(-31) assuming a is positive.\nAnswer: a**(-2170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 770 and 11914.\nAnswer: 655270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l - 39 + 39)*(0 + 1 - 2).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*d + 3*v - 6187, 3*d - 4641 = -4*v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3377 and 231?\nAnswer: 70917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Let i = -9 + g. Let z = 0.8 + 0.2. Which is the biggest value? (a) i (b) z (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 11*j - 2*j**2 + 8*j. Suppose 3 = 2*g - 3. Let l(v) = 46 - 46 - g*v. What is l(k(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284903204.\nAnswer: 2, 17, 523, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 8*k - 5. Let a be (-3)\/6*1*-14. Let h be c(a). Suppose 4*d = -z + 42, -d - h*z = -4 - 10. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43065511 + -11?\nAnswer: -43065522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 29*p**6\/40 - 29*p**5\/20 - 65*p**2. Find the third derivative of l(y) wrt y.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -13 + 1 + 3 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = l - 5*c + 2*c, 2*c = 3*l + 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015214929 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92803 = -2067*n + 316*n for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8225\/408 - -121\/6. Does -4 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 - 4. Let g = 0.156 - -0.044. Let b = -112\/177 - 2\/59. Sort z, g, b in decreasing order.\nAnswer: z, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108135 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 + 47 + 52)*(2 + 20 + 2)*(-2*d - 3*d + 6*d).\nAnswer: 312*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143996199*q*u**3 + 39*q*u**2 + 6*q*u - q - 8*u**2 + 167 wrt u.\nAnswer: 863977194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5070269 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498306791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**4\/4 - 3*k**3 - 11*k**2\/2 + 13*k - 3. Let s be p(10). Suppose -3*f = s*v, 3*v + 14 = 3*f - v. Solve -2*z + 10 = f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 107.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 79. Let b(j) be the second derivative of j - 1\/3*j**3 + 1\/6*j**4 + 0 + x*j**2. Suppose b(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 1. What is the second derivative of -10*d**i + 2*d**4 - d + 10*d**2 wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-133)\/((-3591)\/72)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n = -10*n + 604 - 2424 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2491\/7509 + 4\/2503. Which is the second smallest value? (a) g (b) 0.0181 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 261, 657, 1203, 1893, 2721, 3681?\n\"Answer: -t**3 + 84*t**2 - 5*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8411*t + 204. Let f(x) = 14*x**2. Give l(f(s)).\nAnswer: 117754*s**2 + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let k = -46 - 43. Let a = k - -94. What is the nearest to 2 in a, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150375 is divided by 3759?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 3070 - 5499 + 2017 = 94*u for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -57\/5 (b) -6\/5 (c) -49.49 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 48*g + 351. Give j(12).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iwibcciwiiicwwiw?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530957 is divided by 510?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -300.77797 - -2.8\nAnswer: -297.97797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9963*m + 19920. Give k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maememmmemeaaaaama. Give prob of sequence mee.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/15 (b) 4 (c) 3 (d) 0 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + y + 3*y**2 - 9*y - 6*y - 4*y**3 in the form w*y**3 + f + j*y + d*y**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 5}. What is prob of sequence vsvs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21025030003 less than -1343?\nAnswer: 21025028660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*t + 3*t. Let b = -22 + 19. Let x be (b - 5)*(-5)\/20. Solve -t*i = x*u - 18, 2*u + 3*i = -0*i + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + b**2 - 5*b**2)*(2 - 5 + 2)*(21*b + 3*b + 15*b) + 0*b - b**3 + 0*b in the form c*b**3 + u*b + t*b**2 + r and give c.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171)*-2)\/sqrt(9) + sqrt(19))**2 + sqrt(209)\/(-1*sqrt(11)) - (1*-1*sqrt(1539))**2)*-5.\nAnswer: 5*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-377)\/(-26) + -12 + 1054\/(-4). Let f = 1611 + q. Does 90 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 + 2 = 0. Let b(t) = 2*t + 4*t**2 - 2*t**x - 6*t**2 - 3*t. Let o(r) = 4*r**3 + r + 7*r**2 - 3*r**2 + r. What is -5*b(i) - 2*o(i)?\nAnswer: 2*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3481 divided by -1.\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/25*(-3400)\/(-544)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s - 46*s - 81 = -3*p, -2*s + 2*p = -58 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nananvanannavna.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a factor of 23414446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225617 and 4338061?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -8)\/(-6 + 225\/40). Let w = -67 - -71. Solve -4*m = 4*y - f, -w*m = 4*y + m - 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18*t**2. Let z(r) be the first derivative of -18*r**2 + 1537. Determine z(a(f)).\nAnswer: 648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -475, -1172, -2159, -3442, -5027, -6920?\n\"Answer: -h**3 - 136*h**2 + 2*h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 48*r**2 + 140*r = 0. Calculate r.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56809*q - 66 = 56831*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 1090942*h + 1090942*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 30*c + 522. Give z(-13).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 61 = -13*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 - 5*p**4\/24 - 5*p**3\/6 + 8*p**2. Let r be v(-3). What is the highest common factor of r and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 558127914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -69286\/43 and -1611 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j**2 + 5*j + 2. Let z be d(4). Suppose 4*b - 3*l + 1 + 11 = 0, 5*l = 5*b + 20. Find the common denominator of 1 + z\/(-24) + b and 65\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000699 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -5. Suppose -i = 3*q + 9. Let t = 111 - 111.1. What is the closest to t in -4, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1384*z - 7236. Determine c(5).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -744*p**2 + 4031*p - 2. Let g(f) = -748*f**2 + 4028*f - 2. Let c(u) = 3*g(u) - 4*j(u). What is the second derivative of c(k) wrt k?\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1716 and 23092344?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6495 + 14669 = 0. Let i = d - 507865\/24. Find the common denominator of i and 67\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/(23\/(-345)). Let i = -4 - l. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 297 - 0?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-501)\/(-2338))\/(6\/35).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28))\/((-4)\/72*3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((12255\/(-129))\/6840).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 + 136*l - 1797. Give p(34).\nAnswer: -2953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95665327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**3 + 16*w**2 + 260*w - 8. Let p(d) = 6*d**3 + 9*d**2 + 130*d - 4. What is -7*p(j) + 4*q(j)?\nAnswer: 2*j**3 + j**2 + 130*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -20 - -10) + 2 + (15 - 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 386*h**3 - 2*h**2 - 7*h + 7. Is s(1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5190 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*sqrt(171) + sqrt(171) + 0 + sqrt(171) + 0 + -5*sqrt(171) + sqrt(171) + 4)**2*1 + 5.\nAnswer: 528*sqrt(19) + 82785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.9. Which is the third smallest value? (a) -1\/3 (b) 0 (c) -2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/4)*b**(14\/5))\/((b\/(b\/(b\/b**18)*b*b))\/b*b)**27)**(-13\/5) assuming b is positive.\nAnswer: b**(-134433\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2008549, 2008521, 2008493, 2008465, 2008437?\n\"Answer: -28*b + 2008577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*w + 231*w + 5*t = -11, 3*t = 6. Let d(i) = i - 6. Let u(j) = 3*j - 11. Let s(c) = -7*d(c) + 3*u(c). Give s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -25*y + 65. Suppose 2*o = -3*a - 11 + 36, y*o - 88 = a. What is the greatest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 460.99995175 - 461. Round f to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:29 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319208, -319222, -319234, -319244, -319252, -319258?\nAnswer: -319262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 - -147. Suppose -6*m - 15874 + 77212 = i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 22*j + 60 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/10 + 439\/170. Which is the third smallest value? (a) u (b) 1 (c) 5 (d) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9016 or -332?\nAnswer: 9016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -762 - -12?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -86. What is the third derivative of -6*a**3 + 7*a**2 + l*a**2 + 4*a**3 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 4:17 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4058\/29 at least as big as -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 7*z - 6. Let c be r(-8). Suppose x + 4*x - 75 = 0. Solve -g + x = c*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 8) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/84 + (-9)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1 (c) 5\/13 (d) -0.06 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9096587 + 3324\nAnswer: 9099911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654682 at least as big as 10618725\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*m + 0*m = -642, 0 = 2*f - m + 643. Let r = f - -575. Let b(o) = -2 - 2*o**2 - 257*o + o**2 + r*o. What is b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l - l**2 + 3*l - 2 - l + 0. Let c be n(3). Suppose -2*u + 3*h = -c, 2*u + 0*h = 2*h + 6. Solve -5*w + 2*y = -15, 27 - 2 = -u*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1821 - 0.0121. What is the closest to b in -1, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9648, -9640, -9634, -9636, -9652, -9688, -9750, -9844?\nAnswer: -9976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*h + 3. Let p = -0.6 + 3.6. Which is the nearest to -0.1? (a) h (b) p (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0 = -14, 3*l = v - 26077 + 26040 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -189, 2.\nAnswer: -189, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 18. What is the remainder when i(-11) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o. Let l be i(3). Let v = 14 + l. Factor 3\/4*r**v - 3*r + 3.\nAnswer: 3*(r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 186737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29 + 99?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -21610, -1\/5 in ascending order.\nAnswer: -21610, -2\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 973? (a) -0.06 (b) -13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964*o + 784*o = 900 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/48768 and 71\/960.\nAnswer: 243840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-87)\/(-174) - (-2006)\/(-4). Do -502 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v - 3. Suppose 3*w - 11 = 4. Suppose 0 = -3*h + w*h - 4. What is the smallest common multiple of h and a(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*p + 20 = 0, 3*r - 124 = -p - 96 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.039 (b) -3 (c) 4\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -936, -1404?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -30*n**2 + 4*n**3 + 16*n**2 + 13*n**2 + 14. What is the second derivative of b(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2886838 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-3\/10)*l))*(l\/l**(2\/9))\/l)\/((l*l\/l**17)\/(l\/l**(3\/2))))**(-13\/5) assuming l is positive.\nAnswer: l**(-8762\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 - -1.6. Suppose 157 = -z + 22. Let p be 3 + z\/25 - -1. What is the smallest value in w, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 0*v + 7*v + 0*v + 1. Suppose -5*r + 3*h = 564, -2*h - 118 = -69*r + 70*r. Let p = -113 - r. Determine n(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/(v*v**(-7)))**(-2\/13) assuming v is positive.\nAnswer: v**(-38\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*(-2)\/(-4)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 874\/76 + 5\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (235\/10)\/(1\/6). Suppose -4*v + 207 = -k. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 24. Let n be (-1 + (-4)\/6)\/(6\/(-18)). Suppose -t + 3*p = 5*p - s, -n*t = 5*p - 95. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95385148252 minus 19.6?\nAnswer: -95385148271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 8*q**2 + 10*q + 12. Let n be u(-9). Let v(m) = 5 - n*m + 0*m - 2*m + m**2. What is v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8856*b**2*n**5 - 691*b**2*n**2 - 6001*b**2*n + 2*b*n - 46*b - 2 wrt n?\nAnswer: -177120*b**2*n**3 - 1382*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 + 75 = 3*j, -i - j = 12. Let k(x) = -x**3 - 16*x**2 - 2*x + 13. Is k(i) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022 - -1020000222121?\nAnswer: 1020000211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 19*z + 32. Let t be b(-17). Let q be t\/(-14) - (-388)\/28. Calculate the highest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140900519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5653 is divided by 2815.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2241*t = 2184*t + 285. Solve -3*m - 31 = t*v, 2*v + 201 = 2*m + 195 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/5 + 348754*f**2\/5 - 6081537376*f + 60813978752\/5 = 0. Calculate f.\nAnswer: 2, 174376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.082\nAnswer: 0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, v: 5, w: 3, f: 2, n: 3, i: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gitttmftftmttytttitt. What is prob of picking 3 t and 1 i?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:30 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*v - 552 + 2372 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/17 - -84\/85. What is the smallest value in -0.5, -4, 1, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 4*m**2 - 3*m + 6. Let i(x) = 55*x + 612. Calculate the remainder when i(-10) is divided by a(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-940)\/(-30))\/(14\/21). Calculate the greatest common factor of 3149 and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Solve -2*u - s + 7 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -5\/6 (b) 4 (c) -176 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29199 by 2.\nAnswer: -29199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -727 and 14\/1021 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 65*l + 1. Let h(w) = -4*w**2 - 130*w + 1. Give 3*h(o) - 5*k(o).\nAnswer: -2*o**2 - 65*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*k = -k + 45, 5*a - 2*k - 15 = 0. Let w = 168 + -109. Let u = -19 + w. Calculate the greatest common factor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1021 and 1023 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 6:08 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 7*g**2 - 7*g - 17. Let l be q(8). Let f be (-60)\/l*1\/2*9. Suppose 110 = -4*x + f. Is -23 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/13, -2, 1, -1245, 4\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 4*p + 7, -4*o - p + 14 = 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100010011000001010 + 10001?\nAnswer: -1010100010010111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -200535.525.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-33) - (0 - 53\/(-11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 + 8*b**2 + 3 + 2*b - 4*b**2 - 2*b**4 - 15*b**2 - 2*b**3 + b**4 to the form x*b + u*b**3 + n + v*b**4 + o*b**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 10*q - 8. Let a be z(6). Is 839*(0 + (3 - (a - 2))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2)\/(6\/36). Let b be -10 + p + (3 - 1). Solve -2*j + 4 = -4*f, 4*f - 3*j + 7 = b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -4, 633, -2, 39?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402 divided by -2.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/672 and -29\/2?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((((-4)\/(-6))\/((-184)\/(-690)))\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 2971*i**5\/20 + i**4\/4 + 2*i**2 - 11230*i. What is the third derivative of p(n) wrt n?\nAnswer: 17826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*m - 5*i, m - 6*i + 2*i + 9 = 0. Let h(g) = -2*g**2 + 6*g - 6. Let s(k) = -k + 1. Determine m*h(a) - 4*s(a).\nAnswer: 2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031574824 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2111*y. Let f(q) be the first derivative of 8*q**3\/3 + 10898. Give f(d(b)).\nAnswer: 35650568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by ((-6)\/6)\/((12\/99)\/(-4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 13. Let g be (-1)\/z + 24\/(-70). Let x = 3 - 1. What is the smallest value in g, 4, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + b = 26, -5*r - 2*b = -2*r - 10. Suppose -4*w = -r*w + 6. Solve 2*h - 2*i = -3*h + 12, 2*i + 4 = w*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 476, 992, 1726, 2684, 3872?\nAnswer: 5296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3047, -3055, -3077, -3119, -3187, -3287, -3425, -3607?\n\"Answer: -o**3 - o**2 + 2*o - 3047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 7*d**2 - 5*d - 6. Let p(h) = h**3 + 4*h**2 - 11*h + 10. Let j be p(-6). Suppose j*n = 9*n + 30. Determine z(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476 and 10268.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15850 (base 9) to base 3.\nAnswer: 112221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182875.\nAnswer: 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165 - 8*w**3 + 165 + 7*w wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23497, -23510, -23541, -23584, -23633, -23682?\nAnswer: -23725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, h: 2, y: 1, e: 8}. Give prob of sequence hezz.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:01 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*s + 21, 5*o + 4*s = -2 - 9. Suppose a - 1 = o. Suppose a*r + 2*f - 36 = 0, 3*r - f + 6*f = 58. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-355 - -1)\/((-3)\/(-24)*-3) and 354.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -565 divided by 2\nAnswer: -565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 285 and -29674.\nAnswer: -8457090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -561 + 566. Solve 0 = 12*m - 5 + v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-19 + 5 - 9)*(-3 - 2 + 4) - 4 + 0 + 2)*(-18*x + 20*x - 33*x + 2).\nAnswer: -651*x + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)\/(1\/(-5)). Let r be (-3)\/7 + (-1415)\/7*(-22)\/110. Calculate the highest common divisor of r and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from {o: 8, c: 2, h: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 749, 1502, 2257, 3014?\n\"Answer: b**2 + 750*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65\/2 - -33. Suppose -1875*v + 1880*v + 20 = 0. Put v, -3, i, 0.02 in increasing order.\nAnswer: v, -3, 0.02, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95545573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**6)**(-7\/4) assuming u is positive.\nAnswer: u**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238 - -1665\/7. What is the third smallest value in 4\/7, c, -0.05, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-371)\/(-98)*-4)\/((-68)\/(-238))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 218\/246 + 1 - 2. Let k = n + -556\/1599. Let i = 40\/99 + -398\/495. Which is the biggest value? (a) i (b) k (c) 1\/6 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, r: 8, g: 2}. Give prob of picking 2 g and 1 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15577 rounded to three dps?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -39.8. Let l = 35 - s. Which is the third biggest value? (a) l (b) -0.03 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266197.\nAnswer: 1266197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4599 is divided by 313.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**4\/2 - 24*a. Let o(v) be the second derivative of -v**3\/6 + 11*v. What is o(q(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/185 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 88*n + 5 - 297*n.\nAnswer: -209*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201210 - -2020?\nAnswer: -122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - -132400?\nAnswer: 132311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, p: 11}. Give prob of sequence eeep.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -78 (b) 9\/2 (c) 3 (d) 2\/7 (e) 5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 56 - 28 + 32*b)*(4*b - 4*b - b) + 3*b**2 - 6 - 8 + 13.\nAnswer: -29*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -49*o - 2508. Determine g(-52).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1610000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*c - 18 - 29, -3*w = -2*c + 23. Suppose 9*g + 11 = -c. Is g\/(-1) + 6 + 55 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x*x**1)))**(-7)*(x**(-1))**(-31) assuming x is positive.\nAnswer: x**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + 7 + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r - 1. Suppose 4*l = 3*l. What is the remainder when (l - -1 - 1) + 73 is divided by b(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -3 - (-39 + 50).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*d**2 - 3*d**2 + 5*d**2 in the form b*d + x*d**2 + p and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/247961 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*r + 56 + 8 = 131*r. Determine m so that 4\/7*m + 0 - 10\/7*m**r + 4\/7*m**3 = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1425 + -3134?\nAnswer: -5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 13. Let p(c) = -c + 1. Let o(m) = -n(m) - 4*p(m). Let y be o(2). Are -11 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*w + 5*p, -5*p + 11 = 4*w - 0*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + -2 - (-23 + 10 + 11). Let u be 1\/(-6)*(-8)\/(-6). Which is the second biggest value? (a) 1\/4 (b) 1\/22 (c) f (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2124412 (base 5) to base 4\nAnswer: 20312020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by 10?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.61636 kilometers in meters?\nAnswer: 70616.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:57 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 27*u - 15. Give g(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, 2, -0.55, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (8 + 8 - -26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1140 + 102?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*a + 13, 2*a - 3 = -3*n - 2*a. Suppose 4*t - 6 = -x, 0*x - 4*x = n*t - 13. Factor 0*s + 0 - 1\/2*s**4 + 1\/4*s**x - 1\/4*s**3.\nAnswer: -s**2*(s + 1)*(2*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:51 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2743 + -2739. Let v(r) = r**2 - 10*r + 14. Determine v(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5273, -6449, -7625?\n\"Answer: -1176*m - 4097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 19*b + 2. Suppose -4*l + 164 = 2*i + 144, 2*i = 5*l - 16. Let p(y) = y**2 + 6*y + 1. Calculate i*z(q) - 7*p(q).\nAnswer: q**2 - 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 139007 = -280789. Let w(d) = -21356*d - 33. Let r be w(11). Let a = r - i. What is a rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 1522656*p - 6090688.\nAnswer: 4*(p - 4)*(p + 380668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 18*j**2 + 1\/30*j**5 + 2\/9*j**3 - 1\/360*j**6 + 0*j + 0 - 1\/8*j**4. Factor f(n).\nAnswer: -(n - 4)*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2203081*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 59, 60, 27, -52, -189?\n\"Answer: -2*s**3 + s**2 + 34*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -275?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4800 and 1290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-3)*-1*42\/(-196)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5534558 (base 9) to base 13\nAnswer: -802472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfnj. Give prob of picking 1 n and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 94084*z + 2633568 = 0.\nAnswer: 28, 94056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -21*v**2 - 81*v. Let r(x) = -37*x**2 - 144*x. Let w(s) = 16*k(s) - 9*r(s). Let o(y) = 2*y**2 - 3083. Determine o(w(c)).\nAnswer: 18*c**4 - 3083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l + 65*l + 35*l = 42. Find d such that 24\/5*d**2 + 0*d + 2\/5*d**5 + 0 - 8\/5*d**l - 6\/5*d**4 = 0.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226 divided by -214825\nAnswer: 226\/214825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 2. Let l be q(-6). Let d be 2\/l + (-7)\/(-4). Suppose -3*i - d*i = -235. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6989 and -319.832704.\nAnswer: 6669.167296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {e: 1, r: 2, x: 1, m: 1, o: 1, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.51854 - -0.11854. Which is the closest to v? (a) 5 (b) -3\/8 (c) 17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57727667653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 25*o**3 + 3*o**2 - 3*o + 3. Let a(t) = 7 - 10961*t**3 + 10660*t**3 + 35*t - 42 - 35*t**2. Determine 3*a(b) + 35*i(b).\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465 + 2616*u**3 + 465.\nAnswer: 2616*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 23 = -4*k - 8, -k - 4*q - 20 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:44 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 11 + (-1 - -6) + -9 + (-57 - 20)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -87*h**2 - 342*h - 200. What is b(-5)?\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -1\/2 (c) 0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/60)\/((-4)\/(40\/6)). Let x = 301\/575 - 12\/25. What is the smallest value in x, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 0*a + 193 = 10*a + 3*a, -11*i - 2*a - 299 = 312 - 588 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7144.521g in micrograms?\nAnswer: 7144521000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 26*a**2 - 8 - 12*a**2 - 17*a**2 + 7*a - a**3. Suppose 5*k - k - 4*s + 16 = 0, -5*k = -4*s + 22. Is j(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57394 (base 10) in base 4?\nAnswer: 32000302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70155538 to the power of 1\/2, to the nearest integer?\nAnswer: 8376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 + 12.85. Is n >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3286 divided by -2354\nAnswer: -1643\/1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62636 by -8948.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3\/3 + 7*a**2\/2 + 8*a + 11. Let v be y(-7). Which is greater: v or 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -13\/3, 58, 0.1, -130, 0.4?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -18. Let q = s + 10. Suppose 28 = -5*c - q*u, -4*c + 4*u - 3*u = 25. Let h(p) = 20*p + 6. Let a(l) = -7*l - 2. Calculate c*h(j) - 17*a(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3293616 - -3293487.01714. Let i = 129 + v. Round i to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8) + 9\/2. Suppose 1 = 3*w + 4*q - 0, 2*w - q = 8. Suppose -w*p - 4*t + 22 = 0, -4 = 4*p - 4*t + 4. Solve -1 - d = p*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s + 4. Suppose -5*q - 25 = -q + o, o + 5 = 0. Let c(f) = 1 - 4*f + 3*f + 0. Let a be 879\/(-1465) - 8\/(-5). Calculate a*x(z) + q*c(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 254*p**2 + 28*p - 179. Is l(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 213261232*o - 213261233.\nAnswer: (o - 1)*(o + 213261233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2) + 3 + -2. Suppose -c*k = 7*p - 5*p - 28, 0 = -2*p + k + 23. Is p\/(-2 + 11\/4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/(-133) - 2\/(-7). Solve -9 = -3*w + 5*n, -4*n - 6 = -3*w - o*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 (base 10) in base 15?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 146. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 27. Suppose 12*s - 13*s + 10 = i. What is the remainder when 59 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 - 40806030*x + 83256604218045 = 0 for x.\nAnswer: 4080603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3416*p**3 - 1 - 3413*p**3 + 1 + 0.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64, 127, 190, 253, 316, 379?\n\"Answer: 63*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*d = -207, -4*c + 2*d + 316 = 6*d. Is 61 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/(k*k\/(k*k**(-1\/4))))\/k)\/k)**(1\/2)*(k*(k*k*k**(-1\/2)\/k*k)\/k)\/(k**(-6)\/k))**(24\/5))**22 assuming k is positive.\nAnswer: k**(3894\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -10\/37277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q - 3. Calculate i(15).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-14)))\/z**(2\/15)*((z*(z\/(z*z\/(z\/z**(-3\/10))*z))\/z)\/z)**(-4\/23) assuming z is positive.\nAnswer: z**(-4774\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -15. Suppose 20*f - j*f - 2 = 0. Let u = f + 3. Which is the nearest to 3? (a) u (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30982)\/(-11) + 36\/(-66).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoyoyoioyyoiyyiyo. Give prob of sequence yy.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1275*q - 900. Let p(i) = -11 - 20 - i - 43*i. Let t(v) = -6*h(v) + 175*p(v). What is the first derivative of t(g) wrt g?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2106101\/274)\/(3\/6).\nAnswer: 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143247 - -13016. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004923975668 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 274*w + 233. Give p(-6).\nAnswer: -1411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.10131 from 614515.\nAnswer: 614514.89869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*m + h, h = 3*m - 20 - 77. Calculate the highest common factor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24022027 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432 - 2*d + 93*d**2 - 222*d**2 + 127*d**2.\nAnswer: -2*d**2 - 2*d + 432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 23. Let s be v(13). Suppose -13*y = -s*y - 18. Suppose 3*u - w - 73 = 0, 4*u - 104 + 16 = -w. What is the remainder when u is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 24*w**2 + 723*w + 1401. Calculate t(42).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - (-10)\/4. Suppose 2*y + 4 = -2*v - r*v, -2*v = -4*y - 8. Suppose 33 = 3*a - v. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8925, 3, 1, 6, -1\/4 in increasing order.\nAnswer: -8925, -1, -1\/4, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/85 - 468\/68. Does 16 divide 2 - (v + -1 - 486)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -7. Let r = a + -15. Suppose -r = -5*j - 0. Calculate the smallest common multiple of 1 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 + 40*x**2 + 78*x + 13. Let o be r(-11). Find f such that 3\/2*f**o + 3\/2*f - 3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b**2 - 60*b - 963. Let q(w) = -w**2 + 47*w. Let r(z) = -h(z) - 2*q(z). Differentiate r(t) with respect to t.\nAnswer: 26*t - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 485076.3l?\nAnswer: 485076300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66760*u + 50358*u - 4 + 4 to p + n*u and give n.\nAnswer: -16402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/6 - (1984\/30 - 93\/(58590\/84)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**(3\/5)*w*w))\/w)\/w**(-6))\/((w**6\/w)\/(w\/w**4)) assuming w is positive.\nAnswer: w**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483903872 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**12*i*i**(4\/21) assuming i is positive.\nAnswer: i**(298\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980) - (3*sqrt(1980) + sqrt(1980)) - sqrt(1980)) + sqrt(880)*-5)\/((sqrt(245) - sqrt(245)*-1)*-5*6).\nAnswer: 11*sqrt(11)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 33 = -0*x + 5*x, i - 5*x + 23 = 0. Suppose m - 3*t = 27, 2*t = -6 - i. Let n be 624\/288 + 1\/(-6). Solve m = n*h + h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*b - 262*b - 11 = 2*p, 3*p = 2*b - 23. Let m(c) = 2*c**2 + 2*c - 1. Let i be m(-2). Sort b, i, -6 in ascending order.\nAnswer: -6, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49a245 (base 12) in base 2?\nAnswer: -100100100110111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.22, -5, -12 in descending order.\nAnswer: -5, -6.22, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 + 18 - 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12724024111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697*d - 45468 = 661*d. Which is smaller: -1\/3 or d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*((j*j**(-1\/6))\/j)\/j*j\/(j\/j**(-2\/3))*j**(-3) assuming j is positive.\nAnswer: j**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 672039.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**7\/84 - 11*y**6\/48 + 25*y**5\/4 + 105*y**4\/4 - 1350*y**3 - y**2 + 5512. Find w, given that t(w) = 0.\nAnswer: -18, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 5*s**2 - 1265*s - 7928. Calculate k(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6433 = 53*m + 7811 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 1 z when three letters picked without replacement from {z: 1, p: 2, x: 1, r: 1, q: 2, v: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/9813337?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 311550 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6880.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)\/(-4 + 2). Suppose 20*g - 24*g - 38 = -11*s, 0 = -5*s + g + 14. Solve r = -s*a - 2 + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*s + 15 = 0, 5 = -3*s - 7. Is w smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 28*x**2 - x - 1. Suppose 3*i - 47 = -38. What is the remainder when 50 + (3\/i)\/(4\/4) is divided by g(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 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: What is the third smallest value in 1\/7, -2.6, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16304411 + 0.\nAnswer: -0.16304411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - 3*g. Let m(i) = -3*i**2 - 4*i + 1. Calculate -3*l(h) + 2*m(h).\nAnswer: 6*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psp when three letters picked without replacement from mmsmmmmsspmpms.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4901, -11959, -23721, -40187?\nAnswer: -61357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 4*k**2 - 3*k + 2. Let u be l(-3). Let t = 831 - 824. Suppose 25 + t = u*n. Is n >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u - 3*u)*(-82 + 82 - 49*u)*(-3 + 7 + 1).\nAnswer: -245*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -51141?\nAnswer: -51137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c + 10 = -1106 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -46. Let s(y) = -y**3 - 19*y**2 - 33*y + 20. Let q be s(-17). Put -2, 0, d, q in descending order.\nAnswer: d, q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1210 (base 4) to base 12\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2568 is divided by 2437?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wiiwwiwwiw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f39e + -21?\nAnswer: -f3bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350422 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a53 - 35b?\nAnswer: 26b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 - 4*u. Let x be o(4). Let w = -4 - x. What is z in 6*z**3 + 2*z**3 - 5*z**3 - w*z + 0*z = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190 - 260 - (-43 + -10) - (105 + -1)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 43 = -73. Calculate the least common multiple of 94 and z.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11 + 2*c - 2 + 0*c - 4. Let t be i(11). Put t, 2, -3 in decreasing order.\nAnswer: t, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 456412 or 456603?\nAnswer: 456603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 121 + 151. Solve 0 = 38*i - p*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 + -2 + 2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43066097 less than 43066099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -158617480 to the nearest one hundred thousand.\nAnswer: -158600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156305029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.076*-342.\nAnswer: -25.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 3, -3578 in decreasing order.\nAnswer: 3, -105, -3578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16735 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -517*t**3 + 20 - 9*t**2 + 7*t + 260*t**3 + 258*t**3. Let a be w(8). What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -30?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**2)**(21\/8))**(1\/6))**(-2\/15) assuming v is positive.\nAnswer: v**(-7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5035 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 10*x = 0, x - 3 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 87*g + 517. Let y be o(-6). Let w(x) = 4*x - 6. Give w(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 12*t - 9. Solve 4*d - t = 5*m - 6, d - 3 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 37. Let f be b(13). What is the common denominator of (-72)\/(-33) + (f - 1) and -74\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74.83724 nanometers?\nAnswer: 0.00007483724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9038 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 53 - t - 53. Let b(h) = -h**2 - 14*h + 2. Let s be b(-14). Let i(q) = -2*q**2 + s*q**2 - 9*q**2. Calculate i(m(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 3*x + 4. Let l be c(3). Suppose 6*u + 12 = 3*j + 3*u, 2*j + l*u = 2. Let h = -6 + 18. What is the remainder when h is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k**3 + 111226*k**2 + 3*k + 272305.\nAnswer: -78*k + 222452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 8*t + 59. Suppose t*l = 27*l + 12. Sort 9, l, -3 in decreasing order.\nAnswer: 9, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l + (-8 - 19 + 41)*(0*l + 3*l - 4*l))*(-l**3 - l + l + (2*l + 0*l - 4*l)*(-6*l**2 + 0*l**2 + 5*l**2)).\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -912002.71.\nAnswer: 911997.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 9*t**2 + 2*t - 21. Calculate y(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 23*k - 5 + 1 + 3.\nAnswer: 23*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 544970*a - 14849615045.\nAnswer: -5*(a - 54497)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -30. Suppose 4*k = -j - m*k + 12, -4*j - 3*k + 35 = 0. Differentiate -78*r + j + 75*r + 3 with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -2.4233 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 24 = 2*o + 6, 0 = 4*o + 12. Is 24\/20*(t - 1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87181 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6) - (2 - (-23416)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3605 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4715732 and 65\/16.\nAnswer: 18862928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(1000\/300)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + (5 - 428\/28). Let z(c) be the second derivative of 2*c**3\/3 + 65*c**2\/2 - 21*c. Is 5 a factor of z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.109532ml?\nAnswer: 0.008109532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*u - 30, -4 = -5*c + 4*u + 1. Suppose 341 = 2*h + b, 3*h - 336 = c*b + 143. Suppose -k + y + h = 0, -2*k - 5*y = k - 464. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392090773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 18, p: 2}. Give prob of sequence pyy.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*d - 84, -4*v - 219*d + 215*d = -288. Solve 166 = -v*q - 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1. Let m(k) be the third derivative of k**7\/2520 + k**5\/20 - k**4\/8 - 3*k**2. Let q(c) be the second derivative of m(c). Give -6*p(a) + q(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-24)*-10 + (-118)\/(-84).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*x + 63*x - 18*x - 38*x + 76*x.\nAnswer: 138*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 137. Let t be 4 + 0 + -2 + -2. Suppose -j + 2*c = -2*j + 3, -5*j = 3*c - 36. Solve t = 5*z - r + j, -7*r + 3*r = -z + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c6b6 + 4b?\nAnswer: c723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l**2 - 2*l**2 + l**2. Let k(a) = -1178*a - 8*a**2 + 1178*a. Determine w(k(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let v(c) = 216240*c. What is b(v(g))?\nAnswer: -432480*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooss when four letters picked without replacement from {n: 4, o: 4, e: 1, s: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {o: 6, l: 2, e: 2, y: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**2*m - 4032*l**2 - 1442*l*m - l wrt m.\nAnswer: -4*l**2 - 1442*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9*((-232)\/(-24) - (2 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(63\/(-24))*42\/20.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 910 = -2*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4470 - 357*w**2 + 84*w**2 + 7*w - 4470 as g*w**2 + s + k*w and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 7\/2*i**2 + 0 - 1\/3*i**3 - 19*i. Suppose -4*q - 52 = -0*q. Let y(s) = -4*s + 15. Calculate q*m(w) + 6*y(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -31, 1.1, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -13 - 1)*(-30)\/105. Let y(g) be the third derivative of -37*g**f + 0 - 1\/24*g**4 + 1\/60*g**5 + 23\/6*g**3 + 0*g. What is y(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -126, -144, -106, 6?\n\"Answer: 3*f**3 + f**2 - 80*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5 + 2*w**2 - 6*w - 4*w**2 + w**2. Let m be (-1 + 4)*3*(-2)\/(-6). Let l be 0\/(-5) - 2 - m. Give x(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 81*i**2 - 39*i + 4. Let w be z(40). Calculate the highest common factor of w and 2024.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 1.9. Let f = -366.2 - -366. Which is the second biggest value? (a) -0.09 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a - 19*a - 20*a**2)*(-181*a + 6 + 2 - 7 - 2).\nAnswer: 3620*a**3 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * -28\nAnswer: 7.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-43)\/3)\/(97*(-552)\/(-120474))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -298.5905 - 809.\nAnswer: -1107.5905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwbwpwwz. Give prob of sequence zbp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x**2 - 2*x**2)*(0 + 0 + x) + (3 - 3 - 2*x**2)*(-3*x + 5*x + 7*x) + 4 - 4 - x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 6:29 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 1. Let o be w(-1). Suppose -o*h = -3*h. Let f = h - -3. Solve 2*j - 1 = f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Suppose -3*b + 5*f - k = 0, -4*b - f = -5*f. Solve -b*y + y = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8)\/y**9)**(2\/7)\/((y**(2\/5))**(4\/19))**(-8\/15) assuming y is positive.\nAnswer: y**(-99383\/39900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586765539 to the power of 1\/4, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**2 + 14. Let j(i) = -8*i**2 + 12. Let m(p) = -7*j(p) + 6*x(p). Let k(z) = -303*z - 2. What is m(k(y))?\nAnswer: 183618*y**2 + 2424*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 75*g - 43.\nAnswer: 75*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17176 + 17176 + 159*c + (-5 + 2 + 1)*(-c - 2*c + c)*(3 - 1 - 4).\nAnswer: 151*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9187 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l**5\/2 + 249*l**4\/2 - 1680*l**3 + 3282*l**2 - 912*l = 0.\nAnswer: -38, 0, 1\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*u**2 - 16*u - 192 = 0. Calculate u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3\/y*y*y**4*(y**(-3\/4)\/y)**(21\/2) assuming y is positive.\nAnswer: y**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + 0 - 4 - (4 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 80266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.92 - -20. Let i = c + 0.02. Put i, 2, 0, 0.07 in ascending order.\nAnswer: 0, 0.07, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - 2*o)*(-4*o**2 + 3*o**2 + 0*o**2) + (3*o + 3*o - 4*o)*(-4*o - 3*o**2 + 4*o) - 2*o**3 - o**3 + 4*o**3 + (o - 1 + 1)*(-o + 2*o**2 + o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -0.14546\nAnswer: -2.61828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*x + 3 - 50*x - 3 as h*x + g and give h.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 4 - 6) + 2 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 452963253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z + 487*z + 39060 = -0*z for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 12 - 3*s**2 - 2*s - 7*s. Let n be h(-9). Let z = -4 - n. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12840 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6))**(-3\/4) assuming g is positive.\nAnswer: g**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2257\/20 - 0) + (-2)\/8. Let w = -111 + l. Find c such that -14\/5*c + 8\/5*c**3 - 4\/5 - w*c**2 = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7152*o**3 - 2444*o**2 wrt o.\nAnswer: 42912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 + 182. Let o = 58 - y. Let p be -80*(o - 68)*30\/8. What is p rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 4*p**4 - 3*p**4 + 2*p**2 - 2*p as t*p**3 + q + w*p + s*p**4 + n*p**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*i. Differentiate 2*r**i + 0*r**3 + 3 - 2 + 2 with respect to r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -78*x - 88*x - 90*x + 9 + 266*x + 145. Give z(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q - 5. Let t be i(-2). Solve 5*w + 6 = t*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (134 + 9 - 3)*(-v + 4*v - 2*v)*(1 + 2*v - 1) to k*v + u + t*v**2 and give t.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3166, -25493, -86150, -204301, -399110?\nAnswer: -689741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + y**3 - 3*y**3)*(y**2 - 2*y**2 + 2*y**2) + 34 - 34 + 3*y**5 + (-y**4 + 2*y**4 - 2*y**4)*(-2*y + 4*y - y).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187 (base 13) to base 2.\nAnswer: -100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*y - 192*y + 4*g + 127 = 0, y = 4*y - g - 43 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5132.69 - 5133. Let i = -0.1 - -0.3. What is the biggest value in l, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.5 - 36. Let a = -2.4925 + t. What is a rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 16*y**2 + 18*y + 10. Let l be b(-17). Let r(o) = -17*o - 1. Let h(t) = -30*t - 2. Let i(a) = l*r(a) + 4*h(a). Calculate i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:47 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 (base 7) in base 14?\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -33, -21, 61, 249?\n\"Answer: 6*l**3 - 19*l**2 - 7*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + -15165?\nAnswer: -15120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 12. Suppose 4*i - 35 = -t, -3*i = -0*i - 5*t - 9. List the prime factors of h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l. Let a(r) be the third derivative of r**5\/60 - 5*r**2 - 9*r. What is o(a(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**2 + 12*v**2 + 3745*v - 3749*v.\nAnswer: 24*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -1000100101110?\nAnswer: 1000101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-2)*14448\/(-252) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 5*k - 22 - 4*k as d*k + l and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/21)*z**(2\/9))\/(z**2)**(-1\/6) assuming z is positive.\nAnswer: z**(47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6352933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 928450.\nAnswer: 3\/928450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrz when three letters picked without replacement from {r: 4, x: 1, u: 2, g: 1, z: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = 2*n + 7, -5*n = 10. Solve -4 + u = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4735 by 5.\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 672.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -22. Suppose 4*z - d = 8. Suppose -11 = -4*o - s, z*o + 2*s = 2 - 0. Solve w - 28 = 5*x, 3*w - o*x - 24 = -x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34045470 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1907 + 3426. Find the third derivative of 13*g**5 - b*g**3 + 6*g**2 + 1519*g**3 wrt g.\nAnswer: 780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 - 3340*w + 1667*w + 1674*w to n*w + j and give j.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 5. Let q be w(-1). Let r be 2960\/6 - q\/15. Let y = r - 255. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 38. Calculate i(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2))\/b**(-2\/3)*b*b*b\/(b**(-1\/13)*b)*b**(3\/5) assuming b is positive.\nAnswer: b**(457\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579284 (base 12) in base 11?\nAnswer: 252a223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 4*x**2 - x**2. Let f(j) be the first derivative of 2*j**3\/3 + 17. Determine o(f(a)).\nAnswer: 28*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q)**(-9)*q**(-6)\/q**(-17) assuming q is positive.\nAnswer: q**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1535721381 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/2 - 6201*q**2\/2 - 78414*q - 75312 = 0. Calculate q.\nAnswer: -24, -1, 2092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - 4*r)*(r - 16 + 9 + 19)*(2 + 1 - 2).\nAnswer: -2*r**2 - 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71920 divided by -17980\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*r**6 - 7455692*r**3 + 4540*r**2 - 49158*r wrt r.\nAnswer: -1920*r**3 - 44734152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 97 = -489. Suppose -7*d + 0*d + w = 0. What is the third derivative of d*j**2 + 13*j**4 + 4*j**3 + 2*j**3 - 6*j**3 wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 0)*(-3 + 2 - 2)*(-q + 3 - 3).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -230 (b) -1 (c) 3 (d) 24.7 (e) 0.1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*6\/144*(-160)\/24?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 k when four letters picked without replacement from ruknh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40.521? (a) 2 (b) -4 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w - 55*w = -5*m - 2, 0 = -m - w - 4. Suppose -2980 = -k + 6*k. Is ((m - -4) + 15\/(-4))*k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*d + 26*d - 9*d - 3*d**3)*(18*d - 282*d + 586*d) in the form l*d**4 + z*d + h + k*d**2 + u*d**3 and give l.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 - 3*m**3)*(1 - 4 + 2)*(-908 + 938 + 1893).\nAnswer: 3846*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -43.61.\nAnswer: -43.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*-1*14\/(-77)*186\/12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r + 1. Let x be 1\/(-1) - -1*7. Let g(z) = -2*z**2 + 6*z - 1. Let d(y) = y**2 + 1. Let a(q) = 6*d(q) - g(q). What is x*n(c) - a(c)?\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, n: 1}. What is prob of picking 4 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u - 2. What is the tens digit of l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/3, 624, 4, 13\/5 in decreasing order.\nAnswer: 624, 4, 13\/5, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-379)\/((-217925)\/690))\/(474\/10)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, 14, 6\/7 in decreasing order.\nAnswer: 14, 6\/7, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(128) + 0 + 5)*-3*-6)**2*3.\nAnswer: 77760*sqrt(2) + 148716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14368 and 6?\nAnswer: 43104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 690243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - 2\/1 - -22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 6:52 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/18075?\nAnswer: 1\/18075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166175085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (1 + 0 - (43 - 35)) - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 0, -3*d + 3*j + 14 = -49. Let p be 6\/d - 57\/(-21). Suppose 3*q = p*s + 2*q - 82, 2*s = -4*q + 50. What is the remainder when 80 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 61 = 368*w - 373*w, -34 = -3*d - 4*w. Solve -3 = -5*n + 2, 4*f - 2*n = -d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 3332?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 277 = -4*h, -2*h + h + 61 = 3*g. Let r(k) = -41*k**3 - k. Let v be r(1). Let i = v + h. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(224)\/sqrt(7) - (0 + -2*sqrt(2))).\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. Let j = 4\/111 + 424\/555. Put j, p, -62 in decreasing order.\nAnswer: p, j, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 + -419. Let f = d + 166.71. What is f rounded to 1 dp?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -747, -750, -755, -762, -771?\n\"Answer: -m**2 - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-8835))\/(309\/(-1545))?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2138.3 + -2138.9. Which is the nearest to 2? (a) l (b) 3 (c) -0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 101, 93, 85, 77, 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 - 5*o**3\/3 - 7*o**2\/2 - 7*o - 8. Let p be j(-4). Solve p*s - 21 = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/5 - 2\/5. Solve 13 = -o + 4*m, -4*o + x*m - 4 = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 18*w + 1654. What is z(51)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-58)\/(-5) + -12 + (-85626)\/(-15) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 - 5*y**2 - 5*y + 1. Let h(u) = 3*u**3 + 4*u**2 + 4*u - 2. Suppose -2*o = -5*i + 3, -4*o - 2*i = -8 + 26. Give o*a(l) - 5*h(l).\nAnswer: l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3245?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/109 (b) 0.2 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239460499 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/2 + j - 3. Let h(u) = 2*u**2 - 13*u. What is h(y(o))?\nAnswer: 18*o**2 - 39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 + 4.93. Round o to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -698213*i*j**2*q - 5410*i*j**2 - i*j - 2*i*q + j**2 - 2*j + 1 wrt q.\nAnswer: -698213*i*j**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.06 + 26.05. Is 13.7 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 387 + -332. Suppose 50*a = v*a - 825. Calculate the remainder when a is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 14*o**2 - 13*o - 5. Let r be p(13). Sort 3, r, -2 in descending order.\nAnswer: 3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3 - 4272*i**2 - 212268*i - 955040 = 0.\nAnswer: -1016, -47, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -395 - 0?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 1, j: 1, y: 1, h: 2, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + 57923*w - 521629. What is t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, e: 3}. Give prob of sequence ooe.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*b + 38, -o + 5*b + 246177 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/41, -1\/6, -0.13, -4?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 72763067 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 4. Let c be -5 + 2 - 1\/(-1). Let d be m(c). Suppose -7*w + d*w - 9 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 1. Let k be d(3). Suppose k = i - 6. What is the least common multiple of i and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18105.\nAnswer: 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 2*u**4 + 5*u**4 + 2*u**4 - u**3 + 0*u**3 - 5*u**4 + (-3*u**3 + 3*u**3 - 5*u**4)*(-1 + 1 - 4) + (-2*u**3 + 2*u**3 + 2*u**4)*(2 - 4 + 1).\nAnswer: 22*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 14*u**5 - 6*u**2 - 3 - 11*u**5 - 9*u**3 = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9308 (base 13) to base 7.\nAnswer: -113102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/140 + 2\/(-4). Sort -5, 0.4, h, 5 in increasing order.\nAnswer: -5, h, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13269 is divided by 217.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from eucueuececeuuuueue.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d + 3. Let z = 210.64 + -211. Let x = z - -0.22. Sort x, 5, d in descending order.\nAnswer: 5, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*sqrt(42)\/(sqrt(18)\/sqrt(3))*-2)**2.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**2 - 17*i**2 - 27*i**2)*(4*i**2 - i**2 - 2*i**2).\nAnswer: -29*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-30)*-14*(-34)\/(-119)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793355?\nAnswer: 5, 101, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Let k = z - 0. What is the second derivative of -u**k + 2*u**5 + 3*u + 0*u wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*k + 15123 = -124*k + 8473 - 13969 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 15*k + 195. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -37. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24058 - -24039. Let c(i) = i**3 + 17*i**2 - 35*i + 56. Give c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9696*m - 106699. What is c(-11)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -30. Let v be (-2)\/7 + l\/7. What is the units digit of 32\/v + (-8 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let n be b(5). Let k(r) = r**2 + 4*r - 7. Let c be k(-6). Let j = c + n. What is the highest common factor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 15*y**2 - 9*y - 2. Let w be i(3). Let l = w - 32. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*m*x + 45483687*k**3*m - 15*k**2*m*x + 3*k**2*x - 738*k**2 - 3*k*m*x + 2*k + 1 wrt k.\nAnswer: 6*m*x + 272902122*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 257240167 at most as big as 1028960667\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1005 - 6776*c - 2037 + 1032)*(5*c - 2*c - 2*c)*(3 - c**3 - 3).\nAnswer: 6776*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, 8.1, -11, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 8*w**2 - 15*w + 9. Let q be u(10). Let m = q + -4. Calculate the highest common divisor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171058 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -7.293926 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -671*b - 66. Let y(u) = -134*u - 12. Let g(w) = 4*c(w) - 22*y(w). Let q(v) = -7*v**2. Calculate q(g(x)).\nAnswer: -487872*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - -1220?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 44*a**2 + 99*a + 89. Differentiate m(g) wrt g.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 11*b + 47 - 1\/3*b**3 + 0*b**2. Determine c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49038 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24386 = 2*w + 2*f, 15457 = 3*w + 4*f - 21128. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/41)*i**(-1\/4))\/(i**(-1\/10)*i**(-1\/3)\/i*i*i*i) assuming i is positive.\nAnswer: i**(-4589\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:48 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6)*f)\/f**(-3\/7)*((f\/(f*f\/(f*(f\/(f*f*f**(2\/5)\/f))\/f*f)))\/f)**(-34) assuming f is positive.\nAnswer: f**(1541\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-2)*(8\/4)\/(6\/(-32))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*o, 3*a + o + 0*o = 0. Suppose 8*p + 267 - 299 = a. Solve 2*f = 2*r, -2*f - 2*r + 20 = p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-210) - 9\/(-21). Does -0.06 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**14)**(9\/4)\/((g*g**(2\/9))\/(g\/(g**(-3\/29)*g))) assuming g is positive.\nAnswer: g**(-31705\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 184 = -311. Is 24 a factor of (-12)\/(0 + 4) + l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 1, f: 1, j: 2, p: 3}. What is prob of sequence jf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7))**(-9) assuming i is positive.\nAnswer: i**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/(21*(-128)\/(-44688))*16\/(-60)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144958904?\nAnswer: 2, 3, 15902207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 16 + v**3 + v**2 - 11 as p + s*v**2 + k*v**3 + f*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161874*y**2 + 206368*y.\nAnswer: 323748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -64*r + 6034. What is the lowest common multiple of w(94) and 46010?\nAnswer: 414090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 991 + 1033 = 2*p, -3*r = -2*p - 21 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from {l: 4, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/189? (a) 0.1 (b) 1 (c) -5 (d) -3 (e) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momom. What is prob of picking 4 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*p - 228*p + 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to -58.374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 0 (c) -1\/5 (d) -23 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583734 = -10*p + 1201220 + 2042084. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/12)\/((-9)\/(-24)). Let r(t) = 2969*t**2 + 5*t + 16. Let k be r(h). Round k to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -242027, -484704, -727381, -970058?\n\"Answer: -242677*x + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5996184*m**3*x**3 - m**3*x**2 + 2*m*x**3 + 363*m*x**2 - 2551 wrt x?\nAnswer: -35977104*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q\/q**(2\/3)*q**5\/q assuming q is positive.\nAnswer: q**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/3732 and 67\/5225733.\nAnswer: 20902932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -25. Are m and -10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 6}. What is prob of sequence llll?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4\/2 - 950*a**3 - 55440*a**2 - 1166440*a - 8358680 = 0. Calculate a.\nAnswer: -314, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -3*n**4\/2 + n**3\/3 + 2. Let v be i(-1). Suppose -v = -0*p - p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 0.11?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.6 + 22.6. Let w = -0.2 - 0.1. Which is the smallest value? (a) q (b) 2 (c) w (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-180)\/(-42) + (-2)\/7. Is (-60)\/(-8)*w\/(-24)*-4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -3, -2, 11314, 5, 4.\nAnswer: -3, -2, 4, 5, 26, 11314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 59*t**2 - t + 3. What are the prime factors of j(1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 11 = -2*f, -17 = -4*f + 3*h + 2*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66267*s**2 + 24*s + 410*s - 434*s + s**2 + 3*s**2 - 3*s**2 + (3 - 4 + 0)*(0*s + 0*s - s**2) to the form q + n*s**2 + k*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 4:51 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(252) + (sqrt(252)*2*6 - sqrt(252)))**2 + 4.\nAnswer: -144*sqrt(7) + 36293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -1)*-6 + sqrt(153)*2)*-1 - (sqrt(204) + -1*sqrt(204)*3)\/(sqrt(768) + sqrt(768)*-2 + sqrt(768) + sqrt(12)).\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(343)\/(sqrt(49)\/sqrt(7)))\/(sqrt(28)\/(sqrt(16)\/sqrt(4)) - (sqrt(847)*-2 + sqrt(847))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 381784 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 13*s**2 + 3*s + 14. Let i(b) = 2*b**3 + 14*b**2 + 4*b + 14. Let k(y) = -2*i(y) + 3*n(y). What is the units digit of k(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6266*j**2 + 3511*j**2 - 66468*j**2.\nAnswer: -69223*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*p + 5*k, k - 105 = -5*p + 75. Calculate the highest common factor of p and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 + 28 + 5*n**2 - 3 + 5 - 10*n. Let q be b(6). Let d(l) = 35*l**3 - 30*l**2 + 30*l. Let x(r) = r**3 - r**2 + r. Give q*x(i) + d(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176) + -2 - (sqrt(176) - 2*sqrt(176)*2)**2.\nAnswer: -1586 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, -2 in descending order.\nAnswer: 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-60)\/25)\/((-6)\/(-340)). Let j = t - 92. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-513)\/(-36))\/(3\/4). Suppose 0 = -20*h + u*h + 85. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwpbbwbpu. What is prob of picking 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6873096968 rounded to the nearest one million?\nAnswer: -6873000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 118 = -272. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18864\/7 or -1041?\nAnswer: -1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s**3 - 129*s - 20. Let i(n) = 71*n**3 - 517*n - 90. What is 9*h(q) - 2*i(q)?\nAnswer: 11*q**3 - 127*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000182 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 - 3*d**4 - 4*d**4)*(-34*d + 4*d + 3*d) - d**5 + 0*d**5 + 0*d**5 + (d**4 + d**4 - 4*d**4)*(0 + 0 + d) - 4*d**5 + 0*d**5 + 2*d**5.\nAnswer: 265*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-645)\/1634)\/((-1)\/2 + (75\/(-20))\/15)\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-6))\/((-7)\/(882\/105)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 17*t - 3638 = 0. Calculate the remainder when t is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, n: 2, p: 3}. Give prob of sequence oon.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 5. Let v(m) = m**2 - m. Let r be v(4). Suppose -r*u = -13*u. What is q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -24. Let a be g\/(-18)*6\/(-4). Is (-20)\/(-8)*(a - -3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -20202120200?\nAnswer: 20202120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 52012406.94 to the nearest one hundred thousand.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + (15 + -2 - -26)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 272992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -726*v**2*z**5 + 4466*v**2*z**3 + 673327*v**2*z**2 + 2*v*z**2 + 7*z - 1 wrt z?\nAnswer: -43560*v**2*z**2 + 26796*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 438 - 258. Suppose 5*c - f = 20. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -18*u + 7. Let w(p) = 37*p - 13. Determine -11*q(x) - 6*w(x).\nAnswer: -24*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3*h - 1227*f**3 - 1716*f**2 + 4*h wrt f.\nAnswer: -36*h - 7362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(8\/1722) - 7\/28. Let o = -152 + w. What is the highest common factor of 84 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and -1308.\nAnswer: -1307.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 times -8?\nAnswer: 6720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/55 - (-13)\/(-11). Let k be (4\/u)\/(3 - 2). List the prime factors of 3\/12 + (-79)\/k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.357 + 34.697. Let n = y + -35. Round n to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 5*z**2 - z - 3*z**2 - 2 + z**2 - 4*z**2. Calculate b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 (base 3) in base 6?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 + 2*x. Let q(r) = -7*r**3 + r**2 + 5*r. Suppose 2*c - 4*c + 8 = -4*k, -5*k = -c + 1. Suppose 3*g + 15 = c*g. What is g*h(t) - 2*q(t)?\nAnswer: -t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28809 times -5?\nAnswer: -144045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*l - 1. Let x(w) = -2*w**3 - 2*w**2 + 3. Let r(v) be the first derivative of -3*v**4\/4 - v**3 + 5*v + 50. Calculate l*r(f) + 7*x(f).\nAnswer: -2*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2735.\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 6) to base 3.\nAnswer: -22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:52 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.6 - 48. Let q = x - -11.40081. What is q rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 964 = -2*l - 8*d, -3*d + 486 = l. Suppose 0 = -v + 3*v - l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1 + f**2 + 4 + f**3 + 4*f**2 + 2*f. Let z = 3 + -6. Let u = z - 2. Determine l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1462434 + 5356*y - 1462434 to z*y + s and give z.\nAnswer: 5356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*j*y**2 + 393*j*y - 1130*j - y**2 - 21*y - 16604 wrt y?\nAnswer: 102*j*y + 393*j - 2*y - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 1. Let p(s) = 11*s**2 + 9 - 3*s**3 + 6*s + 0*s + 4*s**3 - 5*s. Let n be p(-11). Give k(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050 = 14*f + 1008 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.469732 litres in millilitres?\nAnswer: 7469.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -1 + 5. Factor 7*k**3 - 5*k**m - 3*k**3 + k**4 + 8*k**2.\nAnswer: -4*k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = 2*d + 2*v, 3*d - 3*v = 0. Is d at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*h**3 - 156*h**3 - 2*h + 48*h**3 + 7*h**4 + 38*h**3 to m*h + r + j*h**4 + q*h**2 + k*h**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*j + 2*d**3 + 931*d**2*j + 28833*d**2 - 13914*d*j - 585*d - 3*j wrt d?\nAnswer: 6*d*j + 12*d + 1862*j + 57666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 373, 382, 393, 406, 421, 438?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.69 - -0.35. Let x = l + -0.04. Which is the nearest to 0? (a) 1 (b) x (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-28)\/(-70)*(-15)\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 502535 or 506127?\nAnswer: 502535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39580 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + w + 1 = -w, -32 = -4*d + 4*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 70*x - 10608\/7.\nAnswer: -2*(x + 24)*(x + 221)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -797, -793, -787, -779, -769?\n\"Answer: l**2 + l - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -8. Suppose 15 = 5*b, y*q + 155 = 5*b - 60. What is q rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1254217, 1254214, 1254211?\n\"Answer: -3*m + 1254220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.44 + -0.04. Let c = 0 + -1. Let h = c - -2. Put 1\/4, f, h in descending order.\nAnswer: h, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**3 + 16*j**3 - 18*j**3 - 5*j**3.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8592*n + 25777*n - 8594*n - 8574*n + 40.\nAnswer: 17*n + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -a - w, -15 = -14*a + 19*a - 3*w - 49 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 151*m**5\/10 - 79*m**3\/6 + 3*m**2 + m + 490. What is the second derivative of r(t) wrt t?\nAnswer: 1812*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -3*u**7\/14 - u**4\/12 - 7*u. What is the third derivative of n(z) wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/27)\/((-2)\/(-9)). Let l = -9 - s. Solve -2*g = l*t + 8, -5*t + 0*t + 8 = -2*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 17. Suppose -13*n + 138 = -135. What is f(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from ixgjbjgin?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**3 + 3*s**2 + 2*s + 4. Let q be b(-7). Suppose 5*w = -4*f + q, f = 2*w - 157 - 734. What are the prime factors of w?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35585 and 11.\nAnswer: 35585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4929284 + -4929284.2200151. Let j = x + 0.22. Round j to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:02 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*l**4 + 5*l**3*u - 1542*l**2*u + 2*l**2 - 550566*l + 4*u wrt l?\nAnswer: -96*l**2 + 30*l*u - 3084*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13241 (base 6) to base 12.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -46.3. Let h = y - 0.712. What is h rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 - 7*n - 5. Let w be q(-6). Let a be (1 - 2) + (-2)\/w. Let r = a - -5. Is 2 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011110010101000001 + 11?\nAnswer: -110011110010100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 645a7 (base 12) to base 7\nAnswer: 1060231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1172400292 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n + 56 - 20. Let h(i) = -11*i - 7. What is h(n)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16716*q**2 - 2429 + 33432*q**2 - 10304 - 16717*q**2.\nAnswer: -q**2 - 12733","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-96)*6)\/(4*1\/(-100))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/2 - 8339*g**2 + g\/2 + 8339 = 0. Calculate g.\nAnswer: -16678, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 + 2 - 12*z - 2*z**3 + 11*z - 2 to the form i*z**3 + o + s*z + v*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 812920 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {m: 1, s: 2, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 5*t = -5*x - 30, 10 = 5*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 32*v**2 + 11*v**2 - 9 in the form k*v**2 + u + t*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -18 - ((-9)\/(-3) + -6). Suppose 0 = -t - 3*t - 52. Let k = b - t. Put -5, 5, k in descending order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4836 times -0.4?\nAnswer: 1934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(1\/2)\/a*a))\/a)\/a)**(-12)*(a\/(a*a**(-1)*a))\/(a\/(a\/a**4)*a) assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7\/56*-4*12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 37\/3. Factor 4\/3*y**2 - 5\/3*y - 1\/3*y**3 + z.\nAnswer: -(y - 2)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674371 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 8 - 1) + 36 + -55?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -234733109 and -0.03742.\nAnswer: -234733109.03742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495887882.\nAnswer: 2, 7, 47, 283, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3225, 3198, 3169, 3150, 3153, 3190, 3273, 3414?\n\"Answer: 2*z**3 - 13*z**2 - 2*z + 3238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*z + 772*z = -56 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 - 7*i - 1. Determine g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28, 3, 3547, -4, 2 in increasing order.\nAnswer: -4, 0, 2, 3, 28, 3547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110*i**5*z**3 + 606*i**5 - 2*i**2*z**2 - 42970*z**3 wrt i.\nAnswer: -6600*i**2*z**3 + 36360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 2*x. Let j be u(-3). Let m(q) = -8*q + 48. Is 8 a factor of m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33065, -33085, -33105, -33125?\n\"Answer: -20*f - 33045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 2. Let a be x(6). Let j(p) = p**2 - 9*p + 8. Let t be j(a). Suppose -3*k - 2*k + 75 = t. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007759\/3 bigger than 2002587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -327.68229121+-0.2388\nAnswer: -327.92109121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(26)\/sqrt(2)) + -2)**2 + 3 + sqrt(1573) + -1.\nAnswer: 6 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 747, 1344, 2345, 3756, 5583?\nAnswer: 7832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (589\/558)\/(2\/4) + -2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -35 (b) 8.8 (c) -355 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 111\/(-1) - 11\/(-19 - -8). Let q be ((w\/40)\/11)\/((-1)\/18). Suppose -3\/2*m**2 + q - 3*m = 0. What is m?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h - 63*h + 3*b = 36, -3*h + 42 = 2*b. Solve 14 = -q + 2*u, -36*u + 38*u - h = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2612 divided by -232\nAnswer: 653\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, n: 3, k: 1}. What is prob of sequence nn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-369)\/27 + 12)*2\/(-4)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4163390 and 115\/2498034?\nAnswer: 12490170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + -18.82. Let s = f + 21. Which is the closest to 0? (a) s (b) -1 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*a**3 - 349 + 349.\nAnswer: -93*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.8 - -13. Which is the closest to -1\/3? (a) 4 (b) -4\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**3 + r**2 - 164*r - 1131. Calculate g(-7).\nAnswer: -2335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582992 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1571614320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 - 7*i**2 - 3*i + 52. Let k be o(6). Suppose 0 = -9*t - t + k. Calculate the remainder when t is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(8\/(-3) - -3). Let a(y) be the third derivative of 0*y + 2*y**2 - r*y**3 + 1\/4*y**4 - 1\/30*y**5 + 0. Find s, given that a(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.078 - 0.091\nAnswer: -0.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - (-7030)\/152)\/((-14)\/16)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256502 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69.1 + -68.86. Which is the third biggest value? (a) 0.4 (b) j (c) 1\/3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.119\nAnswer: -0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 5*n + 26, 0 = -w + n - 0 - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/3, -1\/3, 1.1, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 593 = -2*d + 691 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 4*i + 305 = 257, -5*i = -x + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 - 147*j**2 + 1347*j - 1197 = 0.\nAnswer: -57, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(36\/(135\/(-15)))*2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -73*o + 75. Let t be i(1). Let p be 0\/(1 + 0 + -3). Suppose -w - 5 = -4*u, t*u - 7 = -w - p*w. Solve -4*s + 3*f - 4*f = -3, 0 = w*s - f - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34 - -1)*(-70)\/42. Let j = -1 + 0. Let f be -5*((-1 - j) + -1). What is the greatest common divisor of s and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66740 and 4080305?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423\/3 - (-72)\/54 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5603357*k + 5070858?\nAnswer: 5603357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 4. Let h = 4 + 2. Let m be (-2)\/2*20\/(4 - 6). Suppose i = h*i + m. Let o(t) = t - 1. Calculate i*w(z) - 7*o(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g - 50 = -35*g. Suppose -g = -9*f + 44. Solve -j - 12 = -f*k + 4*k, 4*k = j + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*u - 100*u = 403*u - 9600 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 7*s + 58. Let c be o(0). Suppose c*b + 44 = 60*b. Solve g - r - 4 = 0, -g - 3*r - b + 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 441?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1965 = 5*d + 3*o + 2*o, 3*d + o - 1175 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.0905 years in decades?\nAnswer: 3.80905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 4*y**3 + 7*y**3)*(4*y**2 - 28*y**2 - 10*y**2).\nAnswer: -238*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -4.2. Let j = -894\/7 - -128. Which is the nearest to j? (a) 4\/3 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33657113?\nAnswer: 7, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -415, -392, -367, -340, -311, -280?\n\"Answer: x**2 + 20*x - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6394 + 6605. Calculate the remainder when 877 is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -71. Suppose -49 = -y + z. Calculate the remainder when y is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7602 (base 13) to base 6\nAnswer: 203523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0*a**3 - 1\/6*a**4 + 4*a + 0 + 1\/20*a**5 + 0*a**2. Factor u(c).\nAnswer: c**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + 0 + sqrt(2) + sqrt(2) - (sqrt(4)\/(sqrt(6)\/sqrt(3)))**2.\nAnswer: -2 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**6\/15 - 16*j**5\/25 + 6*j**4\/5 + 4*j**3\/15 - 13*j**2\/5 + 12*j\/5 + 184. Determine s so that a(s) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apxnakx. What is prob of sequence pkn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1462\/73 + (-823252)\/(-6862) + -120.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1464 and 3\/3904.\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1100270 or 1100271?\nAnswer: 1100271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 88. Let v(p) = p + 2. Let f be v(-2). Put -1, r, 4, f in increasing order.\nAnswer: -1, f, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 90*a**2 - 204*a - 752.\nAnswer: 2*(a - 4)*(a + 2)*(a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 19*i**2 + 23*i - 7. Let m be r(-15). Let b = 550 - m. Solve 0 = -4*o + 20, -6*u - 22 = -2*u - b*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670\/9790*11\/2*(-118)\/(-3)*-1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-1053)\/(-45))\/(-39))\/((-3)\/20). Solve 2*n + 14 = -c*f, -11 = -4*n + 28*f - 23*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -190*l**2. Let u(j) be the second derivative of j**4\/6 - 3*j + 19. Determine u(t(i)).\nAnswer: 72200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -10 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 7. Let d be x(-5). Let o = 53 + -35. Suppose -5*y - 2*j = -o - 188, -2*y + j = -77. Solve y = 3*b + 5*l, l = d*l - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-68)*510\/(-595)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2033*i - 10173. Let q be j(5). What is the nearest to -1 in -0.1, q, 2, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -338, -333, -326, -317, -306?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - 234. Suppose 0 = 4*g + 4*w - 0*w, 35 = 4*g - 3*w. Suppose -g*l + m = 32. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 + 2 + 14*u**2 - 2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19101, -38078, -57055?\nAnswer: -76032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:57 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 4 (c) 3\/35 (d) 0.01 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:05 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2\/3*r**3 + 0*r + 0*r**2 - 7. Let g(t) = t**2. Determine o(g(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/3*((-736)\/17963)\/(-32)*-3?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 - 7*g**2 - 4*g + 73. Give c(-5).\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -493 + -3?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184\/195 + 28\/195. Let f = -2.93 + -0.07. Let b = -0.02 + 2.02. What is the nearest to r in b, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 318, 36, 2, -33, -2 in increasing order.\nAnswer: -33, -4, -2, 2, 36, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 8. Let l = 25 + -21. Let h(g) = g**3 - 4*g**2 + g. Calculate the smallest common multiple of h(l) and y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 - 47. Suppose 79*n - 75*n = d. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5337777 - 1434932 - 2*z - 12337982.\nAnswer: -2*z - 19110691","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 18654.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**8\/6720 - i**7\/504 + i**6\/240 + 3*i**5\/40 - 4*i**4\/3 - 7*i. Let d(h) be the third derivative of x(h). Solve d(g) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -9 + 1. Suppose -p*h - 20 = -0*h. What is the tens digit of -2 + 75 + h + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20284 and 32?\nAnswer: 162272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87488021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -937 divided by -4657?\nAnswer: 937\/4657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1058, 1051, 1044, 1037?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**2 + 13*x + 14. Suppose 16*d - 52 = 60. Does 91 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11056911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -90054, -90061, -90068?\n\"Answer: -7*z - 90047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 10:02 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2. Let g(t) = 7*t + 0*t - 4*t. Give z(g(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:38 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:19 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*a + 135 = 0, a = 5*g - 4*a - 135. Calculate the highest common factor of g and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21294\/(-19656) - (-6)\/(-9)*-3\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1584)*-4 + -4 + sqrt(1584) + 5 + sqrt(1584) + -3 + 5 + 5)**2.\nAnswer: -4224*sqrt(11) + 766720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59\/135 - 1\/27. What is the nearest to 2 in x, 8, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 - 14*r + 6. Let o(x) = 1720 - 858 - 2*x**2 - 860 - 5*x. Calculate -8*o(m) + 3*y(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 4*c - 15. Let a(q) = -6*q**2 + 5*q + 15. Let r(x) = 6*x - 3. Let w be r(2). Let n = w + -5. Let g(t) = n*a(t) + 5*d(t). What is g(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17, 2\/7, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:05 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17109 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 402*d**2 - 408*d**2 + 810*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37886 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 11:53 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -273*s - 4. Let r be w(2). Let o = 322629\/157762 + 3\/7171. Calculate the common denominator of (-1945)\/r + (-2)\/5 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(1 - -2)*-1473. Let n = -994 - w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2304132 + -2310?\nAnswer: -2311442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -597 and -597 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 + -213. Let m = x - 685\/22. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7573.765 milliseconds?\nAnswer: 7573765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39259683 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o**3 + 4*o**2 - 2*o**2 - 2 - o**2 + 29*o**3 - 17*o**3 - 4*o**4 as y*o**2 + p + v*o + c*o**4 + f*o**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.0767 take away 0.263?\nAnswer: -115.3397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6413.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from {v: 3, j: 2, e: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(11) + (sqrt(99)\/(sqrt(36) + sqrt(9)) + sqrt(11) - sqrt(11))))\/((sqrt(64)\/sqrt(4))\/sqrt(2) + -2*sqrt(512))*-1 + 0.\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/((-10)\/30). Suppose t + 2*n + 6 = -0, 2*t - 12 = x*n. Let o(h) = -6*h - 2. Calculate o(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose -l + 14 = 3*t, -4*t + 0*l = -4*l - 8. Suppose n + 4 = -2*x, t*n - x + 1 = -6. What is the nearest to n in -0.5, m, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 6. Let w be d(-6). Let i = -72 + w. Suppose -p + 61 = i. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(10\/(-60))\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275837376?\nAnswer: 2, 3, 17, 84509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*t = 1020, -4*r = r + 3*t - 2485. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -4.96. Let x = 5.2 + i. Let l = 0.199 - x. What is l rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooppooo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d - 5*w, w + 10 = 3*d - 0*w. Suppose 5*r + 8 = 3*t, 0 = t + 3*t + d*r - 2. What is the derivative of -3 + t - s**4 + 3*s**4 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4 - p + 0*p + 4*p + 0*p. Let z(o) = -2*o**2. Calculate t(z(v)).\nAnswer: -6*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 - -472. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f - 8. Let a(k) = -k**2 - 44*k - 77. Let w be a(-42). What is d(w)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2859, 2886, 2925, 2970, 3015, 3054, 3081?\n\"Answer: -q**3 + 12*q**2 - 2*q + 2850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-3 - -1))*-3. Let o = -522\/5 - -104. What is the second biggest value in o, -0.1, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -29*r - 885. What is the remainder when 897 is divided by m(-32)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041 = 66*a + 24 - 39 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3984, 3984, 3986, 3990, 3996, 4004?\n\"Answer: t**2 - 3*t + 3986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200553755, 200553758, 200553759, 200553758, 200553755, 200553750, 200553743?\nAnswer: 200553734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 20. What is s(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b912 - -3?\nAnswer: -5b90c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -69 + (52 - 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3\/8 (c) -2\/31 (d) -192 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249*m**5 + m**2 + 686*m wrt m.\nAnswer: 14940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -454 - -15512011?\nAnswer: 15511113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 756 and 5292.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 16. Let i be l(0). Suppose 5*r - 2*v = 16, -4*r + 3*v - 6 = -i. Suppose 24 = 2*p - 3*c, -r*c - 9 - 37 = -5*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13695 + -13694.92. What is the nearest to 0.2 in -3\/4, j, -0.05?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)\/(a\/(a\/(a**(-11)\/a*a))) assuming a is positive.\nAnswer: a**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712 divided by 1.\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268817 + 526985. Suppose -6*c = 1878168 - y. Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15694.\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 746*f + 4*f**2 - 16 - 740*f + 43 - f**2. Does 43 divide w(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3837 or -0.4?\nAnswer: -3837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -5.8. What is the third smallest value in -3\/2, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4319\/3315 - 8\/221. Calculate the common denominator of 35\/744 and f.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, 514, -3 in ascending order.\nAnswer: -3, -1, 18, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2701 + 1181 - 2498)*(2*k + k + 0*k)*(-2 + 0 + 4)*(1 + 2 - 2) in the form m + q*k and give q.\nAnswer: 8304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-3)*1*-2)\/2. Suppose -3*r + 8 = c*g, -3*g = 4*r - 4*g + 2. Suppose r = -105*t + 106*t. Solve 2*y + t*y - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -709506*w**2 - 54466*w - 4 wrt w?\nAnswer: -1419012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*g - 101*g - 272 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 7*i**6\/360 + 2*i**3\/3 - 4*i. Let l(g) be the second derivative of o(g). Let a(n) = n. Give a(l(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and -13\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 226, 228?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 1, r: 1, l: 1, o: 1}. What is prob of sequence olrd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - 2343\/(-55). Let t = o - 37. Suppose 0 = -5*c - t*r + r + 1910, 1122 = 3*c - 5*r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -6 (c) -4\/5 (d) -2 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -14*o**3\/15 - 1394*o**2\/5 + 169096*o\/3 - 80408\/5 = 0?\nAnswer: -437, 2\/7, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 18*t**5 - 4373*t**4 - 188109*t**3 + 378345*t**2 - 174961*t - 10920 = 0.\nAnswer: -39, -1\/18, 1, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 2*t - 1. Let x be w(3). Let k be 22\/(x*3\/(-330)). Suppose -k = -b - 4*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1276 = -0*f - 4*f. What is the greatest common divisor of 29 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-207))\/((1\/2)\/(35\/14)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -416 - 18?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*w = -200, 0 = -s - 3*w + 7*w + 94. Suppose -f = 2*f - s. Let d = 49 - f. Solve 5*h + d = -g, 5*g + 4*h = 2*h - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9*c = -32. Let f be c + ((-330)\/9)\/(-10). What is the smallest value in -3, -2\/5, 3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.6 + -2.6. Which is the third smallest value? (a) x (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8928.474 millimeters to micrometers.\nAnswer: 8928474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 + 77. Calculate the greatest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(405) + -5)*-3 - sqrt(405)*1*-5)*6)**2.\nAnswer: 19440*sqrt(5) + 66422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 55*m. Let t(s) = 5*s**2. What is t(n(v))?\nAnswer: 15125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6386854 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2597, -2596, -2595, -2594?\n\"Answer: f - 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201111112102 (base 3) in base 5?\nAnswer: 213242114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13 + 6 - 3*b - 2. Let k be u(-4). Let -j**5 - 9*j + j**4 + j**k + 9*j - j**2 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 3*s + 2*s + (s + 0*s - 3*s)*(-1 + 4 - 1) + (6 + 0 - 2*s + 1)*(-5 + 2 + 1) to r + d*s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -498\/187 - -241963\/91630. What is the common denominator of r and 37\/98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385240583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*(-2 + 2\/2). Let a be (j\/6)\/(2\/52). Suppose n - 5*w - 13 = 0, -3*n + a = -w + 2*w. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086 a factor of 28124142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:53 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 113*b**6\/6 - b**3 - 7*b - 5. What is the third derivative of w(q) wrt q?\nAnswer: 6780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 5. Suppose 5*k + 36 = 4*u + 2*k, 3*k - 48 = -3*u. Calculate the remainder when p(-9) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/120*-30)\/((90\/(-16))\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 19*b**2 - 3*b + (b**2 + 0*b + 0*b)*(-1 - 2 + 6) - 1 + 1 + 4*b**2 to the form l*b**2 + o*b + r and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 4:59 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:12 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478152?\nAnswer: 2, 3, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -165*x + 32. Let c be t(-5). Suppose -5*g + 102 = -4*g. Let k = c + g. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -411965 to the nearest one thousand.\nAnswer: -412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 2*f - 2. Does 7 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -15, -2*c + 21 = -4*x - 3*c. Let k = -0.37 - -3.37. What is the third biggest value in x, -0.5, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/32)\/(-2 - 2226\/(-1112)). Let t = -17 + m. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -569.9 - -570.3047. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66029908.\nAnswer: 2, 7, 613, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 112 (b) 8 (c) 12.5 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 927683 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3190907, -6381817, -9572727, -12763637?\n\"Answer: -3190910*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.091767 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -332 and -376862.\nAnswer: -377194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d1 (base 15) in base 3?\nAnswer: 10001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 51 = 5*u + t, 5*u - 75 = -2*t. Let j = -8 + u. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 6*s**2 - 6*s + 7. Let f be z(5). What is the derivative of 19 - f - 1 - 27*v**3 wrt v?\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 + 407. Let x = -254 + v. Solve -l = -7 + x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 3*f + f. Let x(i) be the second derivative of i**5\/20 - 5*i**4\/6 + 2*i**3\/3 - 39*i**2\/2 + 6*i - 4. Let h be x(10). Calculate p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeuaeauaeaauua. Give prob of sequence aau.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 614429059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -55. Let g(s) = -s + 41. Let l be g(b). Solve -2*z - 2*k = -l, 11 = -0*z + z + 3*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.147465 - 0.148. Round d to five decimal places.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-9 + (-191)\/2). Suppose -t + 5*p + 426 = -j, -3*t = -p - 1933. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**4 + 36334*z**3 - z**2 + 272*z + 1087.\nAnswer: 36*z**2 + 218004*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/7))**4\/(v**(4\/7)\/(v*(v\/(v\/(v*v**(2\/5)\/v)*v*v)*v)\/v*v)) assuming v is positive.\nAnswer: v**(174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppplllplpltcklllp. Give prob of sequence lckt.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 2\/20539 (c) 0.1 (d) -1\/4 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 756703?\nAnswer: 756705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -1 + 10 + 32 - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 3.6. What is the nearest to -0.1 in u, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.173 + -0.027. Let d = 4 + m. Is 1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4*i - 4, 1743*b - 1748*b + 34*i + 88 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 435321079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 715 - 617. What is the remainder when n is divided by 77?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223012760 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293.83 + 273.83. Let t = -2 + 1.6. Which is the second biggest value? (a) 4 (b) 0.4 (c) t (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4418 greater than -4418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16800.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + ((sqrt(176) + sqrt(176)*-2 + sqrt(176))*-3 - (2 + sqrt(176) + 0 - sqrt(176)))*2)*3*-6)**2.\nAnswer: 291600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -377, -584, -793, -1004?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181.5 - -182. Put i, 2\/7, -1, -2 in ascending order.\nAnswer: -2, -1, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 - 42*m**4 - 204*m**3 - 216*m**2 = 0. What is m?\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 7532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 + (3 - 8 - 36\/(-6)) and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728812005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -75) + 4\/4. Let h be 30\/j - 4\/10. Suppose h = -2*v - 2*n + 291 - 29, 2*n - 126 = -v. Calculate the greatest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 6*i - 3. Let a = 5 + -2. Suppose -5*w + w = x + 19, -3*w + 3 = -5*x. Let p = x - a. What is v(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-180)\/240*4*(-1)\/3. What is the smallest common multiple of (0 - 0\/(-3)) + 2 and (-132)\/(-4) - (k - (4 + -2))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + -2 + (-1 - 955). Let t(l) = l**3 - 6*l**2 + l - 5. Let k be t(6). What are the prime factors of (k\/2)\/((-13)\/b)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -32, -6 in decreasing order.\nAnswer: 0, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 32 = -18. Solve -u + z = 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 25. Suppose 23 = i*k + 8. Suppose 5*n - 4*s = -2*s + 2, -3*n - 6 = -3*s. Solve -5 = -n*r + k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -9, 2, -3 in increasing order.\nAnswer: -9, -8, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -920?\nAnswer: -920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*t + 43*t + 880 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 4. Suppose -5*d + 2 + 3 = 2*c, -5*c - 22 = d. Let h(x) = 3*x - 5. What is d*h(r) - 4*n(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -231 + 233. Let n be ((-28)\/49)\/(k\/(-70)). What is the greatest common divisor of 30 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*-2 + 4.\nAnswer: -18*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s. Let x(n) = -6*n - 7. Let l(a) = 4*a + 5. Let y(z) = 7*l(z) + 5*x(z). Determine y(m(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 84.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 8) to base 10.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -607852\nAnswer: 1823556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133755 and 29970.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 1 = 5*d, -4*d - 3*s + 20 = s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -83, -137, -201, -275, -359?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 + 5*p + 631. Calculate n(0).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1958 - -1963. Which is the nearest to 1? (a) i (b) -3\/8 (c) -1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i. Let j = 48.4 - 44. Let w = j + -4. Which is the nearest to i? (a) 0 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5523 is divided by 393.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208340 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*c**2*o**3*u + 7*c**2*o - c**2*u**2 + 2*c*o**3*u**2 + 22*c*o**2*u - o**3 wrt o.\nAnswer: -186*c**2*u + 12*c*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*z**2 - 5 - 4*z**3 + 3 to i*z**2 + j*z + u + t*z**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3\/3 - 71*a - 1. Let l(h) be the first derivative of v(h). Let z(t) = 0 - 6*t + 0. Calculate l(z(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + 5*k**2 - 5*k**2)*(-2453*k - 102*k - 810*k) in the form x*k + a*k**3 + d + y*k**2 and give a.\nAnswer: 3365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 35 - (41 + -37 + 21 + -29)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 878.28856715 + -3.\nAnswer: 875.28856715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1432148376 to 3 decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140404089 rounded to six decimal places?\nAnswer: 0.01404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3*(-3)\/(-153)). Let c = -12 - f. Suppose d - 3*d - y = -11, -4*d = -c*y + 13. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -1, 1, -66?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 224 = 240 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 9*x**2)*(0 + 7 - 1) - 3*x**2 + x**2 + x**2.\nAnswer: -55*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -579 + 595. Suppose 2*f + 4*b + 4 = -z, 15 = -3*b. Solve -5*x - 5*h + 5 = f, -5*h - 9 = 2*x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8546.04285 rounded to 0 dps?\nAnswer: 8546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/438 and -101\/10804.\nAnswer: 32412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.014944 decades?\nAnswer: 0.14944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8383*o**3 + 3 - 3 - 8377*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1642, -13, 2 in increasing order.\nAnswer: -13, 0.1642, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7741.24ml to litres.\nAnswer: 7.74124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -1, -54, -5 in descending order.\nAnswer: 4, -1, -5, -7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(33)*1*3)\/((sqrt(15) + sqrt(60))\/sqrt(5))*5.\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g. Let b(s) = -783*s**2. Calculate b(v(f)).\nAnswer: -7047*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 92 = 5*p, 69034*s - 7*p - 140 = 69041*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10 and 65\/377268.\nAnswer: 1886340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2831 + 0.1\nAnswer: -2830.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - (15\/(-2))\/(-1). Let t(r) = r**2 + 6*r. Determine t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j + 1. Suppose 2*t - 5 = x, -4*t + 17 = -0*t + 5*x. Let u(v) = 8*v - t*v - 2*v - v. What is k(u(g))?\nAnswer: 20*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*t + 8*t**2 + 28*t + 9*t**2 - 4*t wrt t.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*0.43\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*i = -11*i + 1203176. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/3 - 23*u**2. Let f(b) = -b**2. Determine f(s(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930779342?\nAnswer: 2, 3, 29, 136993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/23 + -109\/92. Suppose -s + 16 - 11 = 0. What is the second smallest value in q, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*k - 35 = 6*y, -2*y = 3*k + 7. Is 5\/(y - -6) + 299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6638 + 13333. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/6 - 16\/24. Let z = 51 - q. Suppose -3*y = o + 4*o - z, -y = o - 13. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.0382 - 0.0382. Let n = 0.9 + -1. Which is the third smallest value? (a) 2\/29 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 10*i**2 + 8*i - 12. Suppose -23 + 12 = d. What are the prime factors of w(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:14 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0\/2 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17309 - 70523 = -42*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 69*x**3 - 132*x**2 + 57*x + 6 = 0. What is x?\nAnswer: -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 16. Let y be n(6). Differentiate 18 + w**3 + 1 - w**y - 111 + 2*w**3 wrt w.\nAnswer: -4*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -193, -348, -517, -706, -921?\n\"Answer: -g**3 - g**2 - 145*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 6*2185\/114 - (-2)\/1?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3870\/1339 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 29 = -3*p. Suppose 0*a - 3*a = p. Is (1\/a)\/((-2)\/150) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -2\/5, 39, -517 in increasing order.\nAnswer: -517, -2\/5, 0.3, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -86710 divided by 4\nAnswer: -43355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -55. Let r = -5 + 1. Suppose 29*w - 26 = 11 + 21. What is the smallest value in 5, r, k, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -32*z + 31*z - 34, p + 28 = -4*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -471144 - -1140?\nAnswer: -470004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 3*k**2 - 3*k + 3. Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26210712 to the nearest one hundred thousand.\nAnswer: 26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407371853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50937984*h**4 - 200505888*h**3 + 12915240*h**2 - 2477878*h\/9 + 17576\/9.\nAnswer: -2*(h + 4)*(612*h - 13)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-77)\/3 + (-22)\/(-33). Let f be (-1 + -9)*10\/k. Suppose -4*h + 5*v = 2*v - 18, -5*v = 2*h + f. Solve p = h*j - 1, -26 = -2*p - 2*p - 3*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 11*x - 14. Let r be c(-13). Let w(q) = 19 - 29 + 7 + q + r. What is w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 16. Calculate m(-16).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -130*z - 2032. Give k(-15).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/5 + 177*z**3 - 7299*z**2\/5 - 8181*z\/5 = 0. What is z?\nAnswer: -303, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115453 + 2?\nAnswer: -115451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -33.4 and 128587.\nAnswer: 128553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266611 is divided by 66650.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/27 - 47\/(-9). Let m(j) = -j + 1. Let u(r) = -3*r + 7*r**2 - 7*r**2 - r + 5 + r**2. Let a(s) = 2*m(s) - u(s). Calculate a(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f, 2*w - 24 = -0*w - 5*f. Let j be (0 - -7)\/(3\/105). Suppose -w*k - j = -17*k. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 20*c = -7*k - 45, 7*k + 18 = 2*c - 4*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 39. Let x be n(29). Solve 3*h - x = 5*l, 3*h + 13 = -3*l - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109.9 and 250.\nAnswer: -27475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7))\/(u\/((u**(3\/7)\/u*u)\/u)))**13 assuming u is positive.\nAnswer: u**(-689\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6587996433.99999941 + -6587996356. Let f = -127 - -49. Let p = f + y. What is p rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/21 - y**6\/45 + y**5\/3 + 4*y**4\/9 - 19*y. Suppose i(f) = 0. What is f?\nAnswer: -4\/3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68857\/8 + -8597. Let i be -1846*(1 + (-9)\/6). Let d = -10135\/11 + i. What is the common denominator of n and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 15 - 155*q - 9 - 55*q**2 + 28 = 0.\nAnswer: -3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*v**2 - 1452*v**2 - 985*v**2)*(-4*v - v + 6*v).\nAnswer: -2405*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 11*m - 14. Suppose -4*f = 4*o - 4, -4*o + 6*o - 8 = 0. Let d(t) = t**2 + 4*t - 5. What is f*z(n) + 8*d(n)?\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + a - 2 = 0, -5*c - 4*a - 3 = 3. Factor 12*u + 12*u**2 - 6*u**3 - 37*u**2 + 16*u**c + 3*u**4 + 12.\nAnswer: 3*(u - 2)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -15*n - 10. Let y(m) = m + 1. Let d(z) = q(z) + y(z). Let c(h) = h - 1. Let k(x) = 6*c(x) - d(x). Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13080933 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(275) + 0)*4 + -4))**2 + 2.\nAnswer: -640*sqrt(11) + 17666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*v + 846 - 19*v - 26*v + 238*v**3 + 65*v - 27*v**3 wrt v.\nAnswer: 633*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:56 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-28 - -16) - 4 - 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvvgdydvvdy. Give prob of picking 1 y and 1 v.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14\/140 - (-5 + 71547\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - ((-3 - 24) + (-111 - -166)) - (-1 - -4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(128) + 3 + sqrt(128)) - 3*-6*sqrt(8)\/sqrt(4))**2.\nAnswer: 204*sqrt(2) + 2321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3642*u**3 + 5*u - 10. Let b(p) = 112904*p**3 - 154*p + 308. Calculate -5*b(n) - 154*h(n).\nAnswer: -3652*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 2*r**2 + 31*r - 35. What is b(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y*y**(2\/13))\/(y**(-4)\/y*y*y*y**(-2)) assuming y is positive.\nAnswer: y**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1148, 1523, 1898, 2273, 2648?\n\"Answer: 375*q + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 9*z**2 + 16*z + 11. Let t be f(6). What is the tens digit of (t - 178\/6)\/(94\/(-282))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 143*v - 32. What is x(36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 + -1 - 0) + -51 + 13 + 52 + -17.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 34*s + 20 = 0. Solve s + 15 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -20442784?\nAnswer: 20442788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2586780*p*q**3 - p*q**2 + 1631720*p wrt q?\nAnswer: -15520680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 15 = 0, -2*q - 4*w + 238 = 3*q. Let s = q + -46. Let v be (s\/(-6))\/((-10)\/30). Solve 0 = -4*z + x + 7, v*z + z - 5 = x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 8901?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/21 - 14*j**2 - 128*j\/3 - 200\/7 = 0. What is j?\nAnswer: -2, -1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4832 in -0.3, -2\/11, 4, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 133*v + 824. Let d be x(-6). Let n(k) = -k**3 - 10*k**2 - 3*k - 2. Give n(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -4*(2 + -1). Suppose -a*f + 62 = 5*h - 142, 240 = 4*f - 4*h. Let g = 5464 + -5456. What is the highest common factor of f and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (143\/11)\/(237\/78 - 3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/9))**(-1\/18) assuming c is positive.\nAnswer: c**(-1\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**6\/15 - 39*i**5\/10 + 7*i**4\/2 + 45*i - 2. Find the third derivative of g(l) wrt l.\nAnswer: 48*l - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 3*r - 3*r)*(-12 + 17 - 3 + 14*r).\nAnswer: 28*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 6:59 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19)*1*-5 + sqrt(19) + -4*sqrt(19) + 3).\nAnswer: -16*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 2*q**2 - 2*q + 2. Let w(d) = -d**3 - 4*d + 4*d + d - 1. Suppose -22 = 2*b - 20. Let a(z) = b*g(z) - 2*w(z). What is t in a(t) = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201 - -2?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*h*j*k**2*n + 2*h*j*k**2 - 20*h*j - 51*h*k**2*n - 4*k**2*n - k**2 wrt j?\nAnswer: -8*h*k**2*n + 2*h*k**2 - 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 507902296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1750281 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1657247 (base 9) to base 11.\nAnswer: -581112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 397*s + 402*s + 95645 = 0, 4*s - 8 = 0. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0353 to three decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101146 + 101146.0599624. Let n = 0.14 + -0.08. Let c = n - d. Round c to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/11)\/(g**(-2\/89)\/g*g) assuming g is positive.\nAnswer: g**(-245\/979)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1400 - 10?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a**(2\/3))\/a))\/a*a)\/(a**(-1)*a)*a**(-7\/4)\/((a**(2\/23)\/a)\/a))**(-8) assuming a is positive.\nAnswer: a**(-274\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(17))**2 - (sqrt(68)*1)\/sqrt(4).\nAnswer: -9*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i**3 - 211*i**2 - 11*i + 52. Calculate t(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 47 = 225. Which is smaller: 0.3 or o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, w: 1}. What is prob of sequence wd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 156746.7 milligrams?\nAnswer: 0.0001567467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and 4125257?\nAnswer: -783798.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -44. Suppose v = -8*m + 3*m + 5*u + 5, -5*m + 17 = -2*u. Solve 0 = 4*z - 2*i + 20, -m*i = 4*z - 2*i + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4 + 5022760*b**3 + 1261415946360*b**2 + 5045603512480*b + 5045583421520 = 0.\nAnswer: -502274, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*n**2 + 96032*n - 5488.\nAnswer: 4*(n + 686)*(35*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3542962.\nAnswer: 2, 1771481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 less than -339736.23?\nAnswer: -339736.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -139\/19 (c) 8722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 25*n + 16. Let o be w(0). Suppose 3*u = 8*u - 85. Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23797 and 1875473.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rirrrrrrrrrriri. Give prob of picking 2 i and 1 r.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/18412297 and 71\/3134008.\nAnswer: 147298376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -1\/55*s**5 - 1\/66*s**4 + 3*s + 1\/11*s**2 + 0 + 2\/33*s**3. Suppose q(t) = 0. Calculate t.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-8))\/(-3 + 687\/228). Solve -6*m - 56 = -y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/4)\/((-4)\/40). Suppose -2*m + z = 3*m. Let r = 190\/9 - m. Which is the smallest value? (a) r (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1807 = -5*v - 4*v + 5407. Calculate the remainder when v is divided by 83.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*r + 5*c + 10, 4*r + 2*c + 4 = 0. Let m(w) = -2 + r - 10*w - 11*w - 4. Is m(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -3 (c) 124 (d) 0.65 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7. Let o(n) = -n**2 - s + 120*n - 120*n + n**3. Let r(t) be the third derivative of -t**6\/24 + t**5\/30 + 5*t**3\/6 - t**2. Give -3*o(x) - r(x).\nAnswer: 2*x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:27 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61018193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -28. Let m = -43 - j. Let r = 105 + m. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 - 5*a**2 - 2*a**2 + 0*a**2 + 3*a**3 - 3*a. Let d be o(-6). Let v = d - -28. What is the remainder when 28 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7799471 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**7\/5040 + c**6\/720 + c**5\/10 + 3*c**2. Let u(j) be the third derivative of s(j). Let p = 1 + 5. Give u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47590 less than 28730?\nAnswer: -18860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -0.2 in ascending order.\nAnswer: -6, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 7*m - 9. What is w(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 0*m**2 + 4*m**2)*(4 - 2 - 4)*(-22 - 94 + 21 - 50).\nAnswer: -290*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - v + 18, -5*s + 4*v + 9 + 21 = 0. Suppose -2*x - 2 = 8. Which is the nearest to s? (a) 0 (b) -1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12661714, -25323450, -37985186, -50646922?\nAnswer: -63308658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -4, 116.\nAnswer: -4, -2, 0, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 1733*d**4\/6 - 7*d**3\/6 - 223*d**2\/2 - 3303*d. What is the second derivative of r(b) wrt b?\nAnswer: 6932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-91)\/52)\/((-2)\/8). Suppose -17 = -q*f + 18. Which is the nearest to 1? (a) 3 (b) f (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1678824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-9)*99\/(-77)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -104. Let j = h - 52. Suppose 2*v - 5*a = 77, -v = -6*v + 3*a + 183. What is the remainder when v is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5926660 is divided by 724?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.839 (b) 5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -214 + 225. What is the remainder when 1891 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633541*k**3 - 316771*k**3 - 316791*k**3.\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*z = -7*u + 18, -u = -2*z - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 5*h**3 - 4*h**3 + 4*h**3 - 2*h**3 + h**3 + (-2*h + h + 2*h)*(-1 - 2*h**2 + 1) + 2 - 2*h**3 - 2)*((-18 + 8 + 9)*(4 - 4 + 3*h) - 1 - 3*h + 1).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10) + 21836\/(-1060)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 - 2.8. Which is the closest to -0.1? (a) -7 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by -152.\nAnswer: -169\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50176478 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 20. Let j be o(0). Let v = 5 - j. Let a be v*2\/6*-10. Round a to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoroayaryyyryyyromri. Give prob of picking 1 o and 1 r.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 1031. Let i(g) be the second derivative of -g**4\/12 - g + 6268. Determine o(i(j)).\nAnswer: j**4 + 1031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - y = 13, -4*y = 2*u - 2 - 2. Let v(l) = l**3 + 6*l**2 + 3*l - 6. Calculate the remainder when v(u) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**2 + 4*o - 4. List the prime factors of p(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 4*h - 2*b + 1, -10 = 2*h - 4*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/8)\/((-2)\/16). Suppose -2*a + b = -16. Calculate the remainder when 44 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occvcclfvcvoclwlcoc. Give prob of picking 1 o and 1 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/21*16926\/4340)\/(2\/(-6))?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.182 - 111.182. Let v = p + 106. Let n be -1*5 - 36\/(-9). What is the fourth biggest value in 1, n, 8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1230*t**4 - 3129*t**4 + 164 - 14*t + 849*t**4 wrt t.\nAnswer: -12600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -31*n**6\/24 - n**5\/30 + 5*n**4 - 104*n**2. What is the third derivative of f(c) wrt c?\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*q - k - 24, -7*k + 124 = 443*q - 449*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 432\/11 in -1\/9, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(9\/(-195)))\/1. Let j be (-2)\/(58\/28 + -2). Let l = u + j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 60004, 0, -2, -1 in decreasing order.\nAnswer: 60004, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, -2, 1327.\nAnswer: -2, -1, 0, 4, 1327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3775*s**2*x**4 - 35*s**2 + 4*s wrt x?\nAnswer: 15100*s**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141086 - -472?\nAnswer: -140514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -221, 0, -5, -1.\nAnswer: -221, -5, -1, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offoffo. What is prob of picking 1 o and 3 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 2.26848?\nAnswer: 38.56416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -842629 divided by 842629\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4*88\/12. Let u = -11 + m. Suppose u = b + 4*q - 103, -4*q = 2*b - 225 + 7. Calculate the greatest common divisor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/210 + y**5\/35 - y**4\/14 + 2*y**3\/21 + 3*y**2. Factor j(i).\nAnswer: -4*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = r - 43. What is the remainder when r is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + l + 6, 0 = -y - l + 6. Solve 3 = -y*m - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/48 + (-2)\/3. Let c be (-2)\/(-5) - 69\/135. Let y = -367\/7 - -370\/7. What is the closest to 2\/5 in y, c, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950276?\nAnswer: 2, 353, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - k + 1 + (1 + 0 + 0)*(k - k - 2*k) + 5*k - 3*k - 3*k + 0 + 0 + 2*k - 7*k + 2*k + 3*k - 3*k - 2*k + 6*k - 3*k + 0*k + 4*k as x + m*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 20 = 2*q. Let x(t) = t**2 - q*t**3 + 12 + 2*t**3 - t + 3*t**3. Is 6 a factor of x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p - 429. Let u(t) = 14*t - 643. Calculate -8*r(m) + 5*u(m).\nAnswer: -2*m + 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**7\/420 + z**6\/180 + 2*z**3 - 3. Let f(r) be the third derivative of w(r). Factor f(a).\nAnswer: 2*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94329 is divided by 1754.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788577479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (148 - -73)\/(-3 + (0 - -2)). Which is the biggest value? (a) -1 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.2559 times -0.2\nAnswer: -3.85118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*o - 164 = 184*o. Let a = -34 + o. What is the lowest common multiple of 18 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 4*j + j + j + 7*j + 12. Let t be k(-12). Suppose 4*s + 33 - 13 = t. Sort 3, 1, s in descending order.\nAnswer: 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m)**18 assuming m is positive.\nAnswer: m**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(-18)*2 + 4\/(-18). Is -1 - -2 - p - (-162)\/6 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 79, 138, 197, 256?\n\"Answer: 59*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + d + 1. Let g(s) = -2*s**2 + 3*s + 1. Suppose 1496 = -4*z - 4*m, 14*m = 4*z + 19*m + 1495. Let a = 372 + z. Determine a*y(l) + g(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 602a52 + -3?\nAnswer: 602a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.668 + -4.145. Let j = u + 1.58. What is j rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271632 divided by -6?\nAnswer: -45272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1655\/3 + 552. Let a(m) be the third derivative of t*m**3 + 0 + 1\/480*m**6 - 17*m**2 - 1\/24*m**4 - 1\/120*m**5 + 0*m. Find p such that a(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 712881 and 40950?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -205*s**2 - 13114*s + 382. What is f(-64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36422*r - 72855*r + 36432*r - 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2940.1 - -3113. Let w = -173 + d. Let o = 0 + 0.1. Which is the closest to o? (a) w (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.921236us in seconds?\nAnswer: 0.000005921236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.373 + -3.047. Round d to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 6*f - 4. Determine v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-35 - -38)) + 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202402 equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2545 (base 6) in base 12?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14011872 and 1000848?\nAnswer: 14011872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12066 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-4 - -6 - 3). Let o be ((-1)\/(-6))\/((-1)\/w). Is -1*(o*-266 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*x = -403*x + 2480. Calculate the greatest common divisor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9554 + 16682. Suppose -20*d + 8*d + u = 0. What is the greatest common divisor of 54 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 837b67 (base 12) to base 5\nAnswer: 1012112443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(2))\/sqrt(3).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 s when four letters picked without replacement from {u: 11, s: 5}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.23 - -24.87. Let x = -30 + u. Which is the nearest to -2? (a) -0.2 (b) x (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 168 = -4*m, -m + 20 + 16 = v. Let t = 30 - m. Let d(z) = -z**2 - 10*z + 3. Let s be d(t). Solve 0 = -s*k + 5*q - 15, 5*q + 10 = -3*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 5*j**2 - 4*j + 4. Let t = -220 + 165. Let v = 51 + t. Let l(q) = -2*q**3 - 4*q**2 - 3*q + 3. Determine v*l(a) + 3*n(a).\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 0.4, 4, -44, 10, -11?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:51 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f + 49 = -u, 6067 = -4*u + 7*f + 6102 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = -5*v, 5*g + 4 + 7 = -2*v. Suppose -3*n + 4*r - 2 = 2*r, 5*n - 3*r + 4 = 0. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-28188)\/270)\/(-18))\/1\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 4, -2*b = 3*m - 98. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 - 5*n + 1. Let v(k) = -11*k**2 - 11*k + 2. Calculate 13*a(t) - 6*v(t).\nAnswer: t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*d = 16, -h - 2*d = -d - 4. Suppose 10 = l - h. Suppose 2*s - 22 = -2. What is the remainder when l is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 2*w**3\/3 - 2*w**2 - 3*w - 2. What is the units digit of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 3*d**5\/20 - 6*d**3 + 24*d**2 + 110*d + 1. Factor r(k).\nAnswer: 3*(k - 2)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m**2. Let l(h) be the first derivative of h**2 - 5. Determine v(l(c)).\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7315*u**3 - 6925*u**2 - 28. Let v(r) = -2*r**3 + 2*r**2 - 2. Let k(g) = q(g) - 14*v(g). Find the third derivative of k(c) wrt c.\nAnswer: 44058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/(-10) + (-4046)\/238?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106200200 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6595 - -518. Let v(b) = -b**3 + 69*b**2 - 128*b + 1171. Let a be v(66). Suppose -3*g = -2*p - s, 4*g - 3688 - a = p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 145*j**2. Let w(z) = -5*z**2. Calculate l(w(y)).\nAnswer: 3625*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21.9*-1.63\nAnswer: 35.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*z - 2*z. Suppose 0 = -3*w + 5*w - z. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 2*x**5 - x**5 + (-3*x + 2*x - x)*(0*x**4 - 2*x**4 + x**4) + (0 + 2*x + 0)*(-x**4 + 31*x - 31*x) + (2*x**2 - 3 + 3)*(2*x**2 - 2*x**2 - x**3).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Let j(f) = -f**3 - f + 20. Let g be j(b). Let t be (-2)\/(-6) + g\/12. What is the greatest common factor of t and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103 - -93) + 30 + 1 - 35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**4 + 189*s**3 + 2313*s**2 - 111729*s - 113850 = 0.\nAnswer: -25, -1, 23, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 45*u - 90 = 0. What is u?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3634*x + 27417 = -34361 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1377) + sqrt(1377))*-4 + 2)**2 + (sqrt(17)*-1)**2*1 + 3*(sqrt(17) + 2 + sqrt(17)).\nAnswer: 294*sqrt(17) + 88155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 1, q: 1, d: 2, e: 1, s: 1}. Give prob of picking 1 q, 2 d, and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10418, 10423, 10428, 10433?\n\"Answer: 5*w + 10413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r - 2*r - 10*r. Let f(b) = -16*b. What is v(f(a))?\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -13) + -26 + 19 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110111100010 - -1?\nAnswer: -100110111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let o = 528 - 528. Let q(l) be the second derivative of 0*l**2 - 1\/2*l**3 - 3*l + o. Calculate q(h(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(605)*1 + -4)*3)**2*4 + 0.\nAnswer: -1584*sqrt(5) + 21924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/sqrt(11) + -2 + 2)*5)**2*-6.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from ibtitbbbibbtttttittt?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.2. Let n = 277.8 - 278. Let s = 236.6 + -237. What is the third smallest value in s, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7725284243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2656 + -1472. Suppose 2*i + 1602 = 4*w + 7*i, -5*i = -3*w + l. What are the prime factors of w?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 16*n**2 + 10. Let z(g) = -g**2 - 5*g + 22. Let m be z(-6). What is v(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -37 + 13. Suppose -19 = 7*p - 131. Calculate the smallest common multiple of p and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*s - 211 + 149 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 36 = 4*i - 3*b, -i + 13 = -2*b. Let q(n) = 11*n - 4. Is q(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 1. Let m(g) be the first derivative of -g**2\/2 - 569. What is 3*d(v) + 5*m(v)?\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + k**2 - 7*k. Let l(q) = 4*q**3 + q**2 - 8*q. Let y = 7 - 1. Let b = -86 - -81. Calculate b*l(w) + y*m(w).\nAnswer: -2*w**3 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 - 14*b + 36. Let c be d(8). Let f = c - -78. Solve 0 = -f*n + 4*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119372653 a multiple of 4494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 25 = 5*x. Suppose -j + 0*s - 21 = -s, x*s - 57 = 3*j. Is 12 a factor of 0 + -1 + 1 - j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4aa - 353d?\nAnswer: -3073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1443.356 * 0.4\nAnswer: -577.3424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31341.1*0.4.\nAnswer: 12536.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:43 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q + 2. Let x(s) = 29*s - 3. Determine 5*j(p) + 3*x(p).\nAnswer: 12*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4703438, -9406878, -14110318, -18813758?\nAnswer: -23517198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 (base 15) in base 7?\nAnswer: -2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.03, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10915598?\nAnswer: 2, 17, 321047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553031 and 1477?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/252)\/(8\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4922 is divided by 4909.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2 and 7\/20582?\nAnswer: 20582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28880*z**2 + 2280*z + 45.\nAnswer: 5*(76*z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*r - 12954345 - 1839255 = 0. Is r a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21.8 (b) -2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from bbzllbbbllbbzllbb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 141, -3 in decreasing order.\nAnswer: 141, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 64 = -3*g - 0*o, 5*g - 80 = 5*o. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 63 + 55 + 45*u + 3*u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from loooffoaaoo?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14033680 rounded to the nearest ten thousand?\nAnswer: -14030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52412 (base 7) to base 3.\nAnswer: -122200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9666087025 - 19?\nAnswer: 9666087006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 56. Let p be v(15). Let r(j) = j**3 + 2*j**2 - 2*j + 3. Calculate r(p).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 152, 220, 320, 452?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -2*f**3\/3 - 9*f**2\/2 + 6*f. Does 2 divide i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 5*f - 4 - 6 + 173 - 8.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -468\/7*d**3 - 19164\/7*d**2 - 71136\/7*d - 3\/7*d**4 - 69312\/7.\nAnswer: -3*(d + 2)**2*(d + 76)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5 + 163*r - 69*r - 97*r. Let j(v) = 6*v + 9. Give -5*j(a) - 9*s(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15179181 * 3\nAnswer: 45537543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7137\/2 + -3567. What is c in 1\/2*c**3 + 0 - f*c + c**2 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -253*r**3 - 11*r**2 + 82*r**3 + 86*r**3 + 26 + 86*r**3 - 8*r. What is the least common multiple of u(12) and 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/5 in 1\/8, 1, 1\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104.91559 - -0.19841. Let p = 0.114 - f. Let m = p + 104.999575. Round m to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/6267091 or 1?\nAnswer: 27\/6267091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1331) + 1)*-5 + 0)**2*-1.\nAnswer: -33279 - 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23970000 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -3116 in descending order.\nAnswer: 7, -4, -3116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*2*1)\/((sqrt(80) - sqrt(5))*5).\nAnswer: -4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/(-172)*(-16)\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqd when three letters picked without replacement from sjgqqgjqdjqqqjjjs?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 355425157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101010011221121210 - -2?\nAnswer: 1101010011221121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.4, -231\/25, 0.04 in ascending order.\nAnswer: -231\/25, -0.4, -1\/4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4 + -1 + sqrt(11) - (sqrt(11) - 5*(sqrt(176))**2)) + (-1 + sqrt(539) - (-1 + sqrt(396) - sqrt(396) - sqrt(396))**2))*-5.\nAnswer: -150*sqrt(11) + 14310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448432 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {v: 1, w: 18, n: 1}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 232785 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9501414 to 2 decimal places.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6169 and 1393?\nAnswer: 43183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 137*g - 255. Let l be k(8). What is the highest common divisor of 58 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6016, -6000, -5956, -5872, -5736, -5536, -5260, -4896?\n\"Answer: 2*z**3 + 2*z**2 - 4*z - 6016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 12*i + 28. Let v(l) = l**3 + 7*l**2 - l - 21. Let w be v(-7). Let g be b(w). Solve g = -18*h + 15*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/3, 3\/7, 27.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.6 + 10. What is the closest to -2\/3 in p, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 0 - 0\/(-1). Suppose -2*u + h = -4. Let s be (-6)\/2 - (-3)\/u. Which is the third biggest value? (a) -3 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u - 5*a, 4275*a = 4278*a - 6. Suppose -6*s + 48 = -4*s. Suppose 3*o + 3*y = s - 93, -y - 2 = 0. Put o, u, 0 in increasing order.\nAnswer: o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 79 = h - 2*h, 3*h + 105 = 3*i. Let s be 2\/((4\/i)\/(-1)). Let t = -11 - s. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, d: 1, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0*b - b + 26*b - 5*b. Let m(a) = -14*a. Calculate t(m(z)).\nAnswer: -280*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/(-5))\/(8 - 0)*8. Suppose 6*n = n + 140. Solve n = u*q - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*l**3 - 1998922*k**3 - 23*k*l**3 + 2*k*l**2 - 8634*k + 2*l**2 - 2 wrt k.\nAnswer: -12*k*l**3 - 11993532*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13546 (base 7) to base 13\nAnswer: -18c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (5 - 10 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*6100.\nAnswer: 219600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 25*b**2\/2 - 34. Let q(h) = 5*h**2 + 3*h. Let s(l) = -9*l**2 - 5*l. Let y(o) = -5*q(o) - 3*s(o). Determine y(u(c)).\nAnswer: 1250*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 55324 (c) -5 (d) -4 (e) 4\/7 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 5 - (18 - (18 - -13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (47 - (36 - -33)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714786 to the power of 1\/2, to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 3*x. Let z be j(4). Suppose z*p - 27 = 25. Suppose -5*t = -2*s - p, 0 = -0*t + 3*t - s - 7. Solve -2*u + t = -3*m, -m = -3*u - 0*m - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2450 - -6513. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 9*z**2 + 6*z + 9. Let r be -3*((-60)\/(-9) - 4). What is the tens digit of d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -19\/6*i**4 + 0*i**2 - 23\/10*i**5 - 20*i + 0 + 0*i**3. Find the third derivative of n(g) wrt g.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2645 - (-2 + -3) - (-1 + -1). Suppose 0 = -4*u - 8*u + c. List the prime factors of u.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 242 = 178. Let i(b) = 1 + d*b**2 - 4 + 36*b**2 + b + 3*b. What are the prime factors of i(1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 45481 and 45481 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1099.5 times 0.98\nAnswer: 1077.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) 2\/19 (c) 7818 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 plus 184734176023?\nAnswer: 184734176268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 849, 1697, 2547, 3399, 4253?\nAnswer: 5109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2 + 39*x**2 - 42*x**2 - 5 - 6*x = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) - sqrt(392)*1) + sqrt(392))**2 - sqrt(200)*-3.\nAnswer: 30*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*2)\/sqrt(12) + (sqrt(171)*2 + sqrt(171))\/sqrt(9))**2 + sqrt(2736) + -4*(sqrt(2736) + sqrt(2736)*2).\nAnswer: -132*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 10*r + 2. Let c(x) be the first derivative of 0*x - 9 + 1\/2*x**2 - 1\/3*x**3. Determine -6*c(l) + m(l).\nAnswer: 2*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 2*q**4 + 5 + 4*q**4 - 15*q + q**3 - 7 + 0 as r*q + j*q**4 + u + y*q**3 + z*q**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992184628 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 20785 = -21*k + i, -3*i + 15 = 0. Calculate the least common multiple of k and 6.\nAnswer: 12468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - 7) - (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + x - x - 7*x + 4*x - 32.\nAnswer: x - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 9. Let m be (-18)\/(-10) - (-5)\/25. Suppose -5*g + 3 = m*o, -5*g = 3*o - 2*g. Sort f, -1\/4, o.\nAnswer: f, o, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 546524206*r*y - 233978922*r + 2 wrt y.\nAnswer: 546524206*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190827 divided by 14.\nAnswer: 27261\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(sqrt(3) - sqrt(3)*-1) - sqrt(3))**2 + 1 + -2 + ((-2*sqrt(165))\/sqrt(11))\/sqrt(5) + sqrt(432) + -1 + 3.\nAnswer: -2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 8*g**2 - 3*g + 9. Let i(l) = -l - 15. Let d be i(-7). Let r be p(d). Let m = r - 21. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.849 - 0.227. Let v = k + 0.038. What is v rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 2.2. Let s = 5 + -8. Let o = -0.22 + 0.72. Sort f, o, s in increasing order.\nAnswer: s, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 225 = -r + 172, -2*g + 203 = 5*r. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.37202 or -7\/554?\nAnswer: 0.37202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + (-1 - (-2 + 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9208507*a + 19792992 wrt a?\nAnswer: 9208507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 71 = 101 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 1650*f + 10008.\nAnswer: -3*(f - 556)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15870442.\nAnswer: 2, 7, 181, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7292 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 14261630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, b: 1, p: 6, e: 1, o: 1}. Give prob of picking 1 p, 1 b, and 2 a.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8283445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -179 and 5.62.\nAnswer: -1005.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let m(q) = -13*q**2 - 30*q + 33. Let t(x) = -7*x**2 - 16*x + 17. Let i(b) = -8*m(b) + 15*t(b). Calculate i(n(u)).\nAnswer: -4*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 20*i - 18311193. Let m = -2817129 + i. What is m rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538.354 at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*v + 3, -4*a - 5*v = 221. Let f = -86 - a. Let p = f - -42. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.621 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -39. Let b = 22 - 16. Let s be (-96)\/(4*(-1)\/b). What is the highest common divisor of t and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + d**2 - d - 1. Let l(a) = -18*a**3 - 3*a**2 + 3*a + 4. Calculate 2*l(h) + 6*o(h).\nAnswer: -30*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.12 (b) 0.3 (c) -6 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1097*a*h**4*k + 24*a*h**3*k**3 + 113*a*h**2*k**3 + 5*a*h*k + 47*h*k**3 wrt h?\nAnswer: 26328*a*h*k + 144*a*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6 = 0, 0 = -4*x - 20*u + 15*u + 42 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/8)\/(v*v**(-3)))**(2\/39)\/((v**0)**(1\/30))**(-27) assuming v is positive.\nAnswer: v**(5\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-36) + (-14)\/(-18). Suppose 5*x - 14 - 1 = 0. Let m be 33\/(-36) - (-2)\/x. Is z less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106\/(-10 - -63)*15\/4530?\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22656 + 0.11083066434.\nAnswer: 22656.11083066434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 15) to base 7.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 9:50 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**25*u)\/u**(1\/12))\/(u**10)**(23\/3) assuming u is positive.\nAnswer: u**(-203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 476*x**3 - 789*x wrt x.\nAnswer: 2856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31224 (base 5) to base 7.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003241188 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 5*m**3 - m**2 - 16*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(18\/7))**2*(x*x**(1\/3)*x**1)\/((x*x*x**3)\/x**(-4)) assuming x is positive.\nAnswer: x**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c - 23*c**2 + 0*c**3 + 0 - 1\/12*c**4. Let s(x) = 4*x**2. What is s(k(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*m + 22*m + 23*m - 2*m + 3*m - 2*m + (3 - 1 + 0)*(-3*m + 4*m - 3*m) + 3*m - 2*m + 0*m - 3 + 2*m + 3 as a*m + s and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -323510 (base 6) in base 15?\nAnswer: -7dd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -20. Let l(q) = -q**3 - q + 8. Let m be l(2). Sort 4, m, 2, n in ascending order.\nAnswer: n, m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 767415*o**3 - 13437*o - 5?\nAnswer: 4604490*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 3*d**3 + (-5*d**2 + 2*d**2 + 0*d**2)*(-4*d + 0*d - d) as c*d**2 + s*d + z + i*d**3 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 1269 - 251. What is the greatest common divisor of 38 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -559*g*u**4 - 8*g*u**3 - 551*g*u wrt u.\nAnswer: -6708*g*u**2 - 48*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - 0 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02474 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (25226\/18 - 2) + 28\/(-63) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2123, 2572, 1345, -1558, -6137?\n\"Answer: -838*g**2 + 2963*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 29 = 7. Let v(d) = -d**2 + 5*d - 2. Let r be v(2). Suppose -5*j + 150 = -r*i, -i = -3*j + 51 + 32. Calculate the remainder when j is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 4:38 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (-5 + sqrt(396) + 1)) + sqrt(396) + (sqrt(396) - -5*2*sqrt(396))**2 - 1*(5 + (sqrt(396) + sqrt(396) + -2)**2).\nAnswer: 54*sqrt(11) + 46327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49452 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3\/80 (c) 1\/4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1719*c - 292 + 50143 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/((-1)\/12). Let l = q - 5. Suppose 2*w + x - l = 0, 16 = -5*x - 9. Solve -2*o = -2*g, -12 = -w*o + 5*g - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3069, -2\/9, 6\/31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 4*m + 1. Determine s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 306*a**2. Let m(q) = -10*q**2 + 243*q + 27. Let d(p) = -p**2 + 27*p + 3. Let t(g) = 36*d(g) - 4*m(g). Determine t(v(n)).\nAnswer: 374544*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose -21 + 93 = s*l. Calculate the least common multiple of l and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202177*m**4 - 57997 wrt m.\nAnswer: -808708*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.5894 days in microseconds?\nAnswer: 14911724160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/9)\/(((c*c**2\/c)\/c)\/c)*c*c\/c**(4\/3)*c**(2\/7)*(c**1)**(-35)*(c\/c**(-2))\/c*c*c**(2\/3) assuming c is positive.\nAnswer: c**(-1928\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 7*w**2 - 9*w - 8. Let t be u(-8). Find the second derivative of 0 - m - m + t + 2*m**5 wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, x: 2}. What is prob of sequence xxcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(1300)*2 - ((sqrt(1300) - (sqrt(1300) + 0))*2 - (sqrt(1300) + 0 + 3 - sqrt(1300))**2)) + 1.\nAnswer: -80*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let h(a) be the third derivative of 0 - 1\/24*a**4 - 16*a**2 - 1\/2*a**3 + 0*a. Determine 2*h(y) + 4*z(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 2 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2101*b*k**3 - b*k - 101934981*b - 2*k**2 + 234*k - 2 wrt k?\nAnswer: -6303*b*k**2 - b - 4*k + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5705825 rounded to the nearest ten thousand?\nAnswer: -5710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*o = -660 - 8250 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3878.4 + 3878.36. Let f = 94 + -655\/7. Which is the nearest to 0? (a) l (b) 1.2 (c) -0.1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1011 or -1010?\nAnswer: -1011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {k: 2, z: 1, s: 1, a: 1, d: 2, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/168840 and 127\/4824.\nAnswer: 168840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10632114.\nAnswer: 2, 3, 401, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -45, -2\/5, 3.893 in decreasing order.\nAnswer: 3.893, 1\/9, -2\/5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + -1135501?\nAnswer: -1135530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2815*k**2 - 5*k - 4. Let d be y(-1). Suppose -5*m + d = 6*m. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*z - 426 + 21 = 0. Solve d + 2*d + 3 = -4*q, 3*q - z*d = 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58223, 116421, 174619?\n\"Answer: 58198*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7360 + 1?\nAnswer: 7361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 3. Let n be p(3). Let w = 4 + n. Let l be -1*(21\/(-6) + 3). Is l at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 89 = 7*q. List the prime factors of q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -2.2, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 39*s**2 + 9*s - 9. Suppose -2*b - 13*b = -6*b - 18. Let h(r) = -10*r**2 - 2*r + 2. What is b*p(i) + 9*h(i)?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5516048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2345 and 97020.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/67 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34 + ((-1)\/4 - (-63)\/(-36)). Suppose -2*z + 2*t = -22, 0 = 5*z - 3*t - c - 17. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27063 divided by 22\nAnswer: -27063\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.015004\nAnswer: 0.0045012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 5 = 20*m. Let s be 204\/85*(-15)\/m. Let b(k) = 2*k + 9. Let q(c) = -2*c - 9. Let f(v) = 4*b(v) + 3*q(v). What is f(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (141*g + 235*g + 129*g - 91*g)*(3 - 2 + 1)*(38*g - 90 + 90) to v*g**2 + r + t*g and give v.\nAnswer: 31464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 12) to base 4.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:09 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-12) + (-5615)\/(-4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 2*r + 1. Let z(t) = -t**2 - 5*t + 7. Let g be z(-6). Calculate o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220768 is divided by 94?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/360 - 25*l**4\/36 - 625*l**3\/9 + 2*l**2 - 211. Suppose h(o) = 0. Calculate o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzi when three letters picked without replacement from ziipzsppp.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3 - 14260*a**2 - 3595200*a - 219168000 = 0.\nAnswer: -120, 3805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171) + 5)**2 - (1 + (2 + sqrt(19))**2 + 1).\nAnswer: 20*sqrt(19) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-56))\/(2\/(-8)). Which is the smallest value? (a) 0.3 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644768779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.98500285 to zero dps.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*h - 0*d + d, -2*h - 2*d + 46 = 0. Let a = 29 - h. Calculate the remainder when 20 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*-1*-6)\/(sqrt(484) - (sqrt(484) + sqrt(484)*-3) - sqrt(484)).\nAnswer: 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2 - 8)*6. Let c = t + -1. Let s(m) = m - c*m + 0*m. Let v(l) = 8*l. What is s(v(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let p be (5\/10)\/(3\/6). Let i(l) = 2 - 148*l + p + 155*l. What is i(c(m))?\nAnswer: -14*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1299.46 + 311\nAnswer: -988.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 3*a**2 + 8*a - 13. Let n be b(2). Let d(y) = 10*y + 2. Give d(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u**2 + 2*u + 2. Let s(j) = 12*j**2 + j + 3*j**2 - 17*j**2 + 3*j**2. Let v(f) = d(f) - 3*s(f). List the prime factors of v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence app when three letters picked without replacement from awqwapapppwpawp.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 + -1)\/(-2)*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20126227 and 10703?\nAnswer: 140883589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 27441, 87, 3 in descending order.\nAnswer: 27441, 87, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13560 - 17447 = -39*w + 105454. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -12, -1, -11 in ascending order.\nAnswer: -12, -11, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 2*h - 1. Let l(j) = 5*j**2 - 4*j - 3. What is -4*l(z) + 7*u(z)?\nAnswer: z**2 + 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*r - 294*r = -1606*r - 2734 - 2076 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -2*r + 5*d - 14, 3*d + 23 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 3\/2 in descending order.\nAnswer: 3\/2, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244041129.\nAnswer: 3, 71, 381911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 827246130 divided by 55113.\nAnswer: 15010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10927000 > -10927000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2992.9 to the nearest ten.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:12 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78195 - -202548. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 57 = 3*w + 21*v, -2*w + 4*v - 14 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 233*m - 8949156. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -954\/77 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -963 + 959. Sort n, 3\/7, 214, 0.1 in increasing order.\nAnswer: n, 0.1, 3\/7, 214","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 296. Let w = 717 - 328. Let m = s + w. Calculate the remainder when m is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**8\/56 - 13*c**5\/10 - 113*c**4\/12 - 11*c - 3. Find the third derivative of a(m) wrt m.\nAnswer: -120*m**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 10*g**2 - 2*g**2 - 8*g**2.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18 (b) 1\/2 (c) -476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h. Let a(g) = -2*g - 6. Let w be a(-6). Suppose h*v + w = 3*v. Solve o + 12 = -v*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -131, 2 in ascending order.\nAnswer: -131, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15517897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 7. Let y be m(-6). Let z be 8\/(-36)*6*-3. Suppose 0 = -2*t - 10, -9*l = -13*l - 4*t - z. Solve y*b + 11 = -p - 9, l*b = 4*p - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12045960.\nAnswer: 2, 3, 5, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqee. What is prob of sequence qee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 105351\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 54*p + 4. Let k(b) = b**3 - 2*b - 1. Let v be k(2). Let m be u(v). Suppose m + 340 = 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s - 20. Let y be h(3). Let m(g) = 6157*g**3 - 2*g**2 + 34*g + 9. Let q be m(y). Round q to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3890*i - 1551 + 56 = -3825*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, b: 1, m: 7, p: 2, q: 1, f: 1}. What is prob of picking 1 b and 1 m?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-47*(-3417)\/2397?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 - 7098*m**2 + 35433*m - 42498 = 0 for m.\nAnswer: 2, 3, 2361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123228, -246361, -369494?\nAnswer: -492627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/32 and 25\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 255.56894 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 61 + 41 = 0. What is l in -64 + 17*l**s + 8 - 4*l**3 - 5*l**2 + 36*l + 7*l**2 + 5*l**2 = 0?\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**3 + 2*f**2 + 6*f + 4. Let x be j(-1). Let u(r) = r**2 - 3*r - 10. Let i be u(x). Solve 2*m + 2*m = i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 6. Suppose -4*z = f + 6. Let c = z - -8. Solve -10 - c = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {g: 7, i: 7, p: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:37 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 61. Suppose -3*g + l = -2*g, 4*g + 2*l - 12 = 0. Suppose 0 = -g*p - 2*z + 36, 2*z + 6 = 2*p - 18. Let j be u(p). Solve 4*r = -j - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643 - 642.2. What is the closest to -2\/7 in -1\/7, 5, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77 + -71 + -32*3\/15. Which is the nearest to 25? (a) h (b) -1\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23a36 + -1?\nAnswer: 23a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -374?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 - (6 - -3 - 9). Let h(u) = u**3 - u. Let r be h(1). Put r, -5, d in increasing order.\nAnswer: -5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11231, 44931, 101099, 179735, 280839, 404411, 550451?\n\"Answer: 11234*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35855 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20695617?\nAnswer: 3, 19, 37, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (17\/(-5) + 1). Suppose -i + i = 3*i. Suppose i = 3*z - 45 + 54. Which is the nearest to 1? (a) z (b) 6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millisecond in microseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 - -6)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068 divided by -313.\nAnswer: 1068\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6633 divided by 5?\nAnswer: -6633\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 - -1240. Does 39 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -600.98 + 596. Let i = 0.02 - s. Let g = 2441.66 - 2441.46. What is the fourth biggest value in i, 13, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 251*y**2 - 2157*y + 5081. Give a(-242).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 0)*(-786*y + 148*y - 2647*y) to the form o*y + x and give o.\nAnswer: 9855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:47 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:50 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9242.9 + 9243. Which is the smallest value? (a) 1\/3 (b) s (c) 402\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176532.\nAnswer: 2, 3, 47, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 - 785*i**2\/6 - 1573*i\/6 - 787\/6.\nAnswer: (i - 787)*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i**3 - 15*i**3 - 25*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 283 and -0.82.\nAnswer: 282.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997 is divided by 278.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -635 - -623. Which is the nearest to -1? (a) k (b) -1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 1, x: 2, w: 2, r: 1, e: 5}. Give prob of sequence ox.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -17*s + 5 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/221505 and 13\/96255.\nAnswer: 1421397585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-452)\/92208).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -72. Let a(g) = -g**3 - 11*g**2 - 2*g - 19. Let q be a(t). What is the third derivative of -17*r**2 - 17*r**q - 4*r**3 + 5*r**3 wrt r?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226216 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84792 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15468565 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + -3 - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 + 133*s**2 + 33*s - 8. Determine x(-33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*sqrt(143)*-1 + sqrt(143)*1*-2)\/(6*(sqrt(1331) - 2*sqrt(1331))) + -5)**2.\nAnswer: 50*sqrt(13)\/33 + 27550\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 11. Let q be z(0). Let w(k) be the first derivative of 104*k**2 + 11 - q*k**3 + 0 - 99*k**2. Find the second derivative of w(r) wrt r.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 80 = 6*z. Suppose 0*g + 76 = -5*g + k, 17 = -g + 2*k. List the prime factors of ((-6)\/g)\/((-2)\/z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 828396120.6 to the nearest 100000.\nAnswer: 828400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*-8428\nAnswer: 16856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -547432 * -5.\nAnswer: 2737160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/9 - 8\/(-36). Let k = -5\/2 - i. Let r = -0.3 + 0.4. Which is the nearest to r? (a) 2\/3 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d - 25, -2193 = -2*j - d. Is 80 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 + 7*v - 1. Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-12))\/(11*5\/(-220)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 11*y + 4. Let h be u(-7). Suppose h*x = 7*x + 90. Solve -x*o - 20 = -10*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 45 - 635\/(-2 + -10 - -17)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33421 (base 5) in base 8?\nAnswer: -4471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 49 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4848 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 679190 and 322920?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237612.\nAnswer: 2, 3, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 167*v**3 - 9*v**2 + 21*v + 9. Let y(p) = 209*p**3 - 11*p**2 + 26*p + 11. Determine -11*t(m) + 9*y(m).\nAnswer: 44*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:27 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 1\/7 (c) 32\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - 11 - 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 1187410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-5)\/(5\/(-2)). Suppose 0 = -2*l + 4*a - 20, -3*l + k = -7*l + a. Calculate the common denominator of 64\/9 and l\/6 + 238\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 - 5*u + 6. Suppose 3*n = 8*n - n. Let p(c) = c**3 - c**2 + 2*c - 1. Let g be p(n). Let v(m) = m**2 - m + 1. Give g*r(q) + 5*v(q).\nAnswer: -q**3 - 3*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*i - 19*i - 2340. Solve i*b - 536 = 11*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13184 - -13199. Solve -12*m + 2*c + 3 = -7*m, -m = -3*c + z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 987729*g**2 - 4*g + 5. Let n be k(4). Let u = 10003653 - n. Round u to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6569 less than -638295?\nAnswer: -644864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*w = -171*w + 26. Which is the biggest value? (a) 5 (b) w (c) -0.15 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3877957 - -2?\nAnswer: -3877955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5 - 2266*b**4\/5 + 131869*b**3\/5 + 381148*b**2\/5 + 71520*b + 110592\/5 = 0.\nAnswer: -1, -4\/5, 72, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 207 - 3?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501558 by -83593.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t. Let h(q) = 9*q - 3. Determine z(h(x)).\nAnswer: 81*x - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = u + 2*u. Let a = 10 - -11. What is the greatest common factor of a and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 0 + 8\/2. Let n(w) = -2*w + 11*w - 8*w - m - 6*w. Let q(z) = z**2. Calculate n(q(g)).\nAnswer: -5*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*v - 2*j, 3*v + 2*j - j = 39. Suppose -213 = -v*k + 385. Calculate the remainder when 90 is divided by k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**3 + 3\/20*m**5 + 1\/42*m**7 + 0*m**2 + 5*m - 1\/12*m**4 + 0 - 1\/10*m**6. Solve h(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/11, 2\/9, -391, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/21)\/(4*15\/56).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511201?\nAnswer: 511201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q - 1. Let w(f) be the third derivative of f**4\/2 + 2638*f**2 + 2. Determine c(w(u)).\nAnswer: -108*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/76? (a) 3\/2 (b) -2 (c) -18 (d) 0.5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*a**2*v + 5561*a**2 - 5*a*v**2 + 3*a - 162*v**2 - 3*v - 288 wrt v?\nAnswer: 15*a**2 - 10*a*v - 324*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 7*h - 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/36 and ((-42)\/(-255))\/(60\/(-475)).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -87, -175, -263?\n\"Answer: -88*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4611 or 4615?\nAnswer: 4611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -313, -221, -69, 143, 415, 747?\n\"Answer: 30*t**2 + 2*t - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4367*x + 26 = 4365*x + 2*n, 5*x + 3*n - 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 176 + -472?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, -5, -33 in descending order.\nAnswer: 4, 2, 1, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -568647163 and 4.\nAnswer: -568647159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*0 + 3\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n*n**(2\/5)*n))*n\/n**(2\/3)*n**(-13)\/(n\/(n*n**(5\/2))) assuming n is positive.\nAnswer: n**(-203\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Let j be (660\/90)\/(4\/6). What is the biggest value in w, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681340848 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3230656871 to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2\/7 - 4161135*h\/7 - 16644492\/7 = 0.\nAnswer: -1387041, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/120 + w**4\/18 - 5*w**3\/36 + w**2\/6 + 15*w. Suppose x(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 - 54 = 0. Suppose -5*g + 5*t = -70, -2*g + 4*t = 5*t - q. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 - 2 = 0. Let z(a) = -4*a + a**2 - 5*a + 1 + 6*a - r. Give z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*k - 734, 3*b - 5*b + 4*k = -766. What is the greatest common divisor of 50 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 2 = -8*d, 258 = 4*u - 2*d. Calculate the remainder when u is divided by 65.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102.05 + -33.05. What is the smallest value in z, 2\/7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.015 (b) 101 (c) -718 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Let q(z) = 109*z**2 + z. Give y(q(s)).\nAnswer: 23762*s**4 + 436*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42517 or 43022?\nAnswer: 42517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27440 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 - 126. What is the second derivative of -7 + 979*v - 977*v - 18*v**4 - 2*v**r + 62*v**4 wrt v?\nAnswer: -40*v**3 + 528*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/16 and (0 - -3)*(-201)\/(-54)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhuv when four letters picked without replacement from {h: 9, f: 1, v: 2, w: 1, u: 7}.\nAnswer: 21\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 - 2)) + 0 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**4*n*p + 2*l**4*n + 4*l**4*p**2 - 116*l**2*n + 2*l*n - 2*l*p**2 wrt l?\nAnswer: -48*l*n*p + 48*l*n + 96*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -319*-0.3\nAnswer: 95.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 72143.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -20 + -1 - (0 + (-5 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 140 = -d, 4*w - 8*w + 2*d + 556 = 0. Let t = -8464 - -8502. Calculate the remainder when w is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 13131)\/(-3 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (4\/((-16)\/(-35)))\/((-34)\/(-4080))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61557 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 4. Let q be i(4). Let j = -5 + q. Suppose -j*x - 8 = -5*x, -y - 3*x + 34 = 0. What is the remainder when 43 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0966518 months in centuries?\nAnswer: 0.0009138765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154565 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a - 5. Let q be y(-2). Suppose -q*x = -228 - 355. What is the remainder when 207 is divided by x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39 - -1156)\/(2\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*z - 3*p + 3, 0 = -z + 3*p + 6. Let m be (-81)\/(-18) + 3\/z. Solve 2*h = 4*x + m*h + 3, -2*h = 4*x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200913 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 + 2*v - 8. Let m be b(7). Suppose x = 4*x - m. Calculate the remainder when x is divided by (76\/(-4))\/((-6)\/12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2 - 4*t - 3. Let f be w(-2). Suppose -2*b + 5*g = -17, -3*g + f = 5*b - 56. Solve -4*x + b = -4*c, x - 3*c - 1 - 11 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 137*r**2 + 563*r + 116. Calculate a(141).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 297+-90327971\nAnswer: -90327674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 685, 753, 821, 889, 957, 1025?\n\"Answer: 68*y + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.9 - -0.5. Let f = -9.7 + j. Which is the nearest to -3? (a) -3 (b) f (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 7*d - 2. Let s be i(-5). Suppose -117*h + 48*h - 426 = 73*h. Put 2, s, h, 3 in ascending order.\nAnswer: s, h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13027325 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (21 - (-11 + 12))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13363627 is divided by 100478.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 153*d - 112. Let j be q(6). Let s = j - 557. What are the prime factors of s?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2 - 27\/12). Suppose k*r = 0, j + 69 = 4*j - 4*r. Find the third derivative of 0*m**3 + 21*m**2 - 4*m**3 - j*m**2 wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.3342 rounded to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z = 49*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131599\/12 + -10979. Calculate the common denominator of -9\/16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931901, 931891, 931845, 931745, 931573, 931311, 930941?\nAnswer: 930445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - o + 51. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -13879.\nAnswer: 10\/13879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 divided by 32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14471*j*v - 19*v + 318 wrt j?\nAnswer: 14471*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860*-7.\nAnswer: -6020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526 - 553. Find the common denominator of (-5 + (-85)\/(-75))\/(144\/s) and (-6)\/4*(-37)\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.5, -0.5, 13, -18.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y - 37. Let f be a(5). Suppose -5417 + 640 = -f*s - 2*u, u + 1594 = s. List the prime factors of (s\/(-36))\/(3\/(-8)).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -75 - -22 - (-4 + -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2491*y**2 + y**3 - 2491*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + (-14 - (-17 - (11 - -10))).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2073*b + 2075*b = -10, 0 = 4*m - 3*b - 15. Factor 0*a**2 - 2\/3*a**5 + m + 2\/3*a**3 + 0*a + 0*a**4.\nAnswer: -2*a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g + 223 - 213. Is 376 + 16 - g\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143892)\/91360*5\/(-42)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 2*l + 3. Let s be k(3). Let t = -3 - s. Calculate the remainder when 63 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(42)\/sqrt(3))\/((-4*sqrt(84))\/sqrt(12)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*s - 3, -5 = 5*s + 5. Let z be (-42 - -47) + (-18)\/2. Put 5, v, z in descending order.\nAnswer: 5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 17. Let l(q) = -2*q - 12. Let d = -21 + 21. Let k be l(d). Is a(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 10*b**2 - 11*b - 1. Calculate t(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 243 + -102?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 68 = -5*s, 0 = 13*d - 9*d - 2*s - 316. Calculate the highest common divisor of 286 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.011, 0.2, -1.148257, 2 in descending order.\nAnswer: 2, 0.2, -0.011, -1.148257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/213 in 790, 3, -3\/7, -6\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25997047 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743677.\nAnswer: 11, 67607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1386 divided by 231\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 - 4*i**2 + (-2 - 17 + 0)*(-4*i**2 + i**2 + 5*i**2))*(-2*i + 3*i - 2*i).\nAnswer: 41*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*b = -6, -5*b + 0*b = -3*q + 10. Let s = 72 - 67. Suppose -q*h - 1650 = -s*k, 4*k - 2*h + 46 = 1376. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*p + 386, 8*p + 146 = z + 3*p. Calculate the greatest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1579 and 1665303?\nAnswer: 1663724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -643, -3634, -8623, -15616, -24619, -35638, -48679, -63748?\n\"Answer: -n**3 - 993*n**2 - 5*n + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 4*g**2 - 8*g + 3. Suppose 3*w - w = -3*r + 8, -3*r = w - 10. Let q(d) = 2*d**3 + d**2 + 1. Let v(b) = r*f(b) + 4*q(b). Factor v(t).\nAnswer: -4*(t - 2)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 6*g + 3. Let h be 1*3*(-14)\/(-6). Suppose 0 = -j - 4*k + h*k - 1, -13 = -5*j - 3*k. Calculate the lowest common multiple of j and p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 + 4) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 5. Suppose 70 = -6*t + 28. Let j(i) = i - 6. Determine t*g(k) + 6*j(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 165*v**4 - 2*v**2 - 6*v - 2. Let i(o) = o**4 + o**2 + 1. Let j(f) = c(f) + 2*i(f). What is the second derivative of j(d) wrt d?\nAnswer: 2004*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202428821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 (base 4) in base 9?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = -4. Let y be 19*(0 - -1) - m. Let b = 24 - y. Solve -b - 3 = -3*f - 5*t, 0 = 2*f - 5*t + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 75 = 12*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5729?\nAnswer: 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 3. Let v = -1 + 1. Let l be u(v). Let s(f) = 3*f - l*f + f**2. Let z(p) = -3*p**2. Give z(s(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*(-8)\/(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 3*n**2 - 5*n + 1. What is the units digit of x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:46 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = l, 5*f - 4*l - 34 + 4 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 58.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*b**2 - 6*b**3 + 32*b - 29*b - 19*b**2)*(-6*b + 10*b + 6*b) to h*b + g*b**4 + i*b**2 + o + j*b**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3236 - 0.0064. What is j rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 7. Suppose 3*z - 38 = -h. Differentiate -r**3 - z - r**3 + 3 wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 3 - 6)*(216 + 53 + 267 - 12)*(3*a**4 - 2*a**4 + 4*a**4).\nAnswer: 36680*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:28 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 104a - 1?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3 (b) 2\/5 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i = p - 70*i - 7, -4*p = -2*i + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 1017.\nAnswer: 9153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22011 and 79431?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340 + -200. What is the highest common divisor of 56 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1990022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-16))\/((-1)\/((-12)\/9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 7:19 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x - 3*x)*(-2 + 12 + 12).\nAnswer: -132*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1172837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 + 4 = 0. Suppose 2*m - 6 = 2*s + 2, 3*s + v = 2*m. Suppose 5*z - 101 - 64 = m. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12844*b**3 + 3660*b**3 + 3677*b**3 + 1837*b**3 + 3674*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35530 + 117653. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(17)*-2)**2 + sqrt(153)\/(sqrt(45)\/sqrt(5))) + 2.\nAnswer: -7*sqrt(17) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.4. Let w = -3 + -2. What is the nearest to z in 3\/4, w, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1206 = 3*w, -w + 559*f = 555*f - 388. What is the highest common factor of w and 2987?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 8*v + 12. Let h be f(-5). Let m be ((-1)\/5 - -1)*5\/h. Solve -231 = -m*j - 221 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**3\/27 + 149*r**2\/18 + 310*r\/3 - 5490. Suppose s(l) = 0. Calculate l.\nAnswer: -6, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 16 - 16 = 0. Solve -4*y - 1 + 17 = p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.047 (b) -4 (c) 0.168 (d) 773\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 48. What is the least common multiple of j and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**3 - 155*g**2 - 1145*g + 1295 = 0.\nAnswer: -7, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266)\/120 + 5\/(-150)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 323290774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-10))\/(90\/(-60)). Let b(o) be the first derivative of 13 - 5\/2*o**2 + 0*o + d*o**3. Let b(w) = 0. What is w?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/638 and -95\/572?\nAnswer: 16588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-176) + 207\/(-216)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 162 = -555. Let h = -63 - n. Let o = -36 + h. What is the smallest common multiple of o and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 623 - -572. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2114*i - 6 = 2116*i + 3*j, 4*j = -2*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*a + 4 = -80*a - r, r = 2*a - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jboxbbxsrxbjxo. What is prob of picking 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-178910)\/(-154)*1*-3. Let i = c - -19290\/7. Let v = -729 - i. Find the common denominator of v and 95\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -112216*s + 336676. Calculate c(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0075 times 0.5?\nAnswer: 0.00375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(12) - sqrt(132)\/(sqrt(11)*-5))\/sqrt(6))**2 + ((-2*(sqrt(2) + -4) + 2)*-1)**2.\nAnswer: -28*sqrt(2) + 3397\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 33 = 183. Suppose -6*q - 3*q = -m. Calculate the smallest common multiple of 2 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*f = 5*s - 282, 4*f + 152 = 2*s. What is the highest common factor of 108 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -31. Suppose 0*y + 2*u + 18 = y, 5*u + 57 = o*y. Let x(a) = 6 + a + 2*a - y - 2*a. What is x(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:16 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/26 and -33\/50?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10616304 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -6 (b) -4 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14642370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 - 2*z**2 + z + 2. Let b = -7 - -10. Let y be m(b). Suppose -i = -3*f + 131, -2*f + 12 + y = 3*i. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -7 - 3 - (-16 + 21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 - 3*y - 9. Determine j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265135 (base 7) in base 4?\nAnswer: 30022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*t + 121. Let w be ((-8)\/7)\/((-16)\/t). Suppose 4*m + w*g - g - 16 = 0, -g = 0. What is the lowest common multiple of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (189\/14)\/(2\/(-4)). Let v = -15 - y. Let h(p) = -3*p**3 - p**2. Let g be h(-1). Solve g*l - 5*l = -v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.729784ml?\nAnswer: 0.000729784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05231, -0.14, -7?\nAnswer: 0.05231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**2 + 11*a - 70. List the prime factors of u(10).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + 4 + (732 - 782).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:29 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4189026 is divided by 959.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.1 (c) -49 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3. Let z(s) be the third derivative of s**6\/24 - s**4\/24 - s**3\/3 + 2*s**2. Suppose h = -4*h + 20. What is h*n(b) + z(b)?\nAnswer: b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u - 6*u + 7*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 810, 1624, 2438, 3252, 4066, 4880?\nAnswer: 5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)*f**(2\/11)*(f**1)**(1\/13)*(f**(2\/3)\/(f*(f\/f**(-2\/7))\/f*f))**(7\/2) assuming f is positive.\nAnswer: f**(-2749\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27074082 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-12)*-1 + -1. Let r(p) = -2*p**3 + p**2 - 2*p - 2. Determine r(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/112 and -1\/24.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54631 = -8*p - 13431. Round p to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - (3*(sqrt(76) - sqrt(76)*2) - sqrt(76)) - sqrt(76)) + sqrt(76))*4)\/(sqrt(176)\/(sqrt(44) + sqrt(11))).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 30. What is the remainder when 0 + -1 + 388\/1067 + 755\/11 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13238 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 - 168*f + 19. Calculate y(-18).\nAnswer: 1423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1912794918 and 0.5.\nAnswer: 1912794918.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33395 + 70825. Does 197 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13873841 minus -1174?\nAnswer: -13872667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2194 or -15350\/7?\nAnswer: -2194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5\/3. Which is the closest to -9? (a) -2 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7183505, 14366989, 21550473, 28733957, 35917441?\nAnswer: 43100925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c**4 + 0*c**4 - c**4 + 7*c**2 - 6*c**2 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3688 = 4*k + 4*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 + 110.9. Let l be ((-312)\/(-75))\/((-14)\/10). Let o = l - -25\/7. Which is the nearest to k? (a) -4 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**3 + 25*s**2 + s - 21. List the prime factors of g(-9).\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/((-105)\/(-70)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1200 - 1199.8. Put -3, -0.05, 15, h in descending order.\nAnswer: 15, h, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1976 divided by 274\nAnswer: 988\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 - 391 + 25*l**2.\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q - 3\/2*q**2 + 38\/3*q**3 + 0. Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1012, 0, 0.4, 4\/19, -0.2, -2\/5?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 + 118*y - 28. Give n(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*v - 20, 2*v + 0*v = 2*f + 10. Let d = -4 - -6. Let b be f + 6\/4*d\/3. Sort 4, -1, b, -5 in decreasing order.\nAnswer: 4, -1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyytyyyyyky. Give prob of sequence yyt.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10147, -20910, -31673, -42436?\n\"Answer: -10763*d + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let q be 6\/24 - 1017\/w. Let o = q - -439. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2789 and -1009?\nAnswer: -2814101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(9\/5)\/k*k**(-3\/14))\/(k*k\/(k*k\/(k*k**(-1))))**(1\/14) assuming k is positive.\nAnswer: k**(41\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 3, x: 1, d: 3, a: 3, o: 1}. What is prob of picking 1 d, 1 a, and 1 h?\nAnswer: 27\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 631 - 614. Calculate the remainder when 56 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -q - 420, 0*x - 420 = -4*x - 5*q. Suppose 0 = -u + 2*u. Suppose u*d + x = 5*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 107*h**2 + h - 1. Let s be g(1). Let m = s - 65. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/15 - 10\/6. Let g(h) = -h**3 + 3*h + 1. List the prime factors of g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107810119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-386)\/(-506) + 0. Let s = o - -41\/23. Find the common denominator of s and -97\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 2*r**2 + 3*r**2 + 5*r**2 - 4*r**2 + 2*r**2 - 3*r**2 - 2*r**2 + 3*r**2 + (-3 + 3 + 2*r)*(2*r - 2*r - r) - 155*r**2 + r**2 - 145*r**2.\nAnswer: -301*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 205 and 18?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 80.008. Let g = o - -22.008. Let k = g - 22.000034. Round k to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-three eighths of a week?\nAnswer: 79380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {b: 1, q: 1, i: 1, w: 2, s: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17389\/20638 - -42\/607. Let u = 1\/261 + 7045\/522. Let g = u - 52. Calculate the common denominator of g and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*l)*(-l + 0*l - 2*l) + 9*l + 4*l**2 - 9*l + (1 - 1 + 1)*(2*l - 2*l - 2*l**2) as i*l + n*l**2 + b and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/((q**1*q*q)\/q))*q)**6\/(q**(-18\/7)\/q*((q*q**(-11))\/q)\/q) assuming q is positive.\nAnswer: q**(277\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeteteeeeeee. What is prob of sequence te?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.07933 millennia to months.\nAnswer: 888951.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 995 + -999. Let i = -4 - -9. Let v = -10 + i. Which is the nearest to -5\/2? (a) n (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*m - 85. Suppose -5*g - m + 60 = 0. Solve -n = -2*n - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*b*d**2*t - 2*b*d*t - 19*b + d**3*t - d**3 wrt t?\nAnswer: -12*b*d**2 - 2*b*d + d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**2 - 2 + 13*u**2 + 15*u**2 - 9*u**2 + 11 - u + 4*u**4 wrt u.\nAnswer: 48*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19676 (base 12) in base 9?\nAnswer: -56070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66\/37 - 1318\/407. What is the common denominator of 34\/11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*q = 895*q + 175 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1273 + 1301. Calculate the smallest common multiple of p and 116.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*b + 1011, 0 = 3*b - 5*b + 2*w + 414. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/6 - 186720*h.\nAnswer: -h*(h + 1120320)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30994*b + 9564?\nAnswer: 30994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3989732 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065144508 rounded to 7 dps?\nAnswer: -0.0000651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*a + 3*b, -4*a - b = -2*b - 19. What is the remainder when a + 2\/(4 + -3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393.5183 rounded to the nearest integer?\nAnswer: -394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 111 - 111 + 17*c**2 in the form m + l*c**2 + o*c and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5857644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25*22.15\nAnswer: -553.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p = 40*p + 6. Suppose -2 = -v - 6. Sort 5, v, p.\nAnswer: v, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(1\/(-30)). Suppose -l + 5 = 4*i, 3*l - 5 = -2*i + s. Suppose 1 + i = y. Are 1 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/3))**(16\/3)\/((i*(i*i*i\/(i*i**(-2\/7))*i)\/i*i)\/i)**(4\/11) assuming i is positive.\nAnswer: i**(4100\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**2 + 188*l - 206. Calculate n(-25).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/15479249 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 421 (c) -32 (d) 3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55322390.\nAnswer: 2, 5, 5532239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2)\/f))**(-41)*f**9\/f**(-4) assuming f is positive.\nAnswer: f**(-151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-870)\/(-120) - (-10)\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -5, -0.37, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 - 2*m. Let q(x) = -7*x**3 + 50*x**2 - 10*x. What is q(h) - 4*r(h)?\nAnswer: -3*h**3 + 42*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47349, 47511, 47669, 47823, 47973, 48119, 48261?\nAnswer: 48399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771*g - 761*g + 11*g**2 + 2296*g - 764*g.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 plus 12.114534969?\nAnswer: 12.189534969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6713 and 196?\nAnswer: 26852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 241, -0.05, -1\/2, -4, -2\/513?\nAnswer: -2\/513","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 1 - 954\/(-9) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmqfqqmqqmq. What is prob of picking 2 q?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 1252882*w + 392428326481.\nAnswer: (w + 626441)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*d**6 + 346*d**2 wrt d?\nAnswer: -8040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 9:11 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235356 is divided by 9806.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i**2 - 22*i - 17. Is k(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-105))\/(2\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 396\/(-54) + 12\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**6\/360 - 7*g**5\/120 + 7*g**4\/24 - g**3\/3 + 6. Let n(q) be the third derivative of h(q). What is the tens digit of n(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90, -221, -442, -753, -1154?\n\"Answer: -45*d**2 + 4*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1481*q**3 + 0*q + 13*q**4 - 2*q - 1476*q**3 + 0*q + 54 - 60 to the form r*q**2 + l + y*q**3 + x*q + v*q**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 114 - -3*2\/6 - 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 - 2*h**2 - 2*h. Let s(x) = 2*x - 7*x**2 + 6*x**3 + 12*x**2 + 2*x**2 - 4*x**2. What is -3*b(o) - 2*s(o)?\nAnswer: 3*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeedeeedee. What is prob of sequence ee?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3, -0.14 in descending order.\nAnswer: 1, -0.14, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 8. Let m be r(4). Suppose a = s - 1, -4*s = 2*a - 12 - m. Solve f = 5*z - 2*f + 25, 20 = a*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2 (c) -106 (d) 0.4 (e) -2\/5 (f) 0.2 (g) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024651 to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from zzqeiqeiqqemzqj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from gogfftn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/14)\/(16\/(-6)*(-756)\/4704)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*c + 2, -2*c + 14 = -g - 4*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 36*t**2 - 9*t + 4. Let a be s(2). Find the third derivative of -180*f**3 - a*f**6 - 183*f**3 + 363*f**3 - 257*f**2 wrt f.\nAnswer: -15600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -47, 3248, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 6, -5, 1439, 4, 2 in descending order.\nAnswer: 1439, 28, 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/196*(-2 + -32). What is the third smallest value in -5, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012093 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: What is the hundred thousands digit of 7299498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2090*o - 10303. What is q(-5)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -581.8 + 582. Let i = -3.19 - -3.69. What is the closest to 0.4 in -2\/9, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.35, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 3*l**2 + 22*l - 53. Is o(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 - 6195102*b + 30975535 = 0. What is b?\nAnswer: -6195107, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 28*q - 12. Let t be (-4 + (-70)\/(-4))*(-4)\/(-6). What are the prime factors of n(t)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 23 = 157. Does 2 divide z\/105 - 18\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**2 + 158*m + 169. Determine n(-5).\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 - 1318556*s**2\/5 - 2637118*s\/5 - 263712.\nAnswer: 2*(s - 659280)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 30, 43, 56, 69?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by ((-3542)\/1288)\/(1\/(-36))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(23\/(22747\/(-43))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isissosmssgmimsgtsst. What is prob of picking 1 m, 1 s, and 1 i?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296*t**5 - 3*t**4 + 393*t**2 + 431810*t?\nAnswer: -5920*t**3 - 36*t**2 + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:53 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -3437531?\nAnswer: 34\/3437531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3334 and 95\/6.\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 - 112 + 104*b - 104 + 330 to the form p*b + a and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38 and 0.055.\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sooo when four letters picked without replacement from {o: 9, s: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2451453 is divided by 2451370?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 3 + (1*(sqrt(567) - (sqrt(567) + 3))*-3)**2)*-4.\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00268453 to five dps.\nAnswer: -0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5\/7 - 2157*v**4\/7 - 21933*v**3\/7 + 153124593*v**2\/7 - 765065400*v\/7 + 917842500\/7 = 0. Calculate v.\nAnswer: -475, 2, 3, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/2 - 493*j**2\/2 + 2895*j\/2 + 13149\/2 = 0.\nAnswer: -3, 9, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 855, 937, 1007, 1035, 991, 845, 567, 127?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - j = -4*v - 15, -5*v + 2*j = 21. Let r(k) = -15*k + 4. What is the tens digit of r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) -5 (c) 6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11ca5 (base 13) in base 8?\nAnswer: -100231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 + 12*q - 10*q - 5 + 0 in the form u*q**3 + h*q**4 + t*q**2 + z + a*q and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-154)\/(-22))\/(2\/(-2)))\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1933450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25808*o + 79796 = 45757*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/30*(-18)\/(-228).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3851, -3919, -4033, -4193, -4399?\nAnswer: -4651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*p + 57, -u = -3*p + 3*u + 51. Suppose -f + 7*w - 3*w = 9, -f - 2*w + 3 = 0. What is the remainder when ((f - 1)*59\/(-2))\/1 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5362 (base 9) to base 3.\nAnswer: -12102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15112772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z**(-4)*z)\/z)\/z)\/(z\/z**14))\/(z**(1\/3)*z**(-2\/17)) assuming z is positive.\nAnswer: z**(448\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*f - 453*f + 225*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 70 + 9*d**3 + 46*d**3 + 63.\nAnswer: 55*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 3\/(-15) - (-93)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*t + 0)*(24*t + 26*t + 5 - 48*t) in the form i*t**2 + n + l*t and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69718, 139614, 209872, 280672, 352194?\nAnswer: 424618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 418 = 422. Which is smaller: -40\/91 or x?\nAnswer: -40\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) -27 (c) -0.01498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-4) + (-9)\/36. Solve -2 = d*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1431 - 133?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 3*k = -m + 41, -m = -4*k - 1. Let z = m - -38. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85.8 - 63500783.\nAnswer: -63500868.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43232*m**3 - 67743*m**2 wrt m?\nAnswer: -259392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 - 7*h**3 + 10*h**2 = 0 for h.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203475301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2736)*-1)**2.\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.743 - 13.257. Which is the biggest value? (a) -4 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 561*j**5\/4 - 87*j**4\/4 - 3945*j**3\/4 - 2757*j**2\/4 + 162*j + 27 = 0?\nAnswer: -2, -1, -2\/17, 3\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36512, 36407, 36304, 36203?\nAnswer: 36104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1002 + -992. Solve -i*h - 3 - 7 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285 divided by 57\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67549 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/3 + -6)\/(2\/3). Let z = 0.071 - 0.101. Sort z, n, 0.1.\nAnswer: z, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:35 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 132*v + 27. What is the hundreds digit of w(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53283086 is divided by 5666.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4182 divide 633075342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117.5003 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -514 + 356. Let c = -157.35 - v. Round c to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 2 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2864 + 5737 + s - 2867. Let b(o) = 2*o + 11. Give 4*b(u) - 7*f(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -1013.\nAnswer: -1012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(1008))**2)*-2 - (-1 + (2*(sqrt(7) - (sqrt(7) + sqrt(7) + 0 + sqrt(7))) - sqrt(7))).\nAnswer: -sqrt(7) + 2017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:32 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 8*g + 1. Let o be b(6). Suppose 3 = -5*z + o. Suppose 10 = m - z. Calculate the smallest common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 3ed?\nAnswer: 3e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (13440\/279552)\/(5\/24)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.2, -3\/4, -3\/5, 3\/4 in descending order.\nAnswer: 10.2, 3\/4, -3\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 1219658 = 23*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -k + 4*k, 4*i - 16 = 0. Let u(f) = f**3 - 12*f**2 + 8*f + 4. Let a be u(k). Let y = -56 - a. Solve 11 = -5*p + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/12 + p**3\/2 - 2*p**2 + 4*p. Let h = -18 - -8. Let u = h - -5. Determine c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*q + 523*q + 8022 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrverxemryvvv. Give prob of picking 2 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:09 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620395.9 microseconds in nanoseconds?\nAnswer: 620395900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luuul. What is prob of sequence lul?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2040 (base 5) to base 3\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.084768 - -0.085. Round y to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.56 - 22.61. Let g = 22 - 14. Let h be (-16)\/(-12)*(-2)\/g. What is the second smallest value in h, -4, y, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 3*g**4 - g**3 + (3*g**3 - 3*g**3 + g**3)*(-732719 + 732719 - 1073*g).\nAnswer: -1076*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(-63*j + 6*j + 5*j).\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -109759 (base 10) in base 4?\nAnswer: -122302333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46144.5 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7592 and 624?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2224*f**4 + 4556*f?\nAnswer: 26688*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -572, -566, -556, -542?\n\"Answer: 2*r**2 - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 221195 or 221202?\nAnswer: 221202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, -12 in descending order.\nAnswer: 5, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10012020 (base 3) to base 6.\nAnswer: -14440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6) + -2 + (-58 - (-3525)\/94).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/28 and 35\/975654?\nAnswer: 13659156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19657 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 48*u - 339. Let y be d(4). Let n be -2*1*494\/4. Let w = n - y. Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-151)\/(-143) + 117015\/(-85811)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-10)\/(-4))*6652\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 + 64 - 293 - (2 + -2 - (1 - 11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rar when three letters picked without replacement from {r: 2, i: 8, q: 5, a: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3*l**5\/5 - 21*l**4\/4 - 7*l**3 + 45*l**2\/2 + 87. Find g such that q(g) = 0.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26776\/(-7) - 9\/(-63). Let j = -1834 - q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66876*d**3*v + 2*d**2 - 26*d*v - 1005*v wrt d?\nAnswer: -401256*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4068 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149084.01 and 11?\nAnswer: 1639924.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 45 - 37 + 7*r - 4*r + 19*r.\nAnswer: 22*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 211 (b) 4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6747 = -3*d - 6972, -5*d - 87 = w for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, p: 3, h: 1, d: 4, x: 1, v: 1}. What is prob of sequence hdpv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:06 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i**4 + i**4 + 4*i**2 + 644*i - 20*i**4 - 9*i**2 in the form l*i**3 + f*i**4 + u*i**2 + a*i + b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (3 + -5 + 1)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2775613 (base 9) to base 5\nAnswer: 342320140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737384.6 litres to millilitres.\nAnswer: 737384600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 5) to base 4\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 0)*(-3 + 0 + 5)*(0 - 5 + 4)*(1 - 2 + 3)*(33*c + 71*c - 25*c + (c - c + 2*c)*(2 - 4 + 0))*(11 + 6 - 4) in the form j*c + x and give j.\nAnswer: -11700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1890 is divided by 941.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*c - 2*c + 33, -3*c + 165 = 5*r. 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: Let c(b) = 3*b**2 + 15*b + 11. What is c(-9)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 p when four letters picked without replacement from {h: 7, p: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjj when three letters picked without replacement from cnjcwcucccjnbncbub?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) - 5168\/(-532). Suppose w = -n + 108 - 40, c = -5*n. What is the greatest common factor of 110 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*r = -244*r - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n + 11. Let m(q) = -5*q + 6. Let l(o) = 5*m(o) - 3*w(o). Let u(g) = -g**2 + 8*g - 20. Let z be u(10). Let x be 4\/z*8*-5. Give l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11588 - -25?\nAnswer: 115ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 12*h**2 + 5*h + 27. Let x be i(11). Suppose x = -g + 216. Let v(r) = -16*r**3 + 4 + 2 - g + 6 + 2*r. What is v(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Let l be (2\/(-4))\/((-5)\/50). Let p(f) = -2 + 2 - f**2 + l*f**2. Calculate u(p(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 3 + 3*t**2 - 3*t**2. Suppose -3*j - 9 = -5*n, -2 = 3*n + 5*j + 13. Let r be c(n). Solve 4*o - 2*o - 5*v + 21 = 0, 0 = o - v + r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/2 + 75*u**4\/2 + 663*u**3 - 1480*u**2 = 0.\nAnswer: -40, -37, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004439219 to five decimal places.\nAnswer: -0.00444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:13 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/15 - (-18)\/(-20). Let k = -0.71 + -3.29. Which is the closest to u? (a) 0.5 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2186570 times -0.055?\nAnswer: -120261.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 2 - (-2 - -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 637 divided by -174\nAnswer: -637\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5 - 91294*u**4 - 1042234964*u**3 - 9370804924*u**2 + 21868679926*u - 11455548742 = 0.\nAnswer: -22819, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 13 - v**4 - 6 + 2*v**2 in the form s*v**3 + z*v**4 + y*v + b*v**2 + n and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 67*x**2 - 248*x - 30. Calculate z(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13221*a + 329458 + 234182 = 87684 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by -1 + (6 - (-6 - -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9)*-1*-6. Factor 2\/5*l**g + 4\/5*l + 2\/5.\nAnswer: 2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1. Suppose -g - 21 = -2*g. Let j(a) = 8*a - 9. Let b(n) = -n + 1. Let p(o) = g*b(o) + 3*j(o). Calculate -p(m) - 6*y(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.86 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22456 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: Let s be (-4)\/3 - (-1070)\/15. Let w = -53 + s. Let o = -319 + 455. What is the greatest common divisor of o and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*k = 53, -5*q = -3*q + 2*k - 48. Suppose 2*t + 29 = q. Sort 3, -3, t, 5 in decreasing order.\nAnswer: 5, 3, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15\/8 + 119\/72. Which is the nearest to 0.2? (a) -5 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 583\/616 + -1 + (-6)\/16.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 8. What is u(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 4*f**2 + f + 3. Let q be m(-4). Let z = -332 + 5646\/17. What is the nearest to 0.1 in z, 1, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -17. Let q(p) = -k*p + 0 - 8 + 2 - 14*p. What is the remainder when 63 is divided by q(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-9)\/b))\/(b\/(b*b**(-2\/15)))*(b**2)**(-47) assuming b is positive.\nAnswer: b**(-1262\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/5, 33, -1\/8, 2\/3, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 3, m: 2, h: 1}. What is prob of sequence ayh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let p(j) = j - j - 4*j + 6*j. Calculate 3*a(o) + p(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1587 divided by -3.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 9*x + 12. Let r be m(-8). Suppose -f = s + r, -16 = -4*f + 5*s - s. Let -1\/6*d**2 + f + 0*d = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10280979.871 and 1.061?\nAnswer: 10280980.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102754956?\nAnswer: 2, 3, 31, 281, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z + 14\/13*z**4 - 2\/13*z**2 + 8\/13*z**5 + 4\/13*z**3.\nAnswer: 2*z**2*(z + 1)**2*(4*z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0 - 1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4415*o + 676?\nAnswer: 4415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + 2659*s**3 + 31*s**2 + 1094983*s?\nAnswer: 24*s**2 + 15954*s + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2973*x. Let d(b) = -7*b**2. Determine d(u(o)).\nAnswer: -61871103*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/6 + 2*y**2 + 9*y. List the prime factors of n(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + -5 + (sqrt(275) - sqrt(275)*-1)))**2 - ((sqrt(275) - (sqrt(275) + 0) - sqrt(275))**2*-6 + (0 + (sqrt(275)*-1 - sqrt(275)))**2 + 2))*5.\nAnswer: -14400*sqrt(11) + 203620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 413*l**2*z**3 + 5*l**2 - 3*l*z**4 + 52*l*z + 2*z**2 wrt z.\nAnswer: 2478*l**2*z - 36*l*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-127 + 76 - 2*m**2 - 96 + 3*m**2)*(-3*m**2 + 7*m - 7*m) to the form a*m**4 + z*m + r + v*m**3 + o*m**2 and give o.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 70047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 3*a - 4. Let h be q(-4). Let f(j) = j**3 + j**2 + j + 1. Let p be f(0). Are h and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59734 - 13141531\/220. Calculate the common denominator of f and 43\/1120.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(51)\/(2*sqrt(3)) + ((sqrt(153) - -1*sqrt(153)) + sqrt(153) - sqrt(153))\/sqrt(9).\nAnswer: 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77504935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.003458 millilitres in litres?\nAnswer: 0.002003458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(17) - (-2 + sqrt(17) + -2)) + (sqrt(17) - (sqrt(1377) + -2)))**2.\nAnswer: -160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 8) to base 12\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2790250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/12 - 29*m**3\/6 - 2*m**2. Let g = 64046 - 64033. Calculate l(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, x: 2, f: 5}. Give prob of picking 3 h.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -7\/6, 16, -1\/4, 1\/2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 8. Let j be p(0). Let r(x) = -x**2 + 10*x. Calculate the remainder when r(j) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3*h + 3*j - 34, 4*h - 4*j + 40 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-2)*(-15 - 3). Suppose 792 = 3*w + t. Suppose 2*f + f - w = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*c - 18 = 0, -2899*n + 2898*n - 4*c - 47 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 - 3*o + 23. Does 26 divide w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 281285 and 505?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 874479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -18. Let y = m - -2. Calculate the lowest common multiple of 1 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + y + 0*y - y**2. Let o(x) = x**2. Determine u(o(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/12, 0.3, 2\/3, 0, -1\/137, 6 in ascending order.\nAnswer: -13\/12, -1\/137, 0, 0.3, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 + j - 4. Let m be c(6). Let s = 730 - 729. Does m = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 70*m + 37*m + 33*m + 4*m**2 to the form h*m + v*m**2 + k and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2 - -1)\/((-126)\/1227). Let r = a - -46\/7. Which is greater: 1\/2 or r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**7\/105 + 527*l**3\/3 + 768*l**2. Find the first derivative of y(z) wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 14*c - 10. Let n be u(13). Suppose -4911 = x - 3*x + n*z, -x + 2457 = -2*z. List the prime factors of 4\/18 - x\/(-27).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.34 times -3\nAnswer: -4.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 28*h**4 + 82*h**3 + 8*h**2 + 2*h + 12. Let a(f) = -12 - 11*f**4 + f**2 - 33*f**3 + 8 - 4*f**2 - f - 1. Let c(p) = -12*a(p) - 5*l(p). Factor c(b).\nAnswer: -2*b*(b + 1)**2*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from jzizjzizjzbjjzzjzj?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h + 31. Let d(p) = -11*p + 31. Determine -7*b(f) + 6*d(f).\nAnswer: 4*f - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*r**2 - 264*r**2 + 530*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781478 is divided by 593825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 47*h - 219. Calculate g(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 9*k**2 - 7*k. Let t be x(-3). Let j be (t - 2)\/2 - 104\/(-28). Put j, -0.5, -4, -0.1 in ascending order.\nAnswer: -4, -0.5, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517938610 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2 + 37*h**2 - 6*h - 19*h**2 - 17*h**2 - 4. Determine q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8736, 17473, 26210, 34947, 43684?\n\"Answer: 8737*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73685075 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167*v*z**2 - 2*z**2 + 103*z wrt v.\nAnswer: -167*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + 4\/(-6). Suppose -5*x - 12 - 29 = -36. Is x less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 729 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -55. What is the second biggest value in o, -1, 4, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70906827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/5 - 964*o**3 - 2913674*o**2\/5 - 2319384*o - 11577672\/5.\nAnswer: -2*(o + 2)**2*(o + 1203)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 11*p**2 - 31*p + 327. Let y be c(12). Let u = 48 - 143\/3. What is the closest to y in -0.5, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.45 and -25237.\nAnswer: -25236.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.278 + 0.078. Which is the nearest to -0.2? (a) 4 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/30)\/(-1))\/((-91)\/(-70)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = -6. Does 3 divide -6*(-1)\/t - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3360 and 119?\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.028 - -4.028. What is the third biggest value in -3, s, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 11 = d, 71*d - 66*d = -b + 49. What is the remainder when 76 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + x - 2 - 4*x + 2*x + 0*x + (1 - 2*x - 1)*(-2 + 3 + 1))*(-x + 8*x - 3*x).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4924*w - 10863 = 5077*w for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*o**3 + 13\/2*o**2 + 0 + 15*o = 0.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -2) + (-44 + -34 - -51)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 - 34*l**2 + 53*l - 124. Calculate n(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 397698637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -15 + -9 + -9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -63, 0, 44 in descending order.\nAnswer: 44, 1, 0, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 992.3785 litres in millilitres?\nAnswer: 992378.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -461 - -463. Let t(l) = -54*l**z + 11*l**2 + 35*l**2. Let o(i) = -8*i**2. Give o(t(g)).\nAnswer: -512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 33, 2, -4.\nAnswer: -39, -4, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -547812 + 1747814. Let w be 1 - 0 - 3 - r. What is w rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*o - 6. Solve -o*x - 2 - 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-7)\/(-28) + -218. Let v = -210 - i. Solve -r = 3*x + 7, 0*x = 3*x + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/15 and -34\/12129?\nAnswer: 60645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g - 3. Let u be l(2). Let p = -309 + 330. What is the highest common divisor of u and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 a when four letters picked without replacement from ayyyaaayaaaaaaayaaa?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12805)\/728 - -18) + (-1)\/(-7)*-2. Which is the nearest to -0.2? (a) 4 (b) 18\/101 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 13 = 2*k, 2*w - 14 = k + 6*w. Suppose 5*h = k*h + 2. Put 1, -1, h in increasing order.\nAnswer: h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)*l)\/l**(-2))**(-34)\/(l\/l**(1\/11)*l*l**(-2\/3))**10 assuming l is positive.\nAnswer: l**(-1321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207188*g**3 + 413715*g**3 - 206867*g**3 + 2*g.\nAnswer: -340*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:24 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 (base 8) in base 5?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -410351 or 2?\nAnswer: -410351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 12:27 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -259070 (base 15) in base 2?\nAnswer: -110111000000001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7346451899 + 557.7347002899. Let v = -557 + i. What is v rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 95 - 2*q**2 + 42*q - 48.\nAnswer: -2*q**2 + 42*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10 = z. Let p = -156 - -100. Let r be z\/((-20)\/(-110) - p\/55). Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u + 91*u = -3*o - 14, -2*o = 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095125631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/724 and 137\/12.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7579 greater than or equal to 7585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**3 + 4*l - 2*l + l**3)*(0 - 1 - 6) as w*l**2 + b + a*l + j*l**3 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 34*x - 860, -203 = -2*q - 5*x - 68 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1359 + 1394. Solve -56*x + w = -63*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 63?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/((-458)\/1832)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2125 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8694?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -0*u + 1400 - 1288, 15*p + 28 = -u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -413? (a) 0.3 (b) 5386 (c) 4\/7 (d) 2\/7 (e) 0 (f) -0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 + 5. Calculate n(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 192, 195, 196, 195?\n\"Answer: -g**2 + 6*g + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**19\/((x**(5\/4)\/x)\/x) assuming x is positive.\nAnswer: x**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Suppose -5*m = -4*r - 26, -7*m + 4*r = -v*m - 24. Let w = 3 + m. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 + 10932*m + 39836208.\nAnswer: 3*(m + 7288)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034538204 rounded to 7 dps?\nAnswer: 0.0000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*t + 5228 - 5569 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182.7 + -31.7. Let u = -150.931 + i. Let x = 0.07 - u. What is x rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1383*f**4 + 1178*f**4 + 993*f**4 + (-5*f**2 + 3*f**2 + 3*f**2)*(-4 - f**2 - f + 4).\nAnswer: 787*f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 20. Suppose 5*u + 51 = 3*r, -5*r - 207*u + 203*u + 11 = 0. Solve a + n = r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n**(-1\/6))\/((n\/n**(2\/15)*n)\/(n**(-1\/2)*n*n))*n**(-1\/3)\/(n\/((n**(1\/6)*n)\/n))*(n**(-1))**(-49) assuming n is positive.\nAnswer: n**(483\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.001, 9, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 2) + (10 - (11 + 1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, x: 5, i: 3, m: 2}. What is prob of sequence mxz?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.579920875 to 4 dps.\nAnswer: -1.5799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 10) + (-35 - -43)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 2*z - 2*i - 265, -2*z - 3*i + 449 = 0. Let n = -213 + z. Calculate the highest common factor of 32 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 175, 165, 141, 97, 27?\n\"Answer: -b**3 - b**2 + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 35159878?\nAnswer: -5\/35159878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, h: 3, j: 1, f: 3, t: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/(4\/12). Suppose t - 2*n = 9, 0 = t - 5*n + 3 - 24. Let c be (w - (-5)\/t) + -7 + 4. Solve c*y + 3*y = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 10. Let f(h) = -h**2 + 9*h - 14. Let c be f(v). Suppose -3 - m**2 + c + 2*m + 2*m**2 + 0 = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwhtwwwwhtthf. What is prob of sequence tf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11520*g**4 + 8160*g**3 + 3115*g**2 + 245*g.\nAnswer: -5*g*(g - 1)*(48*g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 26. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1484 and -71\/4452.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 370207259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -17030613\nAnswer: 85153065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2, 4 = 4*k - 4*t - 0. Suppose w - 26 - 2 = k. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 9*y. Suppose y = -5*d + 2 + 8. Solve 21 - 4 = -5*s + 4*l, -3*s + 3 = d*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**3 + 57*b**2 + 27*b + 93. What is p(12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 + 17*r**2 - 31*r + 15 = 0. Calculate r.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 39 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 257 + 130*n - 130*n.\nAnswer: -3*n**3 + 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -10\/3 (b) 0 (c) -1\/8 (d) -0.4 (e) -5 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*u - 234 + 1530 = -1596 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5\/5 + 1488*u**4\/5 + 208074*u**3\/5 + 5843376*u**2\/5 + 46263987*u\/5.\nAnswer: 3*u*(u + 17)**2*(u + 231)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b38384 - 2?\nAnswer: b38382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759 - 1085 - 1161 + b + 2671.\nAnswer: b - 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2017757916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0.9. Let r = 3.9 + a. What is the second smallest value in 0.2, -2\/5, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(208) + -6*(sqrt(208) + 1 + sqrt(208) + sqrt(208))**2 - 4*(sqrt(208) + 1) - (-5 + 4 + sqrt(208)*-2 + -2)**2).\nAnswer: 612*sqrt(13) + 36249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 430 + -624. Let w = u + 564. Suppose 12*z - w = 7*z. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/11))**(-7) assuming f is positive.\nAnswer: f**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 6. Let j = 31 + -44. Let f = -34 - j. Let w = f + 15. Calculate z(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(54\/33) - (-4 - -1). Sort -4\/7, 1, c in increasing order.\nAnswer: c, -4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -18, 0, 0.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q. Let s(k) = -36313970*k. Calculate y(s(x)).\nAnswer: 72627940*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**2 + 20*l**2 - 19*l**2 - 17*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/68 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -92 + 36 + 28?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((2*sqrt(70) + sqrt(70) - sqrt(70))\/sqrt(7) + (sqrt(120)*-2)\/sqrt(12) + sqrt(10)))\/(-5*sqrt(18) + (sqrt(242)*1 - sqrt(2))).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by 14\nAnswer: -67\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9 - 5\/(-9). What is the nearest to -0.1 in -0.5, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 150 + 102 = 0. Suppose -12 = -8*m + n. Let k(j) = 6 - j + m*j - 2*j + j**2 + 4*j. Determine k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 25. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/52 - (-433*6\/48 + 12\/32)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97057 is divided by 6060.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -16\/5 (b) -0.19 (c) -3 (d) -0.007\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6977\/32 + -218. Suppose 94 = -6*y + 100. Does v = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494 is divided by 605.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310435415 divided by -3.\nAnswer: -310435415\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a century in decades?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18806*t**4 + t**2 - 52*t - 2 wrt t.\nAnswer: 451344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54*(12 + 1192\/16).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Suppose a - 6 = -r*a. Calculate the smallest common multiple of 9 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*k + 74*k = 140*k + 54*k - 587 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72875 divided by -56?\nAnswer: -72875\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c = 275, -5*c - 45286 = -5*b - 45401 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - h**2 - h. Let f(l) = 338*l**3 + 446*l**2 + 194*l + 27. Let w(o) = f(o) + 5*u(o). Suppose w(y) = 0. Calculate y.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 353 - 259. What is the highest common divisor of o and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 1, 2, -2, -1 in descending order.\nAnswer: 5, 2, 1, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**3 + 13*z**2 + 10*z - 40. Let h(x) = -6*x**3 + 11*x**2 + 9*x - 40. Give 7*h(t) - 6*r(t).\nAnswer: 6*t**3 - t**2 + 3*t - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w + 1 + (w + 3 - 3)*(-1 + 7 - 1) + 21*w - 5*w - 173 - 18*w)*(3*w**2 - w**2 - 4*w**2).\nAnswer: -10*w**3 + 346*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**17\/((w*w**10*w)\/w)*(w\/w**(21\/4)*w)\/(((w**(2\/9)\/w)\/w*w)\/w))**(34\/5) assuming w is positive.\nAnswer: w**(2771\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*5.0787\nAnswer: 5.0787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-33)*6\/4 + 1. Solve 6 = -q - w*a - 4*a, 4*q - 5*a - 18 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 - 28*c**4 - 165*c**3 + 450*c**2.\nAnswer: -c**2*(c - 2)*(c + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.905255 days in weeks?\nAnswer: 7.986465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 90 = -5*j, -c - 17*j + 12*j + 36 = 0. What is the highest common factor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161410 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 - -137. Calculate the remainder when 63 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let o(k) be the third derivative of k**6\/120 + k**5\/6 - 17*k**4\/24 - 5*k**3\/2 + 4*k**2. What is the tens digit of o(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:11 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**4 + 306*k**2*n**3 - n**3 - 140*n wrt k?\nAnswer: 4*k**3 + 612*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0 - 1\/6*j**3 - 2*j - 2*j**2. Suppose -x - 2*x - 37 = 5*c, -28 = 4*c + 2*x. Calculate t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - ((-4)\/4 - (3 - 1)). Let q(d) = -d**2 + 3*d + 30. Let p be q(i). Factor -2\/3*s + 1\/3*s**p + 1\/3.\nAnswer: (s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s**2 - 3*s - 1. Let t(x) = x + 2. Let a be t(-11). Let v = -11 - a. Calculate l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:56 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1250 + 63*q**3 - 319*q**4 - 28*q**3 - 30*q**3 - 5*q**3 with respect to q.\nAnswer: -1276*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-69) - 60652\/(-32568)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -723000 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 610, 21, 5, 31 in ascending order.\nAnswer: 0, 2, 5, 21, 31, 610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + ((4 - 1) + -13)*(-1182)\/985)*-35\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 416.8616mm?\nAnswer: 0.4168616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*l + 167 + 17, h - 64 = -5*l. Calculate the highest common divisor of h and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30172090 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 32 + 38)*(7 - 52*n + 0 + 25*n - 2*n).\nAnswer: 1189*n - 287","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = -2*c, -2*m + 12 = -2*c - 2*c. Let k = c + 7. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70\/(-28)*(-18)\/5. Suppose -36*j = -v*j - 378. What is the remainder when 572 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) -2\/13 (c) 0.08 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1+7.1781\nAnswer: 6.1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((18 - 5) + -6 - 15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41896 - 61714 = 573*t + 560*t + 461*t for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25*r - 144. What is l(0)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 1222.\nAnswer: 319\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21260, -22, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 851467 (base 10) in base 14?\nAnswer: 182431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6206.\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2572274, -2572103, -2571818, -2571419?\nAnswer: -2570906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*v - 23 = 0, n - 4*n - v = -17. Suppose -n*w + 60 = 18. Calculate the smallest common multiple of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 2 w when four letters picked without replacement from uussiswgiusspws.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 29, 47, 63, 77, 89?\n\"Answer: -y**2 + 23*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 - (5 - (-245)\/(-45)). Let s(u) = u - 4. Let o be s(10). Suppose -3*h = -15 + o. Sort h, 5, m in ascending order.\nAnswer: m, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/258 and -76\/129.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14403 greater than -14401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 54)\/(9 + 155*5\/(-85)). Solve -72*g = 13*g + t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/28)\/((-25)\/(1575\/18)). Which is the smallest value? (a) -0.8 (b) 0.9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15*a + 18. Let m be i(-2). What is the hundreds digit of (-254 - -1)*m\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 5, q: 7, o: 1}. Give prob of picking 1 q and 1 u.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 12, -2*q - 3*r + 117 = 851. Let s = -355 - q. What is the highest common divisor of 324 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 36 = -12*z + 14*z, 6*z = -2*h + 48. Solve 7*j + h - 27 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2052510\nAnswer: -4105020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 386205501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 6) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21898 + 22238. What is the second smallest value in -5, z, 3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 12)*(2 + 7). Let y be 3\/(-1) + 6 + 54 - 4 - -1. What is the highest common factor of y and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from csccttqsctttst.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l + 58. What is w(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 * 23432\nAnswer: 107787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 11:38 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 4*l + 4. Let m(t) = -63 + 9*t**2 + 0*t**2 - 11*t + 74. Give 11*k(o) - 4*m(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - 3*sqrt(1500) - (sqrt(960)*-3 + sqrt(960)))\/((sqrt(80) - (sqrt(80)*-1*-5 - sqrt(80)))*-4))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -993*d - 2 = -994*d. Suppose -9*j = d*j - 143. Solve 12 + j = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 2.64.\nAnswer: 31.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 1\/4 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 9:44 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:38 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -12. Suppose 2*q = -5*x - 12, 3*q + w = -5*x + x. What is the least common multiple of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbizbbibbbbb. Give prob of picking 1 i and 2 b.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-8)*2*(2 + 77) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2) + (-1)\/(-8)*-20. Sort -3\/7, j, 2\/23, -16\/3 in ascending order.\nAnswer: -16\/3, j, -3\/7, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*w + 8, 5*w = -6*h + h + 20. Solve 2*y + h = 6*z - 4*z, -3*y - 3 = -z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70.7 + 13.7. Let w = a - -56.7. Sort -2\/13, -2\/3, w, 4 in ascending order.\nAnswer: -2\/3, w, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -550364253 - 0?\nAnswer: -550364253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/(-6) - -10 - (6 + -6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 7. Let v be q(-5). Let h = v - -9. Is (3 + h)*1*-77 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1763 + -171363?\nAnswer: -168500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:48 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:40 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i + q - 27 = 0, -2*i - 4*q = 0. Suppose -3*n - i = 3*j, 0*n - n = 4*j + 14. Factor -2*z + 6*z**3 + 3*z**n + 4*z**2 - z**2 - 2*z**2.\nAnswer: 2*z*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51386114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 1, y: 1, x: 1, g: 1, h: 3}. Give prob of picking 1 s and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/2610 and -131\/30?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002 (base 3) to base 4.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c = 2*s + 25*c + 19, -c + 14 = -s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -131*k**3 - 3*k + 4. Let a be o(-3). Is (a - 5) + (4 + -3 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*s + 8, 2*s - 11 = -l + 2*l. Let h = -37 - s. Let r = h - -77. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 910625 and 42625?\nAnswer: 10016875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -0.4 (b) -125 (c) 421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 4*c**2 - 2*c**2)*(-2*c - 204*c + 11*c).\nAnswer: -585*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 6*j**2 - 9*j + 62. Let s(z) = -47*z + 35. Let l(a) = -9*o(a) - 2*s(a). Find the first derivative of l(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -451.4 (b) -44 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 38050705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -11 + 14 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101202 - -1?\nAnswer: -101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 17*j**2 + 13*j**2 - j**2 + 2.\nAnswer: 29*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c - 15*c + 1 + 5*c - 5*c in the form q + n*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 18*y + 4*y**2 - 4*y**2 as v*y + z + d*y**2 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/4 + 91119*y\/2 - 2767557387\/4.\nAnswer: -3*(y - 30373)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + (3 - -6) - -149. What is the greatest common divisor of 270 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(-894)\/2980?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249928489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -734\/91 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 75.7. Sort 1, r, -0.1, -4 in ascending order.\nAnswer: -4, r, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-32) - 2\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b - 36690 = 1312*b for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69517890 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 55. Suppose -y*v = -54 - 135. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54492, 54493, 54494, 54495, 54496?\n\"Answer: m + 54491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107158803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-225)\/(-100) + (-1)\/4. Suppose -k = 1, j*t - 2*k - 2 - 4 = 0. Calculate the remainder when (t\/4)\/(-2 - 1972\/(-984)) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 11*w**2 + 22*w + 38. Let t be c(7). Solve 23 = -a - 5*y, 31 = -2*a + 5*y + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 380 (b) 4 (c) 2\/7 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-619744)\/1360 + (-6)\/10. Let h = b + 525677\/1156. Let z = h - -131\/289. Calculate the common denominator of z and -151\/18.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y. Let s(x) be the first derivative of -5 + 5*x - 3\/2*x**2. Let v(c) = c - 2. Let h(z) = 2*s(z) + 5*v(z). Give k(h(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -48. Suppose 4*v - 26*v = 0. Suppose -212*b + 210*b + 32 = v. Calculate the remainder when p is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1030 and 20?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8154006449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Let t = 2 + -3. Let i = k + t. Solve 6*y - 9 = i*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105200, -209808, -314416?\nAnswer: -419024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 16*r + 33.\nAnswer: -(r - 66)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c + 221?\nAnswer: 38d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:21 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 4. Let v be m(-6). Suppose 9 + 97 = -o. Let h = v - o. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 1. Let f be a(-3). Suppose -5*h - f = -94. Let k = 26 - h. What is the lowest common multiple of k and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 5*f + 2. Let a be y(4). Suppose -16 = -i - 14. Suppose -i*h = -a*h. Solve h = -5*q + 7 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 0.05246, 2\/9, 1\/3 in descending order.\nAnswer: 2, 1\/3, 2\/9, 0.05246, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(-3*(-9)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48)\/(3*(-5)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -34 - -18 - (1 - (0 + 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 150, 173, 206?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 - 11214?\nAnswer: -11314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17629*q**4 - 7949.\nAnswer: -70516*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0 = 4. Let o = w + -1\/2. Let q = 0.1 - -2.9. Which is the closest to o? (a) q (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/12 + 7*j**3\/6 + 19*j**2\/2 - 103*j. What is the tens digit of o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343027 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/30 and -79\/834.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 129879.81 to the nearest 100.\nAnswer: 129900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.3 (b) -1\/2 (c) 188 (d) 166 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/5)*p**(2\/27))\/(p*((p**(-3\/2)\/p)\/p)\/p)**(-28) assuming p is positive.\nAnswer: p**(-13112\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4 - 3 + 7*s**2 - 3*s**2 - 2*s**2 - 8*s. Let i(w) = -6*w**2 + 23*w + 20. What is 17*h(v) + 6*i(v)?\nAnswer: -2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.532224 days in hours?\nAnswer: 228.773376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 22*g**4 + g - 8348 + 8348 to the form m*g**4 + w + c*g**3 + l*g**2 + d*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26\/95 - -199\/380. Let q = 0 - -2. Let f = 1 - q. What is the closest to -4 in 1, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4231385 or -4231386?\nAnswer: -4231386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375473 = -5*b - 4*q, 5*q - 69821 = -b + 5282. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 3*b**2 + 3*b - 1. Let p(w) = 3*w + 7. Let u be p(-9). Let k be ((-12)\/10)\/(8\/u). Give v(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 - 90*g**2 - 45*g**2 - 242*g**2 in the form c*g + w*g**2 + y and give w.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-16)\/330 - 8\/(-44).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**7\/84 - 23*m**6\/60 - 13*m**5\/5 - 9*m**4\/2 - 462*m - 4. Solve f(g) = 0 for g.\nAnswer: -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1594\/5)\/(((-126)\/7)\/(-90))?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15043*w - 6894*w + 945810 = -571729 - 215484 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from ssossosooddo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 125. Suppose 135*v - w*v = -924. What are the prime factors of v?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + -6545062?\nAnswer: -6545206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175.49 + -0.49. Let j = i - 270.5. Let x = 96 + j. Which is the nearest to 0? (a) x (b) -3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -995\nAnswer: -1\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7556 + -0.4444. What is the nearest to h in -1, -7, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -2)*5 - (-1*sqrt(275)*1 + sqrt(275))**2) + -2 + ((sqrt(275)*-2)**2*-4 - sqrt(275)) + sqrt(275) + 4.\nAnswer: -4408 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40913.\nAnswer: 163, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, 0 = -w + a + 3*a + 3. Suppose -w*s + 16 = -14. Suppose 7*u - s*u = -306. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = d - 3*v, 4*d - 4*v = 5545 - 1665. Suppose 0 = 5*m - 5*i - d, 5*m - 789 = -4*i + 154. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/(-124)*0\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-4)\/18)\/((-14)\/(-21)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 225. Let u = l - -108. Solve -u*r + 4 = -11*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -36 + -1 - (-8346)\/214. Solve 6\/17*y**b + 0 + 2\/17*y**5 + 2\/17*y**3 - 6\/17*y**4 - 4\/17*y = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 21. Let x = -0.19 + 11.19. Let i = -5 + x. What is the third smallest value in f, i, 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -24. Let q = 24 - n. Suppose 9 - 5 = -q*w. What is the second smallest value in -0.2, 4, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -73*d + 4. Let j(q) = 3*q. Give v(j(t)).\nAnswer: -219*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:19 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:26 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 48041284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4172394251.\nAnswer: 4172394251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4994*v**2 - 299639*v - 65. Determine l(60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -218. What is the lowest common multiple of 594\/(-88)*(-16)\/i and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3752109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/32? (a) 111 (b) -4 (c) -2\/21 (d) 2\/19 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 3*j. Let r be (-7 - 6\/(-2)) + 1. Suppose -4*a + 3*l = a + 50, -l + 5 = 0. Let m = r - a. What is k(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and -97.8579.\nAnswer: -97.8779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25662 is divided by 1966?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-15)\/(-3)) + 0 + 10. Let l be y\/36*-3 - (-18)\/4. Solve -1 + l = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1*3*16\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Suppose -5 = 5*z, 58 = i*f - 4*z - 3. Suppose -6*c + 50 = -c. Calculate the remainder when f is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*i - g + 161, 3*i - 2*g = 234. Suppose 0 = m + m. Suppose o + 3*o - i = m. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164718781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3668 divided by 3515\nAnswer: -3668\/3515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 84*q**2 + 39*q + 77. Give l(-2).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in -32.3, -2\/19, -2\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 2, b: 1, u: 5, t: 1}. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46, -47, -44, -37, -26?\n\"Answer: 2*q**2 - 7*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9679*n - 81613 + 140224 = 236424 + 286779 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 53\/64 (b) 0 (c) 2\/7 (d) -1\/4 (e) -1\/6 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7\/o**(-2))\/(o**0*o*o**(-4)))**(-5\/8) assuming o is positive.\nAnswer: o**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m. Let s be o(5). Suppose 4*a - 43 = -5*u + 5, 0 = -s*a - 15. Calculate the highest common divisor of u and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.205957 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2278 and 51\/399320?\nAnswer: 6788440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12006 is divided by 132.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/15))\/(((j**(-2\/11)\/j)\/j)\/j))\/(((j\/(j**(2\/3)\/j))\/j)\/j)**(-2\/3))\/(j*j*j**4*j\/((j\/j**(-10))\/j))**(-23) assuming j is positive.\nAnswer: j**(-32239\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3\/3 + 98*o**2\/3 + 145*o\/3 + 14 = 0.\nAnswer: -1, -2\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = -5*m. Calculate the remainder when 4 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076686 rounded to five decimal places?\nAnswer: -0.00767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let g(n) = -n**2 - 2*n + 1. Let b be g(-2). Let u be -3 - (-3)\/(-3) - -6. Let d(k) = -u - 41*k + 38*k + 2 + 2*k**2. Determine b*d(y) - 3*h(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -31885\/2433?\nAnswer: -31885\/2433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from {p: 2, o: 1, i: 10, g: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(11 - (-3 + 8)). What is the closest to 1.14 in n, -3\/4, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 28 + -21 + 0 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -13. Let x be -2*u\/3 - 2. Suppose -2*r - h = -0*h - 462, -x*r + 458 = 2*h. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/337980 and -63\/1215680.\nAnswer: 156822720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3586950 is divided by 597823?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*l + 20*l**3 + 3*l**2 + 20*l**3 - 38*l**3 - 6*l**2 as w*l**3 + f*l + v + t*l**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 470743017 a multiple of 1490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 15 - (282 - 322).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 891 - 878 - 49*j + 567*j - 82*j to the form s*j + f and give s.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -11*z**4\/12 - z. Let r(p) = 13145 + p - 4384 - 4381 - 4380. Give r(f(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2799, 5597, 8383, 11151, 13895, 16609, 19287, 21923?\n\"Answer: -l**3 + 2805*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.6, 0.5, 41, -0.2, -3\/2?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 26. Suppose -o*l = -4*q - 22, 5*q - 26 = -l + 13. Solve r = h - 3, -5*r = -h - 8 + l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59931400.\nAnswer: 2, 5, 29, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3267215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -5*m - 4*b, 23*m - 22*m - 2*b = 47. Solve -m*p + 4*p = 117 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 3\/4 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39534 by -13178.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69053861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32425 + 11351?\nAnswer: -21034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(x - x + 2*x) + x - 6*x + 2*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5801149 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:03 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40964 and 3920.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 15*v**3 + 9780*v**2 + 2420555*v + 7173660. Let f(a) = -8*a**3 - 4887*a**2 - 1210278*a - 3586833. Let p(l) = 5*f(l) + 3*x(l). Factor p(w).\nAnswer: 5*(w + 3)*(w + 489)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 108\/(-20)*10\/(-24). Suppose -3\/2*g + 3\/4*g**4 + 0 - k*g**2 + 0*g**3 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 - 16*w**3 - 22*w**3 - 7*w**3 - 17*w**3 + 63*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/6 + 5*h**4\/24 + h**3\/3 + 18*h**2 + 19. What is s(-2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a**3*h**3 + 854*a**3 - 7*a**2*h - 3*a*h**3 + 275*a*h**2 wrt a?\nAnswer: 114*h**3 + 5124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, r: 16}. Give prob of sequence irn.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 1356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w - 6. Give u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9266.789 litres in millilitres?\nAnswer: 9266789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7 = -1. Put m, 0, 16 in decreasing order.\nAnswer: 16, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 6*j + 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (287\/(-14))\/(-41) + 2*(-3)\/12. Sort -50, -1, v, 5, 4 in descending order.\nAnswer: 5, 4, v, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 1. Let h(l) = -3*l**2 - 5*l + l**2 + l**2 + 1 + 2*l**3 + 0*l**3. Let v(w) = h(w) + m(w). Find the second derivative of v(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6 - 3*y - 2*y + 4*y. Suppose 52 = 56*a + 276. Determine h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -144, -153?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698394859.\nAnswer: 7, 67, 73, 113, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103544*p**5 - 2801192*p**4 - 21489446*p**3 - 29978328*p**2 + 40761810*p + 13610700 = 0. What is p?\nAnswer: -1065\/86, -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 1, 3953, 1\/9, 5, -1, -10?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -154*(3\/(-2) + 1)*1 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-142) + 39*(-71624)\/77532.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 13*w**2 + 3*w - 14. Give j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2297 + 1542. Let d = 70213\/93 + r. Let j = d + 64\/93. Which is the closest to -0.1? (a) 2\/19 (b) j (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120072\/1560 - 82 - (-2 + -3).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -125*b - 1. Let u(f) = 249*f + 1. Let k(y) = 5*s(y) + 3*u(y). List the prime factors of k(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-2 - (1 + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1094*c + 1098*c - 4*w - 52, 64 = 14*c - 11*c + 2*w for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:14 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2723.\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112170041 to the power of 1\/2, to the nearest integer?\nAnswer: 33349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*b - 23. Let c(l) be the third derivative of 1\/2*l**3 + 0 - 1\/24*l**4 + 0*l - 8*l**2. What is c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3301105 (base 6) to base 16\nAnswer: -27ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s, -2*t = -2427*s + 2428*s - 234. Calculate the highest common divisor of t and 1924.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*r + 11 + 7 = 0, -t + r = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-106)\/1*3\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 15840481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1709.729236 to 1 dp.\nAnswer: -1709.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12795)\/(-3120) - 2*2. Let h = -1\/16 + k. Which is smaller: h or 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 4*s - 24. Suppose -s*y + 7 = -2*y. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*n + 31. Suppose 5*l - 105 + n = -3*m, 0 = -2*m + 4*l + 80. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - 62*c**2 + 113*c + 9. Calculate f(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 66*l - 75. Give v(33).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-673728)\/(-7830) - 158\/3555?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/7)\/((-18)\/168) + 10\/2. Let s(z) = -2*z**3 + 24*z**2 + 26*z - 11. Calculate s(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = 6*j - 5*j, -z - 29 = 5*j. Let x be ((-3)\/j)\/(2\/48). Suppose -2 = -3*a + 2*a. Solve -n - x = a*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 8*k + 2. Let o be (-70)\/(-21)*(24\/(-5))\/2. Let a be r(o). Is a less than 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 - 138.4. What is the third smallest value in x, -4, -2\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(0 - -1 - -1). Suppose -2*s - 88 = -w. Find the common denominator of (-1446)\/88 - 8\/s and 95\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 7*p + 3. Let k be 12\/(-14)*(-1 + -9 - -3). Determine v(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let j(h) = 10*h**2 - 9*h**2 - q*h + h - 4. Let n be j(3). Solve -6*a + n*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in -11, -159, -25, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 6*r - 3*r)*(4*r**2 + 4*r**2 - 4*r**2) + (6*r**2 - 3*r**2 - 2*r**2)*(3*r - 2*r - 3*r) to the form z + a*r**3 + t*r + y*r**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -24. Let l = i - -4. Suppose -d = -0*q - l*q + 293, q = d + 97. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u + u - 6*u)*(-5*u + 3*u + 3*u)*(4 + 594*u - 2 - 53*u) in the form t*u**2 + a*u + y + q*u**3 and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10333022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6 - 1648640\/(-168) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1104 and 1072329?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q*q**(-26)*q*q))\/(q**20*q))**13)**(2\/63) assuming q is positive.\nAnswer: q**(104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -36 - (-5 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-14) - 2\/(-12). Let f be 2\/(10\/(-2) + 0). Which is the closest to -2\/9? (a) f (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1972 and -0.189.\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8. Let m be u(-4). Let r = m + 1. Let a = 12 + r. Put -3, -4, a in decreasing order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4433.\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 463760 and 2175580.\nAnswer: 147939440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5561127 and 11979?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -33*d**4\/5 - 11856*d**3\/5 + 32739*d**2\/5 + 57594*d\/5 + 13032\/5 = 0.\nAnswer: -362, -1, -3\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2042 bigger than -2043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*n**4 - 8*n**2 - 3 + 5*n**2 to the form h*n**4 + c*n + b + k*n**3 + a*n**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-840) + 1*(-2)\/(-30)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689947243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g\/(g\/((((g\/g**(-5))\/g*g)\/g)\/g)))**11 assuming g is positive.\nAnswer: g**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 11\/(-5))\/((-3)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -314450 + 3?\nAnswer: -314443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -253 - -252.7. Suppose 7 = -14*m - 35. Put -5, 5, h, m in increasing order.\nAnswer: -5, m, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -34*g + 29*g. What is the second derivative of -14*h + 179*h**3 - 6 - g*h**3 + 4 - h**4 + 3*h**4 wrt h?\nAnswer: 24*h**2 - 78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 8*o + 13. Let y = -34 + 25. Let s be t(y). Suppose 0 = 2*u - s, 3*q - 5*q = -3*u - 140. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.1 + -8.7. Let l = t + 21. Let m = -2 + l. Which is the closest to -1? (a) m (b) -2\/15 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 271014612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 61, -2, 0, -5, 23, 2 in increasing order.\nAnswer: -6, -5, -2, 0, 2, 23, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2 (c) -0.101 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 1. Let x(s) = -s**3 + 2*s**2 + 3. Let u(v) = 6*g(v) - 2*x(v). Find the third derivative of u(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86\/11 - -685\/44. Find the common denominator of j and -119\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (546\/(-180))\/7 - (-1)\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 80 = -8*l. Suppose -4*s + b + 128 = -l, -4*b + 36 = s. Let h = 6842\/7 - 975. What is the common denominator of s and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + 100111001101010011?\nAnswer: 100111001101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y. Let l(c) = 43*c**2 - 36*c + 63. Let r(a) = -32*a**2 + 28*a - 49. Let h(b) = -14*l(b) - 18*r(b). Determine h(g(j)).\nAnswer: -1274*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2. Suppose 2*y - 5*k = -3*k, 2*y = -k + 6. Let i(t) = 2*t**2 + 6*t**2 - 4*t**2 - 2*t**y. Determine p(i(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 + 6 = 6*m. Suppose 0 = 11*t - 6 - m. Suppose t*a - 426 = 113. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2\/(-3) + (-35)\/(-84)). What is the nearest to 14 in 0, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3449889 and 78.\nAnswer: -269091342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 4. Let v = h + -2. Suppose 0 = s + 2*i - 710, -v*s - 3*s + 5*i = -3475. What is s rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 35 = 5*b. Suppose 0 = 2*m - b*m - 56. Let d = 18 + -12. What is the remainder when m is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -1*sqrt(108) - sqrt(12))\/((sqrt(24)*-1)\/sqrt(4)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 11*l + 12. What is z(10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 39*j - 18. Suppose -3*c = -5*n + 106, n + 5*c = -2*n + 84. Calculate the remainder when h(n) is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 9 = -3*k, 4*s - 6 + 0 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 25908755.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from llddldllllllldllll?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1665672 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8443 = -w + 34118. Suppose 16*j + w = 25*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 67135\/650 + -22 + (-3)\/(-30). Determine l so that i + 96\/13*l**3 + 2\/13*l**4 + 1244\/13*l**2 + 2208\/13*l = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.38 + 3421.46421.\nAnswer: 3421.84421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 7 = -29 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -15. Let a = -50 + 50.1. What is the nearest to a in 5, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94965067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61356820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(3*d + 4*d - 2*d) + 22*d + 26*d + 73*d + (2*d + 4 - 4)*(4 - 1 - 1).\nAnswer: 115*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1289 and 1761?\nAnswer: 2269929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2 + 1011718*p = 0.\nAnswer: -505859, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 2294.\nAnswer: -11\/2294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45264, -45259, -45260, -45273, -45304, -45359, -45444, -45565?\n\"Answer: -q**3 + 3*q**2 + 3*q - 45269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 57. Suppose 4*j - 3*y = 461, 2*j + 13*y = 14*y + 229. What is the remainder when j is divided by s(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -7\/3*g**3 + 37 - 2*g - 1\/4*g**4 - 7\/2*g**2. What is a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2 + 6 + 1 + s**2 - 2 - 4*s. Let t be x(3). Suppose 4*n - 436 = -t*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -224*o + 229*o - 3*q, -3*o = 2*q + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/770388 and -85\/4.\nAnswer: 770388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 + -3 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 5*n**2 + 180*n - 5. Let z(w) = 2*w**3 - w**2 - w - 1. Calculate g(i) - 5*z(i).\nAnswer: -6*i**3 + 185*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpm when three letters picked without replacement from {r: 2, d: 6, p: 3, m: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8872935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -130, -118, -118, -130, -154, -190?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5339.\nAnswer: 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 18*s + 7. What is the tens digit of v(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5316 less than -5316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*d - 174 = -149*d. Let l(z) be the third derivative of 0*z + 12*z**2 - 1\/45*z**5 + 4\/9*z**d + 0 + 1\/18*z**4. Find s such that l(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -5269\/159590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2. Let d(m) = 14*m**2 - 16*m - 2. Calculate d(p(k)).\nAnswer: 1134*k**4 + 144*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*b + 14, 3*v - v - 2*b = 8. Suppose -v - 7 = -4*m. Suppose -m*p - 1 = -11. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 4*m - 3. Let y be (-4 - -2) + 36\/(-42)*-7. Let r(x) = 14*x**2 - 11*x - 9. Give y*r(i) - 11*j(i).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -10*n + 29. Suppose -2*i + n*p = -258, -2*i - 2*p = -6*i + 508. Calculate the highest common divisor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 8. Let x be q(6). Suppose x = 7*y - 2*y. Calculate the remainder when 7 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 - 2 = 0. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -2*f**7\/35 + 9*f**6\/50 - 9*f**5\/50 + f**4\/20 - 9*f. Determine b so that h(b) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100469, 200850, 301231, 401612, 501993, 602374?\nAnswer: 702755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, d: 3, z: 1, b: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 18. Let y be 0\/n - (-514 - -1). Suppose i + y = 4*c, 0*i + 3*i = 4*c - 523. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20 = -6*m. Let s = m + 7. Suppose s*v = -2*v + 136. What is the greatest common factor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 26*h**2 + 6*h - 144. Calculate g(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.3, -19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07982 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32685 * -955.\nAnswer: -312.14175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*u + 9, -9 = 4*x - 2*u - 3. Find the common denominator of -19 and 6\/15 + x + 5370\/(-800).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-7400)*60)\/((-11)\/(-15)*3).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 311232 divided by 1157?\nAnswer: 311232\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 228942040 a multiple of 1217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -8. Let i(g) = g**2 - 6*g + 5. Let h be i(t). Suppose -k + h*m = m + 8, 5*m = k + 9. Which is the third biggest value? (a) k (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-370)\/(-95) + ((-2)\/(-19))\/1)*(-60)\/(-80).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 108*x**2 - 1659*x + 590. Calculate s(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.3435017 minutes to weeks.\nAnswer: 0.003109474375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.1145?\nAnswer: 0.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 + -85. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725377.\nAnswer: 29, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.439503 and 1.\nAnswer: -25.439503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-2)\/6 - -1). Let y(l) = -3*l - 3. Let u(q) = 4*q + 4. Let a(v) = 2*u(v) + 3*y(v). Let p(j) = -1 - j + 0*j + 0. Give m*a(h) - 5*p(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Suppose -4*m = t*s - 4 - 1, -4*s = 4*m - 4. Let f = 3 - 5. Which is the biggest value? (a) s (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 9*y - 3*y - 17*y - 7*y + 45*y - 22*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 10 = -13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 9:29 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f)**29*((((f*f*f**5)\/f)\/f)\/f)**(-1\/19) assuming f is positive.\nAnswer: f**(1649\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 4269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(192)*-2)\/(sqrt(24)*-6))**2 + -2*((sqrt(2) + 0)*-1 - sqrt(2)) + (6*(1 + sqrt(242)))**2.\nAnswer: 796*sqrt(2) + 629905\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54365 is divided by 491?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 159*q. Let f(g) = -3*g. What is f(a(j))?\nAnswer: -477*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 6. Put -4, 3, s, -2 in descending order.\nAnswer: 3, -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let p(n) = 7*n. Give p(t(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 170? (a) -0.4 (b) -68 (c) -2 (d) 1 (e) -4 (f) 10.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*w**5*y**2 + 81*w**3*y**3 + 8*w*y**3 - 30*y**3 + 1 wrt w.\nAnswer: -280*w**3*y**2 + 486*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a7e + -4c3?\nAnswer: -9052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 + 94.9. Which is greater: -106 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = 0, -c - 3*w = -2*c - 16. Let l be (1 - (0 - c))\/(-2). Find p such that l*p + 0 + 2\/9*p**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 25 + 105. Suppose 4*q = -3*k + w, 3*k - 4*k + 6 = 2*q. Suppose -3 = 3*z - k*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, u: 3}. Give prob of picking 3 r.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:03 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, and 2 p when four letters picked without replacement from spdcdpst.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5598 by -6.\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 3*q + 9. Let i be v(-4). Let o = -1 + 1. What is the first derivative of -6 + o + 2 - i*b + b wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3378 - 3170. Let w(s) = s**3 - 3*s**2 - 8*s + 6. What is the lowest common multiple of o and w(5)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 2 + 725*z**3 - 2 - 2044*z**3.\nAnswer: -1319*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - 6) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 11 + 3*d - 6*d + 2 in the form z*d + i and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/3708)*(-1067)\/2134. Which is smaller: i or -924?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)\/h*h**(-5\/12)*h*h)**32 assuming h is positive.\nAnswer: h**(-1192\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12) - (1101\/180 - 6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 22 + 20 + 2*l**3 + 5 + 3*l**3.\nAnswer: 5*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1076 + 24975. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7022 or -7035?\nAnswer: -7022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -24*t + 93. Calculate u(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) 2 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) + 39\/12. Let r = -2 + -2. Put r, k, -1 in increasing order.\nAnswer: r, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 187*k + 1307. Determine r(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 11. Let m be c(-7). Solve 3*o = -m*h - 18, 0*o + 2 = 5*o - 4*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 17*p**2 - 16*p + 8. Let n be b(-16). Suppose -n*a = -7*a. Suppose f + 3*q - 18 = -6, -2*q - 6 = a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.552 + 40. Let m = -0.048 + l. Let k(o) = -2*o + 1. Let q be k(1). Which is the closest to m? (a) q (b) -5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((16\/(-40))\/(8\/(-10))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*-1 + sqrt(304) + 4)*5)**2 - (3*(2 + sqrt(304) + 0))**2.\nAnswer: -2372 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**15*t**2*(t**10)**(-11) assuming t is positive.\nAnswer: t**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 17*u - 72. Let f be (u\/(-78))\/(6\/(-8)). Let q be ((-4)\/(-6))\/((-8)\/(-6)). Which is the closest to -1? (a) -2\/5 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-6 + 4)*1. Suppose -y = -x*y + c + 15, 0 = y - 3*c - 13. Solve -4*b + r = -7, -y*r = -0*b - 4*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 6*r. Let x(y) = y**3 + 15*y**2 + 13*y - 11. Let l be x(-14). Let s be w(l). Suppose -4*j + 704 - 76 = s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 4, 0.2, -36 in increasing order.\nAnswer: -36, -2\/3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 v when three letters picked without replacement from rcvrrrrrjcj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 966 and 1334.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4728041 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c, 0 = -4*n + c + 15 + 1. Suppose -n*p - 4*w - 86 + 266 = 0, 5*w + 57 = p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 + -89. Is 0 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, c: 2, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 3377*g**7\/21 - g**3\/3 + 254*g**2 + 1321*g. Find the second derivative of f(m) wrt m.\nAnswer: 135080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2814 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: What is the lowest common multiple of 6 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqppqppqc. What is prob of sequence cq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 11*x**2 + 15*x - 10. What is r(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.3 or -13.94?\nAnswer: -13.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.40249ml?\nAnswer: 0.00240249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*u - 89084 = 0, 11*u = 3*m + 16*u - 66749. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:33 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose 36*v - 12 = 31*v - 3*y, -2*y = 5*v - 13. Which is the nearest to q? (a) -4\/5 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*j**2 - 8 + 2*j**2 - 6*j**2 + 334*j**3 + 4.\nAnswer: 334*j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2212 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. Let t = 9 - d. Suppose -5*c = -19 - 26. What is the highest common factor of t and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3315 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 35 = -7*w. Let q(p) = 2*p - p - 1 - 2. Calculate q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.04 or -2054965?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525781 (base 9) in base 8?\nAnswer: 1142514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4307\/31 + 139. Let t = i - 163\/124. Are t and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 482 and 482 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -380 - -482. Which is greater: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 211*u**2 + 584*u - 25. Is w(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 3*l - 3. Let k be i(5). Let x = 123 + k. Suppose x = 4*d + d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -7\/2*s**2 - 49*s - 28 - 1\/12*s**3. Factor w(v).\nAnswer: -(v + 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f = 22*f - 46*f + 475 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326697, -2613628, -8821029, -20909136, -40838185?\nAnswer: -70568412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 101\/8?\nAnswer: 101\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 5) + (0 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 17*q - 4 + 3)*(14*q + 6*q + 6*q)*(-1 - q**3 + 1).\nAnswer: 546*q**5 + 26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*s - 37, -42*t + 40*t + 23 = 3*s. Let r(x) = x + 5. Let z(h) = -2*h - 16. Give t*r(l) + 3*z(l).\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10231 is divided by 1020?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5 - 2832*n**4 + 5648*n**3 + 8*n**2 - 5652*n + 2824 = 0. What is n?\nAnswer: -1, 1, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.02728 and 3.\nAnswer: -9.08184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/4, 11, -6, -22.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -207, -296, -387, -480?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 + 3*m**4 - 2*m**4)*(9 - 2 - 1)*(3 - 5 + 1) - 2*m**4 + 4*m**4 - 3*m**4.\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 31*t. Let f(b) be the second derivative of -b**3\/6 - 419*b. What is -6*f(c) - y(c)?\nAnswer: -25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -0.3 (c) -4 (d) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 2*k**3\/3 - 3. Let j(g) be the third derivative of g**5\/30 + g**2. Calculate j(d(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 12 = -2*i, 5*i = 4*s - 0 + 3. Let j(g) = 2*g - 2*g**2 - 4*g + 4*g**2. List the prime factors of j(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7788763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from cgqqagqqcqqq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s*s)**7*(s**(3\/5))**8 assuming s is positive.\nAnswer: s**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -31474.\nAnswer: 31\/31474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348914*m**4 + 3*m**3 - 5153291*m**2 - 3*m - 8.\nAnswer: -8373936*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 + 0 + 0. Let c(s) be the first derivative of 3*s**2\/2 - 526. Determine l(c(j)).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11911 (base 12) in base 4?\nAnswer: -11303131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*d**2*f**5 + 437*d**2*f**4 - 71175*d**2*f**2 wrt f?\nAnswer: -3360*d**2*f**2 + 10488*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 13035?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from yydyyovkvo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.78 - -61.98. Let g = 3 - 3.02. What is the third biggest value in i, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from sbddddddddddbbsdd?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 3:31 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20834*f**5 + 18*f**2 + 2*f - 6.\nAnswer: -1250040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -19. Factor -2\/7*d**3 + 48\/7*d**4 - 32\/7*d**5 - 12\/7*d**c + 0 - 2\/7*d.\nAnswer: -2*d*(d - 1)**2*(4*d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 2101596*a - 4203176.\nAnswer: -4*(a - 525397)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l**3 - 2*l**2 - 11*l - 12. Give b(-2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 j when three letters picked without replacement from {l: 1, j: 1, w: 1, q: 2, c: 1, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2625 + 20?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -528 + 1293. List the prime factors of v.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/16 + g**3\/3 + 3*g**2\/8 - 16. Solve m(i) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - k - 1 = -2*t, -5*k + 1 = -3*t. Suppose 4*p - 80 = -t*v, 3*p = 2*v + 18 + 25. Calculate the greatest common factor of p and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 12080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 491*n**2 + 8*n - 9566. Let g(l) = -495*l**2 - 7*l + 9565. Let j(p) = -4*d(p) - 5*g(p). Differentiate j(w) with respect to w.\nAnswer: 1022*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/7 - 52\/6)*-30. Calculate the greatest common divisor of v and 495.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*b - 3*l - 288, -3*l = -b + 44. Suppose 0*y + 3*y = -5*d - b, -4*y + 2*d = 40. Is ((-21)\/y + 2)*8 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290385740.\nAnswer: 2, 5, 19, 47, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 12 + (58 - -18)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -31*m**2 - m - 5. Let o be a(-2). Calculate the common denominator of 47\/3 and o\/28 - (-144)\/(-192).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339 and 55257.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/21*(-261)\/(-12). Let u = 55 - j. What is the smallest value in u, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -61, -126, -223, -364, -561, -826?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:37 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*u + 18*u + 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = 2*i - 4, 0 = -2*r - 6. What is the highest common factor of i and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 4*q + q + 231*q + 435*q + 252*q + (-q - 2*q + q)*(1 + 2 - 1) + 0*q + 0*q - q to i + c*q and give c.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2064 divided by 516\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1520.\nAnswer: -3\/1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1290*t**2 + 13*t + 19. Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 10. Let p(x) be the third derivative of x**5\/60 + 5*x**4\/24 - 4*x**3\/3 + 2*x**2. Let b be p(o). Solve -b = -4*g - 4*r, 5*g - 4*r - 10 = r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 5. Let v be x(6). Suppose 0 = -2*t - 5*n + v, 3*t = 4*t + 3*n. Suppose 2*d - 5*s = 159, -t*s = -5*d + 273 + 115. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 318*j - 321*j - 9, -3 = -3*q + j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - d = 10, -4 - 16 = 5*d. Suppose 0 = -3*l + 4*l - 4. Sort l, 5, h, 2 in decreasing order.\nAnswer: 5, l, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13)\/(-30) - 3) + (-2169)\/(-13014))\/(78\/40)?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**35*(u*(u*u\/(((u*u**(-6))\/u)\/u*u*u)*u)\/u)\/(u\/u**(-2)*u) assuming u is positive.\nAnswer: u**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3609, -7212, -10815, -14418?\n\"Answer: -3603*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/60 - 34*n**5\/5 + 131*n**4\/4 + 803*n**2 + 1. What is the second derivative of g(r) wrt r?\nAnswer: -12*r - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 47923, 2, 0.05, -5, -1\/11?\nAnswer: 47923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2508)\/42636*(2 + -937)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (5 + (7 - 10) - -5)) + 78?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**30)))**(-39)\/(m**2*m**18\/m) assuming m is positive.\nAnswer: m**(-1228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose 6*a - g*a = 0. Suppose a = -j - j + 8. Solve -u - 3*x = -x - 5, 4*u - 4*x + j = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - p = 2*v + 13, 2*p = -3*v - 4. Suppose 2691*a = 2690*a. Let q be 2*(-6)\/12*(a + -4). Solve 3*n - 4 = 4*f - 2*f, v*f = q*n - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 337636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3169 times -885\nAnswer: -280.4565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5*15\/6)\/((1479\/(-51))\/(-870)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9911368 plus -68.386?\nAnswer: -65.3948632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 271627 divided by 271627?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1374894242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-50)*5\/(-7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 16*p + 26. What is f(15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 643 and -1608964?\nAnswer: 1609607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 7. Let g be b(12). Solve -5*m - 26 = -3*o, 3*m + g*o + 0 = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9 + 60136\/120 + (-2)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Let a be y(2). Suppose -2*t + b = -2, 4*t - 12 + a = b. Let x = -4 + t. Let f(r) = -4*r + 5. Let l(u) = u - 1. What is x*f(h) - 5*l(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 4*k**3 + (1 - 1 - 2*k)*(4*k**2 - 3*k + 3*k) as p*k**2 + t*k**3 + q + s*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 6 = -16*k. Let g be (k\/(-4))\/((-3)\/9360). Round g to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-145)\/20)\/((-2)\/24). Find the second derivative of 40 + 47 - z + 22*l + 25*l**2 wrt l.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 45. Suppose 4 - 12 = 4*d, 3*y - 3*d = f. Suppose -10937 = -y*b + 3568. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/120 + 17*l**5\/60 + 17*l**4\/24 + 17*l**3\/3 + 2*l**2 + 24. Give d(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -224*u + 31. Let t(j) = 224*j - 36. Calculate -7*g(v) - 6*t(v).\nAnswer: 224*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 2. Let n = i + 6. Suppose 3*s - 51 = -f, -5*s + 5*f - n + 107 = 0. Calculate the greatest common divisor of s and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253551.8496 + 253664.8496071. Let n = c - 113. Round n to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/6*3\/21. Let k be 2 - (0 + -2 + 1). Suppose k*s - 4 + 1 = 0. Is s less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n - 3 + 1 + 20*n + 2.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105, -121, -139, -159, -181, -205?\n\"Answer: -b**2 - 13*b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 17. Let n be j(-7). Let u be 10 - (5 - n) - 1. Differentiate 0*v + u + 4*v - 3*v + 6*v wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 10*z**2 - z - 5. Let b be n(-5). Suppose b = 4*k + 5*m - 297 + 36, -5*k + 3*m + 354 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 260*k**4 + 25*k + 6?\nAnswer: 3120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((15 - 1) + -30 - (-7 + 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027578 to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r. Let i(j) = j**2 - j. Let q(m) = b(m) + i(m). Let p(c) = c**3 - 3*c + 4. What is the remainder when p(3) is divided by q(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikvzvzgkgok. Give prob of sequence ovg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 103, 111, 119, 127, 135, 143?\n\"Answer: 8*c + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -91099828?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 18 = -2*t, v + 3*v = 2*t + 14. Let i(w) be the first derivative of -3 + 2*w - 1\/2*w**2. What is i(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1646559 or 21405285\/13?\nAnswer: 1646559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5050 (b) 15 (c) 55 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -54. Let q(v) = -17 + 202*v + 11*v**2 + v**3 + 0*v**k - 216*v. What is q(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide ((-27)\/(-9))\/(6\/82)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2\/(-1) - 2). Suppose w = 2*w + g, -w - 4 = -3*u. Solve 0*p + 2*p - 1 = -3*q, -2*q - 5*p - 3 = u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 14, s: 4}. Give prob of picking 1 w and 1 s.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 18102862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -2582?\nAnswer: -2576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-5 - -5)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 4, 43*k - 50 = 48*k + 5*z for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*w**3 - 533*w**3 + 1099*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*q = -8*q + 20, 0 = -5*o - q + 4. Suppose o = -5*g - 0*h - h - 849, 172 = -g + 2*h. Let k = -291 - g. Round k to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -42425*g - 169717. Determine t(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-728)\/(-64) + -11).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r + 42*r = 7700. Solve 7*t = r - 105 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 31614*y**3 - 83255463*y**2 + 166605780*y - 83318700.\nAnswer: -3*(y - 1)**2*(y + 5270)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = d - 0*d + 3*k, 2*d - 2*k + 126 = 0. Let o be d + (13\/39 - (-22)\/6). Let g = o + 72. Calculate the smallest common multiple of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 45 - 57 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5*u + 5. Let x(w) = 1. Let z(i) = b(i) - 6*x(i). What is z(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942*q + 1524 = 4350 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19304 is divided by 19111.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, y: 12}. What is prob of sequence hhyy?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 3*b)*((4 - 5 - 1)*(0 + 1 + 0) - 3 + 2 + 0 + (-3 + 2 + 3)*(-1 - 2 + 6)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 142.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 13 = -y + 18*v, -12 = -4*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -95. Let m be 2*3*20\/b. Suppose 0 = -m*w + 16562564 + 5517436. Round w to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 177 = -3. Let t = y - -15. Let h = t - -63. Calculate the smallest common multiple of h and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/10130 and 47\/35.\nAnswer: 70910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2434*y - 51542 - 106464 = -6951*y + 45259 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2*s**3\/3 - 799. Let y(o) = -o + 7*o + 5*o. What is y(n(p))?\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 739379682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5544224 (base 6) in base 11?\nAnswer: 1800a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166940534 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4860*x**3 + 13182*x**3 + 42728*x**3.\nAnswer: 51050*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + (-91 - -70)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 o when four letters picked without replacement from {x: 6, o: 4, w: 3, h: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*o - 18 - 304 = 0, 155 = -n - 5*o. Let b be (-47)\/44 - 6\/n*-5. Let m be 8\/(-12)*6\/4. Is b smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + 2*sqrt(2299)*1.\nAnswer: 2 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70865, -141668, -212471, -283274, -354077?\nAnswer: -424880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -711, -634, -557, -480?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggagagagag. What is prob of sequence ag?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -14. Suppose 16*p - r*p - 25 = 0. Suppose -t + 33 = p*s, 2*t = 2*s + 3 + 3. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010100 + 110001010010000101?\nAnswer: 110001001100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5760*q - 3*q**4 - 2*q**4 + 0*q**4 + 107*q**3 - 37*q**3 + 180*q**3 - 3360*q**2.\nAnswer: -5*q*(q - 24)**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 0.38. Let y = -68.8 + 56.28. Let i = y + 1.52. Sort i, -0.4, j, -2 in ascending order.\nAnswer: i, -2, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 + 7*z - 7. Let p be u(4). Suppose -4*f + p*k = -0*f - 20285, 0 = 2*f + 2*k - 10120. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.544717l to millilitres.\nAnswer: 3544.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from xxtxxttxttxxxxxxxx.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/20))\/((x**(-7)*x)\/x)*x**15\/((x\/(x\/x**21))\/x) assuming x is positive.\nAnswer: x**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*j + j - 1499, 1873 = -5*j + s. Calculate the remainder when 33 is divided by j\/(-18) + (-84)\/(-378).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759257701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4*(-4)\/(-1). Let w be 32\/b*525\/42. Let q = 117 - w. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2751 - 2018 - 113 - 5668 - 6372 + (4 + 1 - 3)*(3 - 2 + 0))*(-6 + 6*z + 6) as g + m*z and give m.\nAnswer: -68508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 331759 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 2, l: 2, h: 8, w: 1, a: 2}. What is prob of sequence xtx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 337870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -3 + 2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -182, -274, -366, -458?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 0 - 2\/7*t**4 + 2\/7*t**2 - 2\/7*t + 2\/7*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j + 1\/120*j**6 - 4\/15*j**5 - 12 - 3*j**2 + 43\/24*j**4 + 0*j**3. What is the second derivative of t(u) wrt u?\nAnswer: 6*u - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.3, 0.5, -0.073, -70 in descending order.\nAnswer: 0.5, 0.3, 2\/19, -0.073, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/475)\/((-45)\/(-75)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1278 divided by 3.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10064351 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1235 - -1182.7. What is y rounded to zero dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1 + (-780)\/18. Let d = x - -42. Factor 4\/3*k**2 + 0 + 2\/3*k + d*k**3.\nAnswer: 2*k*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 50229092 - 50229092.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u + 2 + 2 = 0, g - 17 = -4*u. Suppose 5*r - x - 101 = -386, g*r + 300 = 4*x. Let z be 32\/r*7\/2. Which is greater: z or -18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 - (1 - -1)) - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 279 - 284 = 5*t, -3*k = 2*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2696.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001001000 - 100101100010001100?\nAnswer: -100100110001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 - 3*l**2\/2 + l. Suppose -h + 19 = -5*j, j + h + 0*h = 1. What are the prime factors of d(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/7)*l)\/l**(-1\/7)*l\/(l*l**(-1\/3))*l**6\/l)**(-44) assuming l is positive.\nAnswer: l**(-5588\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-1760)\/12265) + 58?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 0 + 0)*464\/12. Is 68\/(-24)*n*(-24)\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -2*y + 8*k - 14, 5*y + k + 19 = 0. What is the nearest to -0.8 in 2\/5, y, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9699508*b**4 + b + 8297787.\nAnswer: -116394096*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 6*u**2 - 6*u - 2. Let h be (-2)\/(-6) + (-64)\/12. Let x be l(h). Let k = -128 - -130. Solve -x*a = k*y + 5, -5*y + 6*a + 25 = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -464\/3 - -155. What is the nearest to u in -2\/7, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -226*a**2 + 227*a + 1. Determine h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8205417 is divided by 1956.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 4*v - 5. Let m be g(6). Suppose -5*t - 6*j + 2*j - 17 = 0, 2*t - m = 3*j. Is 69*-1*t\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683148 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccfafcaaiaaacaiiffa. Give prob of picking 1 c and 3 i.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 3, 2\/3, 23, -2\/105?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -220*w**2 - 32*w + 5. Let b(z) = 2*z**2. Calculate x(b(d)).\nAnswer: -880*d**4 - 64*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - f. Let y be d(-1). Let g(l) = 2*l + y*l + 1 + 3 - 6*l. Let u(k) = 4*k - 5. Let p(j) = -4*g(j) - 3*u(j). What is p(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552442.\nAnswer: 2, 11, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3*v**4\/2 + v**3 + 3*v - 1. Let q be i(3). Suppose 4*y + 3*m = q, 9*y - 251 = 4*y - m. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - (-15 + 6 + -3) - 28?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60 - (-33 - (3 + -34) - (-8 + (-2 - -1)))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 373, 22, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -11*l - 2*l - 108 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -196*d**3 - 3*d. Let u(s) = 104077*s**3 + 1592*s. Give 1592*c(h) + 3*u(h).\nAnswer: 199*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/8 + 69*w**2\/8 + 81*w + 145\/2 = 0.\nAnswer: -58, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 + 2)) + (3 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 378 - 376. Solve -2*p = 3*i - 25, -3*i + c*p = -3*p + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5858323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -1329?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31b - -4a?\nAnswer: -2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16032274 to the nearest integer?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -22*k**2 - 462*k - 3. Let i be n(-21). Sort i, 136, 5.\nAnswer: i, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**3 - 214*r**2 - 26*r - 745. Give j(43).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*k - 45*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose 9*u - 35 = -8. Let t be (3\/(-3))\/(2\/(-6)). Solve -t*p - 6 = -i - u, 0 = -p - o*i + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + 2*u**2)*(4*u**2 - 6*u**2 + 0*u**2) - 469*u**3 - 5*u**4 + 469*u**3 + (-u**3 - u**3 + 3*u**3)*(-u + 4*u + u).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 32*f)*(-4*f**2 - 3*f**2 + 4*f**2) + 3*f**3 + 0*f**3 - f**3.\nAnswer: -94*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-6 - (-150)\/45))\/((-8)\/(-16)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)\/a)**(-46)\/(a*a**0)**44*((a\/a**(2\/3)*a*a)**28)**(1\/77) assuming a is positive.\nAnswer: a**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - (-2)\/6. Let d(h) = g*h - 4*h + 5*h + 3*h. Let y(z) = -9*z + 1. Determine 5*d(l) + 2*y(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 + 0 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d = 0. Suppose -y + r = 2, -4*y + d*r + 7 = -r. What is the units digit of 2*9\/6*y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r - 6. Let m be 605\/35 - r\/(-7). Does 10 divide 5\/(10\/(-6)) + m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 16*y**2 - 5*y - 14. Let i = -245 - -262. Is k(i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -7)*(-3)\/(-6). Calculate the highest common divisor of k and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464 divided by 4?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-8))\/((40870\/(-183))\/(-134))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348828 (base 11) to base 9.\nAnswer: 1033057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*v + 92, -2*v - 46 + 9 = -f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*p - 20 - 175, -3*i = -3*p + 123. Let m(x) = -4*x + 68. Let f be m(7). Is p bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from jliqqlqniqi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + m = -85, s - 3*m = m - 2. Let f be 2\/(-9) - ((-184)\/s + 4). Let w = 16 + -13. Solve 3*d + w = -f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*z - 20 = -5, 5*t - 35 = -5*z. Calculate the greatest common factor of 106 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9619236 is divided by 353?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000702155 to 7 decimal places.\nAnswer: 0.0000702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*(-135)\/(-18). Let r = u + 3. Let z(d) = -d**3 - 4*d**2 - 4*d - 2. Let f be z(r). Which is greater: -7\/5 or f?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/243 and 8\/41253?\nAnswer: 3341493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 1532*k + 776*k + 19 + 756*k.\nAnswer: 3*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1418366807 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 44 - 1\/18*o**3 - 1\/6*o + 1\/6*o**2. Factor d(t).\nAnswer: -(t - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130325.7 days to milliseconds.\nAnswer: 11260140480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 1. Let t be c(1). Let r = t - -24. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 6*v**2 - 12*v + 89. Give f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1)\/(29 + -30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(25*g**2 - 30*g**2 + 37*g**2) to the form c + w*g**2 + d*g and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*n + 98 + 160 = 0. Sort 0.1388, -0.4, 2, n in descending order.\nAnswer: 2, 0.1388, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10335 = 1710*c + 1006*c - 73861 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 20 = 0, 2*j + b = 3*j - 520. Let n = -60 + j. List the prime factors of n.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:11 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16870010 - -78?\nAnswer: -16868821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1753688 - 876845 - 876843 - 8347*n.\nAnswer: -8347*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from rzrptbe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 w when three letters picked without replacement from ggwuugwgzwuinzzn.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6953.8 - -1846\nAnswer: -5107.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 73371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*2 + 0 + (6*(-2 + sqrt(272)) - sqrt(272)))**2 - (-2*(1 + sqrt(272)) - -2*(sqrt(272) + 2))**2.\nAnswer: -672*sqrt(17) + 13468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/75515738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 12, z: 5}. What is prob of picking 1 i and 2 z?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 745, 723, 685, 631?\n\"Answer: -8*x**2 + 2*x + 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 10795?\nAnswer: 10795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*t + 345, 452 = -3*w - 5*t - 37. Calculate the common denominator of (9\/w)\/(4 - (-1887)\/(-474)) and 99\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -327, -299, -249, -177, -83, 33?\n\"Answer: 11*g**2 - 5*g - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678, 7984, 28558, 69036, 136054?\nAnswer: 236248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94 + 423*z**2 + 10914*z + 262*z**2 - 5459*z - 5457*z - 227*z**2 wrt z.\nAnswer: 916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35.22 and 0.6.\nAnswer: -21.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 554525 (base 7) to base 4\nAnswer: 113312030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 39*b**2 + b + 31. Calculate d(39).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 6:12 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p**3 - 16*p**2 - 75*p + 24. Is 142 a factor of q(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**8\/3360 + g**7\/1680 + g**3\/2 - 3*g**2. Let l(z) be the first derivative of d(z). Factor l(v).\nAnswer: v**3*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 142*s**5 - 5679*s**4 + 61872*s**3 - 20012*s**2 - 1472400*s - 10368 = 0. Calculate s.\nAnswer: -4, -1\/142, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 6 = 0, -2*d - 133*l = -128*l + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, 2, 0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 8*h. Determine z(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 524 or 528?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1*-2*(sqrt(5) + -1))**2 - sqrt(40)\/(-1*sqrt(392))) + -5)*-1.\nAnswer: -17 + 55*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)*p**6*p**1\/p**(-2\/11)*(p\/(p**(2\/5)*p*p))**(17\/5)\/(p**(2\/9))**2 assuming p is positive.\nAnswer: p**(-7481\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 238500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -61, -47, -41, -43?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t + 8 = 17*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2211*r**2 - 2103*r - 506. Let m(h) = -4420*h**2 - 4205*h - 1010. Let l(z) = -3*m(z) + 5*w(z). Determine v, given that l(v) = 0.\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8*o = 5*p + 120, -5*o = p - 144. Factor 9*c**2 - 37*c**3 + 3*c**5 + o*c**3 - c**4 + c - 3*c.\nAnswer: c*(c - 1)**2*(c + 2)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-4 - (-8 - -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -0.5 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4217222062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Solve -5*r = -2*h - 5, 11 = 2*r + f*h - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*x + 32, -5*q - 22*x + 20*x + 7 = 0. Suppose -m - 2*p + 9 = -0, -5*m = -q*p - 19. Solve m*c + 24 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28782, -28751, -28708, -28647, -28562?\n\"Answer: b**3 + 24*b - 28807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10054, 12997, 17898, 24757, 33574, 44349?\n\"Answer: 979*j**2 + 6*j + 9069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2207012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m - 8. Let b = -191\/988 + 3\/76. Which is greater: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392613997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/12 + 4*f**3\/3 - 6*f**2 - 6*f. What is the lowest common multiple of 16 and r(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, s: 5}. Give prob of sequence zzs.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*b**3 + 316*b**2 - 432*b = 0. Calculate b.\nAnswer: -108\/29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 109, 257, 463?\n\"Answer: 29*f**2 + 3*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4282790 divided by -1?\nAnswer: -4282790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214 (base 6) in base 15?\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 178, 303, 436, 565?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6582481*a + 24396523.\nAnswer: 6582481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnll when four letters picked without replacement from nllllllnlllnll.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i**3 + 8*i**3 - 100*i**3 + 27*i**3.\nAnswer: -173*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9161 rounded to 2 dps?\nAnswer: -3.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*w + 94 + 186, -3*x = -4*w + 280. What is the remainder when 221\/1105 - 254\/(-5) is divided by 1\/2 - w\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(12\/(-18)))\/((-30)\/5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.12, 2, 1, 4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(78) - (sqrt(78) - sqrt(78)*-3*2)))\/((sqrt(240)*2)\/sqrt(10)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -33.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwggwggggwwgwggw. Give prob of picking 2 w.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**3 - 740*q**2 + 751*q + 1260. Calculate h(-149).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*5*(sqrt(2299) + 1) + 5)*5.\nAnswer: -1375*sqrt(19) - 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:53 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + o)*(195 + 206 + 788*o - 401).\nAnswer: 1576*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -489*y**2. Let n(m) = m**2 + 24*m. Calculate n(a(r)).\nAnswer: 239121*r**4 - 11736*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(0 + 8))\/((-13)\/((-208)\/20)). Suppose 2\/5*u**2 + 2\/5*u**5 + 0*u + 0 - 2\/5*u**3 - g*u**4 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -5703?\nAnswer: -56bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 + h**2 - 345 - 5*h**2 + 115.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249541.\nAnswer: 249541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -105 + -10295a?\nAnswer: -102a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 17*j**3 + 2*j**3)*(-3 + 3 + 3).\nAnswer: 51*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16464672?\nAnswer: 2, 3, 7, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 + 39*q**2 + 2*q - 2. Let d(j) = -j**3 - j**2 - j + 1. Give -2*d(k) - u(k).\nAnswer: -2*k**3 - 37*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95740271 is divided by 21323.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 27 = 7*n. What is the remainder when 2\/(n\/(-4)) + 14 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - k**2 + 2*k - 2. Let g(f) = 19*f**3 - 6*f**2 + 12*f - 5. Calculate -g(b) + 4*s(b).\nAnswer: -11*b**3 + 2*b**2 - 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-27)*o*o)\/((o*o**(1\/51))\/o*o)*((o*o\/o**(3\/5))\/o)**(9\/2))**(5\/6) assuming o is positive.\nAnswer: o**(-2833\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 10 + -21 + (-7 - 1) - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 39*v. Let k(p) = 6*p + p - 10*p. Determine q(k(o)).\nAnswer: -117*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + 588\/288*6 and -1\/4203.\nAnswer: 16812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140658907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, c: 10}. What is prob of picking 3 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-32))\/11*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**3 - 16*h**2 - 22*h - 8. What is l(-4)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(3))**2 + 5 + sqrt(10)\/sqrt(2).\nAnswer: sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2858, -2889, -2950, -3059, -3234, -3493, -3854?\n\"Answer: -3*g**3 + 3*g**2 - 19*g - 2839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4414 divide 644752980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 41, -2 in decreasing order.\nAnswer: 41, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 37*y**2 + y - 1. Let v be t(1). Suppose 0 = -h - v - 18. Let c be 3\/h*(-6 + 1). Is 1 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = -45*u + 394 - 1689 - 507 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (108\/60)\/((-3)\/(-10)). Let p be -2*r\/(-2 + -1) - -3. Let v(i) = -2*i + 10. What is v(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 19*u + 898. Give l(39).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 751 = 5*l + 2*n, 0 = l + n - 152. Let w = l + -99. Let g = -40 + w. What is the greatest common factor of g and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cca when three letters picked without replacement from {w: 1, a: 1, i: 2, x: 1, n: 2, c: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)*(0 + 0). Suppose -2*s - 5*g = 3*s + 5, -s + 4*g = -4. Suppose s = 5*r - x - 125, 4*r - x - 100 = 3*x. Solve m = u - 6*u + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 5*x - 18, 2*x = 4*s. Suppose -i = 5*b - 37 - 1, s*i + 3*b = 83. Let j(f) = f**2 + 8*f - 9. What is the remainder when i is divided by j(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2828.15 micrograms?\nAnswer: 0.00000000282815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 12*t + 107*t.\nAnswer: 104*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58847 - -58838. Let d(w) = -w**3 - 7*w**2 - 2*w - 8. Let u be d(-7). Sort -3, j, u in descending order.\nAnswer: u, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 + 11*d**5\/60 - d**4\/2 + 11*d**3\/6 - 33*d**2. Calculate l(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f - 93*f - 19*f)*(-3*f + f + 6*f).\nAnswer: -376*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i - 14*i = 90. Suppose -t + 3*o + 36 = 3*t, 0 = -2*t + 2*o + 20. Put 3, 5, i, t in decreasing order.\nAnswer: t, 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -38651.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8331, -3, 0, 53, -2 in ascending order.\nAnswer: -3, -2, 0, 53, 8331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-33)\/g)**(-2\/51)\/(g**(-9)*g**(1\/2)) assuming g is positive.\nAnswer: g**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -29279.\nAnswer: -29284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 19*w - 16. Let h(g) = 3*g - 4. Let a(z) = 4*h(z) - y(z). Let b(q) be the second derivative of -q**3\/6 - 2*q. Determine b(a(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/45 + 1\/(-3). Let c = -19481 - -19480. What is the nearest to 0.1 in c, o, 0.06, 0?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1927, -4, 0.56, -0.6, 8 in decreasing order.\nAnswer: 8, 0.56, -0.6, -4, -1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.084313 rounded to three dps?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(171) + -5 + (sqrt(684) - (sqrt(684) + -5) - sqrt(19))*-6).\nAnswer: -9*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2 + 1)*10\/(-80).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 + u + 10. Let j be v(-5). Suppose -5 = -j*g + 10*g. Suppose -3*r - 2 = -14. Sort g, -3, r.\nAnswer: -3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Suppose i*f + 8416 + 1769 = 5*j, -5*f = -j + 16997. Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12 - -5) + 318307)\/((-7)\/(-1400)). Round s to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1069 and -0.1?\nAnswer: 106.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 + -192. Let y(p) be the second derivative of -7\/20*p**5 - 11\/6*p**3 + 0 + 0*p**2 + 0*p**s + 3*p. Find the second derivative of y(b) wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 3\/5, 0.187, 1.3, -1, 1.14, -1\/3?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/182 + 906\/26. Let m = r - 29. Solve 0 = w - m*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 0 + 2\/3*i**5 - 2\/3*i**2 + 2\/3*i**4 - 2*i**3 + 4\/3*i = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.987 to 0 decimal places.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - (-111950)\/1400) + -32.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 342\nAnswer: -10\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a**2 + 18*a + 7. What is o(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 54 and 116 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnaaaaananaaannann. Give prob of picking 3 a.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 863 - 782 - 298 - 393)*(-1 + 1 + j).\nAnswer: -3*j**2 - 2336*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(2\/7)\/v)))**(-3\/26)*(v\/(v\/(v\/(v\/((v**(-1)*v)\/v)))*v))**(-2\/31) assuming v is positive.\nAnswer: v**(1193\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7185, -7214, -7233, -7236, -7217, -7170, -7089?\nAnswer: -6968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5, 11124, -1\/7 in decreasing order.\nAnswer: 11124, 2\/3, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/597 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-14))\/((-2)\/(-4)). Find the second derivative of 34*p**2 + 47*p**2 - 2 - 81*p**d + 269*p**4 - 211*p wrt p.\nAnswer: 3228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150190625 and 3125?\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 3*b. Suppose 2*z = -2*z + 524. Suppose -2*i - 3*g - 15 - 56 = 0, -5*g + z = -4*i. Let t(s) = -11*s**2 - 17*s. What is i*l(v) + 6*t(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let s be (-12)\/10*(-20)\/6. Let q(p) = -p + s*p + 0*p - p. Determine q(x(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35256553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 1940 = 2*c. Let x(o) = c*o + 1 - 185*o - 6. Calculate the remainder when x(3) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/5760 and 23\/792000.\nAnswer: 1584000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -20) + -15 + 4 + -17 + 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110304 + 1140?\nAnswer: -104114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58725205 minus -17?\nAnswer: 58725222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:05 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -43) + -4 + 37 + -7 + -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1137\/340 + 8\/85. Let g = j + 31\/12. Is g < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.55 - 0.85. Which is the nearest to -1\/2? (a) 2 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3589*l**2 + 2116*l**2 + 1847*l**2 - l. Let p(s) = -3*s. What is z(p(h))?\nAnswer: 3366*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 1. Let d(g) = 0*g + 5334 - g - 2665 - 2670 + 4*g. Calculate 5*d(u) + 6*q(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2981 + 299. Suppose 162*o - 157*o = b. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 6. Let q be m(-6). Suppose -6*j + j - n = -4, 5*j + 3*n - q = 0. Let z(d) = j*d + d - 4*d - 3*d + d**2. What is z(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 1556*l + 167357.\nAnswer: -(l - 1657)*(l + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24411?\nAnswer: 3, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 11*o - 95*o + 17940. What is the remainder when o is divided by (-5)\/(-25) + 244\/5?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 4, m: 6, k: 2, h: 1}. Give prob of sequence eh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*l = -3*h - 30, 0 = 3*l. Let j be 0 - (-4)\/(0 - -2). Let x = j - h. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 - 306\/(-540).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144837 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + (-5*sqrt(91)*2)\/((sqrt(98)\/sqrt(2))\/sqrt(7)))**2.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**4 - 3*y**4 - 2*y**4 + (65*y**2 - 62*y**2 - 1 + 5*y + 2)*(-y**2 + 0*y**2 + 0*y**2) as x + p*y + a*y**3 + r*y**2 + t*y**4 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4951411 * -4\nAnswer: -19805644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 12 (c) -0.5 (d) -1.7 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.51 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4822 and -2.\nAnswer: 9644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/30 and -11\/1706710?\nAnswer: 5120130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/22589551 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 61567*c\/3 + 61568\/3.\nAnswer: -(c - 1)*(c + 61568)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -260173.28.\nAnswer: 260180.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + 6\/(-36). Let d = 2.63 - -0.17. Let m = d - 3. Is i at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119035431 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6782 - 6185. Calculate the remainder when g is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/5 - 4*d**3 + 656*d**2\/5 + 4244*d\/5 + 714 = 0.\nAnswer: -21, -5, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3460 = -29*y - 4805. Is y at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52346526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-25))**(-42)\/(n\/(n\/(n**(-1\/40)*n))*n\/n**11))**(-2\/73) assuming n is positive.\nAnswer: n**(-42361\/1460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4 - 2 + 3*i - 2*i + 4. Let g be d(-6). Solve 2*o + 16 = -g*z + 4*z, 3*o = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 62*x - 48. Let q be k(6). Solve 3*b**5 - 15*b**3 + q - 135*b**2 + 115*b**4 + 92*b**4 - 192*b**4 = 0 for b.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(22)\/(sqrt(12)\/sqrt(6)) + (sqrt(11)*-4 + sqrt(11))*-1 + -2 + -2*sqrt(539) + -5)**2.\nAnswer: 126*sqrt(11) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229580 is divided by 12741.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 - 4. Suppose 4*m + 19 = 27. Let i(c) = 21*c**3 + c - 21. Calculate m*i(k) - 11*l(k).\nAnswer: -2*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -15\/281 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n - 7 - 4 + 11 as z*n + r and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 18*p**2 + 44. Let x be b(-18). What is the highest common divisor of x and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 621235 - 265?\nAnswer: 620640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-6))\/(36\/(-108)))\/(592\/(-32)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7596 by 4.\nAnswer: -1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t*v**3*y**3 - t*v**3*y - 1115*t*v**3 - 54*t*y - 143*v**2 - 2*v*y**3 wrt v.\nAnswer: -30*t*y**3 - 6*t*y - 6690*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -460 - -465. Solve 3*g - 9 = -l*s, -2*g + 4*g = -5*s + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2990*j - 9020. What is u(-3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 1\/2*h**6 + 1\/2*h**4 + 0*h**2 - 4*h + 21\/20*h**5 - 3 + 0*h**3. Let s(t) be the first derivative of u(t). Factor s(y).\nAnswer: 3*y**2*(y + 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21 - 0.31. Let i = 0.107 - 0.262. Let y = i + 46.155. Which is the closest to k? (a) 2 (b) 1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.29825.\nAnswer: -0.1193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -146 (c) -2\/13 (d) -565 (e) 1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z + 111 + 193. What is the nearest to -15 in z, -3\/7, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 14 - 59. Let q = 15 + o. Is (q\/3 - 0)\/((-2)\/(-213)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 3564\nAnswer: -1069.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0.3. Let a be 44\/(-20) - (-1)\/5. What is the closest to -0.1 in 3, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 153610, 306927, 460244, 613561, 766878?\n\"Answer: 153317*o + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14357 = -2*p + 3*v, -6*p + 4*p - 3*v = -14351. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295 - -296. What is the nearest to 0.1 in 0.02, h, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72810401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(72\/15 + 1\/5). Suppose -12 = 4*z, -5*z - 102 = j*b + 163. Let f be ((-5)\/(b\/12))\/(69\/230). Solve -f*w + 5 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -123.\nAnswer: -4\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 + 189. Let a be 4\/y + (-741)\/(-133). Let o(k) = -k**2 + 8*k - 7. Calculate o(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*r + 13 - 57, 2*c = -2*r + 24. Suppose -5*g - c = -10*g. Let x be (55\/(19 - 8))\/(5\/6). Solve g*s = -s - x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201423 divided by 5.\nAnswer: -201423\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*j - 62 + 2, 0 = -3*j + m + 60. Let a(c) = 4*c - 78. Calculate the smallest common multiple of a(j) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 8*l**2 + 8*l + 20. Let d be q(9). Suppose -44 = -d*h - 0. Let s be 1*-7*h\/(-4). Let v(j) = j**3 - 8*j**2 + 8*j. Calculate v(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4579 - -4583. Solve n - 2 = t*s, 101*n = 102*n + s + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-6))\/((-54)\/(4860\/150))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -542?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 304, 0, -1\/7, -2\/7?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81512 - 108?\nAnswer: 81405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.31 + 54.31. What is the biggest value in -0.08, -7\/5, a?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5448043571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39400 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let p be (v - (0 + 3))*-1. Let j = -3.01 - -0.01. What is the third biggest value in 0.2, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 65*h - h - 161660 = 0. What is the highest common divisor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748771 is divided by 241.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16932.8 - 16933. Let o = -159 - -180.4. Let g = 6.6 + o. Is q at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 11, -86, 5.\nAnswer: -86, -1, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -433769.\nAnswer: 2168845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7526 - 7525.7. What is the second smallest value in -1\/3, -293, y, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -35*s**2 - 15*s = 0.\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:13 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/520 and 73\/26.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 29*t**2 - 132*t + 4. Calculate o(13).\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -16*o**2 + 2*o - 1. Let a be m(1). Let y be a\/(-5) - 2\/2. Suppose -28 = -5*j + y. 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: Let u(d) = 0*d + 18 - 8 - d + 9. Let b be u(21). Let w(k) = -18*k - 2. What are the prime factors of w(b)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -40\/3 (b) 1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 431258.9 and 2.\nAnswer: 862517.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13874 + 13878. Let f be (-8)\/(-1)*5\/(-4). Let z be f\/(-168) - o\/28. What is the closest to -0.1 in 2\/7, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -356 (b) 6\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*k, -5*h + 2*k + 250 = -47. Solve 3*o + 52*a - h*a = -30, -22 = 5*o + a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011995 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*o**2 - 4096\/5 + 256\/5*o.\nAnswer: -4*(o - 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b31412 + d?\nAnswer: b31421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 848660.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 4\/5 (b) 2\/27 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-42 - -32) - (14 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1 + -2 + 0 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0.17 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**(-11))\/d)*d*d**(-1\/3)*d)\/((d*d**(7\/5)*d)\/(d\/(d\/d**(-9\/7)))))**40 assuming d is positive.\nAnswer: d**(-10936\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95378 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -44*u + 40. Calculate l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -619*i**2 + 88515*i + 327. Determine h(143).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000517736 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -156*z + 138. Let s(d) = -3*d - 5. Let f(a) = 84*s(a) - 6*v(a). Differentiate f(h) with respect to h.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1443?\nAnswer: 2\/1443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 54.8, 0.2.\nAnswer: 0.2, 15, 54.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 33. Let d = 19 + f. Let h be 1\/(-2) - d\/8. Sort -3, h, -5.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**8\/840 + 3*l**5\/20 + 14*l**3\/3 - 19. Let g(j) be the third derivative of d(j). Find the second derivative of g(q) wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631, -1252, -1863, -2464, -3055, -3636?\nAnswer: -4207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-20))\/(1\/10). Let g be (1\/2)\/(6\/f). Let w = 32 - 31.5. Sort w, g, -0.3 in increasing order.\nAnswer: -0.3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 10. Let a = -12.501 + 12.5. Let o = a + 0.001. What is the nearest to o in -5, 2\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 4*w**3\/3 + 50. Let n(h) be the first derivative of -15*h**2\/2 - 15. Give n(m(l)).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 1, q: 1, s: 9, c: 5}. Give prob of picking 1 c, 2 k, and 1 e.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/979)\/(-7)*(-25)\/100*-4.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 - 35330?\nAnswer: -35433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icciiiiiiici. Give prob of picking 3 i.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, 3\/290, -2\/13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 1172517*v - 123115608\/5.\nAnswer: 3*(v - 21)*(v + 1954216)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*q + q**2 + 110*q + q**2 + 2*q**2 - q**2.\nAnswer: 3*q*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 27 + 19. Solve -2*u - 2*u - 2*p = -8, -n*u = -5*p - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:29 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 131*b - 205668969*b**2 + 3 + 205668957*b**2 - 945*b to l*b + g*b**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) - sqrt(240)*-5)\/((sqrt(500)\/sqrt(10))\/sqrt(10)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*d - r = 170*d - 4496, -3*d + 3*r = -4512. What is the least common multiple of d and 750?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 79?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187153*f**3 + 544*f - 63035*f**3 - 1095*f + 551*f.\nAnswer: 124118*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 12*((-675)\/375)\/((-3)\/20).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1739.7 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 24 = 58. Suppose 0 = -7*n + n - 54. Let x = n - v. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j**2. Let h(p) = 3*p + 19. Let s(v) = v + 20. Let q(f) = -2*h(f) + 3*s(f). Determine k(q(g)).\nAnswer: 81*g**2 - 1188*g + 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 203\/3 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88517, 88512, 88505, 88496?\nAnswer: 88485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166355321 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 + -46)\/(2\/2)*(-24 + 19).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uomo. What is prob of sequence uo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) - 20\/48. Let f = 18\/7 + -464\/175. What is the second biggest value in n, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, 12 in decreasing order.\nAnswer: 12, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4761 and 22747?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.035, -2\/7, 2\/83?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.12 to zero decimal places.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04273812 rounded to 3 decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*0.4625\nAnswer: -0.06475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 388195830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 4089570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(1152) - sqrt(1152))**2 + sqrt(72)\/(sqrt(18)\/sqrt(2)) + 0 + sqrt(512).\nAnswer: 16 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2134, 2168, 2234, 2338, 2486?\n\"Answer: m**3 + 10*m**2 - 3*m + 2126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 632, 934, 1232, 1526?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17401, -1, -5, 1, 4, 27, 3.\nAnswer: -17401, -5, -1, 1, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + 1 - 13720\/(-35). Suppose 46 - f = -3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = -5. Let a(r) = 2 + 6*r + q - 2 - 5*r. Let n be a(0). Solve 5*z - 4*z = -n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -16*t - 1. Give g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9420 - -9426. Suppose 3*o + 15 = 4*o. Calculate the lowest common multiple of v and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/7 + 7928*v**2\/7 + 337212*v + 191820960\/7.\nAnswer: 4*(v + 171)**2*(v + 1640)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67906 is divided by 1476?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8956589 kilograms?\nAnswer: 895658.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2566 and 0 - (((-6)\/54)\/(-1) + 443\/(-99)).\nAnswer: 28226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493571056 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-80)\/(-108)*(-1 - 1\/2). Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20*(-4 + (-104)\/(-20)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2 - 5*r + 5. Let j(f) = f**2 + f - 1. Let k(o) = -3*d(o) - 15*j(o). Let i(q) = -37*q + q**2 + 16*q + 6*q**2 + 21*q. Calculate i(k(h)).\nAnswer: 63*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1851)\/69 - (-100)\/(-575)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -db4 (base 15) to base 7\nAnswer: -12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**3 - 11*p**2 + 1. Let x(m) = m**3 - 2*m**2 + m. Determine b(n) - 2*x(n).\nAnswer: 8*n**3 - 7*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1249326, -1249358, -1249376, -1249374, -1249346, -1249286, -1249188, -1249046?\nAnswer: -1248854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.9, -8, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 188, 7, -470, -1393, -2912, -5177?\n\"Answer: -25*x**3 + 2*x**2 - 12*x + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -934*q**2 + 96203*q - 93. Calculate g(103).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9374 + 12745. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 125\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-330)\/(-12)*(52\/(-10) - -2). Let v = i - -438\/5. What is the closest to 0.2 in 0, v, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23278118 + 0.2.\nAnswer: -23278117.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21.6? (a) 0.3 (b) 3 (c) 0.06 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -11.97. Let p = 12.0044 + q. Round p to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1895\/17 not equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*g + 484*g + 9211 = -36868 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 11*c**5\/20 + 13*c**4\/24 - 14*c**2 + c. What is the second derivative of r(b) wrt b?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 41*j + 6*j + 5*j as d + p*j and give p.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 11*r + 18. Calculate b(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 1283*i + 643*i + 646*i)*(-19*i - 33*i + 74*i - 2).\nAnswer: 132*i**2 - 848*i + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2843?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2 + 0*s**2 + 2*s**3 + 3*s**2 + 5*s**2 - 11*s**2 + 23*s. What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*r - 26, 3*r + 5 = -4. Suppose -y*z + 24 = -8*z. Put -4\/7, z, 2\/17, -0.2 in increasing order.\nAnswer: -4\/7, -0.2, 2\/17, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l - 14*l**2 - 40*l - 3*l + 22*l + 7*l.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 507*t**4 + 156*t**3 - 1665*t**2 - 1350*t = 0.\nAnswer: -15\/13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.3 - -1.8. Let m = -4 - l. Let i = 0.2 + -4.2. Which is the nearest to 1? (a) m (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 4*n)*(2 - 2 - 3*n)*(-3*n - 2*n - n) - 3*n**3 + 3*n**2 - 3*n**2.\nAnswer: 51*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 26*b - 15*b**2 - 1481*b**2 + 26*b.\nAnswer: -1496*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205835639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(7\/(245\/7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -603*c**2*l**2*q + 23*c**2*l*q + 102*c**2 - 2*c + 17*l**2 wrt q.\nAnswer: -603*c**2*l**2 + 23*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11471*b + 2111*b - 6967*b as v*b + g and give v.\nAnswer: 6615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3, 266*f = 4*i + 270*f - 126284. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, 12, 103, 194, 285?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -7*r**3\/6 - 14*r**2 - 42*r + 20. Calculate s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(108) - (-4*sqrt(108) + 5)) + 5.\nAnswer: -150*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -53. Is (-398)\/(-6) - (-10)\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-28)*-2 + 160\/56.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02948? (a) 0.7 (b) -2 (c) -3 (d) -0.585\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3 - 1692*d**2 + 19980*d - 59616 = 0.\nAnswer: 6, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/13 + 522*k**2\/13 - 1058*k\/13 - 1578\/13 = 0.\nAnswer: -263, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**2 - 2*o**2 + 6*o**2)*(o - 2*o + 4*o) + 2*o**2 + 3*o**3 - 2*o**2 to the form k*o**3 + z + p*o + j*o**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/238*652 - -5 - (-7 + (-413)\/(-49))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 352*z - 3165. Determine w(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6128 - -6089)*15\/(-13)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1082931 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 696544, 1392771, 2088996, 2785219?\n\"Answer: -w**2 + 696230*w + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*81\/(-18).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.04 + 0.04. Let k = 0.4 + -0.43. Let c = k - 3.97. Sort c, -5, x in decreasing order.\nAnswer: x, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -140790963*k + 182824916.\nAnswer: -140790963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(7\/2)\/d))*d*d)\/(d*d**3*d*d)*(d\/(d**(3\/8)*d*d)*d)\/((d\/(d\/(d**(-2\/15)\/d)*d))\/d) assuming d is positive.\nAnswer: d**(151\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5\/2 - 8196*m**4 + 16395*m**3\/2.\nAnswer: -3*m**3*(m - 1)*(m + 5465)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84 - -4?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l - 3*g, 3*g - 15 = -3*l + 12. Suppose -d - l*b + 2 = 0, -4*d + 3*d - 2*b = -2. Factor -h**2 - 5*h**2 + 0 - 2*h**3 - d - 6*h.\nAnswer: -2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 252*b**2 - 3761*b + 12407. Determine w(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -141, -133, -127, -123?\n\"Answer: -p**2 + 11*p - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*o + 27 + 68 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + 6*(1*(sqrt(320) - 4*(-2 + sqrt(320))))**2)*-6.\nAnswer: -529950 + 69120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 9*g**2 + g + 12. Let i = -12 + 3. Let d be z(i). Let h be ((-8)\/6)\/(4\/(-6)). Solve -d*k = h + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -159 (b) -2\/7 (c) -0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/98 - 13\/98. Let j = 27.04 - 0.04. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by 565.\nAnswer: -319\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*o, 3*l + 0*o = 2*o - 7. Suppose 0*q - 6 = 2*q - 4*m, 20 = 4*m. Suppose -5*w + q = -2*j, -2*w - 40 + 1 = 3*j. Sort l, 1, j.\nAnswer: j, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + (-293 - -302)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -9*v**5\/20 + v**4\/2 - v**3\/2 + 16*v**2 + 17*v - 4. What are the prime factors of s(-5)?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*v - 349*v - 26261 = 15280 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2119 - 580 = 0. Let y = i - -62. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 1:14 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v - 3*v - 4*v**3 - 1 + 5*v**4 - 3*v - 3*v**4 in the form n*v**2 + f*v + m*v**3 + w*v**4 + u and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 + 363*b\/4 + 945\/2.\nAnswer: -3*(b - 126)*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.66 + 0.36. Let g = 4 + s. Which is the second smallest value? (a) g (b) -0.4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-11)\/y)\/y)\/(y\/y**1)*y\/((y**(1\/9)\/y)\/y)*y\/(y*y*y**(3\/4)) assuming y is positive.\nAnswer: y**(-427\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*p + 1294 - 776 = -1162 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 48*h**2 - 155*h + 125. What is y(51)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzmz. What is prob of picking 1 m and 3 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1314 (base 5) to base 11\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 2, k: 2, l: 2}. What is prob of picking 1 k, 1 l, and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 12*s - 2*s. Let u(r) = 2 + 5*r - r - 13*r - 11*r. Let n be u(-2). What is the greatest common factor of n and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -931215233962 minus 0.1?\nAnswer: -931215233962.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aam when three letters picked without replacement from mmmammmmmammmmmmmmmm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47901940 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.2. Let i = 7645 + -466346\/61. Is i smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 + 23*s**2 - 13*s**2 + 3*s**3 + 6*s**3 - 10*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15*0.11\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 7*n - 13*n)*((-1 + 3 - 1)*(-1 - 2 + 2) - 3 - 2 - 1 + 5 - 4 - 3).\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0047 + 0.7953. Let h = -0.800676 + l. Round h to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 + 2182 = -133*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b - 11*b + 4*b)*(1026 - b**3 - 987 - b**3).\nAnswer: 44*b**4 - 858*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = i - 4311, 3*x + 21555 = 5*i + x. Let r = i - 25943\/6. Calculate the common denominator of 67\/33 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/283 (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484452 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 + 5*b + 1. Let y be s(5). Suppose -4*l + l = -3*g - 3, 5*g - 2 = -2*l. Let v = y - g. Sort 2, 5, v in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-2) - -1)\/((8*(-24)\/512)\/(-3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 870 by 435.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 3, 438, 464 in descending order.\nAnswer: 464, 438, 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -942316 + 3047449997\/3234. Calculate the common denominator of g and 17\/22.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*b, -f + 3*f - 3*b = -6. Suppose 0 = 5*q - f*q. Solve q = -3*x + 7*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -23962341?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 6. Suppose 4 = 3*q - 2. Suppose -v + 15 = -2*b, -2*b - q*b = 4*v + 12. What is a(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 7. Let u(h) = -h - 8. What is 7*i(a) + 6*u(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18498721 is divided by 551?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:36 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.607378l?\nAnswer: 1607.378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 7 - 287*j**2 + 294*j**2.\nAnswer: 7*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-15))\/((12\/(540\/15))\/(-5))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.0719 kilograms in nanograms?\nAnswer: 23071900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.143 and 0.035091.\nAnswer: -0.005018013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8 - 0.1?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 38. Let g(x) = -92*x + 420. Let i(w) = 4*w - 21. Let h(n) = -g(n) - 20*i(n). Give q(h(z)).\nAnswer: -12*z + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**5\/2 - l**4\/4 - l**3\/3 + 5*l**2 + 59*l. What is the remainder when t(2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25748401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:47 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 15. Let q = f - -7. Find the third derivative of 4*n**3 + 0*n**2 - 2*n**q - 3*n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 b when four letters picked without replacement from {s: 4, b: 2, z: 2, h: 2, u: 3}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13597444 greater than 13597449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-16)\/40)\/((-198)\/(-1375)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 3*p - 2*p)*(-9 + 6 - 26)*(-3 + 4 - 2) to q + b*p and give b.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 + (8 - (35 - 30)) + (2 - 0)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -51122\/9193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74447.3 days in milliseconds?\nAnswer: 6432246720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - (0 - (1 + 1)). Suppose -v*r = -21*r + 48. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5782 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 9) to base 4\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*v + 8, 0 = -2*q + 4*q + 5*v - 4. Solve -d + q = 5*m, d + 5 = 3*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 35, 57 in decreasing order.\nAnswer: 57, 35, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d**(-9)*d**(-10)\/d**(-13) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2671366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693125 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + 2 + sqrt(1300))*-4 - (2 + sqrt(1300) + -5))**2 + (sqrt(13) - sqrt(13)*-3) + sqrt(13) + -3 + sqrt(78)\/sqrt(6)*5.\nAnswer: 1770*sqrt(13) + 83318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66575832 a multiple of 718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrhrrhrrrhrrhhrhr. What is prob of sequence hr?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kebxtkeeekeekelee.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 1. Let s be k(4). Let y = s + 5. Suppose -z - 22 = -2*z + 4*r, y*z + 4*r = 20. Calculate the greatest common divisor of 126 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 46. Let p(y) = y**3 + y**2 - y + 2. Calculate p(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 2 - 2)*(0 + 5 - 6)*(-3*h**2 + 3*h**2 + 2*h**3).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5460*h - 760190 = -214190 for h.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301467 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 146451 - 8?\nAnswer: 146442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 90 = 5*g. Suppose 0 = 4*c - g - 10. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 5*c**2 - 5*c + 7. Let p be r(6). Suppose -3*g - 7 = -p. Solve -u - 9 + 4 = g*s, -4*s + 2*u + 10 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.15 - -2.14201. What is y rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*b - 38*b + 3 - 9*b - 8*b to a*b + l and give a.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rru when three letters picked without replacement from uuruuruuuruuuurr?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 57\/5 (c) 1 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l. Suppose l = -4*u + 10 + 14. Let f be ((-3)\/(-6))\/(1\/u). Solve 3*d + 4 = -d - 3*v, 3*d + f = -v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 10:52 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 14247 and 99725\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l. Let f(q) = -9*q**2 - 8*q - 1. Let w(t) = -f(t) - 6*m(t). Calculate w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*w**2 - 1510*w\/7 - 8\/7.\nAnswer: 2*(w - 4)*(189*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1014 divide 36547677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -134) + -81 + (-1 - 82).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/28 + (-6)\/21. Which is the third biggest value? (a) 0.2 (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 2 + 2)*(5 - 5 + 2*s + (3*s + s - 3*s)*(-1 + 6 - 2)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2 + 32386124*k - 64772232 = 0 for k.\nAnswer: 2, 8096529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - s - 2*s)*(-168 + 191 - 179) + (4 - 1 - 2)*(-4*s + 6*s - s) to the form l + c*s and give c.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 186*s**2 - 539*s + 1840. Calculate k(-183).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -449483 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3006*h**3 - 2041*h**3 + 3172*h**3.\nAnswer: 4137*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 5*g - 3*g**3 + 7*g**3 + g to h*g + t*g**2 + w + z*g**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 4:10 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-116)\/(-6) + (-10)\/(-20) and -27\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, f: 2, m: 3, s: 4, y: 1}. What is prob of sequence fsm?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjfjfjjjjjfjjjj. What is prob of sequence jffj?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**2 - 7*c + 25. Let u be q(4). Let y = -90 + u. Calculate the highest common divisor of y and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g - 24. Let q be a(-4). Let n(y) = 201 + 22 + 2*y + 173. Let l be n(q). Calculate the greatest common factor of l and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 51, 111, 191, 297, 435, 611, 831?\n\"Answer: j**3 + j**2 + 36*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 - -92. Let t = b + 76. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 - t + 4. Let o be c(0). Suppose 4*y - h - 464 = 2*h, o = -h. Let i = -56 - -79. What is the remainder when y is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 372 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**7\/70 + 81*x**6\/20 - x**4\/24 - 1549*x**3\/6 - 3115*x**2. Find the first derivative of j(g) wrt g.\nAnswer: 12*g**3 + 1458*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/(-6))*(-5)\/90?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/83 or 2?\nAnswer: 42\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*j**3 + 36*j**3 + 25*j**3.\nAnswer: 549*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 7. Calculate the smallest common multiple of 6 and o(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1 - 6 + m**2 - 2*m**2 - 11*m. Suppose 7*r - 4*r = 3, 0 = -2*z + 3*r + 9. Calculate the remainder when o(-5) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11767234625 and 0?\nAnswer: 11767234625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x**2 - 61*x + 5. Give m(11).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from mmmmnjmmmnnnmm.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*b, b + 4*z - 4 = 2*z. Let k(y) be the first derivative of -7\/2*y**2 - b*y + 4. What is the derivative of k(m) wrt m?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 491c (base 13) to base 3\nAnswer: 112011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 = 24*k + 53 + 278 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8761 or 1?\nAnswer: -1\/8761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 4*v - 8*v - 6*v in the form j + m*v and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8760, -9754, -10724, -11664, -12568?\nAnswer: -13430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/(2\/(-4)). Let d(i) = -4*i - 2. Let c be d(o). Is c greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.82 + -4.18. Put -1\/2, -5\/3, q in ascending order.\nAnswer: q, -5\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -230*n + 247*n - 164*n + 5*n + 0*n - 3*n + (-3*n - 4*n + 6*n)*(-2 - 1 + 2) - n + n + 2*n.\nAnswer: -142*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*p - 46*p + 158*p + 4 - 6 - 455*p.\nAnswer: -538*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30.34347 times 0.028\nAnswer: -0.84961716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4205 + -2160. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-1890)*(-82)\/2378?\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.1. Let a = -0.05 - 0.35. Let p = 0.5 + a. Put -5, p, d in ascending order.\nAnswer: -5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 98.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -10471005251620\nAnswer: 10471005251621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.2. Let g = 0.4 + u. Let a = 0.2 + 0.8. What is the smallest value in g, -2\/7, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (0 - 2\/(-1)). Suppose 3*b - n = 0, -2*a + 2*b - 8 = -0*b. Solve 0 = 2*d - a + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b. Let g be n(2). Let y be (12\/g)\/(4\/30). What is the greatest common factor of 63 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 0)*668\/18. Let l = n - -909\/2. Find the common denominator of (-186)\/9*(-3)\/(-4) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:22 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 119*s**2. Let o(j) = -9*j**2 + 34*j - 51. Let z(t) = t**2 - 4*t + 6. Let h be (102\/(-30))\/(2\/(-30)). Let u(a) = h*z(a) + 6*o(a). Calculate d(u(n)).\nAnswer: 1071*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 1138, 2507, 4414, 6853, 9818, 13303?\nAnswer: 17302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcb when three letters picked without replacement from jjkcbjkjkj?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7 + 315 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - r + 1. Let b be u(-3). Let s(f) = f - 21. Let o be s(13). Let j(t) = t**3 + 8*t**2 - 2*t - 18. Let z be j(o). Sort z, 0.2, b.\nAnswer: b, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let q(g) = -g**2 - 4*g + 3. Let l be q(-6). Let r = 11 + l. Sort u, -2, r in increasing order.\nAnswer: -2, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = -5*f - 6*f + 3*j, 6*j = -3*f - 8*j + 127 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}